Sixth Grade CPM (Period 1) Assignments

No more homework!  Have a nice summer!

Get Chapter 6 Test signed by parent

No homework due to Chapter 6 Testing

Homework is attached

• CL 6-125. In the figure below, the area of the shaded region is 3 square inches. What is the area of the total figure?

  

• CL 6-126. Copy the following expressions on your paper and simplify them by combining like terms.  Using algebra tiles may be helpful.
• 1. 4x + 2 + 2x + x² + x
  2. 10x + 4 − 3 + 8x + 2
  3. 4 + x² + 3x + 2x² + 4
  4. x + 4 + (x − 1) + 3 + 2x
• CL 6-127. Use the correct Order of Operations to simplify each of the following expression.
  1. 9 − 3 · 2
  2. 5(7 − 1) + 2²
  3. 18 − 7 ÷ 2 + 5 · 4

Name__________________________________

• 6-118. Molly is raising cows.  She has a pasture for them that is 0.65 square miles in area.  One dimension of the pasture is 0.4 miles long.  Homework Help ✎

What is the length of the other side of the pasture?

How much fencing will she need to go around the pasture?

• 6-119. This problem is a checkpoint for locating points on a number line and a coordinate plane.  It will be referred to as Checkpoint 6.
• In part (a), indicate the approximate location of each number on a number line.  In part (b), tell the name of each point in the coordinate plane.  Homework Help ✎

−2,  4,  −1.7,  ,  −0.2,  −,  4,  150%

b.

• 6-115.  Sketch the algebra-tile shape at right on your paper.  Write an expression for the perimeter of the shape.  Then find the perimeter for each of the given values of  x.  Homework Help ✎
  
  1. x = 7 units
  2. x = 5.5 units
  3. x =  units
• 6-116. Arrange the numbers below from least to greatest.  Homework Help ✎
• , , −, 1, −
• 6-117. Copy the diagram at right on your own graph paper.  Then enlarge or reduce it by each of the following ratios.  Homework Help ✎
•  
  1. 
  2. 

Study Cornell Notes for Chapter 6, Lesson 2, quiz on Earthquakes and Seismic Waves.

Complete and turn in Earthquakes and Seismic Waves Reinforcement Worksheet.

Name___________________________-

• 6-108. Represent each of the following numbers two ways: by drawing an area model and by using a number line.  Homework Help ✎
1. 1
2. 125%

• 6-109. Answer each of the questions below.  Homework Help ✎
1. How many eighths are in 5?  Use your answer to rewrite 5 in the form .
2. How many fifths are in 6?  Use your answer to rewrite 6 in the form .

• 6-110. Evaluate the expressions below for the given values of the variables.  Homework Help ✎
1. 6j − 3 for j = 4
2. b(b) + 5 for b = 3
3. 8 + 4k for k = 3.5

Name______________________________

 

• 6-106. Find the perimeter and area of each figure made of algebra tiles below.  Homework Help ✎
  1. 
  2. 
  3. 
• 6-107. Sketch the collection of algebra tiles that is described by the following expression.  Rewrite the area of the collection by combining like terms. Homework Help ✎

  7x + 2x² + 3x² + 3 + x

Name__________________________________

• 6-98. Molly and Nancy disagree about the value of the expression 2 + 3 · 4.  Molly thinks it is 20, and Nancy thinks it is 14.  How could each girl have calculated her answer?  Who is correct?  Homework Help ✎

• 6-99. Show how to divide 3 pieces of licorice among 4 people.  How much does each person get?  Homework Help ✎

• 6-100. Recall that a factor of a number divides the original number and leaves no remainder.  For example, 4 and 6 are factors of 12.  Homework Help ✎
1. Find all factors of 24.

1. Find the smallest number that has 1, 2, 3, 4, and 5 as factors.  What is the special name for this number?

1. Find the second smallest number that has 1, 2, 3, 4, and 5 as factors.

No homework due to sixth grade standards assessment for seventh grade CPM.

No homework due to Friday's (May 13) team exam.

• 6-86. On your paper, sketch the shape made with algebra tiles below.  Then answer parts (a) and (b) below.  6-86 HW eTool (CPM).  Homework Help ✎

  

  1. Find the area of the shape.
  2. If the algebra tiles were rearranged into a different shape, how would the area change?
• 6-87. Your team members forgot to clean up their algebra tiles, and now the tiles are all over your desk.  6-87 HW eTool (CPM).  Homework Help ✎

  

• Sort the tiles so that they are in groups that are all the same.  Write a sentence explaining how many of each type of tile you have. 

• 6-88. Draw a number line from 0 to 2.  Then write the following numbers in its correct place on the number line.  Homework Help ✎
• 0.2              1.5               1.9               1.09            1.19
• 6-89. Find the perimeter and area of each figure below.  Homework Help ✎
  1. 
  2. 
• 6-90. There were 25 words on a recent vocabulary test in English class, and Owen got four words wrong.  What percent did he get correct?  Homework Help ✎

Order of Operations Worksheet

1. 1.  3(4 − 2) 2.  16 − 5(3 − 1) 3.  3(4x − 2) + 8  
4.      
5. 4.  9 − 3 · 2 5.  5(7 − 1) + 22  18 − 7 ÷ 2 + 5 · 4
8. 7.  6(7 + 3) + 8 ÷ 2 8.  25 + 52 + 9 - 32 9.  (5 - 2)2  + (9 +1)2

10.  5(17 - 7) +4· 3 - 8 11.  14 ÷ 2 + 6 x 8 ÷ 2 - (9 -3)2 12.  42 + 9(2) ÷ 6 + (6 - 1)2

There will be no homework due to a shortened test schedule for classes.

Name_________________________________

• 6-76. For each of the following parts, write the completed set of fractions on your paper.  Homework Help ✎
1. Complete these fractions to make them close to 0: .
2. Rewrite these fractions to make them close to  : .
3. Rewrite these fractions to make them greater than 1 but less than 2: .

• 6-77. Include a sketch and a division number sentence to support each of your answers below.  Homework Help ✎
1. How many fifths are there in a whole?
2. How many thirds are there in 2?
3. How many are there in 4?

• 6-78. What portion of one dollar is represented by each of the following sets of coins?  Express each answer both as a fraction and as a percent.  Homework Help ✎
1. One quarter
2. Three dimes
3. Eight nickels
4. 23 pennies
5. Five quarters
6. Nine dimes

• 6-72. Simplify each expression.  Homework Help ✎
1. 16 − 5(3 − 1)
2. 31· 4 + 18 · 6
3. 3.45(22) − 8.18(1)
4. 4 · 5 −22 + 3(5 − 4)

• 6-73. Draw a number line and place each of the following numbers in its appropriate place on the line: −5, −2, 4, 6, −1, , −0.5.  Homework Help ✎

• 6-74. Are the following expressions equivalent? Homework Help ✎
1. 3(4x − 2) + 8                       2(6x + 1)

• 6-75. Evaluate the expressions below using r = 3 and h = 5.  Homework Help ✎
1. 6h − 4
2. 8r + h
3. r2

No homework due to testing

No homework due to testing

Name_______________________

 

• 6-69. How can you check if the following two expressions are equivalent?  Are they?  Homework Help ✎
• 3(4x − 2)                    12x − 2 
• 6-70. A rectangle has an area of square centimeters and a length of 1.5 centimeters.  What is the width? What is the perimeter?  Homework Help ✎ 
• 6-71. Find the area of each trapezoid below.  Homework Help ✎
  1. 
  2. 

See attached

Name_______________________

 

• 6-58. Solve each generic rectangle puzzle.  Write your answer in the form:
  (total length)(total width) = sum of individual area parts = total area.  Homework Help ✎
  1. 
  2. 
• 6-59. In each of these problems, assume that people divide the food evenly.  Write your answer as a division problem in fraction form: .  Homework Help ✎
  1. If two people share one soda, how much of the soda should each person get? 
  2. If two people share three hamburgers, how much should each person get? 
  3. If three people share a large box of fries, what part is each person’s share? 
  4. Three people share seven brownies.  How many brownies should each person get? 
  5. Two people share five apple turnovers.  How many turnovers should each person get?  
  6. If five people share three cartons of chow mein, what is each person’s share? 
• 6-60. Complete the web shown below to represent the portion 145% as a fraction, a decimal, and with words.  Homework Help ✎

• 

No homework assigned due to testing.

Fraction Division

Name_______________________________

 

• 6-51. Name the coordinates of each point shown in the graph below using ordered pairs (x, y).  Homework Help ✎

  

• 6-52. At the school’s fall bake sale, all of the pies were cut into 6 pieces, so each person who bought a piece bought  of a pie. Each slice of pie sold for $1.00. How much money did the school make if all eleven pies were sold? (In other words, find 11 divided by .)  Homework Help ✎
• 6-53. Find the area and perimeter of a rectangle that is 14.5 meters by 5.8 meters.  Homework Help ✎

Name_______________________________

 

• 6-36. Multiply the following fractions.  Homework Help ✎
  1. 
  2. 
  3. 
  4. 
• 6-37. Graph and connect the points (1, 1), (1, 5), (4, 5) and (4, 1) in the order listed and then connect the last point you graphed to the first point.  What is the length of each side?  What is the area of the shape that is formed? 6-37 HW eTool (Desmos). Homework Help ✎
• 6-38. Draw a diagram to help calculate each of the following quotients (the answer to a divison problem).  Homework Help ✎
  1. 4 ÷ 
  2. 6 ÷ 
• 6-39. Jesse has five meters of twine and needs to cut it into lengths that are each  of a meter long.  How many lengths will he have?  Express this problem in a number sentence that uses division. Homework Help ✎

Name___________________________

 

• 6-33. Use a ruler to draw a line exactly 4 inches long and then mark every  inch.  Homework Help ✎
  1. How many  inches are in 4 inches?
  2. Now use the ruler to mark every  inch.  How many  inches are in 1 inch?  
  3. How many  inches are in 2 inches?  in 3 inches?
• 6-34. Draw a diagram that shows how to divide 9 pieces of licorice into packages that hold 5 pieces each.  Then find 9 ÷ 5.  Homework Help ✎
• 6-35. Audrey made the histogram below to show her recent bowling scores.  Homework Help ✎

  

  1. How many games did she play in total?
  2. Between what two values did most of her scores fall?
  3. Challenge: What portion of her scores fell between 130 and 140?

Name___________________________

 

 

Name__________________________

 

• 6-21. Show how to divide 9 pieces of licorice among 4 people. Homework Help ✎
• 6-22. Ashley painted  of her bathroom ceiling. Alex painted  of the ceiling in the school library.  Homework Help ✎
  1. Who painted the larger fraction of their ceiling?
  2. If the drawings at right accurately represent the relationship between the ceiling sizes, who painted more ceiling area?
  3. Explain why the answers for parts (a) and (b) should be different.
• 6-23. Together, Lucia and Ben have saved $150.  Lucia saved $2 for every $1 that Ben saved.  How much money did each person save?  Homework Help ✎

Name______________________

 

• 6-8. Find the area of each of these trapezoids.  Show all of your steps.  Homework Help ✎
  1. 
  2. 
• 6-9. Consider the generic rectangle shown at right. Homework Help ✎
  1. Copy and complete the generic rectangle. 
  2. Write as many products as you can see in the rectangle.  Find at least four.  For each one, show the factors being multiplied, as well as the product. 
• 6-10. If you had 12 pieces of licorice to share equally among 5 people, how much licorice would each person get?  Be sure to show your thinking clearly.  Homework Help ✎
• 6-11. Round each number to the specified place.  Homework Help ✎
  1. 198.59 (ten)
  2. 5462.9554 (thousandth)
  3. 724.82338 (tenth)
  4. 851.392 (one)

• 6-6. Calculate each of the following parts of parts.  Homework Help ✎
  1.  of
  2.  of
• 6-7. Simplify each numerical expression.  Homework Help ✎
  1. 
  2. 2
  3. 

Name__________________________________

• CL 5-113. 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).

        CL 5-114  Complete the portion web for each fraction below.

1.  19/25
2. 3/2
3. 3/8
4. 1/4

 

Name____________________________

 

 

• 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. 
  7. −

• Name________________________
• 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. 

Look at attachment and solve problems by following the formula:  A=b x h divided by two.

Name________________________________

 

• 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

No homework due to IAB Testing

No homework because of IAB Testing

Name_________________________

 

• 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.   
• 5-63. 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 ✎

Name___________________________

 

• 5-51. Four pieces of rope of unknown (but equal) length and 10 more feet of rope are attached together.  The resulting rope is 30 feet long.  Homework Help ✎
  1. Draw a diagram to represent this problem.
  2. How long is each of the pieces of rope that is not 10 feet?  Show how you know. 
• 5-52. Complete the portion web for each fraction below. Homework Help ✎
  1. 
  2. 
  3. 
  4. 

Name__________________

 

• 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 ✎

  $1526

                                                                                                                            x 0.1 

• 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 ✎
• 5-50. Without using a calculator, simplify the following decimal expressions.  Homework Help ✎
  1. 0.04(0.7)
  2. (1.8)(0.3)

Name___________________________________

 

• 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 ✎
• 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. 
  1. Which of these fractions are greater than or equal to 1?
     
  2. Which of these fractions are close to the number 1?
  3. Which of these fractions are close to ?
  4. 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. 

Name____________________________

 

• 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 ✎

Name___________________________

 

• 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.
• 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 300%.  Homework Help ✎
  2. Draw a similar rectangle with lengths that are of the original lengths.

Read and study Cornell Notes of Chapter 4, Lesson 3 (Theory of Plate Tectonics).  We will be taking a quiz on Wednesday, February 24.

Name____________________________

 

• 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  

 

 

Name__________________________

 

• 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. 

Read and perform activity workbook pages on Chapter 4, Lesson 3 (Plate Tectonics).  Complete numbers 1-6 of the Standards Check (Page 193 of Science Text).

Name______________________________

 

• 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. 

Name____________________________

 

• 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. 

Name_________________________

 

• 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?

Name_______________________

 

• CL 4-92. Use a coordinate grid to plot the points (−2, 3) and (4, 5). Then plot two more points so that all four points form vertices of a rectangle with a horizontal length.  Next, find the length of each side.  Write an absolute value expression to show how you calculated each length.

Name__________________________________

• CL 4-89. Copy the dot pattern below and draw Figures 0, 4, and 7. Write an expression to describe how the pattern is growing.
     

• CL 4-90. Draw a right triangle on graph paper that has a base of 4 units and a height of 2 units.  Enlarge it so that each side is 2.5 times as long as the original.

 

Name___________________________________

 

• 4-82. Use an algebraic expression to represent each sequence of lengths shown below.  Homework Help ✎
  1. 
  2. 
  3. 
• 4-83. In parts (a) through (c) below, refer to the previous problem.  You will find the length of the line segments in problem 4-82 by substituting given values for the variables.  For example, if  x  is 3 units in part (a) of problem 4-82, the line segment would be  3 + 1 + 3 = 7 units long.  Homework Help ✎
  1. Find the length of the line segment in part (a) of problem 4-82 using x = 4
  2. Find the length of the line segment in part (b) of problem 4-82 m = 4
  3. Find the length of the line segment in part (c) of problem 4-82 using y = 5.5
• 4-84. Write each fraction greater than one as a mixed number and each mixed number as a fraction greater than one.  Homework Help ✎
  1. 
  2. 
  3. 
  4. 

Name_____________________________

 

• 4-80. Richie and Bethany play basketball and practice shooting free throws after school.  During one practice session, Richie attempted 15 free throws and made 12 of them.  Homework Help ✎
  1. Write a ratio comparing the number of free throws he made to the number that he missed. 
  2. Bethany made eight free throws for every three that she missed.  Did Bethany do better than Richie?  Show how you know. 
• 4-81. This problem is a checkpoint for addition and subtraction of mixed numbers. It will be referred to as Checkpoint 4.
• Compute each sum or difference. Simplify if possible.  Homework Help ✎
  1. 
  2. 
  3. 
  4. 

Name______________________________

 

 

• 4-72. Simplify the following expressions.  Homework Help ✎
  1. 
  2. 
  3. 
• 4-73. A new shipment of nails is due any day at Hannah’s Hardware Haven, and you have been asked to help label the shelves so that the nails are organized in length from least to greatest.  She is expecting nails of the following sizes:  inch,  inch,  inch,  inch, and  inch.  Use the ruler below to help Hannah order the labels on the shelves from least to greatest.  Homework Help ✎

  

• 4-74. Cecelia wants to measure the area of her bedroom floor.  Should she use square inches or square feet?  Complete parts (a) through (c) below as you explore this question.  Homework Help ✎
  1. Write a sentence to explain which units you think Cecelia should use. 
  2. If Cecelia’s bedroom is 12 feet by 15.5 feet, what is the area of the bedroom floor?  Show how you got your answer.   
  3. Find the perimeter of Cecelia’s bedroom floor.  Show how you got your answer.  

• Name___________________________
• 4-70. On graph paper, draw any quadrilateral.  Then enlarge (or reduce) it by each of the following ratios.  Homework Help ✎
  1. 
  2. 
• 4-71. George drew the diagram at right to represent the number . “Look,” said Helena, “This is the same thing as .” What do you think?  Explore this idea in parts (a) through (c) below.  Homework Help ✎
• 1. Is Helena correct? If so, explain how she can tell that the diagram represents . If she is not correct, explain why not.
  2. Draw a diagram to represent the mixed number . How can you write this as a single fraction greater than one?
  3. How can you write as a mixed number? Be sure to include a diagram in your answer.

• Name___________________________
• 4-70. On graph paper, draw any quadrilateral.  Then enlarge (or reduce) it by each of the following ratios.  Homework Help ✎
  1. 
  2. 
• 4-71. George drew the diagram at right to represent the number . “Look,” said Helena, “This is the same thing as .” What do you think?  Explore this idea in parts (a) through (c) below.  Homework Help ✎
• 1. Is Helena correct? If so, explain how she can tell that the diagram represents . If she is not correct, explain why not.
  2. Draw a diagram to represent the mixed number . How can you write this as a single fraction greater than one?
  3. How can you write as a mixed number? Be sure to include a diagram in your answer.

Name____________________________

• 4-58. Draw two different simple geometric shapes (such as rectangles or right triangles) on graph paper.  Homework Help ✎

1. Choose one shape and enlarge it so that each side is twice as long as the original.

1. Choose the other shape and reduce it so that each side is half the length of the original.

• 4-59. Study the pattern below.  Sketch and label the fourth and fifth figures.  Then predict how many dots will be in the 100th figure.  Write an expression you can use to determine the number of dots in any figure.  Homework Help ✎

Name_____________________________

• 4-50. Copy and complete the generic rectangle below.  What multiplication problem does it represent and what is the product? Homework Help ✎

• 4-51. Use the portions representation web to rewrite each percent as a fraction, as a decimal and with words or a picture.  Homework Help ✎
1. 13%
2. 20%
3. 130%
4. 32%

• 4-47. Use graph paper to complete the steps below.  Then answer the question that follows.  Homework Help ✎
  • Draw a square that measures 5 units on each side.
  • Draw a design inside your 5 × 5 square. 
  • Then draw a square that measures 15 units on each side.
  • Enlarge your picture as accurately as possible so that it fits inside of the 15 × 15 square. 
• How much wider and how much longer is your new picture?  
• 4-48. Tina is going to put 1‑inch square tiles on the picture frame shown below.  Homework Help ✎

  

  1. If the frame is one tile wide, how many 1-inch-square tiles will she need?
  2. Would more 1-inch square tiles fit inside the frame or on the frame?  Show how you know.
• 4-49. Four friends worked together to wash all of the cars that the Kumar family owns.  They received $43.00 for doing the work and agreed to divide the earnings evenly.  How much money will each friend earn?  Show how you know.  Homework Help ✎

• 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.

Name______________________________

 

• 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. 
• 4-37. 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. 
  4. −1 ___0

Name_______________________________

• 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. 
  3. 
  4. 103.57 + 29.6

 

• 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 ✎
• 4-19. Review the Math Notes box in this lesson. Then 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. 

Name______________________

 

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. 

• Name_____________________________________
• 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

Name____________________

 

• 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? 

No homework.  Happy holidays!

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. 

• 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
• 3-131. 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. 

• 3-128. 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 ✎

  

• 3-118. 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 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?

3-110.  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?

• 3-108. 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 ✎

• Name___________________________________
• 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.

No Homework.  Happy Thanksgiving!

• -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 ✎

• 3-75. 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.  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)

• 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. 

• Name_____________________
• 3-65. Estimate the amount of gas left in this car’s gas tank with a fraction.  Homework Help ✎

   

• 3-66. Randall and Stephano work in a restaurant.  Randall earned $27.50 one day, $25.00 the next day, and $32.50 on the third day.  Stephano works fewer hours, but more days.  He earned $17.50 one day, $22.50 the next day, $12.50 the third day, $15.00 the fourth day, and $17.00 the fifth day.  Who earned the most money?  How much more?  Homework Help ✎
  
  
   

• 3-62. Add or subtract the following fractions.  Homework Help ✎
  1. 
  2. 
• 3-63. Copy the incomplete axes and fill in the missing numbers to make the scaling consistent.  Homework Help ✎
  1. 
  2. 
• 3-64. For each of the representations below, write the portion in each of the forms listed.  Remember that a hundred block now represents 100%.  Homework Help ✎
  • Percent
  • Decimal
  • Fraction
  • Description in words
  1. 
  2. 
  3. 
  4. 

Name__________________________________

• 3-50. Use the Lesson 3.1.3B Resource Page to shade in the amounts represented by the following descriptions, and then write them in the stated form. 3-50 HW eTool(CPM). Homework Help ✎
1. Shade 7 hundredths, and write the portion as a percent.
2. Shade 7 tenths, and write the portion as a fraction.
3. Shade 28%, and write the portion as a fraction.
4. Shade 31.5%, and write the portion as a decimal.
• 3-51. Given the numbers 18% and 0.7, explain which number is larger by using words and/or pictures.  Homework Help ✎

• 3-52. Explain what 78.5% would look like on a 100%-block.  Then write it as a decimal.   Homework Help ✎

Name_____________________________________

• 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 ✎

• 3 tenths and 6 hundredths

• 8 hundredths

• 17 hundredths

• 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 ✎

• 50% full

• full

• full

Portions a s Percent #2

• 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 ✎

• 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

Name_____________________

 

• 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 ✎
• 

• 3-17.Use the Distributive Property to rewrite each of the expressions below.  Then simplify.  Homework Help ✎
1. 12(309)
2. 8(100 + 10 + 8)

• 3-18. 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.

Multiplicative Identity

• 3-12. Copy and complete each of the following Giant One problems. Homework Help ✎

• 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 kn
• ow.  Remember that 1 yard = 3 feet.  Homework Help ✎

Distributive Property #2

• 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 ✎
• 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 ✎
• 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

Distributive Property

• 2-86. Look at the generic rectangle at top 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

• 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?

Name__________________________________

• 2-75. Solve each generic-rectangle puzzle.  For each part, write a multiplication sentence, as you did in problem 2-72. Homework Help ✎
• 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?  
• 2-77. 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

Generic Rectangles

• 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 3’s and count by 4’s).  Extend the table so that it has 14 columns of values.  Homework Help ✎

  Three	3	6	9	12
  Four	4	8	12

  1. Write down all the numbers that appear in both rows.  Describe any pattern(s) that you notice. 
  2. What is the smallest multiple of both 3 and 4? 
  3. Write three more numbers that are multiples of both 3 and 4. 

 

Intro to Generic Rectangles

 

Name_________________________

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 above 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

• Generic Rectangles
• 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 ✎
• 2-57. Use your understanding of equivalent fractions to write two fractions that are equivalent to each of the following fractions.  Homework Help ✎

• Area and Perimeter # 2
• 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?  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.  

•  Area and Perimeter
• 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 perimetersof 20 units.  Do the rectangles have the same area?  Explain your thinking. 2-47 HW eTool (CPM). Homework Help ✎
• 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

• Finfing the area:
• 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 ✎
• 2-36. 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. 

Find the area:

 

• 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 ✎

• Data Representation
• 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 ✎

• 2-15. 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?

2-6. 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.  

Appliances sold at Housemart during the month of September:

Washers: 35           Dryers: 21              Ovens: 19

Refrigerators: 27                           Dishwashers: 23

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.)

No homework due to testing

 

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

What Patterns can I find?

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

 

Find the missing number for the letter n

 

1. 15n = 225
2. 84/12=n
3. 11n = 143
4. 182/n = 13

Characteristics of Numbers

 

1-72. Use your knowledge of place value and decimals 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.

 

Characteristics of Numbers #2

• 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)
• 1-71. 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 ✎

 

 

Area and Perimeter Review  CL 1-99

 

Characteristics of Numbers

 

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

 

 

 

Representing Comparisons

 

Representing Comparisons

 

Multiple Representations

 

Multiple Representations

 

 

No homework due to continued group quiz taking and back to school night.

No homework due to group quiz taking

Making sense of a logic problem    http://homework.cpm.org/cpm-homework/homework/category/CC/textbook/CC1/chapter/Ch1/lesson/1.1.5/problem/1-36

Representing data

 

 

1. Get a set of tiles from your teacher or use the Area Tiles and Toothpicks (CPM) and work with your team to:
   • Make a pattern so that there are four more toothpicks than tiles.
   • Draw your tile pattern on your paper
   • Label the number of toothpicks and tiles on your drawing.

   Is there more than one answer?

 page 2

Your Math History  http://pdfs.cpm.org/stuRes/CC1/chapter_01/CC1%20Lesson%201.1.1B%20RP.pdf

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.