Handout
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Shoreline Community College

Properties of Logarithmic Functions

For Students 9th - 12th Standards
Use a straightforward approach to understanding logarithmic properties and their role in solving exponential and logarithmic equations to your math class. The lesson begins with an overview of a logarithmic function and its...
Unit Plan
Virginia Tech

Unit Plan: Exponential and Logarithmic Functions

For Teachers 10th - 12th Standards
A six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction...
Lesson Plan
Curated OER

Using Factoring to Solve Equations

For Teachers 11th
Eleventh graders use factoring to solve 44 different problems involving area, intercepts, quadratic equations, and functions.
Assessment
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Illustrative Mathematics

Identifying Quadratic Functions

For Students 9th - 12th Standards
Put your high schoolers to the test and see how well they know their quadratic functions. With excellent thought-provoking questions, learners use what they know about creating quadratic equations based off different pieces of...
Lesson Plan
EngageNY

Modeling with Exponential Functions

For Teachers 10th - 12th Standards
These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.
Assessment
Illustrative Mathematics

Building a General Quadratic Function

For Students 9th - 12th Standards
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Assessment
1
1
Illustrative Mathematics

Graphs of Quadratic Functions

For Students 9th - 12th Standards
Instead of the typical quadratic questioning, explore the function and look at the three different ways a parabola can be written. The main task is when given several clues, young mathematicians must write an equation that matches the...
Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Function Machine 1

For Students 6th - 9th Standards
Challenge your classes to find the pattern of a double function machine. After recording the outputs of both machines, learners identify the pattern and the corresponding function. Both patterns involve adding/subtracting a constant.
Interactive
CK-12 Foundation

Logistic Functions: Fab Fitness

For Students 11th - Higher Ed
Strengthen your understanding of logistic functions. Young mathematicians change the carrying capacity of a logistic function and see how function values change. The function models the number of members in a gym over time.
Lesson Plan
Serendip

DNA Structure, Function and Replication

For Teachers 9th - 12th
Before a cell replicates, its DNA must replicate. Take advantage of a hands-on guided lesson to teach budding scientists how this happens. Using a set of nucleotide cards, learners become the DNA and work to create matching strands...
Interactive
CK-12 Foundation

Infinite Limit Type: Evaluating Limits of Rational Functions

For Students 11th - Higher Ed Standards
Rational functions become less mysterious when you know about limits. Individuals use an interactive to move a rational function on a coordinate plane and to investigate function values for certain x-values. They see how the limit...
Assessment
Illustrative Mathematics

Exploring Sinusoidal Functions

For Students 9th - 12th Standards
What effect does changing a parameter have on the graph of a trigonometric function? Pupils use a Desmos applet to explore the general sine graph. They experiment changing different parameters and record the resulting change of the...
Interactive
CK-12 Foundation

Graphs of Quadratic Functions in Intercept Form: Architectural Bridge Challenge

For Students 9th - 12th Standards
There are architectural parabolas all around us! A creative lesson analyzes the architecture of a parabolic bridge. Learners must manipulate the bridge to satisfy given criteria and then answer questions about the dimensions of the...
Interactive
CK-12 Foundation

Graphs in the Coordinate Plane: Functions on a Cartesian Plane

For Students 6th - 8th
Connect the dots to graph a linear function. Young mathematicians use an interactive to first plot provided points on a coordinate plane. They connect these points with a line and then answer questions about the slope and y-intercept of...
Unit Plan
Mathematics Vision Project

Module 7: Trigonometric Functions, Equations, and Identities

For Students 10th - 12th Standards
Show your class that trigonometric functions have characteristics of their own. A resource explores the features of trigonometric functions. Learners then connect those concepts to inverse trigonometric functions and trigonometric...
Assessment
1
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Illustrative Mathematics

Which Function?

For Students 9th - 12th Standards
Throw some logic into quadratics and see if learners can match a vague graph to multiple equations. Young mathematicians must look at quadrant location, vertices, and intercepts to best match the graph to one or more equations. 
Interactive
Shodor Education Foundation

Two Variable Function Pump

For Students 9th - 12th Standards
Use a function to operate on two variables. Pupils look at operating with complex numbers as a function of two variables. The interactive squares the input and adds a constant to it. Learners visualize the resulting output and its...
Handout
Charleston School District

Tables of Linear Functions

For Students 8th Standards
Don't forget the tables! The previous lessons in this five-part series examined the linear equation and graph relationship. The current lesson adds tables to the mix. At completion, individuals should be able to create a table of values,...
Interactive
CK-12 Foundation

Sine, Cosine, and Tangent Functions: Lighthouse

For Students 9th - 12th Standards
How far is that boat from the lighthouse? Scholars create diagrams to represent a scenario given the angle of depreciation from a lighthouse to a boat. Learners apply the basic trigonometric functions to find various distances...
Interactive
CK-12 Foundation

Trigonometric Functions and Angles of Rotation: The Triangle in the Circle

For Students 10th - 12th Standards
Go around the unit circle and create triangles. Pupils move a point around the unit circles to visualize the triangle associated with the angle in standard position. The three main trigonometric functions are defined in terms of the legs...
Interactive
CK-12 Foundation

Functions that Describe Situations: Manny's Mang-o-gurt

For Students 6th - 8th Standards
How much does it cost to add more mangos? An interactive allows users to see how the price of frozen yogurt changes based on the number of scoops and the number of slices of mango. Learners then answer a set of challenge questions...
Lesson Plan
Curated OER

Heart Rate Monitoring

For Teachers 7th - 9th Standards
Algebra learners like this resource because it is easy to understand and it relates to their lives. Whether you are starting a new workout routine, or just climbing the stairs, your heart rate increases and decreases throughout the day....
Lesson Plan
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Curated OER

Equal Differences Over Equal Intervals 2

For Teachers 9th - 12th Standards
Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope and...
Interactive
CK-12 Foundation

Basic Trigonometric Functions: Ladder Length

For Students 9th - 12th Standards
Climb the ladder to trigonometry. The interactive introduces trigonometric ratios and finding lengths of sides of right triangles created by a ladder and a building. Learners use the interactive to create triangles by moving the top of...

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