my homework lesson 7 addition properties

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McGraw Hill My Math Grade 5 Chapter 5 Lesson 7 Answer Key Addition Properties

All the solutions provided in  McGraw Hill My Math Grade 5 Answer Key PDF Chapter 5 Lesson 7 Addition Properties will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 5 Answer Key Chapter 5 Lesson 7 Addition Properties

You can use properties of addition to find sums of whole numbers and decimals mentally. When there are no parentheses, add in order from left to right.

Math in My World

You can easily add 5 and 15. So, change the order and group those numbers together.

The Commutative Property of Addition states that the order in which numbers are added does not change the sum.

The Associative Property of Addition states that the way in which numbers are grouped does not change the sum. 5 + 27 + 15 = __________ + 5 + 15 Commutative Property = 27 + (___________ + ___________) Associative Property = 27 + ____________ Add mentally. 5 + 15 = ____________ = __________ Add mentally. 20 + 27 = _____________ So, Elijah watched a total of ____________ movies. Answer: Elijah watched a total of 47 movies.

Explanation: The Associative Property of Addition states that the way in which numbers are grouped does not change the sum. 5 + 27 + 15 = 27 + 5 + 15 Commutative Property = 27 + (5 + 15) Associative Property = 27 + 20 Add mentally. 5 + 15 = 20 =  Add mentally. 20 + 27 = 47 So, Elijah watched a total of 47 movies.

Use properties to find 1.8 + 2.6 + 0 mentally. 1.8 + 2.6 + 0 = (____________ + 0.8) + (____________ + 0.6) + 0 = 1 + ____________ + 0.8 + ____________ + 0    Commutative Property = (1 + ____________) + (0.8 + ____________) + 0   Associative Property = ____________ + ____________ + 0    Add. = ____________ + 0    Identity Property = ____________    Add. Answer: 4.4

Explanation: Use properties to find 1.8 + 2.6 + 0 mentally. 1.8 + 2.6 + 0 = (1 + 0.8) + (2 + 0.6) + 0 = 1 + 2 + 0.8 + 0.6 + 0    Commutative Property = (1 + 2) + (0.8 + 0.6) + 0   Associative Property = 3 + 1.4 + 0    Add. = 4.4 + 0    Identity Property = 4.4  Add. Hence the answer is 4.4.

Guided Practice

Question 1. Use properties of addition to find each sum mentally. Show your steps and identify the properties that you used. 9 + 27 + 1 = ____________ + 9 + 1    Commutative Property = 27 + (____________ + ____________)   Associative Property = 27 + ____________   Add. = ____________   Add. Answer: 37

Explanation: Given, 9 + 27 + 1 = ____________ + 9 + 1    Commutative Property 9 + 27 + 1 = 27 + 9 + 1    Commutative Property = 27 + (9 + 1)   Associative Property = 27 + 10   Add. = 37  Add. Hence the answer is 37.

Explanation: Given, 3.1 + 0.8 + 0.9 We have to find the given question is less than, greater than, or equal to 5. First, add the given numbers 3.1 + 0.8 + 0.9 = 4.8 Therefore the number 4.8 is less than 5. 4.8 < 5.

Independent Practice

Identify the properties that are used to find each sum.

Question 2. 69 + 22 = (60 + 9) + (20 + 2) = 60 + 20 + 9 + 2    _________________ = (60 + 20) + (9 + 2)    _________________ = 80 + 11    Add. = 91     Add. Answer: Commutative Property and Associative Property are used to find the sum.

Explanation: 69 + 22 = (60 + 9) + (20 + 2) = 60 + 20 + 9 + 2 Commutative Property = (60 + 20) + (9 + 2)  Associative Property = 80 + 11    Add. = 91  Add.

Question 3. 1 1 + 7.7 + 4.3 + 0 = 11 + (7.7 + 4.3) + 0    _________________ = 11 +12 + 0    Add. = 23 + 0    _________________ = 23    Add. Answer: Commutative Property and Identity Property are used to find the sum.

Explanation: 1 1 + 7.7 + 4.3 + 0 = 11 + (7.7 + 4.3) + 0  Commutative Property = 11 +12 + 0    Add. = 23 + 0  Identity Property. = 23    Add.

Question 4. 37 + 26 + 53 = 26 + 37 + 53    _________________ = 26 + (37 + 53)    _________________ = 26 + 90    Add. = 116    Add. Answer: Commutative Property and Associative Property.

Explanation: 37 + 26 + 53 = 26 + 37 + 53 Commutative Property = 26 + (37 + 53) Associative Property. = 26 + 90  Add. = 116  Add.

Question 5. Use properties of addition to find the sum mentally. Show your steps and identify the properties that you used. 10.9 + 3 + 0.1 = _________________ Answer: 14

Explanation: 10.9 + 3 + 0.1 10 + 0.9 + 3 + 0.1 Commutative Property (10 + 3) + (0.9 + 0.1) Associative Property. 13 + 1 Add 14 is the sum.

Problem Solving

Question 6. Mathematical PRACTICE Use Number Sense Casey spent $2.50 on a snack, $1.24 on gum, $3.76 on a comic book, and $5.50 on lunch. Use mental math to find the total amount that he spent. Answer: $13.00

Explanation: Given, Casey spent on a snack $2.50. Gum = $1.24 comic book = $3.76 Lunch = $5.50 Total = $2.50 + $1.24 + $3.76 + $5.50 = $13.00

Question 7. In one week, a classroom collected 43, 58, 62, 57, and 42 cans. Find the total number of cans the classroom collected using mental math. Explain how you found the sum. Answer: The sum is 262.

Explanation: Given, No of cans a classroom collected = 43, 58, 62, 57, and 42 Total number of cans the classroom collected = 43 + 58 + 62 + 57 + 42 = 262

Explanation: Given, The cost of a cheerleading uniform $65, $18 and $35. Total cost = $65 + $18 + $35 Let us use the properties of addition to find the sum. $65 + $18 + $35 60 + 5 +  10 + 8 + 30 + 5 is Commutative Property (60 + 10 + 30) + (5 + 8 + 5) is Associative Property 100 + 18 Add 118 is the sum.

HOT Problems

Question 9. Mathematical PRACTICE Model Math Write a real-world problem that can be solved using the Associative Property of Addition. Solve the problem. Explain how you found the sum. Answer: Let us understand the real-world problem with an example: Suppose we go to the supermarket and sandwich for 15 dollars, Biscuits for 10 dollars, and milk for 15 dollars. When we add the total in the head, we can add the price of the sandwich and the Biscuits first and add the result to the price of the milk. 15 + 10 + 15 = 40

Question 10. Building on the Essential Question How can properties help me add whole numbers and decimals? Answer: We can use the properties of addition to add integers, fractions, or decimals. For example, the commutative property of addition helps us to understand that changing the order of the addends doesn’t change the total sum.

McGraw Hill My Math Grade 5 Chapter 5 Lesson 7 My Homework Answer Key

Use properties of addition to find each sum mentally. Show your steps and identify the properties that you used.

Question 1. 9 + 6 + 31 = _______________ Answer: 46

Explanation: Given, 9 + 6 + 31 6 + 9 + 31 is Commutative Property 6 + (9 + 31) is Associative Property 6 + 40  Add 46 Add

Question 2. 12.5 + 0 + 1 + 43.5 = _______________ Answer: 57

Explanation: Given, 12.5 + 0 + 1 + 43.5 1 + 12.5 + 43.5 + 0 Commutative Property 1 + (12.5 + 43.5) + 0 Associative Property 1 + 56 + 0 Identity Property 57 Add

Explanation: Given, Sasha spent $1.05 on a soda. sandwich $5.25. piece of fruit $0.75 magazine $4.95. Total money spent = $1.05 + $5.25 + $0.75 + $495 = $12

Question 4. Jessie went to the mall and bought a CD for $12.98, a skirt for $17.50, a T-shirt for $8.50, and a bottle of water for $1.02. Use mental math to find the total amount she spent. Answer: $40

Explanation: Given, CD bought = $12.98 Skirt = $17.50 T-shirt = $8.50 Bottle of water = $1.02 Total amount she spent = $12.98 + $17.50 + $8.50 + $1.02 = $40

Question 5. Gary played soccer for 1 hour and tennis for 2 hours. Tanya played tennis for 2 hours and soccer for 1 hour. Who played sports longer? Explain. Answer: Both played for the same amount of time.

Explanation: By using commutative property the order in which numbers are added does not change the actual sum.

Question 6. Mathematical PRACTICE Use Math Tools Without calculating, would 0.4 + (2 + 0.6) be less than, greater than, or equal to 3? Explain. Answer: The sum is equal to 3.

Explanation: Given, 0.4 + (2 + 0.6) 0.4 + 0.6 + 2 1 + 2 = 3 hence the sum is equal to 3.

Test Practice

Question 7. Paula was reading a novel. She read 13 pages on Sunday, 12 pages on Tuesday, 17 pages on Friday, and 8 pages on Saturday. Use mental math to find the total number of pages she read. (A) 40 pages (B) 42 pages (C) 50 pages (D) 60 pages Answer: 50 pages.

Explanation: Given, No of pages Paula read on Sunday = 13 pages No of pages Paula read on Tuesday = 12 pages No of pages Paula read on Friday = 17 pages No of pages Paula read on Saturday = 8 pages Total number of pages she read = 13 + 12 + 17 + 8 = 50 pages.

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Properties: Strategies to Add and Subtract

Our Properties: Strategies to Add and Subtract lesson plan teaches students about the commutative and associative properties as they relate to addition and subtraction of whole numbers. Students practice solving problems using these concepts in order to solidify their understanding of the concepts presented in this lesson.

Included with this lesson are some adjustments or additions that you can make if you’d like, found in the “Options for Lesson” section of the Classroom Procedure page. One of the optional additions to this lesson is to have students create non-mathematical examples of the commutative and associative properties with a partner and share them with the class.

Description

Additional information, what our properties: strategies to add and subtract lesson plan includes.

Lesson Objectives and Overview: Properties: Strategies to Add and Subtract introduces students to the commutative and associative properties as they relate to addition and subtraction of whole numbers. This lesson is for students in 1st grade and 2nd grade.

Classroom Procedure

Every lesson plan provides you with a classroom procedure page that outlines a step-by-step guide to follow. You do not have to follow the guide exactly. The guide helps you organize the lesson and details when to hand out worksheets. It also lists information in the blue box that you might find useful. You will find the lesson objectives, state standards, and number of class sessions the lesson should take to complete in this area. In addition, it describes the supplies you will need as well as what and how you need to prepare beforehand. The only supplies you will need for this lesson are number cubes. To prepare for this lesson ahead of time, you can gather the cubes and copy the handouts.

Options for Lesson

Included with this lesson is an “Options for Lesson” section that lists a number of suggestions for activities to add to the lesson or substitutions for the ones already in the lesson. One suggestion is to have students use a marker or highlighter to make groups of ten on their paper. You could also have students model addition statements using small objects to visualize the groups of ten. If you want to help students solidify their understanding of the lesson concepts, you can have them create non-mathematical examples of the commutative and associative properties with a partner and share them with the class.

Teacher Notes

The teacher notes page includes lines that you can use to add your own notes as you’re preparing for this lesson.

PROPERTIES: STRATEGIES TO ADD AND SUBTRACT LESSON PLAN CONTENT PAGES

The Properties: Strategies to Add and Subtract lesson plan includes two pages of content. The lesson begins by explaining that, when you add two numbers, the order that you add them in does not change the sum (the answer to an addition problem). For example, 2 + 4 and 4 + 2 both have a sum of 6. 1 + 2 and 2 +1 both have a sum of 3. Changing the order of the addends doesn’t change the answer.

Associate Property of Addition

the lesson then goes over a few more examples. One of these states that you buy three items from the grocery store, one that is $1, another that is $4, and a final one that is $3. In order to find out how much you owe in total, you can add the cost of each together in any order. (1 + 4) + 3 is the same as 1 + (4 + 3). We call this the associative property.

The lesson closes by showing that we can use this property to make groups of 10, making addition easier. For example, for the problem 4 + 2 + 6, we can first add 4 + 6 to get 10, and then add 2 to get a final sum of 12. The lesson includes several other examples to illustrate this.

PROPERTIES: STRATEGIES TO ADD AND SUBTRACT LESSON PLAN WORKSHEETS

The Properties: Strategies to Add and Subtract lesson plan includes four worksheets: an activity worksheet, a practice worksheet, a homework assignment, and a quiz. You can refer to the guide on the classroom procedure page to determine when to hand out each worksheet.

ROLL AND ADD ACTIVITY WORKSHEET

The activity worksheet asks students to solve addition problems using two methods: roll and add and the commutative property. To find the numbers that they will add, the students will roll the number cube. They will write the rolled numbers on the “roll and add” side of the worksheet, add, and then write the equation using the commutative property.

FILL IN THE BLANKS PRACTICE WORKSHEET

For the practice worksheet, students will complete two short exercises. For the first, they will fill in the blanks (the sums) for different addition expressions. And for the second, they will look at addition problems, make a 10 by circling two numbers that make 10, and then find the total sum.

PROPERTIES: STRATEGIES TO ADD AND SUBTRACT HOMEWORK ASSIGNMENT

The homework assignment asks students to first rewrite the addition sentences using the commutative property, showing their work. Next, they will make a ten and then find the sum for various expressions. Finally, they will answer a special challenge addition problem, where they must add six different numbers together! They will also explain how they solved that problem.

This lesson also includes a quiz that you can use to test students’ understanding of the lesson material. For the quiz, students will match the expressions with the same sums.

Worksheet Answer Keys

This lesson plan includes answer keys for the practice worksheet, the homework assignment, and the quiz. If you choose to administer the lesson pages to your students via PDF, you will need to save a new file that omits these pages. Otherwise, you can simply print out the applicable pages and keep these as reference for yourself when grading assignments.

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Lesson Plan

Properties - addition property - matching, third (3) - math.

LEARNING TARGET

• Students will understand the concepts of the associative, commutative, and identity properties of addition.
• Students will be able to identify and apply the appropriate property to match a given sample problem.

LEARNING PROGRESSION

Prerequisite skill.

EXTENSION SKILL

• Whiteboard or chart paper
• Index cards or slips of paper
• Worksheet (one per student)
• Associative property
• Commutative property
• Identity property

TEACHING RESOURCES

Centers & task cards.

No Centers or Task Cards Available

IEP GOAL WORKBOOKS

No Goals Available

WORKSHEET PACKS

No Worksheet Packs Available

5 AND 1 INTERVENTIONS

No Interventions Available

No Games Available

No Activities Available

LESSON INSTRUCTION

Introduction.

• Begin the lesson by writing the terms "Associative Property," "Commutative Property," and "Identity Property" on the board.
• Engage students in a brief discussion about why understanding these properties is important in mathematics. Highlight how they can help simplify calculations and solve problems more efficiently.

INSTRUCTION

Explain the Associative Property:

• Write an addition problem on the board, such as (2 + 3) + 4.
• Explain that the associative property allows us to group the numbers differently and still get the same sum.
• Demonstrate this by regrouping the numbers as 2 + (3 + 4) and showing that the sum remains unchanged.

Explain the Commutative Property:

• Write an addition problem on the board, such as 5 + 7.
• Explain that the commutative property allows us to change the order of the numbers without changing the sum.
• Demonstrate this by rewriting the problem as 7 + 5 and showing that the sum remains the same.

Explain the Identity Property:

• Write an addition problem on the board, such as 9 + 0.
• Explain that the identity property states that adding zero to any number does not change the value of that number.
• Show that adding 0 to 9 still results in 9.

GUIDED PRACTICE

• Divide the class into small groups or pairs.
• Distribute index cards or slips of paper with sample addition problems written on them.
• Instruct students to match each sample problem to the appropriate property: associative, commutative, or identity.
• Monitor the groups, providing guidance and clarification as needed.

INDEPENDENT PRACTICE

• Distribute a worksheet to each student.
• Instruct students to solve the addition problems and identify the property used for each problem.
• Encourage students to explain their reasoning in writing.
• Circulate the classroom to provide support and monitor individual progress.
• Assign a few additional problems for students to solve at home.
• Instruct students to identify the property used for each problem and explain their reasoning.

EXIT TICKET

• Provide each student with an exit card.
• Write a sample addition problem on the board and ask students to identify the property used for that problem.
• Collect the exit cards for review.
• Evaluate students' worksheets, homework, and exit cards to assess their understanding of the properties of addition.
• Provide feedback to students, highlighting areas of strength and areas that need improvement.
• Recap the lesson by reviewing the concepts of associative, commutative, and identity properties of addition.
• Ask students to share examples of how they might apply these properties in real-life situations.
• Provide advanced students with more complex addition problems and challenge them to apply the properties correctly.
• Introduce the concept of the distributive property as an extension for students who grasp the other properties quickly.

INTERVENTION

• Offer additional support and examples to students who are struggling to grasp the properties of addition.
• Provide extra practice opportunities or alternative explanations to reinforce their understanding.

No Video Available

TEACHING TIPS

• Use visual aids: Incorporate visuals, such as diagrams or manipulatives, to help students visualize the properties of addition and understand their application.
• Provide real-life examples: Connect the properties of addition to real-life situations to make the concept more relatable and meaningful for students.
• Encourage peer collaboration: Foster a collaborative learning environment where students can discuss and explain their reasoning to one another, promoting a deeper understanding of the properties.

STUDENT MISCONCEPTIONS

• Confusing the properties: Students may mistakenly interchange the definitions and applications of the associative, commutative, and identity properties. Reinforce each property with clear examples to avoid confusion.
• Misidentifying properties: Students might struggle to correctly identify which property applies to a given problem. Encourage them to carefully analyze the problem and consider the properties before making a determination.
• Oversimplifying or overgeneralizing: Students may incorrectly assume that all addition problems exhibit the same property, or that a particular property applies universally to all operations. Emphasize the specific conditions and limitations of each property to avoid overgeneralization.

Common Core Standard:

3.NBT.A.2 - Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.

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McGraw-Hill My Math Grade 4 Volume 1

Textbook: mcgraw-hill my math grade 4 volume 1 isbn: 9780021150236.

Use the table below to find videos, mobile apps, worksheets and lessons that supplement McGraw-Hill My Math Grade 4 Volume 1 book.

Chapter 1: Place Value

Lesson 1: place value, lesson 2: read and write multi-digit numbers, lesson 3: compare numbers, lesson 4: order numbers, lesson 5: use place value to round, chapter 2: add and subtract whole numbers, lesson 1: addition properties and subtraction rules, lesson 2: addition and subtraction patterns, lesson 3: add and subtract mentally, lesson 4: estimate sums and difference, lesson 5: add whole numbers, lesson 6: subtract whole numbers, lesson 7: subtract across zeros, lesson 8: solve multi-step word problems, chapter 3: understand multiplication and division, lesson 1: relate multiplication and division, lesson 2: relate division and subtraction, lesson 3: multiplication as comparison, lesson 4: compare to solve problems, lesson 5: multiplication properties and division rules, lesson 6: the associative property of multiplication, lesson 7: factors and multiples, chapter 4: multiply with one-digit numbers, lesson 1: multiples of 10, 100, and 1,000, lesson 2: round to estimate products, lesson 3: hands on: use place value to multiply, lesson 4: hands on: use models to multiply, lesson 5: multiply by a two-digit number, lesson 6: hands on: model regrouping, lesson 7: the distributive property, lesson 8: multiply with regrouping, lesson 9: multiply by a multi-digit number, lesson 10: multiply across zeros, chapter 5: multiply with two-digit numbers, lesson 1: multiply by tens, lesson 2: estimate products, lesson 3: hands on: use the distributive property to multiply, lesson 4: multiply by a two-digit number, lesson 5: solve multi-step word problems, chapter 6: divide by a one-digit number, lesson 1: divide multiples of 10, 100, and 1,000, lesson 2: estimate quotients, lesson 3: hands on: use place value to divide, lesson 4: divide with remainders, lesson 5: interpret remainders, lesson 6: place the first digit, lesson 7: hands on: distributive property and partial quotients, lesson 8: divide greater numbers, lesson 9: quotients with zeros, lesson 10: solve multi-step word problems, chapter 7: patterns and sequences, lesson 1: nonnumeric patterns, lesson 2: numeric patterns, lesson 3: sequences, lesson 4: addition and subtraction rules, lesson 5: multiplication and division rules, lesson 6: order of operations, lesson 7: hands on: equations with two operations, lesson 8: equations with multiple operations.

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