Download Module 9

2016-2017 Curriculum Blueprint
Grade: 6
Course: Grade 6 Math
Approximate Time:
7 Days
Module 9: Generating Equivalent Numerical Expressions
Learning Goal
Students will be able to represent real-world
problems with numerical expressions and simplify
the expressions by applying rules relating to
exponents, prime factorization, and order of
operations.
Essential Questions
1. How can you generate equivalent numerical
expressions and use them to solve real-world
problems?
2. How do you use exponents to represent numbers?
3. How do you write the prime factorization of a number?
4. How do you use the order of operations to simplify
expressions with exponents?
Unit Overview
Students will learn about generating equivalent numerical and
algebraic expressions.
Vertical Progression
MAFS.5.NBT.1.2: In Grade 5, students explained patterns in the number of zeros of the product when multiplying a number by powers of 10 and in the placement of the decimal point
when a decimal is multiplied or divided by a power of 10, and used whole-number exponents to denote powers of 10.
MAFS.8.EE.1.1: In Grade 8, students will know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 × 3–5 = 3–3 = 1/33 = 1/27.
Module Focus Standards
Module Topics
Grade 6 Math Test Item Specs (Reference Sheet at End)
Grade 6 Flipbook
MAFS.6.EE.1.1: (DOK 1) Write and evaluate numerical expressions involving wholenumber exponents. [procedural]
 Write numerical expressions involving whole number exponents
Ex. 34 = 3 x 3 x 3 x3
 Evaluate numerical expressions involving number exponents
Ex. 34 = 3 x 3 x 3 x 3 = 81
 Solve order of operation problems that contain exponents.
Ex. 3 + 22 − (2 + 3) = 2
Exponents (6.EE.1.1)
Mathematical Practices
Core Resource:
 Lesson 9.1 (HMH Book)
Additional Resources:
 Engage NY: Module 4 Lesson 5
 Khan: Intro to Exponents
Formative Assessments:
 CPALMS: Evaluating Exponents
 CPALMS: Paul's Pennies
 Engage NY: Module 4 Lesson 5 Exit Ticket
Link to Mathematical Practice Standards Rubric
Prime Factorization (6.EE.1.1)
MAFS.K.12.MP.2.1: Reason abstractly and quantitatively.
Core Resource:
 Lesson 9.2 (HMH Book)
MAFS.K12.MP.5.1: Use appropriate tools strategically.
Additional Resources:
 Wake: Prime Factorization
 Khan: Prime Factorization
Formative Assessments:
 HMH: 9.2 Lesson Quiz (1, 2)
Essential Vocabulary
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Base
Exponent
Order of Operations
Power
Higher Order Question Stems
 What do the numbers or symbols used in
this problem represent?
 Why is it helpful to use_______?
Writing Connections
 Write to explain the relationship between
_______ and _______.
 Write to explain why you used the
specific tool to solve the problem.
Link to Webb’s DOK Guide
2016-2017 Curriculum Blueprint
Grade: 6
Course: Grade 6 Math
Module 9: Generating Equivalent Numerical Expressions
 HMH: 9.2 Lesson Quiz (4, 5)
Order of Operations (6.EE.1.1)
Core Resource:
 Lesson 9.3 (HMH Book)
Additional Resources:
 Engage NY: Module 4 Lesson 6
 Khan: Intro Order of Operations
 Illuminations: Balancing Algebraic Thinking
Formative Assessments:
 MARS: Representing the Laws of Arithmetic
 Engage NY: Module 4 Lesson 6 Exit Ticket
Approximate Time:
7 Days