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Lesson Plan
EngageNY

Criterion for Perpendicularity

For Students 9th - 12th Standards
The Pythagorean Theorem is a geometry pupil's best friend! Learners explain the equation a1b1 + a2b2 = 0 for perpendicular segments using the Pythagorean Theorem. They are able to identify perpendicular segments using their endpoints and...
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Lesson Plan
EngageNY

Designing a Search Robot to Find a Beacon

For Students 9th - 12th Standards
Build right angles using coordinate geometry! Pupils explore the concept of slope related to perpendicular lines by examining 90-degree rotations of right triangles. Learners determine the slope of the hypotenuse becomes the opposite...
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Handout
Charleston School District

The Distance Between Points

For Students 8th - 10th Standards
Find the shortest distance from A to B using the Pythagorean Theorem! Scholars learn they can find the distance between two points by creating a right triangle using the horizontal and vertical lengths and applying the Pythagorean Theorem. 
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Lesson Plan
University of California

Hot! Hot! Hot!

For Teachers 7th - 10th Standards
Calories are not tiny creatures that sew your clothes tighter every night, but what are they? A science lesson plan, presented at multiple levels, has learners experiment with heat, heat transfer, and graph the function over time. It...
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Worksheet
West Contra Costa Unified School District

Discovering Slope of a Line in Standard Form

For Students 9th - 12th Standards
From start to finish this skills practice resource provides a way for individuals to explore the standard form equation of a line. Begin with a warm-up, work through the problems, and then discover the relationship between the equation...
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Worksheet
Washingtonville Central School District

Systems of Equations (Substitutes and Elimination)

For Students 9th - 12th Standards
With a whopping total of 66 questions, here is a resource that provides a full variety of systems of equations questions using elimination and substitution solution methods.
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Worksheet
Kuta Software

Equations in Standard Form - Solving Systems by Graphing

For Students 9th - 12th Standards
Get to graphing and figure out the solution between two lines using this 14-problem worksheet. Graphs are provided for the first eight problems, but requires learners to graph the remaining six separately.
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Activity
Firelands Local Schools

Exponential Growth and Decay

For Students 9th - 12th Standards
How can you safely model exponential growth and decay? A hands-on activity uses candies to model not only exponential decay, but also exponential growth. Exponential equations are fitted by hand and by use of a calculator to the data...
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Activity
Stats Monkey

Everything I Ever Needed to Learn about AP Statistics I Learned from a Bag of M and M's®

For Teachers 11th - 12th Standards
Candy is always a good motivator! Use this collection of M&M's® experiments to introduce statistics topics, including mean, standard deviation, nonlinear transformation, and many more. The use of a hands-on model with these AP...
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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 lesson makes the connection between solving an absolute value equation and graphing two functions. Graphing absolute value functions is presented through the process of...
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Lesson Plan
West Contra Costa Unified School District

Comparing Rational Functions and Simplified Functions

For Teachers 10th - 12th Standards
What kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order to...
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Lesson Plan
1
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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...
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Lesson Plan
West Contra Costa Unified School District

Writing Exponential Functions Based on Data

For Students 9th - 12th Standards
Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of each....
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Lesson Plan
West Contra Costa Unified School District

Solving a System by Substitution

For Teachers 8th - 10th Standards
Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...
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Lesson Plan
West Contra Costa Unified School District

Investigating the Discriminant

For Teachers 9th - 12th Standards
When is finding the discriminant enough? Using the quadratic formula helps find solutions to quadratic equations, but there are times when just using the discriminant is appropriate. Use this algebra II lesson to help classes see the...
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Lesson Plan
1
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West Contra Costa Unified School District

Introduction to Inverse Functions

For Students 9th - 12th Standards
Ready to share the beauty of the inverse function with your classes? This algebra II lesson guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made between the three,...
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Lesson Plan
iCivics

A Trip Around the World

For Teachers 6th - 12th Standards
How do the rights of citizens in other countries, such as India, Germany, Brazil, and Iran, compare to those of Americans? Take a closer look at the provisions of various foreign constitutions, and compare and contrast the protections...
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Lesson Plan
iCivics

The Fourth Branch: You!

For Teachers 5th - 11th Standards
Take time to remind your young learners of the valuable understanding that each branch of the United States government is really composed of other citizens. The reading material and worksheets of this resource cover the importance of...
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Worksheet
SHS Algebra

Transformations of Linear and Exponential Graphs

For Students 8th - 10th Standards
Your transformers will create and analyze graphs to discover which operations produce which transformations. Linear and exponential functions are used to model the transformations.
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Organizer
SHS Algebra

Linear vs. Exponential Functions Tasks

For Students 8th - 10th Standards
Your algebra learners will enjoy the real-life application of the three tasks presented here. They complete a table and a graph comparing the two options presented. One option is linear, while the other is exponential. After coming up...
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Handout
1
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Chapman University

Graphs of the Sine and Cosine Function in Degrees

For Teachers 10th - 12th
This bright, clear, graphic, display of the sin(x) and cos(x) functions spans the domain between -360 degrees and 360 degree. Use it as a poster, handout, presentation slide, or project it onto a whiteboard. 
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Handout
1
1
Chapman University

Graphs of the Sine and Cosine Function in Radians

For Teachers 10th - 12th
This bright, clear, graphical display of the sin(x) and cos(x) functions spans the domain between -2 pi radians and 2 pi radians. Use it as a poster, handout, presentation slide, or project it onto a whiteboard. 
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Worksheet
Curated OER

Interpreting Functions

For Students 8th - 10th Standards
Interpreting graphs of functions is addressed in a short worksheet. Distance as a function of time is sketched on a graph, and a few quick questions ask about their meaning. This would make a good short assessment, or a nice worksheet to...
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Worksheet
Curated OER

Systems of Linear Inequalities

For Students 9th - 12th Standards
Graphing systems of linear inequalities is the focus of this worksheet. Problems range from checking solutions of inequalities, graphing systems of two inequalities, and graphing systems of three inequalities. Graphing horizontal lines,...