Curated OER
Composition of Functions
Students solve problems using the composition of functions. In this algebra lesson, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition, subtraction,...
Curated OER
What's My Rule? Simple Linear Functions
Young scholars investigate simple linear functions by trying to guess a function rule from inputs and outputs. They write the function rule in algebraic form.
Curated OER
Algebra II Calculator Lab
In this quadratic functions worksheet, students use their graphing calculators to solve the 9 problems on the page. The questions ask students to graph functions, compare graphs, find the vertex and axis of symmetry and more.
Curated OER
Introduction to Inverse Functions
Pupils investigate patterns of inverse functions. For this algebra lesson, students represent functions with the calculator and on paper. They analyze their data and draw conclusions.
Curated OER
Basic Ideas of Functions
In this Algebra I/Algebra II worksheet, young scholars determine whether or not a relation is a function. Students determine the domain of a function and express the answer in interval notation. The three page worksheet...
Curated OER
Graphing Linear Functions Three
In this algebra worksheet, students are given an equation and asked to create a table of values and graph their equation. The other method they use for graphing is the slope intercept method, by solving the equation for y and identifying...
Curated OER
Polynomial Functions
Learners explore polynomial functions. In this Algebra II lesson, students explore graphs of polynomial functions as classify the functions as linear, quadratic, cubic, or quartic. Learners determine the regression equation...
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Rational Functions and Their Graphs
In this Algebra II worksheet, 11th graders examine the graphs of rational functions, identifying the points of discontinuity and the vertical and horizontal asymptotes. The three page worksheet contains explanation of topic,...
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Reciprocals of Quadratic Functions
Eleventh graders investigate inverse functions. In this Algebra II lesson, 11th graders use their prior knowledge of linear, exponential,and quadratic functions to create a graph of an equation they have never seen before.
Curated OER
Math Journal: Functions and Coordinate Geometry
Fifth graders examine the many uses of coordinate grids. In this graphing lesson, 5th graders write data driven equations, discuss the x and y-axis, and determine if using 2 or 3 ordered pairs is better. Students complete several...
Curated OER
Graphing Situations without a Table
Students graph a line without making a table of vales. In this algebra lesson, students are given a verbal scenario and asked to write a linear functions representing the scenario and graph it on a number line without making a table....
Curated OER
Investigation-How Many Toothpicks?
Seventh graders use toothpicks to investigate a series of designs and identify patterns. Data is organized and analyzed using tables and graphs, and students make generalizations using algebraic expressions.
Curated OER
Long Distance Phone Plans
In this long distance phone plane worksheet, students compare various phone plans and determine which long distance plan has the greatest savings. Students support their answers visually through the use of tables and graphs. They write...
Curated OER
Count on Me
Fourth graders use inductive reasoning to find algebraic patterns in geometric figures. They use technology (i.e., calculators, computers) and manipulatives to discover number patterns involving geometric concepts. They solve concrete...
Curated OER
Impossible Graphs
Students practice plotting functions on the Cartesian coordinate plane while participating in a discussion about the Possible Or Not worksheet/activity. Students also use the Impossible Graphs worksheet to practice reading a graph,...
Curated OER
Using Parallel Axes To Discover Mathematical Interconnections
In this math worksheet, students graph the functions on parallel axes and observe the location of the slope point in relation to the x and y axes.
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...
EngageNY
Restricting the Domain
But what if the function cannot be inverted? Pupils continue to work with inverses of functions using tables, graphs, and algebraic equations. They restrict the domain of non-invertible functions to make them invertible. Using...
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
Who Shares My Function?
Students differentiate between linear and quadratic functions. In this algebra lesson, students write equations of graphs and graph a function from an equation. They also move the graph around on the coordinate plane.
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.