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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 7.ee Writing Expressions

For Teachers 7th
For this lesson, 7th graders determine the expression using properties of operations.
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Multiplication and Division Phrases as Equations

For Students 6th - 8th
[Free Registration/Login may be required to access all resource tools.] In this lesson students write multiplication and division verbal phrases as single variable equations. Students examine guided notes, review guided practice, watch...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.ee Triangular Tables

For Teachers 5th - 8th
This task provides a good opportunity for group work and class discussions where students generate and compare equivalent expressions. In class discussion, students should be asked to connect the terms of an expression with quantities...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Using Operations and Parentheses

For Teachers 4th - 8th Standards
The purpose of this task is to give students a chance to work creatively with three of the four fundamental arithmetic operations (addition, subtraction, and multiplication). It is well suited for helping students develop fluency with...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Video Game Scores

For Teachers 4th - 8th Standards
Standard 5.OA.2 asks young scholars to "Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them." This task asks students to exercise both of these complementary skills,...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Words to Expressions 1

For Students 4th - 8th Standards
This problem allows students to see words that can describe the expression from part (c) of "5.OA Watch out for Parentheses." Additionally, the words (add, sum) and (product, multiply) are all strategically used so that the student can...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Watch Out for Parentheses 1

For Teachers 4th - 8th Standards
This problem asks the student to evaluate six numerical expressions that contain the same integers and operations yet have different results due to the placement of parentheses. It helps learners see the purpose of using parentheses....
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.ee Equivalent Expressions

For Teachers 5th - 8th Standards
In this problem, we have to transform expressions using the distributive, commutative and associative properties to decide which expressions are equivalent. Common mistakes are addressed, such as not distributing the 2 correctly. Aligns...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.ee Distance to School

For Teachers 5th - 8th Standards
This task asks students to find equivalent expressions by visualizing a familiar activity involving distance. The given solution shows some possible equivalent expressions, but there are many variations possible. Aligns with 6.EE.A.2.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Bowling for Numbers

For Teachers 4th - 8th Standards
The purpose of this game is to help students think flexibly about numbers and operations and to record multiple operations using proper notation. Aligns with 5.OA.A.1.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Seeing Is Believing

For Teachers 4th - 8th
The purpose of this task is to help students see that 4x(9+2) is four times as big as (9+2). Though this task may seem very simple, it provides students and teachers with a very useful visual for interpreting an expression without...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.ee Watch Out for Parentheses

For Teachers 5th - 8th Standards
This problem asks the student to evaluate three numerical expressions that contain the same integers yet have differing results due to placement of parentheses. Aligns with 6.EE.A.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 6.ee Busy Day

For Teachers 5th - 8th
This problem can be solved using simple arithmetical reasoning but is also naturally represented by a simple equation. Thus, it provides a good entry point for students into representing quantities in contexts with variables and...
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Unit Plan
Mangahigh

Mangahigh: Number: Order of Operations

For Students 5th - 8th Standards
Students learn about the concept of order of operations by exploring a tutorial. They can then test their knowledge by taking a ten question assessment that increases in difficulty as they correctly answer questions.
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Unit Plan
Mangahigh

Mangahigh: Algebra: Add and Subtract Terms With Single Variables

For Students 6th - 9th Standards
This site provides students practice with the concept of simplifying expressions. Students can learn about the topic by completing an interactive tutorial. Students can then take a ten question timed test to practice the skill.
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Unit Plan
Mangahigh

Mangahigh: Algebra: Add and Subtract Terms With Multiple Variables

For Students 9th - 10th Standards
This site provides students practice with the concept of simplifying expressions. Students can learn about the topic by completing an interactive tutorial. Students can then take a ten question timed test to practice the skill.
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Unit Plan
Mangahigh

Mangahigh: Algebra: Multiply Terms

For Students 9th - 10th Standards
Students learn about the concept of multiplying terms by exploring a tutorial. They can then test their knowledge by taking a ten question assessment that increases in difficulty as they correctly answer questions.
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Unit Plan
Mangahigh

Mangahigh: Algebra: Distributive Property, Multiply by an Integer

For Students 6th - 9th Standards
Mangahigh is a website with math games aimed at twelve to eighteen year olds. On this site students multiply across single parenthesis using a constant.
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Unit Plan
Mangahigh

Mangahigh: Algebra: Factor Using a Common Term

For Students 9th - 10th Standards
Students learn about the concept of factoring expressions by exploring a tutorial. They can then test their knowledge by taking a ten question assessment that increases in difficulty as they correctly answer questions.
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Unit Plan
Mangahigh

Mangahigh: Algebra: Factor Using a Common Expression

For Students 9th - 10th Standards
Students explore an interactive tutorial on factoring and then practice their knowledge by attempting ten questions that increase in difficulty level.
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Unit Plan
Mangahigh

Mangahigh: Algebra: Factor Using the Difference of Two Squares

For Students 9th - 10th
Students watch an online tutorial on the concept of factoring trinomials using the difference of two squares. After watching, students test their knowledge by attempting ten practice problems that increase or decrease in difficulty based...
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Unit Plan
Mangahigh

Mangahigh: Algebra: Factor Four Terms Into a Product of Two Expressions

For Students 9th - 10th Standards
Students watch an online tutorial on the concept of factoring polynomials . After watching, students test their knowledge by attempting ten practice problems that increase or decrease in difficulty based on their answers.
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Unit Plan
Mangahigh

Mangahigh: Algebra: Form an Expression or Formula

For Students 6th - 9th Standards
Students watch an online tutorial on the concept of writing expressions. After watching, students test their knowledge by attempting ten practice problems that increase or decrease in difficulty based on their answers.
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Unit Plan
Mangahigh

Mangahigh: Algebra: Use Identities to Solve Problems

For Students 9th - 10th
Students explore the concept of identities by working through an online tutorial and then attempting a ten question quiz that increases in difficulty as questions are answered correctly.