EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first activity in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
Virginia Department of Education
Algebra Tiles and Solving Equations
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.
EngageNY
One-Step Equations—Multiplication and Division
Discover one more step to being able to solve any one-step equation. Scholars continue their work with one-step equations in the 28th installment of a 36-part module. Tape diagrams and algebraic processes introduce how to solve one-step...
Curated OER
Using Algebra
Sixth graders explore mathematics by completing equations in a math notebook. They will collaborate in small groups to complete different algebra problems and write their work down in a notebook, which they show their teacher. Then they...
EngageNY
Rational Exponents—What are 2^1/2 and 2^1/3?
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
EngageNY
Advanced Factoring Strategies for Quadratic Expressions (part 1)
Factoring doesn't have to be intimidating. Build on prior knowledge of multiplying binomials and factoring simple trinomials to teach advanced factoring of quadratic expressions with a lesson that uses various methods of exploring the...
West Contra Costa Unified School District
Simplifying Radicals – Day 1
It doesn't get simpler than this. Scholars first learn to simplify radicals by determining the prime factors of the radicand. The activity progresses to simplifying radicals involving algebraic expressions in the radicand.
EngageNY
One-Step Equations—Addition and Subtraction
Just one step is all you need to find success in solving equations. The 27th installment in a series of 36 teaches how to solve one-step equations involving addition and subtraction. Tape diagrams help future mathematicians in this task.
Illustrative Mathematics
Toilet Roll
Potty humor is always a big hit with the school-age crowd, and potty algebra takes this topic to a whole new level. Here the class develops a model that connects the dimensions (radii, paper thickness, and length of paper) of a common...
West Contra Costa Unified School District
Introduction to Solving Linear Inequalities in One Variable
Life isn't fair ... like inequalities. After first reviewing inequality symbols and how to read inequality statements, learners discover how to solve one-step inequalities and graph their solution sets.
West Contra Costa Unified School District
Standard Form of Conics
Looking for a complete go-to guide for the standard form of conics? This five-page packet does a nice job of connecting conics to prior knowledge of functions and transformations. Adapt the resource as Algebra II lesson plan notes, or...
Curated OER
Linear Inequalities in One and Two Variables: Rays and Half Planes
Define rays and half planes, including the concepts of boundary lines and prerequisite knowledge of coordinate planes. Given linear inequalities in one and two variables, your class will compare the differences. They will also graph...
Illustrative Mathematics
Fishing Adventures 1
Often inequalities exist in many real-world contexts but young math learners struggle with understanding how to represent that relationship in a simple equation using an inequality. This activity focuses on the basic concepts by using...
West Contra Costa Unified School District
Solving Equations with Variables on Both Sides
So many different ways to solve equations, so little time! Scholars learn how to solve equations with variables on both sides by using several different methods. They apply bar models, decomposition, and traditional algebraic methods to...
EngageNY
Modeling a Context from a Verbal Description (part 1)
When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson are designed for business applications and require complex algebraic expressions.
Illustrative Mathematics
Logistic Growth Model, Abstract Version
Here learners get to flex some serious algebraic muscles through an investigation of logistic growth. The properties of the constant terms in the logistic growth formula are unraveled in a short but content-dense activity. Moving...
EngageNY
Modeling Video Game Motion with Matrices 1
Video game characters move straight with matrices. The first day of a two-day lesson introduces the class to linear transformations that produce straight line motion. The 23rd part in a 32-part series has pupils determine the...
Buffalo State
Adding and Subtracting Integers Unit
Just because one integer is larger than another doesn't mean it will make sense right away. Go beyond note taking and show learners, through the use of algebra tiles and a Four-Pan Algebra Balance, how the numbers relate to one another...
EngageNY
Systems of Equations
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods.
EngageNY
Graphing Systems of Equations
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous instructional activity, pupils learn algebraic methods of solving the systems.
EngageNY
Transforming the Graph of the Sine Function
Build a solid understanding of trigonometric transformations through exploration. Learners work in teams to analyze the effects of different algebraic components on the graph of a sine function.
Curated OER
Worksheet 1: Algebra and Inequalities
Challenge your students' algebra skills with this activity, which presents students with several types of problem sets, including solving inequalities, graphing, word problems, and a set of algebra problems that may or may not require...
Curated OER
Algebra 1: Simplifying Radicals
After discussing the difference between rational and irrational numbers, the class pratices simplifying, adding, and subtracting radical expressions. They play a game which involves passing around cards until they have matching hands of...
EngageNY
Algebraic Expressions—The Distributive Property
Do your classes truly understand the distributive property? Use a demonstrative lesson to represent the distributive property in various ways. Learners solidify understanding by creating a geometric pattern for distributive property, and...