Worksheet
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Flipped Math

Unit 1 Review: Analyze Graphs and Expressions

For Students 9th - 10th Standards
Get in one last practice. Pupils work through 12 problems and a performance task to review the topics in Unit 1. The problems cover analyzing and modeling with graphs, algebraic properties of equality, and adding, subtracting, and...
Worksheet
Curated OER

Evaluating Functions

For Students 10th - 12th
In this solving functions instructional activity, students compute the answers to given values of a variety of functions. One problem involves absolute value, four involve a complicated exponential value. There are 14 problems in all.
Lesson Plan
Curated OER

Representation of Quadratic Functions

For Teachers 8th - 10th
Students use a table, graph or equation to represent a quadratic function. In this algebra lesson, students model and graph with quadratic function. They become comfortable representing quadratics using different methods.
Lesson Plan
Curated OER

Types of Functions and Composition of Functions

For Teachers 10th - 12th
Algebra II classes solve problems relating to piecewise functions, step functions, and decomposition/composition of functions. They utilize links to work with real world examples. Mr. Pleacher has added humor to the lesson by including...
Worksheet
Curated OER

Exploration 1: Instantaneous Rate of Change Function

For Students 11th - 12th
In this function instructional activity, students read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page instructional activity contains approximately 20 problems.
Lesson Plan
Curated OER

Algebra 1

For Teachers 8th - 10th
Students study the functional relationships of a variety of problems. In this functional relationship activity, students determine the dependent and independent quantities of a given set of data. Students record the data and...
Lesson Plan
Curated OER

Mystery Liquids: Linear Function

For Teachers 9th - 12th
High schoolers determine the linear equations of the density of water and oil by collecting data on the mass of various volumes of each liquid. They construct scatter plots from the data and use these to write the linear equations for...
Lesson Plan
Kenan Fellows

Dinner Party: Using Pattern Trains to Demonstrate Linear Functions

For Teachers 9th - 12th Standards
Nothing fancy here ... just your run-of-the-mill Algebra party! Learners explore the patterns of linear functions while designing seating arrangements for a dinner party. Comparing the number of tables to the perimeter of the combined...
Lesson Plan
West Contra Costa Unified School District

Connecting Graphing and Solving Absolute Value Equations and Functions

For Teachers 10th - 12th Standards
Can you solve an equation graphically? Absolutely! This Algebra II activity makes the connection between solving an absolute value equation and graphing two functions. Graphing absolute value functions is presented through the process of...
Assessment
EngageNY

Mid-Module Assessment Task - Algebra 1 (Module 3)

For Teachers 9th - 10th Standards
Having trouble finding performance task questions? Here is an assessment that uses all high-level thinking questions. It includes questions to assess sequences, linear functions, exponential functions, and increasing/decreasing intervals.
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
EngageNY

Algebra II Module 2: Mid-Module Assessment

For Students 10th - 12th Standards
Time for classes to show what they've learned. Use several tasks to assess understanding of the trigonometric functions, unit circle, radians, and basic trigonometric identities.
Lesson Plan
EngageNY

Graphing the Sine and Cosine Functions

For Students 10th - 12th Standards
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...
Lesson Plan
EngageNY

Interpreting Quadratic Functions from Graphs and Tables

For Students 9th - 10th Standards
Seeing functions in nature is a beautiful part of mathematics by analyzing the motion of a dolphin over time. Then take a look at the value of a stock and maximize the profit of a new toy. Explore the application of quadratics by...
Lesson Plan
EngageNY

Secant and the Co-Functions

For Students 10th - 12th Standards
Turn your class upside down as they explore the reciprocal functions. Scholars use the unit circle to develop the definition of the secant and cosecant functions. They analyze the domain, range, and end behavior of each function.
Lesson Plan
EngageNY

Ferris Wheels—Using Trigonometric Functions to Model Cyclical Behavior

For Students 10th - 12th Standards
Have class members going in circles as they model the path of a Ferris Wheel using trigonometric functions. Building on the previous instructional activity in this series on transformations, learners use trigonometric functions to...
Lesson Plan
EngageNY

Transformations of the Graphs of Logarithmic and Exponential Functions

For Teachers 10th - 12th Standards
Transform your lesson on transformations. Scholars investigate transformations, with particular emphasis on translations and dilations of the graphs of logarithmic and exponential functions. As part of this investigation, they examine...
Unit Plan
Mathematics Vision Project

Structures of Expressions

For Teachers 10th - 12th Standards
This comprehensive unit investigates transformations of quadratics, having learners follow "Optima" through the development and growth of her quilting business. Deftly weaving the story into the mathematical mechanics, the unit gives...
Lesson Plan
EngageNY

The Concept of a Function

For Students 8th Standards
Explore functions with non-constant rates of change. The first installment of a 12-part module teaches young mathematicians about the concept of a function. They investigate instances where functions do not have a constant rate of change.
Lesson Plan
West Contra Costa Unified School District

Comparing Linear and Quadratic Functions

For Teachers 8th - 10th Standards
If a linear function and a quadratic function enter a boxing match, which one would win? Learners first review how to find key features of linear and quadratic functions. Next, they compare key features of pairs of functions.
Lesson Plan
Curated OER

Graphs and Functions

For Teachers 8th - 10th
Use this series of activities to introduce learners to graphing functions. They graph both linear and quadratic equations by hand and with a Graph Sketcher Tool. Several imbedded links and handouts are included in the lesson.
Worksheet
Curated OER

Exponential Functions

For Students 9th - 12th
For this algebra worksheet, students compute 4 functions for a given value. They graph 4 functions, and write equations for two graphs. Each function has an exponent as the variable.
Lesson Plan
Curated OER

The Algebra of Functions

For Teachers 8th - 9th
Eighth and ninth graders add, subtract, multiply and divide functions as directed. Each problem is written in function notation, and the operation is shown in the same way. For example, students may be directed to find (f+g)(x). They are...
Lesson Plan
Curated OER

Scoring Guide for the Algebra 2/Trigonometry Test Sampler

For Teachers 9th - 12th
Students take an Algebra II/Trigonometry sample test.  In this Algebra II/Trigonometry sample sample test instructional activity, students take a sample test for Algebra 2/Trigonometry.  Students solve 39 multiple...