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7th Grade Integers
Module 1
Integers in Context and on the Number Line
1
Understanding Positive and Negative Integers in Everyday Life
Interpret positive and negative integers in everyday contexts such as temperatures, elevations, money, and gains or losses.
Interpret positive and negative integers in everyday contexts such as temperatures, elevations, money, and gains or losses.
2
Representing Integers on a Number Line
Represent a given integer accurately on a number line.
Represent a given integer accurately on a number line.
3
Finding the Opposite of an Integer
Identify the opposite of a given integer.
Identify the opposite of a given integer.
4
Understanding Absolute Value as Distance from Zero
Determine the absolute value of an integer as its distance from zero.
Determine the absolute value of an integer as its distance from zero.
5
Comparing Integers Using <, >, and =
Compare two integers using <, >, or =.
Compare two integers using <, >, or =.
6
Ordering Integers Ascending and Descending
Arrange a set of integers in ascending or descending order.
Arrange a set of integers in ascending or descending order.
Module 2
Calculating with Integers
7
Adding Integers with the Same Sign
Add two integers that have the same sign.
Add two integers that have the same sign.
8
Adding Integers with Different Signs
Add two integers that have different signs.
Add two integers that have different signs.
9
Subtracting Integers by Adding the Opposite
Subtract integers by rewriting subtraction as addition of the opposite.
Subtract integers by rewriting subtraction as addition of the opposite.
10
Multiplying Integers with Sign Rules
Multiply integers using the correct sign rule.
Multiply integers using the correct sign rule.
11
Dividing Integers Using Sign Rules
Divide integers using the correct sign rule.
Divide integers using the correct sign rule.
12
Order of Operations with Integers
Complete calculations involving several integer operations in the correct order.
Complete calculations involving several integer operations in the correct order.
13
Finding Missing Numbers in One-Step Equations
Determine a missing integer in a one-step addition, subtraction, multiplication, or division equation.
Determine a missing integer in a one-step addition, subtraction, multiplication, or division equation.
Module 3
Properties of Integer Operations
14
Testing Closure of Integers Under Arithmetic Operations
Test whether the set of integers is closed under a given arithmetic operation.
Test whether the set of integers is closed under a given arithmetic operation.
15
Determining Whether Integer Operations Are Commutative
Use examples to determine whether an integer operation is commutative.
Use examples to determine whether an integer operation is commutative.
16
Testing Associativity of Integer Operations with Examples
Use examples to determine whether an integer operation is associative.
Use examples to determine whether an integer operation is associative.
17
Using Identity Properties in Integer Calculations
Apply the additive identity and multiplicative identity properties to integer calculations.
Apply the additive identity and multiplicative identity properties to integer calculations.
18
Simplifying Integer Expressions Using Additive Inverses
Apply the additive inverse property to simplify an integer expression.
Apply the additive inverse property to simplify an integer expression.
19
Using the Distributive Property
Apply the distributive property of multiplication over addition or subtraction.
Apply the distributive property of multiplication over addition or subtraction.
20
Using Integer Properties to Simplify Expressions
Choose and apply an integer property to calculate an expression efficiently.
Choose and apply an integer property to calculate an expression efficiently.
Module 4
Brackets, Applications, and Exam Practice
21
Applying Order of Operations to Integer Expressions
Apply the order of operations to an integer expression without brackets.
Apply the order of operations to an integer expression without brackets.
22
Simplifying Integer Expressions with Brackets
Simplify an integer expression containing one level of brackets.
Simplify an integer expression containing one level of brackets.
23
Simplifying Integer Expressions with Grouping Symbols
Simplify an integer expression containing nested parentheses, square brackets, or braces.
Simplify an integer expression containing nested parentheses, square brackets, or braces.
24
Removing Brackets Using the Distributive Property and Sign Rules
Remove brackets by applying the distributive property and integer sign rules.
Remove brackets by applying the distributive property and integer sign rules.
25
Evaluating Integer Expressions by Substitution
Evaluate an integer expression after substituting given values for variables.
Evaluate an integer expression after substituting given values for variables.
26
Translating Everyday Situations into Integer Expressions
Translate an everyday situation involving integers into a numerical expression.
Translate an everyday situation involving integers into a numerical expression.
27
Solving Multi-Step Problems with Positive and Negative Integers
Solve a multi-step everyday problem involving positive and negative integers.
Solve a multi-step everyday problem involving positive and negative integers.
28
Correcting Sign and Order-of-Operations Errors
Identify and correct sign-rule or order-of-operations errors in worked solutions.
Identify and correct sign-rule or order-of-operations errors in worked solutions.