Aligning Mathematics Grade 6
Holt McDougal
with the
Common Core Standards
Submitted by:
Graceann McClenahan,
Laurie DiMaina,
Gloria Panella &
Michelle Stein
Chapter 1-2: Dividing Multi-digit Whole Numbers
CC.6.NS.2
Fluently divide multi-digit whole numbers using the standard algorithm
The sixth grade classes are going on a field trip. There are a total of 157 students attending. The teachers are required to provide a name tag for each of the students. The chart below shows possible name tag options.
Type of Name Tag / # of Name Tags per Package / Cost per packageSquare / 8 / $5.75
Circular / 12 / $7.25
Part A: How many packages of square name tags would be necessary for the teachers to purchase so that each student would receive a name tag? How many packages of circular name tags?
Show work below.
# of Square Packages: ______# of Circular Packages: ______
Part B: How much money will it cost the teachers to purchase the square name tags? The circular name tags?
Show work below.
Cost of Square Name Tags: ______Cost of Circular Name Tags: ______
Part C: On the lines below explain which would be a better deal for the teachers to buy. Be sure to back up your answer with details from Parts A and B.
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Lesson 1-3
CC.6.EE.2
Write, read & evaluate expressions in which letters stand for numbers.
Part A: Emma spent the summer saving for a new iphone. To help Emma with some of the cost, her parents started her off with $50. Emma decided to sell bracelets for $3.50 each to help her save for the total cost for the iphone.
On the line below, write an expression that can be used to determine the total amount Emma earns after selling a certain number of bracelets. Let B represent the number of bracelets Emma sells.
Answer: ______
Part B:
Emma did an amazing job selling bracelets! Using the expression from part A, calculate the amount of money Emma saved after selling a total of 25 bracelets.
Show all work.
Part C:
On the lines below, explain how you determined the expression written in part A.
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Lesson 1-4: Order of Operations
CC.6.EE.2C
Evaluate expressions at specific values of their variables
Meghan evaluated the expression for 3x + 4 for x = 6 as shown below:
3x + 4
36 + 4 = 40
On the lines below, explain what Meghan did wrong. Be sure to include the correct answer to this expression.
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Lesson 1-5: Properties and Mental Math
CC.6.EE.3
Apply the properties of operations to generate equivalent expressions
Two students were working on the problem below. The goal was to find an equivalent expression using the distributive property. One of them is correct and one of them is incorrect. Study each solution to determine who was correct and who was incorrect.
John’s Solution7 x 63 = (7 x 60) + (7 x 3) / Kaitie’s Solution
7 x 63 = (7 x 60) (7 x 3)
Part A: On the lines below, explain if John or Katie has the correct solution. Be sure to include what you know about the distributive property to back up your answer.
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Part B: Finish using the Associative Property.
6 + (3 + 10) = ______
Chapter 3 Decimals
CC 6.EE.7 Solve real-world and mathematical problems by writing and solving equations in the form x +p = q and px = q for cases in which p, q, and x are all nonnegative rational numbers.
Part A: A kitten weighed 2.7 ounces at birth. After one month, the kitten weighed 7.32 ounces. How much weight did the kitten gain?
Answer: ______
Part B:
Yesterday, the kitten lost her way and wandered 3 miles per hour for a total of 6.75 miles. How many hours did she wander before she was found?
Show all work.
Part C:
On the lines below, explain how you determined your answer written in Part B.
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Chapter 3.3 Adding and Subtracting Decimals
CC 6.NS.3 Fluently add, subtract, multiply and divide multi-digit decimals using the standard algorithms for each operation
Part A: Samantha needs to find a box to hold all of her video games. She has two video games. One game is 8.5 inches long, 5.36 inches wide and 3.1 inches high. The other game is 8.42 inches long, 5.3 inches wide and 3.46 inches high. If she stacks the games one on top of the other, what is the sum of the heights?
Answer: ______
Part B:
Samantha’s box is 7.25 inches high. What is the difference between the height of the box and the height of the two video games?
Show all work.
Part C:
On the lines below, explain how you determined your answer written in Part B.
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Chapter 3.3 Adding and Subtracting Decimals
CC 6.NS.3 Fluently add, subtract, multiply and divide multi-digit decimals using the standard algorithms for each operation
Use the following table to answer the questions in Part A, Part B and Part C.
Olympic Gymnastic Scores
Gymnast / Beam / Bar / Floor / Vault / All-AroundNadia / 8.73 / 9.2 / 7.36 / 8.0
Kerri / 9.5 / 9.4 / 9.0 / 9.175
Natasha / 8.92 / 8.7 / 8.369 / 8.4
Olga / 7.77 / 9.3 / 9.2 / 8.6
Part A: The All- Around is a gymnast’s total score based on all four events (beam, bar, floor and vault). What was Nadia’s score in the All- Around?
Answer: ______
Part B: How much higher was Kerri’s score in the floor exercise than Natasha’s score in the floor exercise?
Show all work.
Part C:
On the lines below, explain how you determined your answer written in Part B.
______
Chapter 3.4 Multiplying Decimals
CC 6.NS.3 Fluently add, subtract, multiply and divide multi-digit decimals using the standard algorithms for each operation
Part A: Matthew’s mom went to the supermarket for groceries. She bought 4.2 pounds of apples that cost $2.99 per pound. How much did she spend on apples? Round your answer to the nearest cent.
Answer: ______
Part B:
Matthew’s mom also bought 2. 6 pounds of bananas for 90 cents per pound. How much change did she get back after paying for the apples and bananas if she gave the clerk a $20 bill?
Show all work.
Part C:
On the lines below, explain how you determined your answer written in Part B.
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Chapter 3.5 Dividing Decimals by Whole Numbers
CC 6.NS.3 Fluently add, subtract, multiply and divide multi-digit decimals using the standard algorithms for each operation
Part A: The Olympic track for track and field events is 10.38 meters wide. It is divided into five lanes of equal widths. How wide is each lane?
Answer: ______
Part B:
In order to qualify for the Olympic events, runners must run eight laps in 6.5 minutes. How many minutes do they need to run each lap in?
Show all work.
Part C:
On the lines below, explain how you determined your answer written in Part B.
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Chapter 3.5 Dividing Decimals by Decimals
CC 6.NS.3 Fluently add, subtract, multiply and divide multi-digit decimals using the standard algorithms for each operation
Part A: Franki is planning her birthday party. She wants to give each of her guests a party favor that includes a bag of candy. She buys a 3.48 pound bag of candy. She wants to put .25 pounds of candy in each bag. How many bags can she fill?
Answer: ______
Part B:
Franki wants to invite 14 children to her party. Will she have enough candy to fill fourteen goody bags? If not, how much more candy does she need to buy?
Show all work.
Part C:
On the lines below, explain how you determined your answer written in Part B.
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Chapter 5.1 Least Common Multiple
CC 6.NS.4 Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor.
Part A: Amy goes to McDonalds with her mom once every six days. Beth goes to McDonalds with her dad once every four days. They saw each other there today. In how many days will they see each other there again?
Answer: ______
Part B:
Josh wants to go to McDonalds too. His babysitter can take him in sixty days. Will he see Amy and Beth there?
Show all work.
Part C:
On the lines below, explain how you determined your answer written in Part B.
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Chapter 5 Fraction Operations
CC 6. EE7 Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all nonnegative rational numbers.
Part A: Beth went to the supermarket and ordered 3 ½ lbs of cherries, 2 ¼ lbs of strawberries and 4 3/5 lbs of blueberries. How many pounds of fruit did she buy in all?
Answer: ______
Part B:
Beth needs the fruit to bake a pie. She needs 10 lbs of mixed fruit for her recipe? Will she have enough fruit? How much fruit will be left over?
Show all work.
Part C:
On the lines below, explain how you determined your answer written in Part B.
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Chapter 5.6 Dividing Factions and Mixed Numbers
CC 6.NS.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem
Part A: Michael wants to plant a vegetable garden in his back yard. He has a piece of land that he can use that is 6 ½ feet wide by 5 5/12 feet long. What is the area of the land he can use to plant?
Area = length x width
Answer: ______
Part B:
Michael has another rectangular plot of land that he can use to plant herbs. The area of this rectangular plot of land is 7 ¾ feet squared. The length of this plot is 2 ½ feet. What is the width?
Show all work.
Part C:
On the lines below, explain how you determined your answer written in Part B.
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Chapter 5 Fraction Operations
CC 6. EE7 Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all nonnegative rational numbers.
Part A: Jesse is having his friends over for dinner. He wants to make each friend a ¼ lb turkey burger. He bought 4 ½ lbs of chopped turkey meat. How many burgers can he make?
Answer: ______
Part B:
Jesse wants to give his friends bags filled with chocolate candies for dessert. He bought a 3 ¾ bag of chocolate. If he puts 1/8 lb of chocolate in each bag, how many bags can he fill?
Show all work.
Part C:
On the lines below, explain how you determined your answer written in Part B.
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Chapter 8 Measurement and Geometry
CC.6.RP.3d Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
Part A: Since it was such a hot day, the children in Marlee’s camp group drank eight quarts of water. How many pints of water did they drink?
Answer: ______
Part B:
After lunch, Marlee’s group ate 32 cups of ice cream. How many gallons of ice cream did they consume?
Show all work.
Part C:
On the lines below, explain how you determined your answer written in Part B.
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Chapter 8 Measurement and Geometry
CC.6.RP.3d Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
Part A: Olympic triathlon hopefuls need to bike 67.5 meters in under one hour. How many kilometers do they need to complete?
Answer: ______
Part B:
Olympic triathlon hopefuls also need to swim 34. 7 meters in under four minutes. How many centimeters do they need to swim?
Show all work.
Part C:
On the lines below, explain how you determined your answer written in Part B.
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Chapter 8-3 Area of Rectangles and Parallelograms
CC.6.G.1Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles or other shapes; apply these techniques in the context of solving real-world and mathematical problems.
CC.6.EE.2c Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations using Order of Operations.
Part A: Emily wants to create a dog run for her new puppy in the shape of a rectangle. The length of the dog run is 12 feet and the width is 8 feet. What is the area of the dug run?
Answer: ______
Part B:
Emily takes her new puppy to the park to train her. When there, dogs must be contained in a parallelogram shaped space that is ½ of an acre long by ¼ of an acre high. What is the area of the dog park?
Show all work.
Part C:
On the lines below, explain how you determined your answer written in Part B.
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Chapter 8-4 Area of Triangles and Trapezoids
CC.6.G.1Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles or other shapes; apply these techniques in the context of solving real-world and mathematical problems.
CC.6.EE.2c Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations using Order of Operations.
Part A: Emily wants to create a dog run for her new puppy in the shape of a triangle that is five meters long and four meters tall. What is the area of the dug run?
Answer: ______
Part B:
Emily takes her new puppy to the park to train her. When there, dogs must be contained in a trapezoid shaped space that nine meters long by four meters long and four meters high. What is the area of the dog park?
Show all work.
Part C:
On the lines below, explain how you determined your answer written in Part B.
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Chapter 8-5 Area of Composite Figures
CC.6.G.1Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles or other shapes; apply these techniques in the context of solving real-world and mathematical problems.
CC.6.EE.2c Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations using Order of Operations.
Part A: Emily wants to create a dog run for her new puppy in the shape of a polygon. Find the area of the dog run. Show all work.
Answer: ______
Part B: On the lines below, explain how you determined your answer.
______
Chapter 8-6 Volume of Prisms
CC.6.G.2Apply the formulas V=lwh and V=bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real world and mathematical problems.
CC.6.EE.2c Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations using Order of Operations.
Part A: Emily wants to create a fenced in dog run for her new puppy in the shape of a rectangle that is twenty meters long, twelve meters wide and eight meters tall. What is the volume of the dug run?
Show all work.
Answer: ______
Part B:
On the lines below, explain how you determined your answer.
______
Chapter 8-7 Surface Area
CC.6.G.4Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
CC.6.EE.2c Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations using Order of Operations.
Part A: Emily wants to create a fenced in dog run for her new puppy in the shape of a rectangular prism that is twenty meters long, twelve meters wide and eight meters tall. What is the surface area of the dug run?
Show all work.
Answer: ______
Part B:
On the lines below, explain how you determined your answer.
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