Virginia Department of Education
Functions: Domain, Range, End Behavior, Increasing or Decreasing
Examine key features of various functions through exploration. A comprehensive lesson plan has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...
EngageNY
Ferris Wheels—Using Trigonometric Functions to Model Cyclical Behavior
Have class members going in circles as they model the path of a Ferris Wheel using trigonometric functions. Building on the previous lesson plan in this series on transformations, learners use trigonometric functions to model wheels...
EngageNY
Graphing Factored Polynomials
Young mathematicians graph polynomials using the factored form. As they apply all positive leading coefficients, pupils demonstrate the relationship between the factors and the zeros of the graph.
EngageNY
Ferris Wheels—Tracking the Height of a Passenger Car
Watch your pupils go round and round as they explore periodic behavior. Learners graph the height of a Ferris wheel over time. They repeat the process with Ferris wheels of different diameters.
EngageNY
The Motion of the Moon, Sun, and Stars—Motivating Mathematics
What does math have to do with the behavior of the earth and sun? Learn how the movement of celestial bodies has influenced the development of trigonometry. Scholars connects the details in mathematics to their...
Curated OER
Graphical Analysis
Get out your TI-nspire graphing calculator and explore polynomials. Learners determine where a given polynomial are increasing or decreasing, find maximums, minimums, and zeros of polynomials, and discuss end behavior of polynomials....
Alabama Learning Exchange
Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine
Students explore the concept of sine and cosine. In this sine and cosine instructional activity, students work in groups to graph sine and cosine functions. Students examine how coefficients in various parts of each parent...
Mathematics Vision Project
Module 4: Rational Functions
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
Mathematics Vision Project
Module 6: Trigonometric Functions
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
EngageNY
Graphing the Sine and Cosine Functions
Doing is more effective than watching. Learners use spaghetti to discover the relationship between the unit circle and the graph of the sine and cosine functions. As they measure lengths on the unit circle and transfer them to a...
Federal Reserve Bank
Your Budget Plan
What do Whoosh and Jet Stream have in common? They are both characters in a fantastic game designed to help students identify various positive and negative spending behaviors. Through an engaging activity, worksheets, and...
Curated OER
Lesson 56
Sixth graders practice Least Common Multiple in fractions. In this fraction lesson, 6th graders look at two different fractions and find a common denominator. They sing a song to memorize mean, median, and mode.
EngageNY
Translating Graphs of Functions
If you know one, you know them all! Parent functions all handle translations the same. This instructional activity examines the quadratic, absolute value, and square root functions. Pupils discover the similarities in the behavior of the...
EngageNY
Exploring the Symmetry in Graphs of Quadratic Functions
Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The instructional activity begins with the vocabulary of a quadratic...
Captain Planet Foundation
Fall into Healthy Shapes
Kindergartners identify geometric shapes by planting a fall garden. They start their seeds in containers that have different shapes, and keep track of their plants based on those shapes. This brilliantly designed and incredibly thorough...
Curated OER
Playground Games
Students compete in playground games in order to review velocity and wave behavior in real life situations. They demonstrate understanding by calculating velocity in their "Playground Games" packet.
Alabama Learning Exchange
There's Gold in Them There Hills
Need to build a laser fence on Mars? In this cute maximizing-area lesson, young explorers pretend to be prospectors on Mars and must determine the best way to use 20 meters of fencing in order to maximize their area. In addition,...
Visa
Making Spending Decisions
By role playing real-world experiences, such as purchasing snacks and grocery/toy store shopping, your youngsters will begin to develop an understanding of how to make decisions and choose between alternatives. This is the first...
Curated OER
Particle Motion 2
Students analyze the motion of a particle along a straight line. In this precalculus instructional activity, students use the TI to analyze the position of a function as they graph and visualise the function. They calculate the...
EngageNY
Multiplication of Numbers in Exponential Form
Develop a solid understanding of multiplication and division properties of exponents. Individuals expand exponential terms to discover the patterns and create the properties in the second installment in a series of 15. The activity...
West Contra Costa Unified School District
Key Features of Graphs
The key is ... After a day of instruction on key features of graphs, groups create a poster and presentation on the key features of their given function graph. The resource provides an extension activity of "telephone" using...
Curated OER
Exploring Power Functions 1
Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.
Curated OER
Definite Integral
Learners investigate the intervals represented by a function in this calculus instructional activity. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to...
Illustrative Mathematics
Logistic Growth Model, Abstract Version
Here learners get to flex some serious algebraic muscles through an investigation of logistic growth. The properties of the constant terms in the logistic growth formula are unraveled in a short but content-dense...