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Lesson Plan
Curated OER

Exploring Transformations

For Teachers 9th - 10th
Learners explore what happens when geometric figures are transformed on the coordinate plane. They work in pairs, moving geometric shapes in the plane, and formalize their rules as functions.
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Lesson Plan
Curated OER

Algebra Nomograph

For Teachers 9th - 12th Standards
Investigation of a nomograph teaches students to determine the rule of a function by examining the input and output values.  Students use a nomograph on their Ti-Nspire to determine the function rule.  Students make a scatter plot of...
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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 instructional activity, 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...
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Handout
Del Mar College

Quick Reference Card

For Students 9th - 12th Standards
A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus. 
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Lesson Plan
Curated OER

Functions Made Easy

For Teachers 6th - 8th
Students explore concept of functions as relationships, as machines, as equations, and as graphs.
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Assessment
1
1
Balanced Assessment

Local and Global Behavior

For Students 11th - 12th Standards
Create rules for numerical sequences. Pupils develop local rules and recursive rules for number sequences. The sequences are linear, quadratic, and cubic in nature. Scholars find that some local rules do not work, no matter where in the...
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Handout
Chapman University

Proving the Chain Rule

For Teachers 10th - Higher Ed
Understanding how our calculus derivative formulas were derived, connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will also develop a deeper appreciation for the short cuts used to find a...
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Lesson Plan
Curated OER

Parabolas and Inverse Functions

For Teachers 9th - 12th Standards
Your Algebra learners will explore what equations are functions or not functions and how to alter the domain to produce a possibility for the relations being a function with a limitted domain.
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PPT
Curated OER

Calculus 10.2 day 2 - Vector Valued Functions

For Teachers 11th - 12th
Looking for a lesson on vectors?  Here is a PowerPoint that has six examples for finding velocity, acceleration, speed and direction of motion. One of the examples demonstrates the use of the TI-89 Graphing Calculator to solve a problem.
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Lesson Plan
Willow Tree

Linear Relationships

For Students 8th - 11th Standards
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
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Worksheet
Curated OER

Differentiating Special Functions

For Students 11th - 12th
In this differentiating special functions worksheet, students solve and complete 5 various types of problems. First, they differentiate each of the given functions. Then, students complete the table using a calculator and plot the points...
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Worksheet
Curated OER

Functions and Fraction Combination

For Students 11th
In this algebra worksheet, 11th graders factor polynomials and find the roots of the equations. They write the rules representing the equation and how to solve it. There are 9 questions.
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Lesson Plan
Curated OER

In and Out Function Problems

For Teachers 3rd
Third graders solve In and Out function problems. They analyze a chart and discuss the steps to solving the functions, and discuss the patterns and complete the charts. Students then create a book of repeating patterns using magazines,...
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Lesson Plan
Curated OER

Graphing Linear Functions

For Teachers 7th
Seventh graders identify the use of a function.They are asked to describe the input and output of a function. Students also identify different aspects of the coordinate system and represent functions in a visual graph.
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Lesson Plan
West Contra Costa Unified School District

Derivative Theorems

For Teachers 11th - Higher Ed
Put all of the derivative rules into one basket. The lesson stars with warm-up exercises that provide a connection to previously learned concepts. The lesson plan uses the different derivative theorems to calculate a variety of...
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Lesson Plan
Virginia Department of Education

Square Patios

For Students 8th - 10th Standards
Build a patio from toothpicks and marshmallows to analyze functions! Learners look for patterns in the data as they create different size patios. As they discover patterns, they make connections between the different representations of...
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Assessment
Concord Consortium

Adding the Sines

For Students 11th - 12th Standards
It's a sign! Scholars analyze sine functions for patterns in their periods. The exploration advances beyond a simple function to the combination of two functions with even and odd coefficients. Their goal is to find a pattern between the...
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Assessment
Inside Mathematics

Picking Apples

For Teachers 8th Standards
Getting the best pick of the apples depends on where to pick. The short assessment presents a situation in which class members must analyze a real-world situation to determine the cost of picking apples. The pricing structures resemble...
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Worksheet
Curated OER

Exploring Function Tables

For Students 3rd
In this exploring function tables worksheet, 3rd graders take the input number, follow the rule at the top of the table and write the output number for six tables.
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Worksheet
Curated OER

Functions Tables Activity

For Students 2nd - 4th
In this functions worksheet, students complete a set of 4 function tables using a given rule, then answer a set of 3 additional related questions. Answers are included on page 2.
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Lesson Plan
Curated OER

Linear Functions

For Teachers 5th
Fifth graders investigate the concept of a function in relationship to how it is used. The concept is essential for the future study of Algebra. They apply the use of patterns with its relationship to functions.
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Worksheet
Curated OER

Composition of Functions and the Chain Rule

For Students Higher Ed
In this function worksheet, students determine the natural domain and range for functions and formulas. They identify the composition of two functions and complete the derivation of the quotient rule. This three-page worksheet contains...
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Worksheet
Curated OER

Functions of Two Variables

For Students Higher Ed
In this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
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Lesson Plan
Curated OER

Patterns, Relations, and Functions

For Teachers 6th - 9th
Students investigate the patterns of different data sets of numbers. They use critical thinking skills in order to find the missing numbers in any given set. This activity helps to develop the skill of number sense.

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