Illustrative Mathematics
Foxes and Rabbits 1
Here is where algebra learners begin to understand that a function is a rule, and for each input there is exactly one output. The commentary gets bogged down with information about the predator-prey relationship between the fox and...
Curated OER
Adding and Subtracting Algebraic Expressions (Combining Like Terms)
Everyone loves math when it includes food! This lesson tries to take the notion of combining like terms in algebra and comparing it to sorting apples and oranges. It takes a step-by-step approach to helping young scholars understand this...
Curated OER
Functions and Their Graphs
Use a worksheet to go over the basic concepts of relations and functions. Included are clear definitions and examples of relations, domain and range, and functions and the vertical line test. However, the problems are pretty...
EngageNY
Modeling with Polynomials—An Introduction (part 2)
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
EngageNY
Analyzing a Graph
Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents.
EngageNY
Basic Trigonometric Identities from Graphs
Have young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their...
West Contra Costa Unified School District
Multiple Representations of Equations
class members first work through finding the equation, table of values, graph, and key features of a linear function expressed verbally. Individuals then work through several more problems given different representations.
Curated OER
Triangles Inscribed in a Circle
Are you tired of answers without understanding? Learners can give a correct response, but do they really understand the concept? Have young mathematicians think deeper about linear functions, angles, and formulas in algebra....
Curated OER
Families of Functions
Learners use sliders to change the parameters of functions and examine how shifting parameters affects a graph. They identify the parameters of functions, find vertical and horizontal stretches, then calculate the scale factor and other...
Curated OER
Comparing Linear and Exponential Functions
Teach your class how to differentiate between linear and exponential functions. They use exponential properties to solve problems, graph them using the TI-Navigator, and make comparisons.
Curated OER
Creating Open-ended Problems in Algebra
Creating open-ended algebra problems can help students develop the critical thinking skills they need.
Curated OER
Writing Equations from a Table
Learners graph and evaluate equations. In this algebra lesson, students are given pairs of coordinates and asked to write an equation representing the values. They are also given values to plug in to their equations and evaluate.
Curated OER
Algebra and Patterns
In this algebra and patterns practice worksheet, students sharpen their problem solving skills as they solve 6 story problems.
Curated OER
Profitable Soda Stand
Am I making any money? Help learners determine if their fictitious soda stand is turning a profit. They graph linear equations using the slope and y-intercept and identify the best price to use to sell soda. They identify the domain and...
National Security Agency
Systems of Equations and Inequalities
High school classes can use manipulatives too! Offer hands-on, interactive lessons that venture away from the typical day in your algebra class. Young mathematicians will be involved in collaborative learning, visual...
Curated OER
The Customers
Exploring functions not represented by an expression is this task's secret. As your learners organize business customers in a database, they explore the definition of what it is to be a function.
Curated OER
The Canoe Trip, Variation 2
The behavior of a rational function near a vertical asymptote is the focus around this trip up a river. Specifically, numerical and graphical understanding is studied. The canoe context pushes the variables as numbers, rather than as...
West Contra Costa Unified School District
Factoring Quadratic Expressions
Factor in different strategies in a lesson plan for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they...
Curated OER
Applying Properties to Variables
Eighth graders combine like terms in this properties of variables lesson. Using named items (stars, moons and hearts), they combine like terms using variables. They use the distributive property to combine like terms. Finally, they write...
Curated OER
Functions and Their Graphs.
Students solve equations and label it as a function or not. In this algebra lesson, students make a table of values and graph their equation. They identify the domain and range of each graph.
Curated OER
Graphing Radical Functions-A Graphic Introduction
In this Algebra II worksheet, 11th graders graph root functions and analyze the domain, range, intercepts, maximum and minimum values, and end behavior. students use that information to transform the graphs of root...
Curated OER
Graphing Nonlinear Equations
Learners graph non-linear equations. In this algebra instructional activity, students investigate different polynomial functions and their shapes. They identify the different powers and zeros.
Curated OER
Where Should They Hold the Fundraising Party?
Pupils explore financial applications of linear functions. As they investigate the steps necessary to plan a fundraising event, learners explore minimizing cost and maximizing profits.
Curated OER
Linear and Exponential Models
Students investigate the differences between linear and exponential models. In this linear and exponential models instructional activity, students make a table of given data. Students determine if the data is linear or...