Curriculum / Math / 6th Grade / Unit 5: Numerical and Algebraic Expressions / Lesson 2
Math
Unit 5
6th Grade
Lesson 2 of 12
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Evaluate numerical expressions involving whole-number exponents.
The core standards covered in this lesson
6.EE.A.1 — Write and evaluate numerical expressions involving whole-number exponents.
The foundational standards covered in this lesson
5.OA.A.1 — Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
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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
Evaluate the following numerical expressions. For each expression, determine if the parentheses can be removed without changing the value of the expression.
a. $${2(5+(3)(2)+4)}$$
b. $${2((5+3)(2+4))}$$
c. $${2(5+3(2+4))}$$
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Watch Out for Parentheses, accessed on Dec. 18, 2017, 2:36 p.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.
Four expressions are shown below along with four area diagrams.
Match each expression to a diagram. Then evaluate the expression and find the area of the diagram to demonstrate they are equivalent.
Expressions:
$$2^{2}+5^{2}$$ $${2\times5^2}$$ $${2+5^2}$$ $${(2+5)^2}$$
Area Diagrams:
Evaluate each numerical expression.
a. $$2 × \left( 3+4^2 \right)$$
b. $$2 × (3+4)^2$$
c. $${[2(3+4)]^2}$$
d. $${2+3(4+1)^2}$$
Grade 6 Mathematics > Module 4 > Topic B > Lesson 6 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
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15-20 minutes
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5-10 minutes
Evaluate the expressions.
a. $$24\div(2+1)+(11-8)\times2$$
b. $$3^2\times4-10+(12-3)^2$$
c. $$(3\times4)^2-10\times(12-3^2)$$
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Next
Use variables to write algebraic expressions.
Topic A: Numerical Expressions with Exponents
Understand the meaning of exponents.
Standards
6.EE.A.1
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Topic B: Introduction to 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).
Write equivalent expressions using the distributive property (Part 2).
Write algebraic expressions for application situations (Part 1).
6.EE.B.6
Write algebraic expressions for application situations (Part 2).
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