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Illustrative Mathematics

Numbers in a Multiplication Table

For Teachers 3rd - 5th Standards
Identifying patterns is a crucial skill for all mathematicians, young and old. Explore the multiplication table with your class, using patterns and symmetry to teach about square numbers, prime numbers, and the commutative and identity...
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Lesson Plan
Alabama Learning Exchange

Fortune Properties

For Teachers 7th - 8th Standards
Complete identity and equality property problems in hands-on activities. Smart cookies identify the identity and equality properties. They complete a review of order of operations, watch an online video, and make a foldable with the...
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Lesson Plan
Virginia Department of Education

A Mystery to Solve

For Teachers 8th - 10th Standards
Investigate field properties of real numbers. Scholars use a table for a given operation to determine the identity element. They use the same table to find a missing value in an equation.
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Worksheet
Curated OER

Identity and Equality Properties

For Students 9th
In this identify and equality properties worksheet, 9th graders solve and complete 14 different problems. First, they solve each equation for the given variable. Then, students name the property or properties illustrated by each...
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Worksheet
Curated OER

Identity and Equality Properties

For Students 8th - 9th
In this identity and equality properties learning exercise, students solve and complete 20 various types of problems. First, they name the property illustrated by each statement. Then, students evaluate each expression and name the...
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Worksheet
Curated OER

Properties of Real Numbers

For Students 9th
In this properties of real numbers worksheet, 9th graders solve and complete 30 different problems that include identifying and using various types of properties. First, they define each property by stating an example for each one...
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Lesson Plan
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Beyond Benign

Packed Up Properties

For Students 6th - 8th
Determine physical properties of potential packaging materials. Continuing from previous lessons in the series, the resource asks groups to identify physical properties of the substances. They test for conductivity, solubility, water...
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Lesson Plan
EngageNY

The Multiplication of Polynomials

For Students 10th - 12th Standards
If you can multiply multi-digit integers, you can multiply polynomials. Learners use an area model to compare multiplying numbers to multiplying polynomials. They progress to using the distributive property. 
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Worksheet
Curated OER

Easy Worksheet: Name that Property - Math Properties

For Students 9th - 12th
In this math properties worksheet, high schoolers solve 10 short answer problems. Students identify the property illustrated by the given example.
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Lesson Plan
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Alabama Learning Exchange

Miss Integer Finds Her Properties in Order

For Teachers 4th - 6th Standards
Access prior knowledge to practice concepts like order of operations and exponents. Your class can play this game as a daily review or as a warm-up activity when needed. They work in groups of four to complete and correct review problems.
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Worksheet
Curated OER

Study Buddies: Working With Addition Properties

For Students 4th - 5th
In this math worksheet, students will work with a coach to learn about and practice three addition properties: associative, commutative, and identity. Students will follow a step-by-step process and notes are provided for the coach.
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Lesson Plan
Curated OER

Using Basic Properties to Solve Problems in Math

For Teachers 6th - 8th Standards
Learners identify and define the rules of properties of real numbers. They rewrite each of the problems listed using the commutative or associative properties. Pupils apply problem solving strategies to clarify situations in a table...
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Lesson Plan
Curated OER

Multiplicative and Additive Identity

For Teachers 6th - 8th
Students explore the identity properties of multiplication and of addition. They answer riddles that have to do with the identity properties and observe the teacher explanation of each property as they are modeled on the board. ...
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Lesson Plan
EngageNY

Proofs of Laws of Exponents

For Teachers 8th Standards
Apply pupil understanding of exponent properties to prove the relationships. In the sixth lesson of the series, individuals are expected to prove relationships using mathematical statements and reasoning.
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Lesson Plan
Curated OER

Identify and Apply the Properties of Real Numbers

For Teachers 10th - 11th
Learners apply the properties of real numbers. In this algebra worksheet, students identify elements of an operation given a table of values. They identify the missing values in the table. There are 5 questions with an answer key.
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Worksheet
Curated OER

Properties of Numbers

For Students 9th - 11th
In this algebra activity , students apply the properties of numbers to answer problems written in a certain way, The answer must make the property a true statement. There are 32 questions with an answer key.
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Lesson Plan
Curated OER

Distributive Property, Identity

For Teachers 7th
Seventh graders review rational numbers. After listening to a story, 7th graders define the distributive and identity properties. They observe examples of each property and play a race game to practice identifying the properties. ...
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Worksheet
Curated OER

Properties of Real Numbers

For Students 8th - 9th
For this properties of real numbers worksheet, learners solve 10 different problems related to various properties of real numbers. They determine for each problem which property of numbers is represented. Then, students solve each of the...
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Worksheet
Curated OER

Properties of Real Numbers

For Students 9th
In this properties of real numbers worksheet, 9th graders solve 10 different problems that include applying various properties for real numbers. First, they identify the property of real numbers that is demonstrated in each problem....
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Lesson Plan
Curated OER

Number Properties-Know'em, Like'em, Use'em

For Teachers 9th
Ninth graders explore mathematical properties through the use of an advertising jingle. They produce a commercial that is digitized and presented to the class. Students write a jingle that simplifies each property and helps classmates...
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Worksheet
Curated OER

Properties of Numbers

For Students 9th - 11th
In this algebra worksheet, students solve problems using the 4 different properties of numbers. They apply associative, commutative, additive and distributive properties to each equation. There are 10 multiple choice questions with an...
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Lesson Plan
Curated OER

Division Problems with 0 and 1

For Teachers 3rd - 4th
Learners explore beginning division. In this division number properties lesson, students solve simple division story problems using cookies. Learners create models that represent the identity and zero properties, then write explanations...
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Interactive
Curated OER

Identity and Equality Properties

For Students 9th
In this Algebra I worksheet, 9th graders identify the property illustrated in the given statement.  The one page interactive worksheet contains a combination of ten multiple choice and free response questions and is self checking.
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Worksheet
Curated OER

The Distributive Property

For Students 8th - 9th
In this distributive property instructional activity, learners solve and complete 12 different problems that include using the distributive property to solve. First, they name the coefficient of each terms and list the like terms. Then,...

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