Grade 5: Chapter 1- Place Value, Multiplication, and Expressions
Grade 5: Chapter 1- Place Value, Multiplication, and Expressions.
Chapter Essential Question:How can you use place value, multiplication, and expressions to represent and solve problems?
Before(Grade 4) / Chapter One Standards
Grade 5 / After
(Grade 6)
Generalize place value understanding for multi-digit whole numbers. (4.NBT.1)
Use place value understanding and properties of operations to perform multi-digit arithmetic. (4.NBT.5, 4.NBT.6) / Operations and Algebraic Thinking 1: Use parentheses, brackets, or braces in numerical expressions, andevaluate expressions with these symbols.
- I can use properties of operations to solve problems.
- I can write numerical expressions.
- I can use the order of operations to evaluate numerical expressions.
- I can evaluate numerical expressions with parenthesis, brackets, and braces.
Apply and extend previous understandings of arithmetic to algebraic expressions. (6.EE.1)
Operations and Algebraic Thinking 2: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example,express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7).Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921,without having to calculate the indicated sum or product.
- I can write numerical expressions.
Number and Operations Base Ten 1: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
- I can recognize the 10 to 1 relationship among place value positions.
- I can read and write whole numbers through hundred millions.
Number and Operations Base Ten 2: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
- I can write and evaluate repeated factors in exponent form.
- I can use basic fact and a pattern to multiply mentally by multiples of 10, 100, and 1,000.
Number and Operations Base Ten 5: Fluently multiply multi-digit whole numbers using the standard algorithm.
- I can multiply by 1-digit numbers.
- I can multiply by multi-digit numbers
Number and Operations Base Ten 6: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
- I can use multiplication to solve division problems.
- I can use the strategy solve a simpler problem to solve problems.
Each day the math block will begin with 15 minutes of Daily Math Review and Mental Math. The focus of DMR should be either prerequisite standard skills or previous chapter concepts that were not mastered. The focus of mental math should be based on the current Chapter’s skills and concepts. Adjust the amount of questions in DMR and MM to fit into the 15 minute time block.
Suggested Chapter Pacing
All lessons are paced for one day, unless otherwise indicated. Teachers may adjust to meet students’ needs.
Launching the Chapter / Pre-Assessment / Review Prerequisite SkillsModel It!: TE 3I / Show What You Know Assessment
Identify Tier 2 and Tier 3 Groups for Small Group Instruction.
Day before beginning Lesson 1.1 / Vocabulary Activity
Increase understanding of inverse operations. TE 3H / Vocabulary Builder
Identify students who will need further vocabulary support for Chapter One. / Preview Chapter Centers
Introduce chapter games, activities, and literature students will be using during center time. / School – Home Letter
Read together and send home.
I Can Statement / Essential Question / Implementation Notes
Lesson 1.1
Numbers and Operations in Base Ten 1 / I can recognize the 10 to 1 relationship among place value positions. / How can you describe the relationship between two place-value positions? /
- All new center activities will need to be introduced today.
- Possible 2-day lesson.
- Base 10 blocks needed
- Students may not understand that 1/10 means divided by ten
Lesson 1.2
Numbers and Operations in Base Ten 1 / I can read and write whole numbers through hundred millions. / How can you read, write, and represent whole numbers through hundred millions? /
- Standard, word, and expanded form
Lesson 1.3
Operations and Algebraic Thinking 1 / I can use properties of operations to solve problems. / How can you use properties of operations to solve problems? /
- All new center activities will need to be introduced today.
- May want to make class charts of properties of addition and multiplication
- Students may not have heard the terms “commutative,” “associative,” or “identity.”
Lesson 1.4
Numbers and Operations in Base Ten 2 / I can write and evaluate repeated factors in exponent form. / How can you use an exponent to show powers of 10? /
- One new center activity will need to be introduced today.
Lesson 1.5
Numbers and Operations in Base Ten 2 / I can use basic fact and a pattern to multiply mentally by multiples of 10, 100, and 1,000. / How can you use a basic fact and a pattern to multiply by a 2-digit number? /
- Mid-Chapter Checkpoint not required.
Lesson 1.6
Numbers and Operations in Base Ten 5 / I can multiply by 1-digit numbers. / How do you multiply by 1-digit numbers? /
- Need to work on transition from various multiplication strategies to standard algorithm
Lesson 1.7
Numbers and Operations in Base Ten 5 / I can multiply by multi-digit numbers. / How do you multiply by multi-digit numbers? /
- One new center activity will need to be introduced today.
- Possible 2 day lesson
Lesson 1.8
Numbers and Operations in Base Ten 6 / I can use multiplication to solve division problems. / How is multiplication used to solve a division problem? /
- All new center activities will need to be introduced today.
Lesson 1.9
Numbers and Operations in Base Ten 6 / I can use the strategy solve a simpler problem to solve problems. / How can you use the strategy solve a simpler problemtohelp you solve a division problem? /
- This is a problem solving lesson. The structure of this lesson may look differently than the other lessons in this chapter.
- Possible 2-day lesson.
Lesson 1.10
Operations and Algebraic Thinking 1 + 2 / I can write numerical expressions. / How can you use a numerical expression to describe a situation?
I Can Statement / Essential Question / Implementation Notes
Lesson 1.11
Operations and Algebraic Thinking 1 / I can use the order of operations to evaluate numerical expressions. / In what order must operations be evaluated to find the solution to a problem?
Lesson 1.12
Operations and Algebraic Thinking 1 / I can evaluate numerical expressions with parenthesis, brackets, and braces. / In what order must operations be evaluated to find a solution when there are parenthesis, brackets, and braces?
Resources and Centers for Chapter 1
Technology / Hands-On Resources / Centers
Digital Lesson: Engage / Base-Ten Blocks / Activity: Number Explosion
Fastt Math / Math Journal / Activity: Amazing Areas
Interactive White Board Lesson / MathBoard / Activity: Multiplication Relay
Interactive Student Edition / Other Hands-On Resources may be needed for Small Group Instruction Activities. / Activity: Special 5
iTools: Base-Ten Blocks / Activity: 15-Minute March
iTools: Counters / Activity: Form Fun
Math on the Spot Videos / Literature: A Drive Through History
Mega Math / Literature: Niagara Falls Numbers
Personal Math Trainer / Game: What’s Left?
Additional Resources for Chapter 1
Operations and Algebraic Thinking 1 / Operations in Algebraic Thinking 2 / Number and Operations in Base Ten 1
Bank of CGI Problems / Bank of CGI Problems / Teachers will use Go Math materials to teach NBT.1. If more practice is needed teams of teachers may find or create more experiences with this concept.
APlus Math Order of Operations Flashcards
Number and Operations in Base Ten 2 / Number and Operations in Base Ten 5 / Number and Operations in Base Ten 6
Powers of 10 Lesson / Bank of CGI Problems / Bank of CGI Problems
Power of 10 Yahtzee
Des Moines Public Schools 2014-2015Math Curriculum Guides Page | 1
Grade 5 – Chapter 1