Curriculum / Math / 7th Grade / Unit 2: Operations with Rational Numbers / Lesson 2
Math
Unit 2
7th Grade
Lesson 2 of 18
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Lesson Notes
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Compare and order rational numbers. Write and interpret inequalities to describe the order of rational numbers.
The core standards covered in this lesson
7.NS.A.1 — Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
The foundational standards covered in this lesson
6.NS.C.7 — Understand ordering and absolute value of rational numbers.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
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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
Order the number cards from least to greatest, with the smaller numbers to the left.
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Max lives in Boston and his cousin Marlene lives in New York City. On the first of December, the temperature in Boston is –5.6ËšC and the temperature in New York City is 3.1 degrees below 0ËšC.
Marlene says that it is colder in New York City because –3.1ËšC < –5.6ËšC
Is Marlene correct? Explain why or why not.
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
Which inequalities are correct? Select all that apply. For the inequalities that are true, show the comparison on a number line.
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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Describe situations in which opposite quantities combine to make zero.
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
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
Solve problems with rational numbers and all four operations.
7.NS.A.3
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