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Unit Plan
Mathematics Vision Project

Module 6: Trigonometric Functions

For Students 9th - 12th Standards
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...
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Lesson Plan
02 x 02 Worksheets

Inverse Functions

For Students 10th - 12th Standards
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive lesson emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the inverse functions.
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Lesson Plan
Mathalicious

Domino Effect

For Teachers 8th - 9th Standards
Carryout the instructional activity to determine the cost of pizza toppings from a Domino's Pizza® website while creating a linear model. Learners look through real data—and even create their own pizza—to determine the cost of each...
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Worksheet
Mt. San Antonio Collage

Synthetic Division and Zeros of Polynomial Functions

For Students 9th - 12th Standards
More than just a learning exercise, this guide provides the description of many of the polynomials theorems to assist the learners. Starting with synthetic division, class members are then guided through the remainder theorem and linear...
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Lesson Plan
EngageNY

Interpreting Rate of Change and Initial Value

For Teachers 8th Standards
Building on knowledge from the previous lesson, the second lesson in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate how slope expresses the...
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Lesson Plan
West Contra Costa Unified School District

Average Rate of Change

For Teachers 8th - 10th Standards
Learners investigate average rates of change for linear functions and connect the concept to slope. They then determine average rates of change in quadratic and exponential functions.
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Activity
101 Questions

Styrofoam Cups

For Teachers 8th - 12th Standards
How many cups does it take to reach the top? Learners attempt to answer this through a series of questions. They collect dimension information and apply it to creating a function. The lesson encourages various solution methods and...
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Lesson Plan
Virginia Department of Education

Transformation Investigation

For Teachers 8th - 10th Standards
Graph it! Investigate transformations with a graphing calculator. Pupils graph sets of linear functions on the same set of axes. They determine how changes in the equation of a linear function result in changes in the graph.
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Unit Plan
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Mathematics Vision Project

Module 3: Polynomial Functions

For Students 9th - 12th Standards
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving. 
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Lesson Plan
02 x 02 Worksheets

Inverse Variation

For Teachers 8th - 10th Standards
Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...
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Handout
Charleston School District

Contextualizing Function Qualities

For Students 8th Standards
Let the graph tell the story! Adding context to graphs allows learners to analyze the key features of the function. They make conclusions about the situation based on the areas the graph is increasing, decreasing, or has a maximum or...
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Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 9)

For Teachers 9th - 12th Standards
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
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Activity
Howard County Schools

To Babysit or Not to Babysit?

For Teachers 9th - 11th Standards
Would you work for a penny today? Use this activity to highlight the pattern of increase in an exponential function. Scholars compare two options of being paid: one linear and one exponential. Depending on the number of days worked, they...
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Activity
5280 Math

Step by Step

For Teachers 9th - 12th Standards
One step at a time! A seemingly linear relationship becomes an entirely new type of function. Young scholars build their understanding of step functions by completing a three-stage activity that incorporates multiple representations of...
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Unit Plan
Mathematics Vision Project

Quadratic Functions

For Teachers 10th - 12th Standards
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations, then apply these...
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Activity
Noyce Foundation

Digging Dinosaurs

For Students K - 12th Standards
Build a function to solve problems rooted in archeology. A comprehensive set of five lessons presents problems requiring individuals to use functions. The initial lesson asks learners to find the possible number of dinosaurs from a...
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Lesson Plan
EngageNY

Linear Transformations of Lines

For Teachers 11th - 12th Standards
Discover the extension of parametric equations to model linear transformations. Scholars first write parametric equations to model lines through two points. They then find the parametric equations that represent a linear transformation.
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Lesson Plan
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EngageNY

Solving General Systems of Linear Equations

For Teachers 11th - 12th Standards
Examine the usefulness of matrices when solving linear systems of higher dimensions. The lesson asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the systems and apply...
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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...
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Lesson Plan
EngageNY

The Height and Co-Height Functions of a Ferris Wheel

For Students 10th - 12th Standards
Show learners the power of mathematics as they model real-life designs. Pupils graph a periodic function by comparing the degree of rotation to the height of a ferris wheel. 
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Lesson Plan
Curated OER

Triangles Inscribed in a Circle

For Teachers 9th - 12th Standards
Are you tired of answers without understanding? Learners can give a correct response, but do they really understand the concept? Have young mathematicians think deeper about linear functions, angles, and formulas in algebra. Learners are...
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Lesson Plan
EngageNY

Analyzing a Data Set

For Teachers 9th - 10th Standards
Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work to...
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Lesson Plan
EngageNY

Modeling an Invasive Species Population

For Students 9th - 10th Standards
Context makes everything better! Groups use real data to create models and make predictions. Classmates compare an exponential model to a linear model, then consider the real-life implications. 
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Unit Plan
EngageNY

Relationships Between Quantities and Reasoning with Equations and Their Graphs

For Teachers 6th - 10th Standards
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...

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