# Math Expressions: Homework and Remembering Workbook for Grade 5

# Math Homework and Remembering Grade 5 Math homework and remembering grade 5 is a workbook that helps students practice and review the math skills they learned in class. It is based on the Houghton Mifflin Harcourt Math Expressions curriculum, which aligns with the Common Core State Standards for mathematics. The workbook consists of two volumes, each with 10 units that cover topics such as place value, operations, fractions, decimals, measurement, geometry, algebra, data, and problem solving. Each unit has a homework page and a remembering page for each lesson, as well as a unit review and a unit test. The homework pages provide students with practice problems that reinforce the concepts and skills taught in the lesson. The remembering pages help students recall and apply previous learning to new situations. The unit review and test help students assess their understanding and prepare for assessments. ## How to Use Math Homework and Remembering Grade 5 Math homework and remembering grade 5 is designed to complement the classroom instruction and provide students with additional practice and review. Students should complete the homework page for each lesson after they have learned the lesson in class. They should also complete the remembering page for each lesson before they start the next lesson. The remembering page will help them activate their prior knowledge and connect it to the new learning. Students should use the unit review and test to check their progress and identify their strengths and weaknesses. They should also use the answer key at the end of each volume to check their work and correct any errors. ## Benefits of Math Homework and Remembering Grade 5 Math homework and remembering grade 5 has many benefits for students who want to improve their math skills and confidence. Some of the benefits are: - It provides students with extra practice and reinforcement of the math concepts and skills they learned in class. - It helps students develop fluency and accuracy in performing math operations and solving problems. - It helps students review and remember previous learning and apply it to new situations. - It helps students prepare for assessments and monitor their own learning. - It helps students develop good study habits and a positive attitude towards math. ## Tips for Math Homework and Remembering Grade 5 Math homework and remembering grade 5 can be more effective if students follow some tips while using it. Some of the tips are: - Read the directions carefully and follow them exactly. - Show all your work and explain your reasoning. - Use appropriate tools and strategies to solve problems, such as drawings, models, tables, charts, graphs, formulas, etc. - Check your work for errors and fix them if you find any. - Ask for help from your teacher, parent, or peer if you get stuck or confused. - Review your work regularly and learn from your mistakes. ## Table of Contents for Math Homework and Remembering Grade 5 Volume 1 Unit Title Topics --- --- --- 1 Place Value Concepts Place value, comparing numbers, rounding numbers 2 Addition and Subtraction Adding whole numbers, subtracting whole numbers, estimating sums and differences 3 Multiplication Concepts Multiplying by one-digit numbers, multiplying by multiples of 10, estimating products 4 Division Concepts Dividing by one-digit numbers, dividing by multiples of 10, estimating quotients 5 Multiplication Strategies with Whole Numbers Multiplying by two-digit numbers, multiplying by larger numbers 6 Division Strategies with Whole Numbers Dividing by two-digit numbers, dividing by larger numbers 7 Algebra: Variables and Expressions Writing expressions, evaluating expressions, writing equations 8 Algebra: Equations and Functions Solving equations, finding function rules 9 Data Analysis: Displaying Data Reading tables, making tables, reading graphs, making graphs 10 Data Analysis: Measures of Variability Finding range, finding mean absolute deviation ## Sample Lesson from Math Homework and Remembering Grade 5 Volume 1 ### Unit 3 Lesson 2: Multiplying by One-Digit Numbers #### Homework Page Directions: Solve each problem. Show your work. 1. A baker makes 8 loaves of bread every day. How many loaves does he make in 6 days? - Solution: To find the total number of loaves, we can multiply 8 by 6. $$8 \times 6 = ?$$ - We can use an array to model the multiplication. ![An array of 8 rows and 6 columns of dots](https://i.imgur.com/8xZg2Zf.png) - We can count the dots in each row or column to find the product. $$8 \times 6 = 48$$ - The baker makes 48 loaves of bread in 6 days. 2. A school has 9 classes with 25 students each. How many students are in the school? - Solution: To find the total number of students, we can multiply 9 by 25. $$9 \times 25 = ?$$ - We can use the distributive property to break up the multiplication into two smaller ones. $$9 \times 25 = (9 \times 20) + (9 \times 5)$$ - We can use mental math to find the products. $$9 \times 20 = 180$$ $$9 \times 5 = 45$$ - We can add the partial products to find the final product. $$9 \times 25 = 180 + 45 = 225$$ - The school has 225 students. 3. A pack of pencils costs $4. How much do 7 packs cost? - Solution: To find the total cost, we can multiply 4 by 7. $$4 \times 7 = ?$$ - We can use repeated addition to model the multiplication. $$4 \times 7 = 4 + 4 + 4 + 4 + 4 + 4 + 4$$ - We can add the terms to find the sum. $$4 \times 7 = 28$$ - The cost of 7 packs is $28. #### Remembering Page Directions: Answer each question. Use words, numbers, or drawings to explain your answer. 1. What is an array? How can you use it to model multiplication? - Answer: An array is a rectangular arrangement of objects or symbols in rows and columns. You can use it to model multiplication by making each row or column represent a factor and counting the total number of objects or symbols to find the product. 2. What is the distributive property? How can you use it to multiply by one-digit numbers? - Answer: The distributive property is a property that states that a(b + c) = ab + ac for any numbers a, b, and c. You can use it to multiply by one-digit numbers by breaking up one factor into two parts and multiplying each part by the other factor, then adding the partial products. For example, to multiply 8 by 7, you can write: $$8 \times 7 = (8 \times 5) + (8 \times 2)$$ Then, you can multiply and add: $$8 \times 7 = (40) + (16) = 56$$ 3. What is repeated addition? How can you use it to multiply by one-digit numbers? - Answer: Repeated addition is a way of adding the same number several times. You can use it to multiply by one-digit numbers by adding the same number as many times as the other factor. For example, to multiply 6 by 4, you can write: $$6 \times 4 = 6 + 6 + 6 + 6$$ Then, you can add: $$6 \times 4 = 24$$

## math homework and remembering grade 5

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