Curriculum / Math / 6th Grade / Unit 5: Numerical and Algebraic Expressions / Lesson 10
Math
Unit 5
6th Grade
Lesson 10 of 12
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Lesson Notes
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Write equivalent expressions using the distributive property (Part 2).
The core standards covered in this lesson
6.EE.A.3 — Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.
6.EE.A.4 — Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.
The foundational standards covered in this lesson
4.NBT.B.5 — Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
Lessons 9 and 10 focus on writing equivalent expressions using the distributive property. Lesson 10 continues the concepts from Lesson 9 but introduces expressions with subtraction.
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
Jenny found the product of $${8 × {49}}$$ by doing $${8({50}) – 8(1)}$$.
a. Explain what strategy Jenny used to find the product.
b. Draw an area model to represent Jenny’s strategy. Include the labels $$8$$, $${50}$$, $${49}$$, and $$1$$. Shade in the area that represents the product.
c. What is another expression that represents the product?
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An area diagram is shown below. Write two equivalent expressions to represent the shaded area in the diagram.
Which of the following expressions are equivalent? Defend your response. If an expression has no match, write two equivalent expressions to match it.
Equivalent Expressions, accessed on Dec. 19, 2017, 11:20 a.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
A set of suggested resources or problem types that teachers can turn into a problem set
15-20 minutes
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
Using properties of operations, complete the table so each row represents a pair of equivalent expressions. In the left column, write the missing product in factored form. In the right column, write the missing sum or difference in expanded form.
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Next
Write algebraic expressions for application situations (Part 1).
Topic A: Numerical Expressions with Exponents
Understand the meaning of exponents.
Standards
6.EE.A.1
Evaluate numerical expressions involving whole-number exponents.
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Topic B: Introduction to Algebraic Expressions
Use variables to write algebraic expressions.
6.EE.A.26.EE.A.2.C6.EE.B.6
Evaluate algebraic expressions.
6.EE.A.26.EE.A.2.C
Write expressions for verbal statements and vice versa (Part 1).
6.EE.A.2.A6.EE.A.2.B
Write expressions for verbal statements and vice versa (Part 2).
Topic C: Equivalent Expressions & Applications
Identify equivalent expressions (Part 1).
6.EE.A.36.EE.A.4
Identify equivalent expressions (Part 2).
Write equivalent expressions using the distributive property (Part 1).
6.EE.B.6
Write algebraic expressions for application situations (Part 2).
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