Algebraic Function Teacher Resources

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CK-12 Foundation

Exponential Decay: Cool Sunglasses

For Students 10th - 12th Standards
Who wouldn't want to wear four pairs of sunglasses? Each pair of sunglasses reduces the percent of incoming light by one-half. An interactive tutorial helps young mathematicians build a graph that models this scenario. They...
Worksheet
Curated OER

Chapter 10-Relations and Functions, Practice Test

For Students 8th - 10th
In this intermediate algebra worksheet, 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.
Worksheet
Curated OER

Exponential and Log Functions

For Students 11th - 12th
In this algebra worksheet, students solve 14 equations involving exponential and log functions. This would be a great quiz or homework sheet.
Lesson Plan
Curated OER

Algebra

For Teachers 3rd - 5th
Students practice using a function machine online to help them with functions. They examine the relationship between input and output. They discover the rule for the change when completing these types of problems.
Lesson Plan
Curated OER

Math Journal: Functions and Coordinate Geometry

For Teachers 5th
Fifth graders examine the many uses of coordinate grids. In this graphing lesson, 5th graders write data driven equations, discuss the x and y-axis, and determine if using 2 or 3 ordered pairs is better.  Students complete several...
Activity
Ms. Amber Nakamura's Mathematics Website

Algebra Project

For Teachers 9th - 12th Standards
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
Worksheet
Curated OER

The Algebra of Summation Notation

For Students 9th - 11th
In this algebra worksheet, students use the summation notation correctly as they solve problems. They define the integral of a function and solve problems involving i. There are 14 questions with an answer key.
Activity
Illustrative Mathematics

Identifying Even and Odd Functions

For Teachers 8th - 12th Standards
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...
Activity
Illustrative Mathematics

Which Function?

For Teachers 8th - 12th Standards
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...
Lesson Plan
Illustrative Mathematics

Bike Race

For Teachers 7th - 9th Standards
A graph not only tells us who won the bike race, but also what happened during the race. Use this resource to help learners understand graphs. The commentary suggests waiting until the end of the year to introduce this topic, but why...
Lesson Plan
Curated OER

Who Shares My Function? Linear with All Representations

For Teachers 10th - 11th
Students investigate and interpret functions and graphs. In this algebra lesson, students analyze equations, graphs and word problems to differentiate between quadratic functions and linear equations. They create a poster...
Lesson Plan
Curated OER

Who Shares My Function?

For Teachers 10th - 11th
Students differentiate between linear and quadratic functions. In this algebra activity, students write equations of graphs and graph a function from an equation. They also move the graph around on the coordinate plane.    
Lesson Plan
Curated OER

Quadratic Equations and Functions

For Teachers 8th - 11th
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...
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

Adding and Subtracting Algebraic Expressions (Combining Like Terms)

For Teachers 6th - 7th
Everyone loves math when it includes food! This lesson tries to take the notion of combining like terms in algebra and comparing it to sorting apples and oranges. It takes a step-by-step approach to helping students understand this...
Lesson Plan
EngageNY

Analyzing a Graph

For Teachers 9th - 10th Standards
Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents. 
Lesson Plan
EngageNY

Modeling Riverbeds with Polynomials (part 2)

For Students 10th - 12th Standards
Examine the power of technology while modeling with polynomial functions. Using the website wolfram alpha, learners develop a polynomial function to model the shape of a riverbed. Ultimately, they determine the flow rate through the river.
Lesson Plan
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West Contra Costa Unified School District

Introduction to Logarithms

For Teachers 9th - 12th Standards
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...
Lesson Plan
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EngageNY

The Remainder Theorem

For Students 10th - 12th Standards
Time to put it all together! Building on the concepts learned in the previous lessons in this series, learners apply the Remainder Theorem to finding zeros of a polynomial function. They graph from a function and write a function from...
Lesson Plan
EngageNY

Modeling with Polynomials—An Introduction (part 2)

For Students 10th - 12th Standards
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
Lesson Plan
EngageNY

Integer Exponents

For Teachers 9th - 12th Standards
Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...
Lesson Plan
EngageNY

Modeling Riverbeds with Polynomials (part 1)

For Students 10th - 12th Standards
Many things in life take the shape of a polynomial curve. Learners design a polynomial function to model a riverbed. Using different strategies, they find the flow rate through the river.
Lesson Plan
EngageNY

Awkward! Who Chose the Number 360, Anyway?

For Students 10th - 12th Standards
Don't give your classes the third degree. Use radians instead! While working with degrees, learners find that they are not efficient and explore radians as an alternative. They convert between the two measures and use radians with the...
Lesson Plan
EngageNY

Basic Trigonometric Identities from Graphs

For Students 10th - 12th Standards
Have young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their...

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