Curated OER
Simplifying Functions
In this simplifying functions learning exercise, 11th graders solve and complete 11 different types of problems. First, they simplify each function as necessary. Then, students state the vertical asymptotes, holes, horizontal asymptotes,...
Curated OER
Challenge Sheet 3: Average Value of a Function
In this average value worksheet, learners determine the average value of functions, sketch graphs of continuous intervals, evaluate integrals, find the average value of a function and convert limits to a definite integral. This one-page...
Curated OER
Discussion Sheet 1: Domain & Range of a Function
In this domain and range activity, students solve inequalities, determine the domain and range for a function, identify the limits, and sketch graphs of a function. This two-page activity contains nine multi-step problems.
Curated OER
Worksheet 2: Evaluating Functions
In this function activity, students evaluate sums, estimate the area of the region between graphs, estimate the volume of a hemisphere, and use subintervals and the limit definition integrals to evaluate functions. This two page activity...
Curated OER
Graphs of Polynomial Functions
In this polynomial functions worksheet, 9th graders solve and complete 11 different problems. First, they write the given quadratic equations in vertex form. Then, students state the x- and y-coordinate for each polynomial function.
Curated OER
Chapter 10-Relations and Functions, Practice Test
In this intermediate algebra learning exercise, students solve 20 multiple choice problems. Problems range from finding the domain and range of a function to identifying the graph of an inverse of a function.
Curated OER
Worksheet 1 - Polynomials, Functions, Rates
For this polynomial worksheet, students read an assortment of story problems, determine the necessary information, and write an equation to solve the problem. Problems consist of topics dealing with area, factoring polynomials,...
Curated OER
Logarithmic Functions as Inverses
In this algebra activity, students solve logarithmic functions. They graph their solution using log properties. There are 6 questions.
Illustrative Mathematics
Graphs of Power Functions
This activity consists of three exercises in which learners sketch the graphs of various power functions on the same axes. They use their sketches to make comparisons and observations which lead to generalizations about the graphs of...
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
Graphing Quadratic Equations
Review the form of a quadratic function, and the parabola it creates. Continue on with the whole group to work through a mini-lab, practicing how to graph quadratic equations with one variable. The goal of this activity is for the group...
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...
Illustrative Mathematics
Interpreting the graph
The purpose of this exercise is to give practice in reading information about a function from its graph. Learners are given graphs of two functions on the same axes. The task is to locate and label various key points on the graph that...
Illustrative Mathematics
Zeroes and factorization of a non polynomial function
Functions behaving badly: the squaring function and the absolute value function are both zero at x=0. Yet when you divide each by x, different things happen. Here, your class will explore each scenario as a means to adding depth to their...
Curated OER
Rounding Decimal Numbers: Graphing Calculator Activity
In this math learning exercise, students use graphing calculators to complete a total of three problems with rounding decimal numbers. Diagrams are included in student instructions.
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
Who Shares My Function? Linear with All Representations
Students investigate and interpret functions and graphs. In this algebra lesson plan, students analyze equations, graphs and word problems to differentiate between quadratic functions and linear equations. They create a poster with their...
Curated OER
Slope, Intercepts, and Graphing a Line
In this intercepts and slope worksheet, young scholars find the slope and/or the x and y-intercepts in fifty-three problems. Students also graph lines using the x and y-intercepts.
Shodor Education Foundation
Graphing and the Coordinate Plane
Ready to introduce your class to the coordinate plane? This website includes a detailed lesson plan that includes two interactive games to help learners practice graphing ordered pairs. The scripted discussion is a little cheesy and a...
Curated OER
Wind-Up Car
Students produce an equation from a graph, based on an engineering-context story provided. In this production of equations lesson, students write an equation given the graph and description. Students also describe what the y-intercept...
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
Square-Root Functions and Radical Equations
This practice instructional activity includes simple radical equations, and some quadratic equations that can be solved by the square root method. There is good practice here in checking the solutions, and a few graphing problems.
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
EngageNY
Four Interesting Transformations of Functions (Part 3)
Continue the study of transformations with an examination of horizontal stretches, shrinks, and reflections. Individuals use the same process used in parts one and two of this series to examine horizontal changes. The resource also...
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