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Equivalent Expressions Unit Plan Grade 6

Grade Level Grades 6-8
Standards Alignment
Common Core State Standards
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Topics covered in this Unit Plan includes mathematical properties, divisibility rules, prime factorization, distributive property, and least common multiple. 

PEDAGOGY METHODS

  • The main instructional strategy of this Unit Plan is to use the concept of a "Flipped Classroom," where the students take notes on each topic at home as homework rather than in the classroom and the homework is done in class. The notes are taken a day in advance before students work on the assignments in class. The goal is to provide students will more instructional support in solving through the math problems and promote more academic dialogue in class through student collaboration. 
  • (Recommendation) Traditional instruction is done during the "Lesson 6: Distributive Property" lesson. The reason is for students to clearly understand the different strategies they need to use to distributive expressions and factor expressions to equivalent expressions while in class rather than outside of the classroom. 

STUDENT OBJECTIVES

  • The unit objective is for students to compute fluently with multi-digit numbers and find common factors and multiples. The students will apply and extend previous understandings of arithmetic to algebraic expressions.
  • Students will be able to identify and evaluate equivalent expressions using mathematical properties, divisibility rules, prime factorization, greatest common factor, distributive property, and least common multiple.

PACING GUIDE

  • Day 1: Lesson 1 - Mathematical Properties
  • Day 2: Lesson 2 - Mathematical Properties Review
  • Day 3: Lesson 3 - Divisibility Rules
  • Day 4: Lesson 4 - Prime Factorization
  • Day 5: Assessment - Quiz for Lessons 1 to 4
  • Day 6: Lesson 5 - Greatest Common Factor 
  • Day 7: Lesson 6 - The Distributive Property
  • Day 8: Lesson 7 - Distributive Property Review
  • Day 9: Lesson 8 - Least Common Multiple
  • Day 10: Assessment - Unit Test for Lessons 1 to 8

Resources

Videos
Identity Property of Addition & Multiplication
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Zero Property of Multiplication
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1.2 Commutative Property of Addition and Multiplication
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The Associative Property of Addition & Multiplication
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Divisibility tests for 2, 3, 4, 5, 6, 9, 10 | Factors and multiples | Pre-Algebra | Khan Academy
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How to Learn Prime Factorization for Children : Math Education
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Prime factorization (division ladder)
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GCF using factor trees
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Finding the GCF using the Ladder Method
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How to Do Distributive Property & Combine Like Terms : Math Tips
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Least common multiple exercise 2 | Factors and multiples | Pre-Algebra | Khan Academy
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Teaching Kids LCM & GCF With the Ladder Method : Math Concepts
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Standards

Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor.
Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).
Apply the properties of operations to generate equivalent expressions.
Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them).

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