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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 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