Curriculum / Math / 7th Grade / Unit 2: Operations with Rational Numbers / Lesson 18
Math
Unit 2
7th Grade
Lesson 18 of 18
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Lesson Notes
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Solve problems with rational numbers and all four operations.
The core standards covered in this lesson
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 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
Claudio keeps track of how his bank account changes over three weeks.
Claudio's Bank Account
a. At the end of week 3, Claudio has $0 in his bank account. How much did he have at the start of week 1?
b. What is the average amount of money Claudio had in his account at the end of the week over the three weeks?
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Michael’s father bought him a 16-foot board to cut into shelves for his bedroom. Michael plans to cut the board into 11 equal lengths for his shelves.
a. The saw blade that Michael will use to cut the board will change the length of the board by $$-0.125$$ inches for each cut. How will this affect the total length of the board?
b. After making his cuts, what will the length of each shelf be to the nearest hundredth of an inch?
Grade 7 Mathematics > Module 2 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, 5:17 p.m..
Evaluate each expression:
a. $${{-{2\over3}\over{-{8\over9}}} + {1\over5}}$$
b. $${-0.3(4+(-1.8))-6{1\over2}}$$
A set of suggested resources or problem types that teachers can turn into a problem set
15-20 minutes
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5-10 minutes
The temperatures in Jackman, Maine, are shown in the table below.
a. What is the average temperature in Jackman, Maine, from Monday to Friday?
b. On Saturday, the weather reporter in Jackman says that the average temperature, from Monday to Saturday, has risen to 0 °C. What is the temperature on Saturday?
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Topic A: Adding and Subtracting Rational Numbers
Represent rational numbers on the number line. Define opposites, absolute value, and rational numbers.
Standards
7.NS.A.1
Compare and order rational numbers. Write and interpret inequalities to describe the order of rational numbers.
Describe situations in which opposite quantities combine to make zero.
7.NS.A.1.A
Model the addition of integers using a number line.
7.NS.A.1.B7.NS.A.1.D
Determine efficient ways to add rational numbers with and without the number line.
Efficiently add and reason about sums of rational numbers.
Understand subtraction as addition of the opposite value (or additive inverse).
7.NS.A.1.C7.NS.A.1.D
Find and represent the distance between two rational numbers as the absolute value of their difference.
7.NS.A.1.C
Subtract rational numbers with and without the number line.
Add and subtract rational numbers efficiently using properties of operations.
7.NS.A.1.D
Add and subtract rational numbers using a variety of strategies.
7.NS.A.17.NS.A.1.A7.NS.A.1.B7.NS.A.1.C7.NS.A.1.D
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Topic B: Multiplying and Dividing Rational Numbers
Determine the rules for multiplying signed numbers.
7.NS.A.2.A7.NS.A.2.C
Multiply signed rational numbers and interpret products in real-world contexts.
Determine the rules for dividing signed numbers.
7.NS.A.2.B7.NS.A.2.C
Divide signed rational numbers and interpret quotients in real-world contexts.
Convert rational numbers to decimals using long division and equivalent fractions.
7.NS.A.2.D
Multiply and divide with rational numbers using properties of operations.
7.NS.A.27.NS.A.2.C
Topic C: Using all Four Operations with Rational Numbers
7.NS.A.3
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