Lesson Plan
West Contra Costa Unified School District

Solving a System by Substitution

8th - 10th Standards
Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...
Lesson Plan
Virginia Department of Education

Algebra Tiles and Solving Equations

6th - 9th Standards
Young mathematicians solve linear equations by drawing models of algebra tiles using colored pencils. To finish, they solve the same equations algebraically and check their answers using a graphing calculator.
Lesson Plan
EngageNY

Linear Equations in x

8th Standards
What does it mean to solve an equation? The resource revisits the concept of making a linear equation true. Classmates use algebraic methods to transform sides of equations to expressions with fewer terms. They use substitution to...
Lesson Plan
EngageNY

Linear Systems in Three Variables

10th - 12th Standards
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
Lesson Plan
Curated OER

College Prep Algebra, Evaluate Expressions

8th - 9th
For this algebra worksheet, students use order of operations to solve 12 equations. They use the substitution method to solve 12 variable equations.
Lesson Plan
Curated OER

College Prep Algebra, Order of Operations

8th - 9th
In this algebra worksheet, young scholars evaluate 9 exponential terms. They use order of operations to solve 18 rational number problems. Students use substitution to evaluate 4 problems involving variables.
Lesson Plan
Curated OER

Solving Systems Using Substitution

7th - 8th
Write a math story for a series of problems using given variables. The class writes stories, showing understanding of strategies in compound sentences. They then solve the equations.
Lesson Plan
Virginia Department of Education

Evaluating and Simplifying Expressions

6th - 9th Standards
Discover how algebra tiles help evaluate expressions. Scholars learn to use algebra tiles to substitute values in for variables and evaluate expressions. The included worksheet contains a set of evaluation problems to assess individuals'...
Lesson Plan
Curated OER

Substitution "Plugging In"

8th - 10th
The old plug and chug method will help the class investigate functional notation. They explore the meaning of functional notation, f(x), and determine the functional value of given values. The lesson includes two application problems and...
Lesson Plan
Curated OER

Systems of Equations: What Method Do You Prefer?

8th - 12th Standards
Students explore the concept of solving systems of equations. In this solving systems of equations lesson, students watch YouTube videos about how to solve systems by graphing and by elimination. Students use an interactive website to...
Lesson Plan
EngageNY

Modeling Riverbeds with Polynomials (part 1)

10th - 12th Standards
Many things in life take the shape of a polynomial curve. Learners design a polynomial function to model a riverbed. Using different strategies, they find the flow rate through the river.
Lesson Plan
Curated OER

Solving Systems by Substitution

9th - 10th
Students solve systems of linear equations using substitution. They investigate the steps to solving linear equations by substitution and practice problems in small groups.
Lesson Plan
EngageNY

Nature of Solutions of a System of Linear Equations

8th Standards
If at first you cannot graph, substitute. The lesson plan introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series...
Lesson Plan
West Contra Costa Unified School District

Derivative – Standard Definition

11th - Higher Ed
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the...
Lesson Plan
EngageNY

Replacing Letters with Numbers

6th Standards
When did letters become the same as numbers? Scholars learn about substituting numbers for letters to evaluate algebraic expressions in the seventh part in a series of 36. The instructional activity focuses on expressions related to...
Lesson Plan
Curated OER

Algebra: Lesson 4

8th
Eighth graders participate in using algebraic proportional reasoning to find the missing amount that balances on a scale. Substitution is used to discover the missing objects on a scale. They answer multiple choice questions that are...
Lesson Plan
Curated OER

Introductory Algebra Chapter 1 Review

6th - 8th
For this math worksheet, middle schoolers solve the problems that involve linear equations. They substitute the values given for each variable.
Lesson Plan
Curated OER

Substitution Process in Problem Solving

6th - 10th
Students apply the substitution process to solve equations with more than one variable. They explore how to use the process and when it should be used.
Lesson Plan
Curated OER

Solving by Substitution or Elimination

8th - 9th
In this algebra worksheet, pupils solve two systems of linear equations by substitution. They solve 5 systems by using the elimination method. The final 4 problems involve systems of linear equations, but students are given the option of...
Lesson Plan
Curated OER

Elementary Algebra Study Guide

8th - 11th
Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...
Lesson Plan
Curated OER

Solving Various Algebraic Equations for Real and Imaginary Roots

10th - 12th
In this solving equations worksheet, students solve forty-four algebraic equations for real and imaginary solutions. Types of equations include higher degress polynomials, rational equationals, radical equations, and square roots inside...
Lesson Plan
Curated OER

Semester Review Worksheet: College Prep Algebra

11th - 12th
In this semester review worksheet, students simplify given expressions. They translate word sentences into algebraic expressions, solve equations through substitution, and find the value of a variable in a given equation. This worksheet...
Lesson Plan
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EngageNY

Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?

10th - 12th Standards
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra. 
Lesson Plan
Curated OER

The Meaning of Algebraic Expressions

6th - 9th
Students define equations and expressions. In this algebra lesson, students review important vocabulary words to do with equations and solving problems. They simplify equations and expressions using addition, subtraction, multiplication...