Lesson Plan
Curated OER

Functions and the Vertical Line Test

For Teachers 8th - 12th
Students explore the concept of functions. For this function lesson, students determine if the graph is a function by using the vertical line test. Students use an applet to explore the vertical line test on a variety of graphs.
Worksheet
Curated OER

Quadratic Equations

For Students 9th - 12th
In this quadratic equations instructional activity, students answer 15 questions about quadratic equations.  Students complete the square, use the quadratic formula, write equations in vertex form, and solve quadratic equations by...
Lesson Plan
Curated OER

Iterating the Function and Complex Numbers

For Teachers 7th - 10th
Young scholars identify the end behavior of polynomial graphs. In this algebra instructional activity, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of...
Lesson Plan
Curated OER

Graphing Exponential And Logarithmic Functions

For Teachers 10th - 12th
In this logarithmic function worksheet, students solve and graph logarithmic and exponential functions. Variables are included in the exponential and logarithmic functions. There are 18 problems to solve on this two-page worksheet. Graph...
Lesson Plan
Curated OER

Lesson 4: Factoring to Solve Quadratic Equations

For Teachers 8th - 12th
Students solve quadratic problems by factoring. Using a specified website, or an interactive CD-ROM, students graph quadratic equations. Together, on the computer, students work example problems. Students observe the link between...
Worksheet
Curated OER

Math 32 Worksheet: Quadratic Equations

For Students 9th - 12th
In this quadratic equations worksheet, high schoolers solve 12 short-answer problems.  Students find real and irrational solutions to given functions.  High schoolers raise irrational numbers to irrational powers.
Lesson Plan
Curated OER

Functions

For Teachers 7th - 10th
Young scholars explore a variety of functions. They recognize and describe functions and use linear functions to describe situations. Students find the domain and range of linear functions and graph rational expressions.
Lesson Plan
Curated OER

Composition of Functions

For Teachers 9th - 12th
Learners 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,...
Worksheet
Curated OER

Algebra II Review: Exponential Functions and Logarithms

For Students 9th - 11th
In this Algebra II review:  exponential functions and logarithms worksheet, students solve 19 problems, including making graphs, simplifying and evaluating.
Worksheet
Curated OER

Unit 11 - Worksheet 3 - Function

For Students 9th - 10th
In this function instructional activity, students observe graphs and determine whether the graph is a function based on a given table. They identify graphs of functions. This two-page instructional activity contains 12 problems.
Worksheet
Curated OER

Inverse of a Function

For Students 10th
For this inverse of function worksheet, 10th graders solve and graph 10 different problems that include graphically represented inverse functions. First, they solve each of the problems involving graphs and their inverses. Then, students...
Lesson Plan
Curated OER

Solving Nonlinear Systems of Equations

For Teachers 10th - 11th
In this system of equations worksheet, learners solve nonlinear systems of equations using the substitution method. An example of how to solve is given prior to the assignment. Twenty problems are available on this two-page worksheet.
Lesson Plan
Curated OER

Properties of Parabolas

For Teachers 9th - 12th Standards
Have your learners investigate parabolas. In this Algebra II lesson, students explore the basic definition of a parabola by using Cabri Jr. to create a parabola given the focus and directrix.  Students interpret the equation for a...
Activity
Illustrative Mathematics

Zeroes and factorization of a quadratic polynomial I

For Teachers 10th - 12th Standards
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
Worksheet
Curated OER

Functions and Their Graphs

For Students 8th - 11th Standards
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...
Lesson Plan
Curated OER

SkyHighScrapers

For Teachers 8th - 12th
Pupils investigate quadratic functions.  In this Algebra I/Algebra II instructional activity, students determine the equation of a quadratic function that closely matches a set of points.  Pupils investigate the necessary...
Lesson Plan
Curated OER

Telescope #2

For Teachers 8th - 12th
Students investigate parabolas as the shape of a telescopic lens.  In this Algebra I/Algebra II lesson plan, students explore the relationship between the coefficients of a quadratic function and the shape and position of the...
Lesson Plan
Curated OER

Find Parabolas through Two Points

For Teachers 9th - 12th Standards
Your learners will write quadratic functions whose graphs include specific points and explore how these graphs are related to each other.
Activity
Illustrative Mathematics

Throwing Baseballs

For Teachers 8th - 12th Standards
This is a wonderful exercise for learners to apply their critical thinking skills along with their knowledge of quadratic functions and parabolas. Young mathematicians investigate a real-world scenario about the height a baseball reaches...
Worksheet
HHS Math

Group Worksheet 1F - Graphing and Finding Zero

For Students 9th - 11th Standards
Graph quadratic functions and find the zero in this worksheet. Twelve problems range from those that could be quickly factored and graphed, to those that require use of the quadratic formula and their graphs approximated. Solutions...
Worksheet
Curated OER

Graphs and Equations

For Students 10th - 12th
For this graphs and equations worksheet, learners solve and complete 5 various types of problems. First, they complete a table of values for a given quadratic function. Then, students use the graph to find an estimate for the solutions...
Interactive
Desmos

Desmos Graphing Calculator

For Students 9th - Higher Ed Standards
They say a graph is worth a thousand points. The interactive allows users to graph a wide variety of functions and equations. Using the included keyboard or typing directly into the list, learners determine the graph of a function....
Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Horizontal Translations

For Students 10th - 12th Standards
Find out what causes a function to slide. Pupils move a function along the x-axis and see the resulting change in its equation. Scholars determine the effects that the translation has on the intercepts, domain, and range of the function.
Activity
101 Questions

Blocks

For Students 9th - 12th Standards
Block play can teach children about gravity, physics, and spatial relationships. A hands-on lesson incorporates these concepts with an activity in which learners examine the relationship between levels in a pile. Scholars begin to...

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