West Contra Costa Unified School District
Introduction to Logarithms
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...
Curated OER
Domain and Range: Equation
For this algebra worksheet, students state the domain and range of various functions and equations. There are five questions and some are multiple choice questions.
Concord Consortium
In a Triangle
What's in a triangle? Just 180 degrees worth of angles! Young learners use given angle relationships in a triangle to write an algebraic representation. Using a system of equations, they simplify the equation to a linear representation.
Mathematics Vision Project
Module 1: Getting Ready Module
This fabulous resource is a must-have for any algebra teacher's arsenal of lessons. Developing the idea of equations and use of variables from basic physical scenarios, learners gain valuable intuition in the structure and meaning of...
5280 Math
Triangle Area Patterns
Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that helps...
Curated OER
Polynomials and Linear Factors
This algebra activity reviews writing polynomials in standard form from factored form, looks at the graphs of polynomials of degree higher than two, and identifies the zeros of polynomials using the Factor Theorem and Fundamental Theorem...
Curated OER
Model Data with Quadratic Functions
Students model data using quadratic equations. In this algebra lesson, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
Curated OER
Twenty Inverse Function Problems with Graphing
In this function inverse worksheet, students state if the given functions are inverses in eight problems, find the inverse function in eight more problems. Students also find the inverse function and graph the original and inverse...
Ms. Amber Nakamura's Mathematics Website
Algebra Project
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
Illustrative Mathematics
Which Function?
Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...
Curated OER
The Algebra of Summation Notation
In this algebra worksheet, learners use the summation notation correctly as they solve problems. They define the integral of a function and solve problems involving i. There are 14 questions with an answer key.
Illustrative Mathematics
Identifying Even and Odd Functions
Use a worksheet to give learners practice in identifying even and odd functions. The problems on this page are also appropriate for use as assessment items, or you can use them with GeoGebra to interactively present concepts. The task is...
Curated OER
Functions and Their Graphs
Use a instructional activity 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...
Curated OER
Quadratic Equations and Functions
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree. Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few word...
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 students understand this...
Curated OER
Graphical Analysis of a Graphical Analysis of a Function
In this Algebra I/Algebra II worksheet, students analyze the graphs of two functions by determining the functional value from the graph and given the functional value, determine the x value. The one page worksheet contains nine...
EngageNY
The Remainder Theorem
Time to put it all together! Building on the concepts learned in the previous lessons in this series, learners apply the Remainder Theorem to finding zeros of a polynomial function. They graph from a function and write a function from...
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
Integer Exponents
Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...
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 understanding...
EngageNY
Awkward! Who Chose the Number 360, Anyway?
Don't give your classes the third degree. Use radians instead! While working with degrees, learners find that they are not efficient and explore radians as an alternative. They convert between the two measures and use radians with the...
EngageNY
Modeling Riverbeds with Polynomials (part 1)
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.
EngageNY
Comparing Rational Expressions
Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result.
West Contra Costa Unified School District
Average Rate of Change
The concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra lesson. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching notes and lots of...