CPM (Period 2) Assignments

No homework due to Chapter 5 test

• 5-103. This problem is a checkpoint for multiple representations of portions.  It will be referred to as Checkpoint 5.
• For each portion of a whole, write it as a percent, a fraction, and a decimal.  Also show it as a picture or situation.  Use a portions web to organize your answers.  Homework Help ✎
  1. 0.23
  2. seven tenths
  3. 19%
  4. 
• Check your answers by referring to the Checkpoint 5 materials.
• Ideally, at this point you are comfortable working with these types of problems and can solve them correctly.  If you feel that you need more confidence when solving these types of problems, then review the Checkpoint 5 materials and try the practice problems provided.  From this point on, you will be expected to do problems like these correctly and with confidence.
• 5-104. Write an algebraic expression to represent the length of each segment shown below.  Homework Help ✎
  1. 
  2. 
  3. 
• 5-105. Simplify each of the following expressions without using a calculator.  Then use a calculator to check your answers.  Homework Help ✎
  1. 0.045 + 1.2 + 62.003
  2. 56.7 − 0.23
  3. (7.8)(0.03)
  4. 6.3 − 7.5

• 5-101. Choose any strategy to find the area of each shape below.  Use the information in the Math Notes boxes for help.  Assume that the shape in part (a) is a parallelogram and that the shape in part (b) is a  trapezoid.   5-101 HW eTool (Desmos)  Homework Help ✎   
  1. 
  2. 
• 5-102. Find each sum.  Homework Help ✎
  1. −3 + 7
  2. 7 + (−8)
  3. 

No homework due to Chapter 5, Group Test

Area of a Triangle.  See attached.

• 5-93. Graph the trapezoid A(6, 5), B(8, −2), C(−4, −2), D(−2, 5).  Homework Help ✎
  1. Find the length of the bottom base (segment CB).  Then find the length of the top base (segment AD).  Use grid units.   
  2. Find the distance between the two bases, which is called the height.  Use grid units.
• 5-94. The first four multiples of 7 are 7, 14, 21, and 28.  Use this example to help you as you answer the questions  below.  Homework Help ✎
  1. What are the first six multiples of 9?
  2. What are the first six multiples of 12?
  3. What is the least common multiple of both 9 and 12?
  4. What is the greatest common factor of both 9 and 12?  
• 5-95. Draw a number line.  Then draw and label a dot to show the position of each of the following numbers.  Homework Help ✎
  1. 2.5
  2. 
  3. −2
  4. 0.5
  5. −1
  6. −

• 5-91. Find the area of each parallelogram below.  Show all of your work.  Use the Math Notes box in this lesson if you need help.  Homework Help ✎
  1. 
  2. 
• 5-92. Find the area of the following triangles.  Show all your work.  Homework Help ✎
  1. 
  2. 

Area of Parallelogram.  See attached

• 5-82. For each of the following products, estimate the answer.  Explain your reasoning.  Then multiply each set of numbers to see how close you were.  Homework Help ✎
  1. 
  2. 
  3. 3.1 · 2.7
• 5-83. Johanna is planting tomatoes in the school garden this year. Tomato plants come in packs of six. She needs 80 plants in the garden and already has 28. How many packs of plants will she need?  Homework Help ✎
• 5-84. Are you ready for a number puzzle?  Homework Help ✎
  1. Use the numbers 7, 5, 6, and 3, only once each, to create an expression that equals 75.  You may use addition, subtraction, multiplication, and/or division, but you must use parentheses.  
  2. Now use the Distributive Property to write an equivalent expression without parentheses.  (You may use the numbers more than once or use different digits for this part only.)

• 5-80. Use any of your new strategies to find the area of the parallelograms below.  The information in the Math Notes box may help.  5-80 HW eTool (Desmos).  Homework Help ✎   
  1. 
  2. 
• 5-81.  Additional Challenge: Jill lives 3 miles from school.  One morning, her friend was giving her a ride.  When they were  of the way to school, their car broke down and they had to walk the rest of the way.  Draw a picture to help you figure out how far they walked.  Homework Help ✎

• 5-73. Jack and Jill were each placing points on the grid shown below.  Jack’s points are the full circles, and Jill’s are the open  circles.  Homework Help ✎
  • 
• 1. Record Jack and Jill’s points as ordered pairs.
  2. Give the coordinates of one more point that Jill could draw so that she has four of her points in a row. 
• 5-74. Complete each of following statements.  Homework Help ✎
  1. If one cat has 16 whiskers, then seven cats will have        whiskers.
  2. If three slugs have six eye-stalks, then two slugs will have        eye-stalks.
  3. If eight spiders have 64 legs, then 5 spiders will have        legs. 
• 5-75. Draw generic rectangles to calculate each of the following products. Homework Help ✎
  1. 34 · 91
  2. 421 · 36

• 5-71. Bianca is trying to find the area of this rectangle.  She already measured one side as 10 cm.  Which other length(s) could she measure to use in her area calculation?  Explain your reasoning.  Homework Help ✎

  

• 5-72. Zac is making cookies, but he does not have enough brown sugar to make a full recipe.  The full recipe calls for  cup of brown sugar.
• If Zac has enough brown sugar for  of the full recipe, how much brown sugar does he have?  Homework Help ✎
  1. Represent the  cup of brown sugar the recipe calls for with a diagram. 
  2. Represent the portion of brown sugar that Zac has if he makes only  of the recipe.
  3. What mathematical operation should Zac use to find the amount of brown sugar he has?  Write an expression and then calculate its value. 

Multiplying decimals and percents worksheet.  See attached

• 5-63. Billy and Ken, the school’s cross-country stars, were each running at cross-country practice.  Billy was going to run  of the training course, and Ken was going to run  of the course.  However, during practice it started raining, so they could not finish their runs.  Billy had finished  of his run, while Ken had finished  of his run.  Draw a picture to determine which cross-country star ran the farthest.  Homework Help ✎
• 5-64. Add or subtract the following pairs of fractions and mixed numbers.  Homework Help ✎
  1. 
  2. 
  3. 
  4. 
• 5-65. Find the missing side lengths of each rectangle, (a) and (c) or square (b) and (d).  Homework Help ✎
  1. 
  2. 
  3. 
  4. 

• 5-61. Multiply to find the percents below.  Homework Help ✎
  1. 8% of 150
  2. 8.5% of 70
• 5-62. Genevieve is an architect and has just finished the plans for a new library.  She built a scale model to take to a planning meeting.  The City Council members love her design so much that they have asked her for two new models. 
• Help Genevieve decide how she will calculate the measurements of each new model to satisfy each of the given  conditions.  Homework Help ✎
  1. The council wants a model much smaller than Genevieve’s original model to fit in a scale model of the entire city.   
  2. The council wants a model slightly larger than the one Genevieve built to sit on a stand at the entrance of the old library building.

 

• 5-48. Ethan decided to give 10% of his monthly income to charity.  This month, he wrote the calculation at right.  Explain why this calculation is appropriate and finish it for him.  How much money should he give this month?  Homework Help ✎

   

• 5-49. Melissa wants to re-sod her yard (replace the grass).  Her backyard has a rectangular lawn area that measures 24  feet by 18 feet.  Her front yard has two rectangular areas, one of which measures 18 feet by 14 feet.  The other measures 12 feet by 14 feet.  How many square feet of sod does Melissa need?  Show all of your work clearly. Homework Help ✎

• 5-36. When making estimates, it is sometimes useful to approximate unfamiliar fractions by comparing them to numbers that are more familiar to you.  Homework Help ✎
  1. Copy the number line below on your paper, including the dots.  Keep the dots in the same positions.  Label each dot with one of the fractions from the list given  below.
  2. Which of these fractions are greater than or equal to 1?
     
  3. Which of these fractions are close to the number 1?
  4. Which of these fractions are close to ?
  5. Which of these numbers are close to 0?
     
• 5-37.  Richard’s strategy for changing a percent to a decimal is to put the decimal point in front of the percent number.  An example of his work is shown at right.  Do you agree with Richard’s method?  Explain your reasoning.  Homework Help ✎
   
• 5-38. Divide each pair of numbers below.  Homework Help ✎
  1. 75 ÷ 10
  2. 75 ÷ 100
  3. 75 ÷ 1000
  4. Describe in words what happens to the decimal point in each problem , (a) through (c) above. 

Addition and Subtraction of Mixed Numbers.  See attached

No homework due to testing

• 5-34. Complete the diagram below and write the multiplication problem and answer that would go with it.  Homework Help ✎
•                                                           
• 5-35. Draw a rectangle.  Label the lengths of the sides.  Enlarge it so that the ratio of sides of your new rectangle to the original one is .  What are the new dimensions?  Homework Help ✎

• 5-27. On your own graph paper, draw a rectangle with a width of 6 cm and a height of 8 cm.
  1. Draw a similar rectangle that is enlarged to 300%.  Homework Help ✎
  2. Draw a similar rectangle with lengths that are  of the original lengths.
• 5-28. Sophie claims that whenever she increases the perimeter of a rectangle, its area increases. 5-28 HW eTool  Homework Help ✎  
  1. She showed the rectangle at right and said, “If I make the base twice as long, then the area increases.”  Is her statement correct for this figure?  Draw a diagram of the rectangle she described and explain whether the area is greater or less than the rectangle at right.  
  2. Is her claim about the relationship of area and perimeter correct for all figures?  For example, is there any way that she could have a rectangle with a greater perimeter than the figure in part (a) but with the same area?  Give examples and explain your reasoning.

• 5-24. Write each of the mixed numbers below as a fraction greater than one, and write each of the fractions greater than one as a mixed number.  Include a diagram to explain each answer.  Homework Help ✎
  1. 
  2. 
  3. 
  4. 
• 5-25. Calculate each of the following parts of parts.  Homework Help ✎
  1.  of 
  2.  of 
• 5-26. Multiply each pair of numbers below.  Homework Help ✎
  1. 68 · 100
  2. 0.68 · 100
  3. 6.8 · 1000
  4. Describe in words what is happening to the decimal point in each problem, (a) through (c) above.

Fraction Multiplication.  See attached

• 5-15. Simplify each expression.  Homework Help ✎
  1. 
  2. 
  3. 
  4. 
  5. 
  6. 
• 5-16. Kelani wants to cut a piece of rope into several equally-sized pieces and then have a 10-foot piece remaining.  Write an algebraic expression to represent the length of each rope shown in the diagrams below.  Then use the equation you create to help Kelani figure out how long to make each of the equally-sized pieces.  Homework Help ✎
   
  1. A 25-foot piece of rope (find  n).    
  2. A 310-foot piece of rope (find  x).  
  3. A 13-foot piece of rope (find  j).    
• 5-17. Convert each mixed number to a fraction greater than one, or each fraction greater than one to a mixed number.  Homework Help ✎
  1. 
  2. 
  3. 
  4. 

• 5-13. Use a portions web to rewrite each decimal as a percent, as a fraction, and with words.  Homework Help ✎
  1. 0.2
  2. 0.05
  3. 1.75
  4. 0.002
• 5-14. Find each of the parts of parts described below.  For each one, create a diagram that demonstrates your thinking.  Homework Help ✎
  1.  of 
  2. 
  3.  of 
  4. 

• 5-7. Change each fraction greater than one to a mixed number, and change each mixed number to a fraction greater than one.  Homework Help ✎
  1. 
  2. 
  3. 
  4. 
• 5-8. Simplify each of the following expressions.  Be sure to simplify each of your answers as much as possible.  Write any answers greater than one as mixed numbers.  Homework Help ✎
  1. 
  2. 
  3. 
  4. 

No homework due to Chapter 3 Individual Test 

• 5-4. The diagrams below show the portion of another class mural that Josephine was supposed to paint and how much she actually did paint.  Use the pictures to answer the questions that follow.  Homework Help ✎

  The portion Josephine was supposed to paint:	The portion Josephine actually painted:

  1. Approximately what portion of the painting was Josephine supposed to paint? 
  2. Approximately what fraction of her assigned portion did Josephine actually complete? 
  3. Write a product to show what portion of the mural Josephine actually painted. 
• 5-5. Draw a rectangle with a width of 8 units and a length of 6 units.  Homework Help ✎
  1. What is the enlargement ratio if you enlarge the figure to have a width of 16 units and a length of 12 units? 
  2. If you wanted to reduce the 8 by 6 rectangle by a ratio of , what would the dimensions of the new rectangle be?
• 5-6. Recall the definition of absolute value from the Math Notes box in Lesson 3.2.4.  For each pair of points below, find the distance between the given points.  Show your work using absolute value symbols.  Homework Help ✎
  1. (13, 14) and (−3, 14)
  2. (−9, 1) and (−9, 11)

• 4-37. Simplify each of the following absolute value expressions.   Homework Help ✎
  1. 
  2. 
  3. 
• 4-38. Copy the following problems, then use the number line to help you fill in < (less than) or > (greater than) on the blank line between each pair of numbers.  Homework Help ✎

  

  1. −4.84 ___ −8.48
  2. 7 ___ −7
  3. −6.5 ___ −5
  4. −1 ___0
• 4-39. Evaluate the expressions below for the given values of the variables.  Homework Help ✎
  1. 6j − 3     for j = 4
  2. b + 5    for b = 14
  3. 8 + 4k    for k = 3.5

• 4-34. Julian was studying a pattern made with toothpicks, and he started the table shown below.  Homework Help ✎

• Figure Number	Number of Toothpicks
  1	7
  2	10
  3	13
  4
  5

  1. Copy and complete the table.
  2. Draw axes and plot Julian’s points.
  3. How can you describe what all of these points have in common?
• 4-35. Estimate each sum or difference below by stating which whole numbers the answer should be between.  Then check your conclusion by calculating the actual sum or difference.  Homework Help ✎
  1. 5.2 − 2.09
  2. 25 − 17
  3. 3 + 2
  4. 103.57 + 29.6
• 4-36. Find the prime factorization for each number below. Homework Help ✎
  1. 36
  2. 45
  3. Find the greatest common factor for 36 and 45. 
  4. Find the least common multiple for 36 and 45. 

• 4-16. Look at the figure formed by square tiles below.  How can you find out how many small squares there are in this diagram without counting each one?  Think about this as you answer the questions below.  Homework Help ✎
• 
  1. Write and simplify an expression involving addition to count the number of small squares. 
  2. Write and simplify an expression involving subtraction to count the number of small squares. 
• 4-17. A team of students worked on problem 4-12.  The team’s work is shown below.  Unfortunately, the expressions, descriptions, and diagrams got mixed up!  Match the counting method, word description, and diagram that describe the same strategy.  Homework Help ✎

• • Counting Methods	Word Descriptions	Diagrams
    a. 4 · 10 − 4	1. Start in one corner and count 9 four times around the picture frame.	A.
    b. 10 + 9 + 9 + 8	2. Take a side length of 10 four times and take away the four corners.	B.
    c. 9 · 4	3. Take the entire 100's grid and subtract the inside part of the picture frame.	C.
    d. (10 · 10) − (8 · 8)	4. Take the top length, then add the two vertical sides and add the bottom.	D.

• 4-18. Melissa collected the dates of all her friends’ birthdays.  The histogram at right shows what she found out.  Make a list of the months when her friends’ birthdays occur and how many birthdays there are in each month.  Homework Help ✎

• 4-9. Simplify each expression below.  For each expression, draw a picture or show how you know your answer makes sense.  Homework Help ✎
  1. 5 +(−4) + 12.65
  2. 6.5 + (−2) + 10.5
  3. 4(−5 + 100)
  4. −212 + (−102)
  5. 4 + 6(3) + 2(5 − 1)
  6. 5 + 3(5) + (−4)(5)
• 4-10. Read the Math Notes box in this lesson. Then complete the following division problems.  Homework Help ✎
  1. 683 ÷ 4
  2. 212 ÷ 9
• 4-11. Rewrite each decimal as a fraction or fraction as a decimal.  Homework Help ✎
  1. 0.007
  2. 0.103
  3. 1.21
  4. 
  5. 
  6. 

• 4-7. Croakie now has a new routine that is 59 feet long.  Keep this distance in mind as you complete parts (a) and (b) below.  Homework Help ✎
  1. In his new routine, Croakie makes seven super jumps, all the same length, and then hops 3 feet.  How long is each super jump? 
  2. If  x  represents the length of one super jump and  2x  represents the length of two super jumps, write an expression that represents Croakie’s routine.  
• 4-8. Now Croakie can do a super high jump!  Homework Help ✎
• The first time he performed his new super-high-jump routine, he did three super-high jumps and then hopped five feet.  The second time, he did only two super-high jumps and then hopped six feet.  Both times, he covered the same distance.  His attempts are shown in the diagram below.

  

  1. How far does Croakie travel in one super-high jump?  Explain or show how you know. 
  2. How long is his whole super-high-jump routine?  How can you tell? 

There is no homework due to a team test and Spring Break!

• CL 3-140. Compute each sum.
  1. 
  2. 1.4 + (−2.3)
  3. −5.2 + (−8.39)
  4.  + 4.29
• CL 3-141. Marcus used the Venn diagram at right that shows the prime factors of 21 and 35.
  1. How can Marcus use the diagram to find the least common multiple of 21 and 35?  Explain.
  2. How can Marcus use the diagram to find the greatest common factor of 21 and 35?  Explain.

• CL 3-138. Copy the number line below on your paper.  Then label the following numbers on the line in the appropriate locations.
   
  
  1. 
  2. 120%
  3. 0.07
  4. 1
  5. 83%
  6. 
• CL 3-139. Label the dimensions and the area for each generic rectangle shown below.  Then write a mathematical sentence showing the multiplication of factors and the product.
  1. 
  2. 

There will be no homework due to 7th grade placement testing.

• 3-131. The following representations have been drawn to represent portions of a 100% block.  Write each of the portions in at least two different forms.  Homework Help ✎
  1. 
  2. 
• 3-132. This problem is a checkpoint for addition and subtraction of fractions.  It will be referred to as Checkpoint 3.
• Compute each sum or difference.  Simplify if possible.  Homework Help ✎
  1. 
  2. 
  3. 
  4. 

Absolute Value and Coordinate Plane worksheets.  See attached

• 3-128. Evaluate each absolute value expression below.  Homework Help ✎
  1. 
  2. 
  3. 
  4. 
• 3-129. Name the endpoints of the segment shown on the graph below.  What is the length of the segment?  Write an absolute value expression to show how to calculate the length of the segment.  Homework Help ✎

  

• 3-130. Find the greatest common factor and the least common multiple of each of the following sets of numbers.  Homework Help ✎
  1. 12 and 7
  2. 3, 15, and 9
  3. 20 and 30

• 3-120. You can see in the examples below that not all number lines increase by one unit from mark to mark.  Sketch the number lines on your paper and fill in the missing numbers.  Homework Help ✎
  1. 
  2. 
  3. 
  4. 
• 3-121. A triangular flower bed (space for planting flowers) needs a thin metal border all the way around it.  The sides are 7 feet, 6 feet, and 9 feet long.  Homework Help ✎
  1. How many feet of border should be purchased?  Make a sketch and show your work. 
  2. If borders cost $8.75 per yard (and only whole numbers of yards can be purchased), how much would the border cost? 

No homework due to quiz

 

• 3-118. Simplify the following expressions.  Show your work.  Homework Help ✎
  1. 8.23 + 10.9
  2. −6 − 9
  3. 8 − 3 − 4
  4. 0 − 3
  5. 15 − 20
  6. −9 + 14
  7. 
  8. 5 − 9
• 3-119. Solve the number puzzles below. 3-119 HW eTool (CPM)  Homework Help ✎
  1. If I add 9 to my number, I get 6.  What is my number? 
  2. If I start at –5 on a number line and end up at –8, what direction did I move?  How many units did I move? 
  3. If I moved up 8 and then moved down 8, what can you tell me about my ending position? 

3-122. One of the topics you will review in this course is reading graphs. Look at the graph below. This graph shows positive and negative values on both axes. It divides the plane into four parts, or quadrants. It is called a four-quadrant graph. The quadrants are numbered I, II, III, and IV in a counter-clockwise manner as shown.  Homework Help ✎

1. The coordinates (the x- and y- values) for point A are (–4, 3). Explain how these numbers tell you the position of point A using the graph.
2. Name the coordinates (x, y) for points B and C.
3. If Deepak moved from point A 8 units to the right and 10 units down, at what point on the graph would he end up?  Which quadrant is the new point in?|

No homework due to math CAASSP Practice Test.

• 3-108. In parts (a) and (b) below, copy the vertical number lines and use them to show the solution to the problems.  Homework Help ✎
  1. 5 − 2 
  2. 2 + 1 
  3. Show how to find the answer to  −3 + 4 − 1 on a number line.
  4. Rachel said that −4 −3 ends up being positive because two negatives always give a positive.  Draw the problem on a number line, and then explain whether you agree or disagree with Rachel.   
• 3-109. The yearbook staff at Jefferson Middle School has been busy taking pictures.  Of the 574 pictures the staff members have taken, only 246 of the pictures will make it into the yearbook.  Approximately what portion of the pictures that were taken will make it into the yearbook?  Use a complete portions web to show your answer.  Show your work.  Homework Help ✎
• 3-110.  Carefully copy the graph and point A on a piece of graph paper. 3-110 HW eTool (Desmos). Homework Help ✎
  1. Plot the points listed below.  Then connect them in the order given and connect point D to point A.
     A (2, 3), B (3, 7), C (7, 7) , D (8, 3) 
  2. What is the name of the shape that you drew?

• 3-106. Find the missing value in each number sentence.  Homework Help ✎
  1. 4 −3.5 + 3.5 − 1 = _____
  2. −2 + 4 + 4 = _____
  3. 
• 3-107. Find common denominators and calculate each of the following sums.  Homework Help ✎
  1. 
  2. 
  3. What is the least common multiple of 8 and 4?  Of 5 and 3? 
  4. Explain how finding the least common multiple of two numbers can help you add fractions.

Integers worksheet.  See attached.

Ratios Worksheet.  See attached

• 3-96. Rewrite each product below using the Distributive Property.  Then simplify to find the answer.  Homework Help ✎
  1. 18(26)
  2. 6(3405)
  3. 21(35)
• 3-97. Compute each sum or difference.  Homework Help ✎
  1. 
  2. 
  3. 
• 3-98. A seed mixture contains ryegrass and bluegrass.  If 40% of the mixture is ryegrass, what is the ratio of ryegrass to bluegrass?  Homework Help ✎

• 3-94. Lucas’ frog is sitting at −2 on the number line. 3-94 HW eTool (CPM). Homework Help ✎
  1. His frog hops 4 units to the right, 6 units to the left, and then 8 more units to the right.  Write an expression (sum) to represent his frog’s movement. 
  2. Where does the frog land?
  3. What number is the opposite of where Lucas’ frog landed? 
• 3-95. Draw and label a set of axes on your graph paper. Plot and label the following points: (1, 3), (4, 2), (0, 5), and (5, 1).  3-95 HW eTool (Desmos) Homework Help ✎. 

• 3-84. Walter is mixing cement for his new patio.  He knows he needs to use a water-to-cement ratio of 20 to 30.  What percent of his total mixture is water?  Homework Help ✎
• 3-85. David wants to find  and is wondering if using decimals can help him make sense of adding fractions.  Homework Help ✎
  1. How could  be written using decimals?  What is the sum as a decimal?
  2. How could your answer from part (a) be written as a fraction?
  3. Rewrite  as a fraction that could be added easily to .
• 3-86. Use the data and axes below to create a histogram for Mr. Nguyen’s class grades.  Homework Help ✎
• 50, 55, 57, 60, 62, 65, 78, 80, 82, 85, 88, 89, 90, 91, 93, 95, 96, 98, 99
• 

Fraction, Decimal, Percent, Equivalent Worksheet.  See attached

• 3-75. Amanda and Jimmy have jobs as dog walkers.  Examine the graph at right and answer the following questions.  Homework Help ✎
• 1. Who has more hours of dog walking?  How do you know?
  2. Who has earned the least amount of money?  How do you know?
  3. Are both students earning the same amount of money per hour?  Show your work to justify your answer.
• 3-76. Preston picked five playing cards and got a 2, 3, 6, 5, and 1.  3-76 Student eTool (Desmos). Homework Help ✎ 
  1. What two-digit and three-digit numbers could he create that would have the greatest sum?  Is there more than one possibility?  What is that sum? 
  2. What two-digit and three-digit numbers could he create that would have the smallest sum?  Is there more than one possibility?  What is that sum? 
• 3-77. Use the Distributive Property to rewrite each product below. Simplify your answer.  Homework Help ✎
  1. 28 · 63
  2. 17(59)
  3. 458(15)

Get Chapter 2 Test signed by parent, also.

 

• 3-73. In this lesson, you looked for ways to convert between equivalent forms of fractions, decimals, and percents.  Using the portions web, write the other forms of the number for each of the given portions below.  Show your work so that a team member could understand your process.  Homework Help ✎
  1. Write  as a decimal, as a percent, and with words/picture. 
  2. Write 0.30 as a fraction, as a percent, and with words/picture.   
  3. Write 85% as a fraction, as a decimal, and with words/picture. 
  4. Write one and twenty-three hundredths as a percent, as a decimal, and as a fraction. 
• 3-74. Maya and Logan each made up a “Guess my Decimal” game just for you. Use their clues to determine the number.  Homework Help ✎
  1. Maya gives you this clue: “The decimal I am thinking of is 3 tenths greater than 80%.  What is my decimal?”  Show your work. 
  2. Logan continues the game with this clue: “My decimal is 3 hundredths less than 3 tenths.”  Use pictures and/or words to show your thinking. 

Chapter 2 Review for tomorrow's test

• 3-48. Which of the following fractions could you add together easily?  Explain.  Homework Help ✎

  , ,  ,  ,  ,  ,  ,  ,  ,  ,  

• 3-49. Alex earns $7.75 a day by walking dogs for his neighbors. If he walks dogs for 12 days, how much money will he make? Show how you got your answer.  Homework Help ✎

• 3-45. An article in the local paper states that 30% of the students at Oak Grove Middle School earned a place on the Silver Honor Roll. If there are 920 students at Oak Grove, how many are on the Silver Honor Roll?  Use a percent ruler to help you decide.  Show all of your work.  Homework Help ✎
• 3-46. Given the following descriptions of portions, write each portion as a percent.  Use a 100% block to help you visualize the portions. 3-46 HW eTool (CPM). Homework Help ✎
  1. 3 tenths and 6 hundredths
  2. 8 hundredths
  3. 17 hundredths
  4. 11 tenths
• 3-47. Maurice's gas tank can hold 60 liters of gas. On your paper, copy and label the percent ruler below.  Then use it to find how many liters are in the tank when it is:  Homework Help ✎

  

  1. 50% full
  2.  full
  3.  full

• 3-34. As you have discovered, any fraction can be rewritten in many equivalent ways.  When choosing a denominator that will work to add two fractions, there is no single correct choice.  Often, people find it convenient to use the smallest whole number that all denominators divide into evenly.  This number is called the lowest common denominator. 
• For example, when adding the fractions , you could choose to rewrite each fraction with 48 or 96 in the denominator.  However, the numbers will stay smaller if you choose to rewrite each fraction with a denominator of 24, since 24 is the lowest number that 3, 6, and 8 divide into evenly.  (Dividing into a number evenly means that there is no remainder.)
• For each of the following sums, first rewrite each fraction using the lowest common denominator.  Then add.  Read the Math Notes box in this lesson for additional help.  Homework Help ✎
  1. 
  2. 
• 3-35. Find the following sums or differences.  Homework Help ✎
  1. 12.35 + 1.08
  2. 8.02 − 0. 64
  3. 568.38 − 134.21
  4. 0.29 + 0.92

• 3-31. For each of the following portions, draw a diagram of the mixture in the jar.  Then shade a layer that would correspond to this portion of raisins.  Finally, order these portions from least to greatest.  Homework Help ✎
  1. 40%
  2. 
  3. 25%
  4. 
• 3-32. At Cassie’s Cashew Shoppe, a sign says, “Today only: 20% off anything.”  Maribel realizes that she has a coupon for  off the price of anything in the shop.  Which discount should she use, the 20%-off deal or the  -off coupon?  Does it matter?  Explain.  Homework Help ✎
• 3-33. Maribel is taking advantage of the sale at Cassie’s Cashew Shoppe.  She wants to figure out how much she will save on a purchase of $34.  Maribel’s percent ruler is shown below.  Copy the ruler on your paper and help her figure out what 20% of $34 is.  Homework Help ✎
• 

• 3-18. If five notebooks cost $5.25, how much would three notebooks cost?  Homework Help ✎
• 3-19. Jing Ya takes the bus across town to school each morning.  Last week, he timed his trips and found that the time varies day to day.  The times (in minutes) are listed below.  Homework Help ✎
• 15, 10, 11, 13, 11
  1. If you had to use one number to tell someone how long it took Jing Ya to get to school, what would you say?
  2. Jing Ya does not want to be late.  If he needs to get to school by 8:00 a.m. each day, what is the latest time he should get on the bus (assuming one is waiting for him at any given time)?  Explain how you got your answer. 
• 3-20. Study the dot pattern below. 3-20 HW eTool (CPM). Homework Help ✎
• 
  1. Draw the 3^rd and 5^th figures.
  2. How many dots will there be in the 50^th figure?  
  3. Is there a figure that will have exactly 38 dots?  If so, which figure is it? 

• 3-15. Find the measure indicated in each question below.  Homework Help ✎

• a.	Find the perimeter of the triangle.	b.	Find the area of the large rectangle.
  c.	Find the area and perimeter of the rectangle at right.

• 3-16. Write down at least three different pairs of numbers that add together to get 1.  Homework Help ✎
•  
• 3-17. Use the Distributive Property to rewrite each of the expressions below.  Then simplify.  Homework Help ✎
  1. 12(309)
  2. 8(100 + 10 + 8)

• 3-12. Copy and complete each of the following Giant One problems. Homework Help ✎
  1. 
  2. 
  3. 
• 3-13. Rachel says that when she ran 115 yards, she went farther than Beth, who only ran 327 feet.  Is Rachel correct?  Explain how you know.  Remember that 1 yard = 3 feet.  Homework Help ✎
• 3-14. Look at the two histograms below.  They give you information about the heights of players on two basketball teams, the Tigers and the Panthers.  Use the histograms to answer the following questions.  Homework Help ✎
• 
  1. Which team has taller players?  Which has shorter players?  Explain your thinking. 
  2. Which team has heights that vary more?  Explain your thinking. 
  3. Which team has more players that are about the same height? 

No homework due to team test.

Students solve equivalent fractions by using a giant one.

• CL 2-95. Remember that factors are numbers that multiply to give a particular product.  If necessary, refer to your work in Lesson 1.2.4 for a reminder about factors.
  1. List all of the factors of 16.
  2. List all of the factors of 18. 
• CL 2-96. Place the digits 4, 7, 5, 6, and 8 in the boxes below to make the largest and smallest sums possible.
• 

• CL 2-97. Draw a Venn diagram to represent the following situation.  Then use your diagram to answer the questions below.
•  
• Out of 50 students, 15 are taking English and 30 are taking chemistry.  Of those students taking English and chemistry, 6 are in both classes.
  1. How many students are taking chemistry and not English?
  2. How many students are taking English and not chemistry?
  3. How many students are taking neither of the classes?
• CL 2-98. Consider the rectangle shown at right. Note: 1 yard = 3 feet
•  
  1. What is the area of the rectangle in square yards?  In square feet?  Show how you know.
  2. What is the perimeter of the rectangle in yards?  In feet?
• CL 2-99. Complete these generic rectangles.  Then write a numerical sentence showing the original multiplication problem and the product.
  1. 

• 2-88. The following number lines are missing some numbers.  Sketch each one on your paper and use the information provided to complete the number lines.  Homework Help ✎
  1. 
  2. 
  3. 
  4. 
• 2-89. For each of the following problems, complete the fraction on the right so that the fractions are equal. Be sure to show your work clearly. Homework Help ✎
  1. 
  2. 
  3. 
• 2-90. This problem is a checkpoint for addition and subtraction of decimals.  It will be referred to as Checkpoint 2.
• Add or subtract the following decimals.  Homework Help ✎
• 1. 2.95 + 18.3 + 11
  2. 9.2 − 0.375
  3. 0.275 + 27.5
  4. 90 − 0.903
• Check your answers by referring to the Checkpoint 2 materials. 
• Ideally, at this point you are comfortable working with these types of problems and can solve them correctly.  If you feel that you need more confidence when solving these types of problems, then review the Checkpoint 2 materials and try the practice problems provided.  From this point on, you will be expected to do problems like these correctly and with confidence.

No homework due to quiz

• 2-86. Look at the generic rectangle at right.  Homework Help ✎
  1. What two numbers are being multiplied using this rectangle?  How can you tell? 
  2. Write the product as a sum of the areas and find the answer.  
  3. Use the Distributive Property to write an equation showing that the product is equal to an expression with parentheses, multiplication, and addition. 

• 2-87. In Section 2.1, you learned how to create dot plots, bar graphs, histograms, and stem-and-leaf plots.  Which of these representations would best display the data given below?  Use that representation to display the data.  Homework Help ✎

• Boot sizes of the Math Marching Team:

• 10, 8, 12, 10, 10, 9, 10, 11, 12, 8, 8, 9, 10, 11,
• 10, 9, 11, 11, 12, 11, 10, 11, 8, 10, 12, 8

No homework due to shortened schedule.  There will be homework for tomorrow night.

• 2-77. Figure out whether each of the following pairs of fractions is a pair of equivalent fractions.  Be sure to show all of your work or explain your thinking clearly.  Homework Help ✎
  1.  and 
  2.  and 
  3.  and 
• 2-78. Misty and Yesenia have a group of Base Ten Blocks.  Misty has six more blocks than Yesenia.  Yesenia’s blocks represent 17.  Together they have 22 blocks, and the total numbers of blocks represent 85.  What blocks could each girl have?  What is the value?  Homework Help ✎
• 2-79. COMPARING WAYS TO REPRESENT DATA.
• Use the golf-tournament data below to complete parts (a) through (e). Homework Help ✎
• Ages of golfers participating in a golf tournament:
• 44, 48, 40, 25, 28, 37, 29, 34, 45, 51, 43, 35, 38, 57, 50, 35, 47, 30, 63, 43, 44, 60, 46, 43, 33, 45, 42, 34, 32
  1. Use the data to create a dot plot. 
  2. Why is a dot plot not the best choice for graphing this data?   
  3. Create a stem-and-leaf plot for the data.   
  4. Use the stem-and-leaf plot to create a histogram for the data. 
  5. What range of ages do most golfers fall between?  Do you see any ages that are much larger or smaller than other ages?   
•  

• 2-75. Solve each generic-rectangle puzzle.  For each part, write a multiplication sentence, as you did in problem 2-72. Homework Help ✎
  1. 
  2. 
• 2-76. James is painting his 10-by-8-foot bedroom wall that contains a 2-by-3-foot window.  Homework Help ✎
  1. Draw a diagram of his wall and the window. 
  2. How many square feet of wall does he need to paint?  

• 2-67. Jenny has been saving her babysitting money for a class field trip to Washington, D.C.  She wants to save $200.00 over three months.  She saved $53.00 the first month and $67.00 the second month.  Homework Help ✎
  1. Estimate (without calculating) the amount that Jenny needs to earn during the third month to meet her goal.  
  2. Now show how Jenny could calculate the amount of money she needs to earn. 
• 2-68. Find three fractions that are equivalent to three eighths.  Explain your method.  Homework Help ✎
• 2-69. Janelle and three of her friends bought four smoothies of equal cost for a total of $3.  If she purchases the same smoothies on another day for herself and nine of her friends, how much money will she spend?   Homework Help ✎

• 2-65. Draw a generic rectangle to help you calculate each product.  For each part, write: (total dimension)(total dimension) = sum of individual area parts = total area.  For example, the diagram at right shows that (12)(27) = 200 + 40 + 70 + 14 = 324.  Homework Help ✎
  1. (73)(42)
  2. 125 · 81
• 2-66. Copy and complete the table of multiples below (count by 3s and count by 4s).  Extend the table so that it has 14 columns of values.  Homework Help ✎
• 

Perform generic rectangle problems 1-4

• 2-57. Use your understanding of equivalent fractions to write two fractions that are equivalent to each of the following fractions.  Homework Help ✎
  1. 
  2. 
  3. 
• 2-58. Ruth’s brother, Ethan, planted a garden for her as a surprise while she was away.  He planted seeds for vegetables in 50% of the garden.  He also planted flowers and herbs.  Homework Help ✎
•  
• The entire circle in the graph at right represents the area of Ruth’s garden.  If the lightly shaded portion represents flowers, estimate what percentage of the garden could be herbs.  Explain your estimate.
•  
• 2-59. Add or subtract.  Homework Help ✎
  1. 34.62 + 74.8
  2. 213.09 − 37.2
  3. 3.15 + 36.8 + 7

• 2-55. Draw a generic rectangle to multiply 37 · 42. Homework Help ✎
  1. Write an equation using addition that shows the total area of the generic rectangle. 
  2. Multiply 37 · 42 by using the standard algorithm for multiplication.  That is, place one of the numbers under the other and use the procedure for multiplication that you were taught in previous courses.  Show your work.  Compare your result with your answer from part (a). 
  3. Which method of multiplication do you prefer?  Why? 
• 2-56. Riley is looking at the diagram at right in his math book.  Identify the factors and product represented by the rectangle.  Homework Help ✎

• 2-46. Find the area and perimeter of the figure at right.  All angles are right angles.  Show all of your work.  Homework Help ✎
• 

• 2-47. Draw and label two different rectangles, each with perimeters of 20 units.  Do the rectangles have the same area?  Explain your thinking. 2-47 HW eTool (CPM). Homework Help ✎

Area and Perimeter of Paths assignment

Area and Perimeter of L shapes

There will be no homework due to Chapter 2 quiz performed today.

• 2-48. Think about the Base Ten blocks you used during the lesson.  Using 1 hundred block, 3 ten blocks, and 6 one blocks, create a shape with the largest possible perimeter.  Remember that the blocks need to be touching along a side, not connected at a corner.  Sketch your solution and show all of your work. 2-48 HW eTool (CPM). Homework Help ✎
• 2-49. Given the data in the table below, copy and complete the histogram below to represent families of various sizes.  Remember that data falling on a tick mark (3, 6, 9, …) goes in the bin to the right of that mark.  What range do most families fall between?    Do you see any families that are much larger or much smaller than other families?  Homework Help ✎
• 
• 2-50. Consider the units in this list: inches, centimeters, feet, yards, meters, kilometers, and miles.  For each situation given below, list the units that would be most commonly used to measure the length or distance described.  Homework Help ✎
  1. Distance from Bellingham, WA, to Washington, DC. 
  2. Length of a small stuffed animal. 
  3. How far you walk during lunchtime at school.  
  4. Height of your classroom.  
  5. Length of your shortest fingernail.   

• 2-36. Use the numbers 2, 3, and 4 and the operations (mathematical processes) of addition, subtraction, multiplication, or division to create three different numerical expressions with three different values.  One of the expressions should have a value of 14. Homework Help ✎
• 2-37. What is the best way to display the data below?  Why?  Display the data using the method you chose.  Homework Help ✎

                    Daily high temperature for Honolulu, Hawaii in December of 2009: 

  83, 83, 81, 82, 80, 83, 81, 82, 79, 83, 84, 82, 81, 81,
  80, 81, 84, 80, 80, 81, 81, 82, 80, 79, 78, 80, 84, 82, 82, 81, 83

• 2-38. Find the missing number that makes each of the following number sentences true.  Homework Help ✎
  1. 15 · ? = 90
  2.  = 18
  3. 6 · ? = 96
  4.  = 13

• 2-34. Assume that the shaded tiles in the large square at right each have an area of one square foot.  Use this information to answer the following questions. Homework Help ✎
  1. What is the total area of the shaded squares?
  2. What is the total area of the un-shaded squares?
  3. Find the total number of square feet of area in the figure in two different ways.
• 2-35. Hector measured the area of his desktop by covering it with quarters (25¢ coins).  Can he find the area using these circular units of measure exactly, or will he have to estimate?  Explain your answer.  Homework Help ✎

• 2-26. Multiple Choice: Which of the following measures could describe the area of a desk?  Explain how you know.  Homework Help ✎

  A.    4 square inches	B.     4 square feet
  C.    4 square meters	D.     4 square miles

• 2-27. Copy and complete the stem-and-leaf plot below for the following set of data: 64, 87, 52, 12, 17, 23, 45, 88, 45, 92, 62, 76, 77, 34, and 53.  Homework Help ✎

  

• 2-28. Add or subtract.  Homework Help ✎
  1. 9.67 + 49.7 + 5.22
  2. 4.2 + 1.903
  3. 97.1 − 35.04

• 2-24. Lakisha made a giant triangle using two pattern blocks: one green triangle and one red trapezoid. Homework Help ✎
  1. What is the area of the entire shape if the green triangle has an area of 1 square cm?
  2. What is the area of the entire shape if the red trapezoid has an area of 1 square inch?
• 2-25. Find the area of the shape below that was cut from graph paper.  Use square centimeters as your units.  The problem has been started for you.  Homework Help ✎
• 

• 2-17. Maria was putting together party favors (small bags of treats for each person) for her niece’s birthday party.  In each bag, she put three small chocolate candies, and four hard candies.  If Maria had 12 bags, how many candies did she use in all?  How could you represent this with a number expression?  Homework Help ✎
• 2-18. How many different rectangles can you draw with an area (number of “tiles”) of 28?  What is the perimeter (number of “toothpicks”) of each one?  Show your work. 2-18 HW eTool (CPM). Homework Help ✎
• 2-19. Ms. Katz paid $50 for a used bicycle and then sold it to her neighbor for $60.  She decided to buy it back, but she had to pay $70 for it.  If she then sold it again for $80, how much money did she make or lose overall?  Show your solution in enough detail so a teammate could easily understand how you found your answer. Homework Help ✎

• 2-15. Copy the sequences and fill in the missing numbers. Explain the pattern in words.  Homework Help ✎
  1. 5, 14, 23, 32, 41, ____, ____, ____
  2. 3, 6, 12, 24, 48, ____, ____, ____
• 2-16. Lyn asked some of her classmates how many people are normally at home for dinner.  

  She recorded her results in the histogram shown at right.

    Homework Help ✎
  1. How many classmates were surveyed?
  2. How many classmates have eight or nine people at home for dinner?
  3. Can you tell which is the most common number of people at home for dinner? Why or why not?

• 2-8. On a hot summer day, Leo and Stefano decided to buy some refreshments at the Fruit and Smoothies store.  Fruit kabobs cost $1.75 each and smoothies cost $2.50 each. Homework Help ✎
  1. Leo ordered two fruit kabobs and one smoothie.  How much did he spend?
  2. Stefano ordered three fruit kabobs and four smoothies.  How much did he spend?
  3. Arturo could not decide, but he had $9.00 he could spend on fruit kabobs and smoothies.  He knows he wants at least one of each.  What are some combinations he can afford?  (Show at least three possibilities.)
• 2-9. Lulu is playing “Toothpicks and Tiles” from Lesson 1.1.2.  She has arranged 10 tiles as shown below.  She wants to rearrange them so that the number of toothpicks remains the same.  Draw one possible arrangement of the tiles. 2-9 HW eTool (CPM) Homework Help ✎

• 2-10. Add or subtract.  Remember to line up the decimal points. Homework Help ✎
  1. 53.199 − 27.61
  2. 155.96 + 56.232
  3. 83.617 − 36.518

No homework.  Happy Thanksgiving!

• 2-6. For the problem below, display the data using a dot plot, bar graph, or Venn diagram.  Decide which type of data display is best and explain why.  Homework Help ✎

  Appliances sold at Housemart during the month of September:

  Washers: 35              Dryers: 21                 Ovens: 19

  Refrigerators: 27                              Dishwashers: 23

• 2-7. Elizabeth wants to challenge you to a “Toothpicks and Tiles” game.  Using exactly 6 tiles, solve her challenges below.  Justify your answers with pictures and labels. 2-7 HW eTool (CPM) Homework Help ✎
  1. Find a pattern where the number of toothpicks is more than double the number of tiles.
  2. Find a pattern where the number of toothpicks is 4 more than the number of tiles.

No homework due to Chapter 1 team test

• CL 1-99. Find the perimeter and area of each figure below.
  1. 
  2. 
  3. 
  4. Sketch at least one way to rearrange the tiles in part (a) so that the shape has a larger perimeter.
• CL 1-100. Write the missing number that makes each of the following number sentences true.
  1. 12 · ? = 180
  2.  = 12
  3. 7 · ? = 98
  4.  = 11

• 1-90. Write a whole number in the box in the fraction  that makes it:  Homework Help ✎
  1. Equal to 1.
  2. Greater than 1.
  3. Less than 1.
  4. Equal to 0.
  5. Greater than 100.
• 1-91. Study the dot pattern below. 1-91 HW eTool (CPM) Homework Help ✎

  

  1. Sketch the 4th and 5th figures.
  2. How many dots will the 50th figure have?

• 1-87. Write four different fractions that are equal to 1.  Use your calculator to check that you are correct.   Homework Help ✎
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  RAD

  DEG

   

   

   

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  $$7

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  $$a2

  $$ab

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  $$4

  $$5

  $$6

  $$×

  $$√

  $$ⁿ√

  $$(

  $$)

  $$1

  $$2

  $$3

  $$−

  $$sin

  $$cos

  $$tan

  $$π

  $$0

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  ans

  $$+

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  powered by
• 1-88. Copy and complete the table of multiples below (count by 2’s and count by 3’s).  Homework Help ✎
• 
  1. Write down all the numbers that appear in both rows.  Describe any pattern(s) that you notice.
  2. What is the smallest number that appears in both rows?  This number is said to be the least common multiple of 2 and 3.
  3. Find three more common multiples of 2 and 3.
  4. Can you find the largest number that is a common multiple of both 2 and 3? If so, what is it? If not, explain why not.
• 1-89. How many “hands” long is your bed?   Homework Help ✎
  1. Using your hands as units of measure, first estimate(without actually counting) the number of “hands” that you think will fit across the length of your bed.
  2. Now measure and record the length of your bed using your hands.

• 1-85. Use your multiplication table to figure out the missing number in each of the following number sentences.  Each missing number is represented by n. 1-85 HW eTool (CPM) Homework Help ✎
  1. 15n = 225
  2. 
  3. 11n = 143
  4. 
• 1-86. Jack has four tiles and wants to find out how many different shapes he can make with them. 1-86 HW eTool (CPM) Homework Help ✎
  1. Sketch all of the arrangements that Jack could make with his tiles so that all of the tiles touch at least one other tile completely along a side.  Assume that no tiles can overlap.  How many arrangements are there?
  2. For each diagram that you drew in part (a), find the area (the “tiles”) and the perimeter (the “toothpicks”).  What do you notice?

• 1-71. Using whole numbers, fractions, and decimals, write at least eight addition equations that have a sum of 10.  Write more if you can.  Homework Help ✎
• 1-72. Use your knowledge of place value to place the correct inequality sign (<, > ) between each pair of numbers.  Homework Help ✎
  1. 5.207 ___ 5.27
  2. 3.006 ___ 3.06
  3. 2.408 ___ 2.40
  4. Round each number in part (b) to the nearest tenth.

• 1-68. Harry had a pile of 48 pennies.  He organized them into a rectangular array with exactly four rows with 12 pennies in each row.  Homework Help ✎
• Draw diagrams to represent at least two other rectangular arrays he could use.  Do you think there are more?  Explain your thinking.
• 1-69. For each number of pennies below, arrange them first into a complete rectangular array and then into a different rectangular array that has a remainder of one (so there is one extra penny).  Write an expression for each arrangement. Homework Help ✎
  1. 10 pennies
  2. 15 pennies
  3. 25 pennies
• 1-70. How many pennies are represented by each expression below?  Homework Help ✎
  1. 3 + (4 · 5)
  2. (4 · 3) + 7
  3. (2 · 3) + 5 + (4 · 2)

• 1-59. Connie is helping her mother gather together the loose change (coins) in their house.  They have collected a large jar full of quarters and dimes.  Connie wants to arrange the coins on the table to make it easy to know how much money they have. Homework Help ✎
  1. On your paper, draw a diagram to show Connie how she can arrange her quarters and dimes to make her money easy to count.
  2. Draw another arrangement that would also be easy to count.
  3. Which of your arrangements do you think is easiest to count?  Explain why.
• 1-60. Use your knowledge of place value to place the correct inequality sign (<  or  >) between each pair of numbers.   Homework Help ✎
  1. 16.5 ___ 16.52
  2. 4.110 ___ 4.10
  3. 5.963 ___ 5.9
  4. Write the numbers given in part (b) in words.  
• 1-61. Aria and 19 of her friends plan to go to a baseball game.  They all want to sit together.  Aria wants to order the seats in the shape of a rectangle, but she cannot decide on the best arrangement.  She starts by considering one row of 20 seats.   
• Draw a diagram showing Aria’s idea for a seat arrangement.  Then draw all of the other possible rectangular arrangements for 20 seats.  Label each arrangement with its number of rows and the number of seats in each row.  Are all arrangements practical?  Explain.  Homework Help ✎

No homework due to quiz

Chapter 1 Review

• 1-47. Write one whole number or one fraction in each blank to make each statement true.  Homework Help ✎
  1. One hundred pennies equals ____ dollar(s).
  2. Two hundred pennies equals ____ dollar(s).
  3. Fifty pennies equals ____ dollar(s).
  4. Ten pennies equals ____ dollar(s).
  5. One penny equals ____ dollar(s).
• 1-48. Matthew’s mother asked him to go to the store for her.  To get to the store, he walked seven city blocks.  He caught the bus and rode 13 blocks.  He got off and walked one and a half blocks to the store.  He purchased the items his mother wanted and returned home the same way.  How many total blocks did he travel?  Homework Help ✎

Describing and extending patterns

No homework due to a short class on Friday.

Area and Perimeter review

• 1-37. Eli walked 12 feet down the hall of his house to get to the door.  He continued in a straight line out the door and across the yard to the mailbox, a distance of 32 feet.  He came straight back across the yard 14 feet and stopped to pet his dog.  Homework Help ✎
  1. Draw a diagram of Eli’s walking pattern.
  2. How far has he walked?
  3. How far from the house is he now?
• 1-38. Nadine and Diondra were working together to divide a circle into three equal parts.  They came up with the diagrams shown below.  Tanisha said, “One of these pictures is wrong.”  Homework Help ✎
• What do you think?  Is one picture incorrect? If so, which one?  Why?

 

 

• 1-39. Find a pattern in each number sequence below.  Then use your pattern to generate the next five numbers in the sequence.  Explain the pattern.  Homework Help ✎
  1. 2, 5, 3, 6, 4, ____,  ____,  ____,  ____,  ____
  2. 100, 99, 97, 94, 90, ____,  ____,  ____,  ____,  ____

• 1-36.  Bob and Mark decided to try the peanut and raisin investigation at home.  Bob started with 10 peanuts on his tray, and Mark started with 10 raisins on his tray, as shown in the diagram at right. Homework Help ✎
• 1. Mark gave 3 raisins to Bob, as shown in the diagram below.  How does the number of peanuts and raisins on Bob’s tray compare to the number of peanuts and raisins on Mark’s tray? 
  2. Copy the diagram below.  Circle a group of any 3 peanuts and raisins on Bob’s tray.  Besure to circle some of each for a total of 3.  Then give them to Mark.  Does Bob now have more of Mark’s raisins, or does Mark have more of Bob’s peanuts? 
  3. Now start from the beginning and repeat parts (a) and (b) assuming that 8 (instead of 3) snack items are handed from one student to the other.  Explain your results.

• 1-30. Copy the number patterns below and write the next four numbers in the pattern.  Assume the pattern continues as shown.  Describe the pattern in words.  Homework Help ✎
  1. 2, 7, 12, 17, 22, ___, ___, ___, ___
  2. 1, 4, 9, 16, 25, ___, ___, ___, ___
  3. 1, 1, 2, 3, 5, 8, ___, ___, ___, ___
• 1-31. Round each number to the specified place.  Read the Math Notes box in this lesson for a reminder of rounding to a given place value.   Homework Help ✎
  1. 5,294.6
     (hundred)
  2. 45,469.23
     (thousand)
  3. 7526.442
     (hundredth)
  4. 492.3069
     (thousandth)

• 1-28. The table at Below shows data for winter temperatures in Urbana, IL.  You will brainstorm questions that could be answered using the data.  Homework Help ✎

  Year	Avg. Temp. (ºF)		Year	Avg. Temp. (ºF)
  1990	29		2000	31
  1991	28.7		2001	24
  1992	33.7		2002	34.1
  1993	28.3		2003	26.1
  1994	24.9		2004	27.8
  1995	30.6		2005	31.3
  1996	26.3		2006	31.3
  1997	23.8		2007	28.6
  1998	34.6		2008	27.4
  1999	31.8		2009	25.2

  1. Create a question that could be answered by using all of the data.
  2. Create a question that could be answered using just some of the data.
  3. How could you organize the data to answer your questions?  Write your answer using complete sentences.
• 1-29. Use the histogram below to answer the following questions.  The histogram contains the amount of snowfall in Urbana, IL during winter from 1990 – 2009.  Homework Help ✎

  

  1. Which range of snowfall measurements occurred most often?  
  2. Were there any years with unusually high or low snowfall amounts?
  3. Half of the years had snowfall amounts above how many inches? 

• 1-23. Use the bar graph below to answer the following questions.  Homework Help ✎

  

  1. How many people attended the fair on Tuesday?
  2. Which day had the largest attendance?
  3. What was the total attendance for the week?

 

 

1-20. The value of a decimal becomes clearer when the place value is spoken or written as the number it names.  For example, 0.1 makes more sense if it is read as “one tenth” rather than “zero point one.”  Homework Help ✎

1. Write the following numbers in words so that the place value can be identified.  

   0.4               1.3               0.56               2.008

2. Now reverse your thinking.  Write the decimals that go with the following words.  

   thirty-five hundredths                three and two tenths                six hundredths

• 1-19. Study the dot patterns in parts (a) and (b) below.  Assume that each pattern continues to increase by the same number of dots and in the same locations for each figure.  For each pattern, sketch the 4th and 5th figures and then predict how many dots will be in the 100th figure. 1-19a & 1-19b HW eTool (CPM). Homework Help ✎

  a.
  b.

• 3. For each pattern, explain how you made your prediction for the 100th figure.

• 1-12. Consider the first three figures of the pattern below.  Homework Help ✎

• 

  1. On your own paper, draw what Figure 4 of this pattern should look like.
  2. Using words, describe what Figures 5 and 6 should look like.
  3. Using words, describe how the pattern is changing.
• 1-13. Vi is trying to figure out how a square can be divided into four equal parts.  Show her at least three different ways to divide a square into four equal parts.  Homework Help ✎
• 1-14. The band students at Tolt Jr. High and Maywood Middle School have been invited to participate in the Evergreen Music Festival in Seattle.  Each group has decided to have a car wash to raise money to pay for the trip.  Use the graph below to answer the following questions.  Homework Help ✎

  

  1. Which school washed more cars?  How do you know?
  2. Which school has raised the most money so far?  How do you know?
  3. Additional Challenge: Find how much each school is charging to wash a car.  Show your work to justify your answer.

1-11. In the “Toothpick and Tiles” game, you looked at the number of square tiles and the number of toothpicks used to form shapes. The math words that describe the number of tiles and toothpicks are area and perimeter. Read the Math Notes box for this lesson to review how area and perimeter are related to tiles and toothpicks. Then follow the directions below.. 1-11c HW eTool (CPM) Homework Help ✎

1. Find the area and perimeter of the tile figure at right.
2. Find the area and perimeter of the rectangle at right.
3. Now design your own shape with 5 square tiles. Record the perimeter and the area.

1-10. Janelle wants to challenge you to a “Toothpick and Tiles” game (described in problem 1-8).  Using exactly four tiles, solve her challenges below.  Justify your answers with pictures and labels. 1-10 HW eTool(CPM) Homework Help ✎

1. Create a tile pattern where the number of toothpicks is exactly double the number of tiles.
2. Create a tile pattern where the number of toothpicks is more than double the number of tiles.

Matching histograms

Stem and leaf plot review

Exploring Stem and Leaf plots

No homework due to Chapter 8, Test

Mean, Median, Mode, and Range Review

Histogram

Stem and leaf plot

1. SUMMARIZING MY UNDERSTANDING

Data is used every day in the world around us to help people make decisions.  Often, when people are trying to make a convincing argument or market a product, graphical displays and measures of center are chosen based on how they can help to make a strong, convincing argument. 

Today you will use the skills you learned in this chapter to analyze the talents of two frogs.  Look at the data provided about Frog A and Frog B and analyze the information.

• Work with your team to display the data in a box plot, a histogram, and a stem-and-leaf plot.  Calculate any measures of central tendency that might help you decide which frog is a better jumper. 
• After you learn as much as you can about these two frogs, decide which frog you think is the best jumper.  Obtain a Chapter 8 Closure Graphic Organizer (GO), choose a data display, and present the statistics that you believe will support your claim. 
• Write a convincing argument for why the frog you chose is the best jumper.  Make sure to refer to your graphs and measures of central tendency in your argument.

• 8-83. Levi used the box plot below to say, “Half of the class walked more than 30 laps at the walk-a-thon.”  Levi also knows that his class has more than 20 students. Homework Help ✎
• 
  1. Do you agree with him?  Explain your reasoning.  If you do not agree with him, what statement could he say about those who walked more than 30 laps?
  2. Levi wants to describe the portion of students who walked between 20 and 30 laps (the box).  What statement could he say? 
  3. How could you alter a single data point and not change the graph?  How could you change one data value and only move the median to the right?  
  4. Can you determine how many students are in Levi’s class?  Explain why or why not. 

8-77. The first four multiples of 5 are 5, 10, 15, and 20.  Homework Help ✎

1. What are the first six multiples of 10?  
2. What are the first six multiples of 8? 
3. What is the least common multiple of 10 and 8? 

8-74. Read each question below and decide if it is a statistical question.  If possible, reword the question so that it is a statistical question.  Homework Help ✎

1. How tall is the Empire State Building? 
2. How much milk do Americans drink each day? 
3. What is the price of an oil change in Seattle, Washington? 
4. What size shoe do you wear? 

There will be no homework assignment due to a quiz that was performed on Friday, September 22

Chapter 8 review to prepare for tomorrow's quiz on stem and leaf plots, mean, median, and range.  See attachment.

• 8-67. Create a histogram of the data from problem 8-66.  What are the advantages and disadvantages of displaying the data using a histogram?  Homework Help ✎
   
• 8-68. Create a box plot of the data from problem 8-66.  What are the advantages and disadvantages of displaying the data using a box plot?  Homework Help ✎

8-66. Jerome is keeping track of how many books he and his friends have read during the first 100 days of school.  The numbers of books are 12, 17, 10, 24, 18, 31, 17, 21, 20, 14, 30, 9, and 25.  Help Jerome present the data to his teacher. 8-66 HW eTool(CPM). Homework Help ✎

1. How many pieces of data, or observations, does Jerome have?  
2. Make a stem-and-leaf plot of the data.
3. Jerome wants to present the data with a plot that makes it possible to calculate the mean and the median.  Can he do this with a stem-and-leaf plot?  He is not asking you to calculate them, but he wants you to tell him if it is possible and why. 
4. Use the stem-and-leaf plot to describe how the data is spread.  That is, is it spread out, or is it concentrated mostly in a narrow range? 
5. Would it be helpful for Jerome to create a dot plot to display and analyze the data from problem 8-66?  Why or why not?

Complete Measures of Central Tendency problems  1-8

8-56. How do box plots help compare data?  Think about this question as you compare the data below that shows the ages of students at three schools.  Homework Help ✎

1. Which school is a K-8 school?  How do you know?  Does that school have more students in grades K-2, 3-5, or 6-8?  Why?  
2. What does the box plot for School C tell you about 11-year-old students at that school?   
3. How many students attend School C? 

Due to a short lesson day and the need for a greater comprehension of box plots, there will be no homework for Wednesday, September 13.  However, there will be sufficient time to cover the lesson on Thursday, and the students will have homework for September 14.  Tutoring sessions will begin tomorrow, as well.

 

Alden created a box plot for the calories in 11 different brands of sodas as shown below.  Homework Help ✎

1. How do you think Alden collected the data for his box plot?
2. According to this graph, give as complete a description about the calories of the 11 brands of soda as you can? Consider the center, shape, spread, and outliers

Perform problems 1, 2, and 3 of the mean, median, mode and range worksheet

• Mr. Hernandez is the new school basketball coach.  He wants to compare the scoring results for his  team from two different games.  The number of points scored by each player in each of the games are shown below.
• Game 1:  14,  10,  10,  8,  12,  4,  10,  16,  12,  9
• Game 2:   9,  16,  11,  12,  8,  15,  9,  14,  4,  10
1. How many total players are on the team?
2. What is the mean number of points per player for each game?
3. What is the median number of points per player for each game?
4. What is the range of points for each game?  

There is no academic homework due to lessons devoted for students to learn the RMS Way of behavior.

 

 Get Math quiz signed!!!!

 

Find the mean, median, and range for each set of data

 

A.  29, 28, 34, 30, 33, 26, and 34                     B.  25, 34, 34, 27, 25, 31, and 30

 Students have no homework due to taking a mean and median quiz today

 Back to School Night Slide Presentation

 

Back to School Night Information:

1. Parents please use Parent Portal to check on your child’s progress at, https://portal.erusd.k12.ca.us/Parent/LoginParent.aspx.  You can get your password from our secretary, Tina

2.   Need help with math, science, or you need to find out homework information?  You can find           information at the RMS website at, http://rms.erusd.org/apps/classes/show_class.jsp?classREC_ID=767599

3.  Please get in touch with me at my email account of [email protected].  You may also call me at (562) 801-5088, or send a voice message at 562-395-3611

          

 

• 8-25. The weights of 19 hummingbirds are given below in ounces.  Create a histogram for the data and use it to justify whether the mean or the median is a better choice for a “typical” hummingbird’s weight and calculate it. 8-25 HW eTool (CPM). Homework Help ✎

  11, 8, 10, 10, 10, 9, 4, 9, 7, 5, 11, 8, 9, 11, 10, 10, 10, 9, 10.

• 8-26.  Mrs. Sakata is correcting math tests.  Here are the scores for the first fourteen tests she has corrected: 62, 65, 93, 51, 55, 12, 79, 85, 55, 72, 78, 83, 91, and 76.  Which score does not seem to fit in this set of data?  How will the outlier score affect the mean and the median of the data?  Explain. Homework Help ✎

 8-21. Inspect each data set below and the statement made about it.  Each statement is false.  Without making any calculations, determine how you can explain or justify that the statement is false.  Homework Help ✎

1. “The set of 24, 25 26, and 28 has a mean of 30.”  
2. “15 is the median of this data set: 12, 14, 15, 13, and 16.”  

 8-20. There are five students of different ages.  Their median age is 13 years.  Homework Help ✎

1. What are two possibilities for the ages of the three oldest students? 
2. If each student is a different age, how many students must be younger than 13? 
3. In complete sentences, describe what a median is to another student in the class.  Pretend that the student was absent the day you learned about medians. 

 Find the outlier in a set of data

 Find the mean of each set of data:

 

1.  80, 89, 79, 84, 95, 79, 78, 89, 76, 82, 76, 92, 89, 81 and 123

 

 

2.  34, 31, 37, 44, 38, 34, 42, 34, 43, and 41

 Find the mean of each set of data:

 

1.  29, 28, 34, 30, 33, 26, and 34                          2.  25, 34, 35, 27, 31, and 30

 Find the median and range of this set of data:  34, 31, 37, 44, 38, 34, 43, and 41

 8-7. Mark’s scores on his first nine assignments were: 10, 10, 9, 9, 10, 8, 9, 10, and 8. Homework Help ✎

1. What are the median and range of his scores? 
2. What is his mean (average) score so far?
3. Mark did not do the tenth assignment, so he got a zero on it.  Zero is an outlier for these assignments.  What is his new mean? 

 There will be no homework due to the students being placed in their groups for the first time.

 Your Math History: Do you remember your Kindergarten teacher? How about 1st grade? Take
a moment to recall as much as you can about each grade you have had so far. Please write about the math you learned in each of the grade levels.

1. Read the instructions for the “Personal Data” section (reprinted below).  Write down a few planning ideas, then get a separate piece of paper and write about yourself.
   
   Personal Data: Tell your teacher about yourself.  You may wish to include things like how many siblings you have, people you live with, sports you enjoy, favorite subjects in school, hobbies, and other topics you like.
   
   This is the first paper you will turn in to your teacher.  Be sure to use your best writing skills.  You can use the lines on the resource page to list your ideas, but write your full response on a separate piece of paper.