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Illustrative Mathematics

Equal Area Triangles on the Same Base II

For Teachers 9th - 12th Standards
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
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Lesson Plan
EngageNY

Construct an Equilateral Triangle (part 2)

For Teachers 9th - 10th Standards
Triangles, triangles, and more triangles! In this second installment of a 36-part series, your young mathematicians explore two increasingly challenging constructions, requiring them to develop a way to construct three triangles that...
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Lesson Plan
EngageNY

Newton’s Law of Cooling

For Students 9th - 10th Standards
As part of an investigation of transformations of exponential functions, class members use Newton's Law of Cooling as an exponential model to determine temperature based on varying aspects. The resource makes comparisons between models...
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Lesson Plan
EngageNY

Modeling with Inverse Trigonometric Functions 2

For Teachers 11th - 12th Standards
Use inverse trigonometric functions to work with ramps, rabbits, and Talladega. The class models real-world situations with trigonometric functions and solves them using inverses in the 15th installment of a 16-part series. Pupils solve...
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Lesson Plan
West Contra Costa Unified School District

The Extreme Value Theorem

For Teachers 11th - Higher Ed
Finding the critical numbers of a function can be extreme. The lesson introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.
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Lesson Plan
Curated OER

Course of Antibiotics

For Teachers 9th - 12th Standards
This model of the amount of anibiotics in a person's system is represented abstractly by a finite geometric series. Learners translate this real-life situation into algebraic form and then extend their knowlege by answering questions...
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Lesson Plan
Curated OER

Measures of Central Tendency Using Scientific Calculators

For Teachers 9th - 12th Standards
Learners explore mean, median, and mode as they model mathematics in real-world problem situations. The lesson requires the use of the TI 30X IIS.
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Unit Plan
Curated OER

Multiplication Strategies - A Day at the Zoo

For Teachers 3rd - 4th
This is an amazing 33-page resource for teaching multiplication! Your mathematicians will discover the connection between multiplication and repeated addition. They also will work collaboratively with arrays while studying zoo animals....
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Lesson Plan
Curated OER

Stochastic and Deterministic Modeling

For Teachers 11th - Higher Ed Standards
Explore the difference between stochastic and deterministic modeling through programming. First have the class write algorithms for relatively simple tasks using pseudocode. Use the Python 2.7 program app to simulate Mendel's Pea Pod...
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Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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Assessment
Los Angeles County Office of Education

Assessment for the California Mathematics Standards Grade 5

For Students 5th Standards
Test young mathematicians' knowledge with an assessment aligned to California's fifth grade state standards. The exam covers a multitude of concepts including fractions and decimals, positive and negative numbers, measurement; and how to...
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Lesson Plan
West Contra Costa Unified School District

Shifting Linear Equations in Function Notation

For Students 8th - 10th Standards
Time for a shift in thinking! Learners examine translations of linear functions. They use function notation to describe the translation and make connections to the graph.
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Lesson Plan
Curated OER

Making Predictions About Measurement

For Teachers 3rd - 5th
Upper graders experiment with measurement. They estimate the length, volume, and weight of various objects, then rotate through stations making predictions concerning measurements and then testing their predictions.
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Lesson Plan
Curated OER

Prairie Populations

For Teachers 11th
Eleventh graders practice the Quadrat Survey Technique to analyze the biodiversity of a local plant community. They compare its biodiversity with the documented changes in biodiversity of the tallgrass prairie over time.
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Lesson Plan
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Alabama Learning Exchange

Abundant Area

For Teachers 3rd - 5th Standards
Explore the relationship between perimeter and area. Learners input the area and perimeter for shapes on the Shape Explorer website, solve problems using geoboards, complete a worksheet, create a PowerPoint presentation, and take an...
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Lesson Plan
Curated OER

Even/Odds Game

For Teachers 6th - 8th
Using a game format, learners review what they know about theoretical probability. As they roll tetrahedron dice, they record their results as odd or even. Afterwards, they discuss their findings.
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Lesson Plan
Illustrative Mathematics

Riding at a Constant Speed, Assessment Variation

For Teachers 5th - 7th Standards
Practice ratios and unit rates with tracking how long Lin took to ride her bike. Provided with different questions, your mathematicians can assemble their answers using a chart or setting up ratios. The activity is included in a set of...
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Lesson Plan
Illustrative Mathematics

Overlapping Squares

For Teachers 5th - 7th Standards
The objective of this activity is to find the percent of the area of a two squares overlapping. Mathematicians find the ratio of area for the part that overlaps to the rectangle formed. The final answer is a percent as a rate per 100....
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Lesson Plan
Curated OER

Bernardo and Sylvia Play a Game

For Teachers 9th - 12th Standards
This activity presents a game played by two learners whose solution is an exercise in creating and analyzing with algebraic inequalities. 
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Lesson Plan
Curated OER

Exponential Growth versus Linear Growth II

For Teachers 9th - 12th Standards
Your algebra learners discover that exponential functions, with a base larger than one, outgrow linear functions when the inputs increase sufficiently. Their analysis includes using a graphing calculator to produce tables.
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Unit Plan
Curated OER

Olympic Games - Can You Measure Up?

For Teachers 5th - 6th
Students complete 6 units to learn about Ancient Greece and the Olympic games through physical education activities as well as math activities. In this Ancient Greece lesson, students complete multiple activities in 6 lessons including...
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Lesson Plan
Curated OER

Introduction To Calculus

For Teachers 11th - 12th
Students engage in a lesson that is about an introduction to the course of calculus. They practice some of the basic concepts and solve some problems applying different principals of calculus. The teacher uses the sample problems...
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Worksheet
Curated OER

Shopping for Credit Exercise

For Students 8th - 12th
In this personal budgeting worksheet, students compare 3 credit card offers and determine which would benefit them the most. Students respond to 6 short answer questions about the exercise.
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Worksheet
Curated OER

Rational Numbers

For Students 9th
In this rational numbers learning exercise, 9th graders solve and complete 16 different problems that include adding and subtracting various rational numbers. First, they determine the sum or difference for each equation. Then, students...

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