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Illustrative Mathematics

Equivalent Expressions?

For Teachers 7th - 8th Standards
Pre-algebra pupils need to understand that two expressions are only equal if they have the same value. Show them that once the expression is multiplied by a number, the value of the expression changes. It makes for a good lead-in to...
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Human Number Line

For Teachers 6th - 12th
Students compare different types of numbers. Each student is given a flashcard containing a decimal, percent, fraction or integer. Teams of students compete, in silence, to determine who can line up in numerical order correctly. They...
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SPIRIT 2.0 Lesosn: Adding and Subtracting Integers

For Teachers 6th - 8th Standards
Six pages prepare you to introduce your math stars to the addition and subtraction of positive and negative numbers. They drive a robot back and forth on an actual number line to represent the operations. If you don't have access to a...
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Introductory Algebra Chapter 1 Review

For Teachers 6th - 8th
In this math worksheet, students solve the problems that involve linear equations. They substitute the values given for each variable.
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Arithmetic and Exponents - Week 1

For Teachers 9th - 10th
For this exponent worksheet, young scholars add numbers written in exponential notation. They identify the base and the exponent. This two-page worksheet contains examples, definitions, and nine problems to solve.
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Algebraic Addition

For Teachers 2nd - 8th
Students play a game to realize the rules of signs.
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Absolute Value Bingo

For Teachers 6th - 9th
Young scholars explore some different concepts in relation to using a number line for instruction. Given some number values, they graph the position on the number line. The lesson ends with them playing Bingo.
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Properties of Operations

For Teachers 9th - 11th
In this algebra worksheet, students identify different properties of integers and their operations. There are 30 questions with an answer key.
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Equations and Inequalities Projects

For Teachers 7th - 9th
Students compose equations and inequalities whose solutions are the integers 1-31 and utilize them to number one month of a calendar. They take notes on two ways to work backwards from a solution: by using the number and by setting x...
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Quadratics and Parabola

For Teachers 11th
In this algebra worksheet, 11th graders graph parabolas using the vertex and axis of symmetry. They apply parabolas to word problems as it applies to paths taken. There are 4 problems with an answer key.
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Real Number System

For Teachers 9th
Ninth graders discuss the real number system and its' properties. In this algebra lesson, 9th graders discuss rational, irrational, closure, real numbers and the distributive property of algebra. They solve problems using these...
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The New Texas Two-Step

For Teachers 6th
Sixth graders work with mathematical expressions by interpreting, analyzing and problem solving with them. In this two step algebraic problem solving lesson, 6th graders use algebra tiles to solve equations.
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Adding Integers with Counters

For Teachers 9th - 10th
Students add integers and use counters to create a visual. In this algebra lesson, students work in pairs as they use the computer to add integers. They complete an assessment on adding integers at the end of the activity.
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Finding the nth Term

For Teachers 10th - 11th
Students analyze patterns and try to figure out the next term in the sequence. In this algebra lesson plan, students discuss the functions rule and how it works to solve sequences. They practice solving problems and find the nth term or...
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Number Sense

For Teachers 8th - 9th
Students convert between decimals and fractions. For this algebra lesson, students show their knowledge of numbers by putting them on a number line. They apply the concept of algebra to solving word problems. Students will use a Ti...
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Whole Numbers

For Teachers 6th - 8th
Student are assigned one of the sections on whole numbers. After reviewing the content, they teach their assigned sections to other class mates. They publish their findings on a PowerPoint slide show to use when they teach their section.
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Understanding Inequality Operation Rules

For Teachers 9th - 10th
Students solve problems within-inequalities. In this algebra lesson plan, students apply concepts of addition, subtraction, multiplication and division to solve inequalities.
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When Am I Ever Going to Use this?

For Teachers 8th - 10th
Students solve problems using equations and properties of integers. In this algebra lesson, students solve problems using ratio and proportion and graph their answers on a coordinate plane. They solve word problems using geometry.
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Positively Negative?

For Teachers 6th - 8th
Students practice the addition, subtraction, multiplication, and division of integers. They view a video clip on addition and subtraction of integers. Students observe a Web site that reviews multiplication and division of integers....
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Approximate Solution to an Equation

For Teachers 8th - 10th
Students solve equations through trial and error. In this algebra lesson, students first estimate their answers and then calculate it to check their work. They solve problems involving roots and integers.
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Slippery Slope

For Teachers 8th - 10th
Students define patterns, relation and function. In this algebra instructional activity, students find the slope of a line and write equations of line. They model the slope using real life scenarios.
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Constructing and Solving Linear Equations

For Teachers 6th - 9th
Students solve linear equations In this algebra lesson, students create linear equations using integer coefficients greater than one. They graph their solution on a coordinate plane.
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Pythagorean Theorem

For Teachers 8th
Eighth graders use formulas to solve Pythagorean Theorem problems. They explore the hypotenuse, adjacent angles and legs of a triangle. Given any two integers in a problem, 8th graders identify and complete Pythagorean triples.
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Multiplying Inequalities by Negative

For Teachers 9th - 10th
Pupils multiply inequalities by negative. In this algebra lesson, students solve inequalities and graph their solutions on a number line. They pay close attention to the negative consequence, which causes the sign to flip.