Curriculum / Math / 7th Grade / Unit 3: Numerical and Algebraic Expressions / Lesson 2
Math
Unit 3
7th Grade
Lesson 2 of 11
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Lesson Notes
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Write and evaluate expressions for mathematical and contextual situations.
The core standards covered in this lesson
7.EE.A.1 — Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
7.NS.A.3 — Solve real-world and mathematical problems involving the four operations with rational numbers. Computations with rational numbers extend the rules for manipulating fractions to complex fractions.
The foundational standards covered in this lesson
6.EE.A.2 — Write, read, and evaluate expressions in which letters stand for numbers.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
This lesson approaches 7.EE.1 while engaging students in 7.NS.3.
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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
Given the expression: $${(a^2-b)-(2ab)}$$
Is the expression greater when $${a=-1}$$, $${b=1}$$ or when $${a=1}$$, $${b=-1}$$?
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a. Write an expression for each sequence of operations.
Expression 1: Add $$3$$ to $$x$$, subtract the result from $$1$$, then double what you have. Expression 2: Add $$3$$ to $$x$$, double what you have, then subtract $$1$$ from the result.
b. Evaluate each expression for $$x=-2$$.
Writing Expressions, accessed on Oct. 6, 2017, 2:32 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.
Three friends went to the movies. Each purchased a medium-sized popcorn for $$p$$ dollars and a small soft drink for $$d$$ dollars. The friends paid together with two twenty-dollar bills.
a. Write an expression to represent the amount of money the friends get back in change after paying for their snacks.
b. How much change will the friends get back if the concession stand charges $6.50 for a medium-sized popcorn and $4.00 for a small soft drink?
Grade 7 Mathematics > Module 2 > Topic C > Lesson 18 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..
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
Four siblings buy a gift for their father on his birthday. Each sibling contributes the same amount of money towards the gift. The gift ends up coming to $63 and after paying for the gift, there is some money left over which the siblings equally split.
a. Write an expression to represent the amount of money each sibling will get back after the gift is paid for.
b. If each sibling contributed $18 towards the gift, how much money did each sibling get back?
Evaluate $${2x^3-4\left ( x+4\frac{1}{2} \right )}$$ for $${x=-2}$$.
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.
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Expand and factor expressions using the distributive property and the greatest common factor.
Topic A: Evaluating Numerical and Algebraic Expressions
Evaluate numerical expressions with rational numbers using the order of operations.
Standards
7.EE.A.17.NS.A.3
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Topic B: Generating Equivalent Expressions
7.EE.A.1
Expand and factor expressions with negative rational numbers.
Add and simplify expressions by combining like terms.
Subtract and simplify expressions.
Simplify expressions by combining like terms and using the distributive property and properties of operations (Part 1).
Simplify expressions by combining like terms and using the distributive property and properties of operations (Part 2).
Write and interpret expressions in different ways to shed new meaning on a context.
7.EE.A.2
Topic C: Solving Multi-Step Problems using Expressions
Solve multi-step real-world problems with rational numbers.
7.EE.B.37.NS.A.3
Model real-world problems involving rational numbers using reasoned estimates.
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