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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...
Lesson Plan
Curated OER

Gift Wrapping

For Teachers 6th
Sixth graders use the example of a gift wrapping service found in the mall in order to create a problem situation that can be solved mathematically. They convert the word problem into algebraic expressions to be solved.
Lesson Plan
Curated OER

Models with monomials and polynomials

For Teachers 9th - 12th
Learners participate in a lesson plan that focuses on the concepts of combining monomials to make polynomial expressions. They use algebra tiles to complete the exercises in the lesson plan. This is hands-on learning with successive...
Lesson Plan
Curated OER

Using the Distributive Property #5

For Teachers 7th - 8th
In this using the distributive property #5 worksheet, learners simplify 10 algebraic expressions by using the distributive property and combining like terms.
Lesson Plan
Curated OER

Patterns

For Teachers 9th
In this Algebra I worksheet, 9th graders explore number and geometric patterns and use the Sieve of Eratosthenes to find the prime numbers less than one hundred.  The six page worksheet contains eight multipart questions. ...
Lesson Plan
West Contra Costa Unified School District

Search and Rescue Activity

For Students 8th - 10th Standards
Get your classes moving and practicing sequences at the same time! Learners move about the room solving problems and finding their solutions. Problems include both recursive and explicit formulas and both geometric and arithmetic sequences.
Lesson Plan
Curated OER

Factoring Trinomials

For Teachers 9th - 11th
Students factor trinomials using algebra tiles and blocks. In this algebra lesson, students complete a trinomials station activity. They work backwords to find their answers and discuss their steps in a group.
Lesson Plan
Curated OER

Parabolas

For Teachers 9th - 11th
In this Algebra I/Algebra II worksheet, young scholars determine the vertex and the axis of symmetry of a parabola.  The two page worksheet contains a combination of eleven multiple choice and free response questions.  Answers...
Lesson Plan
Curated OER

Concepts, Patterns, Formulas, Substitution

For Teachers 9th - 10th
In this algebra lesson, students define algebraic terms and rewrite them using math symbols. There are 10 problems drawing correlations to geometry as well as algebra.
Lesson Plan
Curated OER

Strike a Pose: Modeling in the Real World (There's Nothing to It!)

For Teachers 8th - 12th Standards
Adjust this instructional activity to fit either beginning or more advanced learners. Build a scatter plot, determine appropriate model (linear, quadratic, exponential), and then extend to evaluate the model with residuals. This problem...
Lesson Plan
Curated OER

River Optimization Problem

For Teachers 8th - 10th
Students define the different methods used for optimizing a particular element of a problem. In this optimization problem lesson, students optimize appropriate details of a problem using data collection, algebra, technology, and/or...
Lesson Plan
Curated OER

Parabolas

For Teachers 9th - 11th
In this Algebra I/Algebra II worksheet, students identify the vertex and the axis of symmetry of a parabola, given the equation.  The two page worksheet contains a combination of ten multiple choice and free response...
Lesson Plan
Curated OER

Dividing by Monomials

For Teachers 9th - 10th
In this math worksheet, students simplify 27 algebraic division problems. Algebraic terms include brackets, negatives, and multiple powers.
Lesson Plan
Curated OER

Solve Me - Multi-Step Equations

For Teachers 8th - 9th
Students explore multi-step equations. In this pre-algebra/algebra I instructional activity, students use the TI-nspire computer algebra system to check the steps they used to solve multi-step equations and equations with variables on...
Lesson Plan
Curated OER

Factoring

For Teachers 9th
In this Algebra I worksheet, 9th graders factor algebraic expressions completely.  The one page worksheet contains ten problems.  Answers are provided. 
Lesson Plan
Curated OER

An Introduction To Solving And Graphing Inequalities

For Teachers 10th - 11th
Students graph inequalities and solve the equations. In this algebra lesson, students graph their solutions on a number line and create an inequality for a word problem.
Lesson Plan
Curated OER

Lines

For Teachers 9th - 11th
In this Algebra I/Algebra II worksheet, students determine the slope of a line, write the equation of a line, examine parallel and perpendicular lines, and solve problems involving linear relationships.  The two page worksheet...
Lesson Plan
Curated OER

Introduction to Tangent Lines using the TI-Nspire

For Teachers 9th - 11th
Students make mathematical argument using the concept of Limit. In this algebra lesson, student calculate the instantaneous rate of change from the linear graph. They use a TI-calculator to create a visual of the graphs.
Lesson Plan
Curated OER

A Triangle Expansion

For Teachers 9th - 12th
Students review the foil method used to multiply two binomials. In this instructional activity on evaluating algebraic expressions, students are able to identify the coefficient in an algebraic expression, "act out" the foil method of...
Lesson Plan
Curated OER

Sequence Investigation

For Teachers 11th
Eleventh graders investigate arithmetic sequences.  In this Algebra II lesson, 11th graders create an arithmetic sequence and explore the effect of each variable in the formula of the nth term of an arithmetic sequence. ...
Lesson Plan
Curated OER

Natural Inspiration

For Teachers 9th - 10th
Students relate math to the real world. In this algebra lesson, students compare plants to math and relate their artistic ability to concepts in math. They draw pictures of flowers, leaves and trees.
Lesson Plan
Curated OER

Multi-step Equations

For Teachers 9th
In this Algebra I worksheet, 9th graders solve all types of one variable linear equations.  The one page worksheet contains a combination of ten multiple choice and free response problems.  Answers are provided. 
Lesson Plan
Curated OER

Properties of Logarithms

For Teachers 9th - 11th
In this algebra worksheet,students apply the properties of logarithm to add, multiply and expand logs. There are 9 questions with an answer key.
Lesson Plan
Curated OER

Properties of Logartihms

For Teachers 9th - 11th
In this algebra worksheet, students apply the properties of logarithms. They solve word problems using the properties of logs and apply the formula for interest to solve money problems. There are 3 problems with an answer key.