Lesson Plan
Curated OER

Means of Growth

For Teachers 9th - 12th
Students collect and graph data. In this statistics activity, students analyze their plotted data using a scatter plot. They identify lines as having positive, negative or no correlation.
Lesson Plan
Curated OER

Functions

For Teachers 7th - 10th
Students 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

Linear and Quadratic Approximations

For Teachers 11th - 12th
Pupils explore a linear, a parabolic, and a log function.  For this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function.  Pupils examine the three graphs as they compare and...
Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
Lesson Plan
Virginia Department of Education

Curve of Best Fit

For Teachers 10th - 12th Standards
Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...
Lesson Plan
EngageNY

Are All Parabolas Similar?

For Students 10th - 12th Standards
Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.
Lesson Plan
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West Contra Costa Unified School District

Introduction to Inverse Functions

For Students 9th - 12th Standards
Ready to share the beauty of the inverse function with your classes? This algebra II lesson guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made between the three,...
Lesson Plan
Curated OER

Collecting Ball Bounce Data

For Teachers 6th - 12th Standards
Learners investigate quadratic equations as they use a CBR to collect and analyze data regarding a bouncing ball. Pupils explore different methods for determining the equation of the parabolic path including quadratic regression and...
Lesson Plan
Curated OER

The Apple Orchard Problem

For Teachers 11th - 12th
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students plot...
Lesson Plan
Curated OER

Exploring Geometric Constructions of Parabolas

For Teachers 6th - 8th
Learners are introduced to the construction geometrically of parabolas. Using a software program, they identify lines, segments and midpoints. They label the parabolas properties and characteristics and use a formula to determine the...
Lesson Plan
Curated OER

Is There a Limit to Which Side You Can Take?

For Teachers 9th - 12th Standards
Calculus students find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise functions.
Lesson Plan
Curated OER

Complex Roots: A Graphical Solution

For Teachers 9th - 12th Standards
Using their Ti-Nspire to determine the solutions of parabolas, high schoolers explore the concept of complex roots.  Students determine if parabolas have real or complex roots.  High schoolers determine the the axis of symmetry...
Lesson Plan
Curated OER

"A Slice of the Cone"

For Teachers 9th - 11th
Here is a set of lessons that explore conics in a number of different ways. Starting with modeling how a conic is produced by the way a plane cuts the cone, to solving complex word problems, algebra learners progress through a series of...
Lesson Plan
Virginia Department of Education

Functions: Domain, Range, End Behavior, Increasing or Decreasing

For Students 9th - 12th Standards
Examine key features of various functions through exploration. A comprehensive lesson has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...
Lesson Plan
Curated OER

NUMB3RS Activity: Fresh Air and Parabolas

For Teachers 9th - 12th Standards
Explore parabolas and investigate linear and quadratic functions to solve problems symbolically and graphically. Also use parametric functions to display trajectories on a graphing calculator.
Lesson Plan
Curated OER

Logarithmic Functions

For Teachers 9th - 12th
Learners explore the characteristics of logarithmic functions and their relationship to exponential functions. Using the subscriber website Explorelearning.com, pupils observe changes in the input variable and its effect on the graph of...
Lesson Plan
Curated OER

Real-World Linear Programming

For Teachers 9th - 12th Standards
Explore linear programming on a website game. Partners solve a real-world problem by setting up an objective function and a linear inequality. They graph their results on chart paper and also using a calculator before presenting their...
Lesson Plan
Virginia Department of Education

Logarithmic Modeling

For Teachers 10th - 12th
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...
Lesson Plan
Curated OER

Maximizing and Minimizing the Area of Rectangles Given a Fixed Perimeter

For Teachers 6th - 9th
Students explore the realms of measurement. In this math lesson plan, students analyze and solve problems in which rectangles with identical perimeters are compared to maximize or minimize area. This lesson can be extended for algebra,...
Lesson Plan
West Contra Costa Unified School District

Writing Exponential Functions Based on Data

For Students 9th - 12th Standards
Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of...
Unit Plan
Mathematics Vision Project

Module 8: More Functions, More Features

For Teachers 8th - 10th Standards
A piece of this and a piece of that, add domain restrictions and create a piecewise function. Young scholars explore piecewise functions with and without context. Functions include both linear and quadratic parts. The module is the...
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, students explore the relationship between the coefficients of a quadratic function and the shape and position of the parabolic...
Lesson Plan
Curated OER

Mirror Curvature

For Teachers 7th - 9th
Pupils investigate parabolas as the shape of a telescopic mirror.  In this Algebra I/Algebra II lesson, students explore the relationship between the coefficients of a quadratic function and the shape and position of the parabolic...
Lesson Plan
Curated OER

One Square Meter

For Teachers 4th - 8th
Learners explore the concept of a quadrat study. Students select and investigate a site and conduct a quadrat survey. They take measurements, observe the area and analyze their findings.