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Lesson Plan
Illustrative Mathematics

Base and Height

For Teachers 5th - 7th Standards
It is easy to find the area of a triangle where the base and the height are given. But in this resource, it is up to your geometers to identify the base and height of the triangle. In fact, your pupils will learn that there are three...
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Lesson Plan
Illustrative Mathematics

Lines of Symmetry for Triangles

For Teachers 3rd - 5th Standards
What can symmetry tell us about triangles? After looking at four examples, learners will come to realize that lines of symmetry are different for equilateral, isosceles, and scalene triangles. Use this guided practice activity as an...
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Lesson Plan
Illustrative Mathematics

Are These Right?

For Teachers 3rd - 5th Standards
Is that a right triangle or a wrong triangle? Young mathematicians look at eleven different shapes and use a measuring tool of their choice to determine which triangles have right angles. Consider cutting out sets of the shapes to...
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Lesson Plan
Illustrative Mathematics

Running on the Football Field

For Teachers 7th - 9th Standards
Make your class into Pythagorean theorem fanatics in no time. What a great resource to get your sports enthusiasts into the math game! Read the commentary so you can you can strategize how to apply the three math practices.
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Lesson Plan
Illustrative Mathematics

Painting a Barn

For Teachers 5th - 7th Standards
When painting a barn you have to calculate surface area, and that is exactly what this resource is about. Not only will your future home owners calculate the surface area, but also the cost. It is a real-life problem that every that...
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Lesson Plan
Illustrative Mathematics

Finding Areas of Polygons, Variation 1

For Teachers 5th - 9th Standards
An exercise in finding the area of polygons by decomposing into triangles and composing into rectangles is the focus of this resource. Make several copies of the worksheet for each participant. Ask learners to use colored pencils to...
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Lesson Plan
Illustrative Mathematics

Same Base and Height, Variation 2

For Teachers 5th - 7th Standards
This is a good model for learners to visualize triangles of the same base and height. They can can begin to comprehend that these triangles will have the same area no matter how the triangle is drawn. It is part of a series of resources...
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Lesson Plan
Illustrative Mathematics

Area of a Trapezoid

For Teachers 7th - 9th Standards
Here is a straightforward example of how to apply the Pythagorean Theorem to find an unknown side-length of a trapezoid. Commentary gives additional information on proving that the inside of the trapezoid is a rectangle, but is...
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Worksheet
Curated OER

Section 2.5 - Problem Solving (Part B)

For Students 7th - 12th
Trying to figure out the perimeter of a geometric figure? Here are a few word problems to set up algebraic equations to solve for perimeter. There are also some word problems to set up algebraic equations to solve for angles in a...
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Worksheet
Curated OER

Spotting Polygons

For Students 2nd - 3rd Standards
See all sides of the story with a worksheet on geometric shapes! After studying the example at the top, which matches polygons with solid figures, second graders circle shapes that are named in the directions. Next, they match polygons...
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Lesson Plan
Curated OER

Evergreen Tree

For Teachers 1st - 2nd
Learners use a ruler to make measurements, and to create triangles and a rectangle. They take the shapes they've made and assemble them into an evergreen tree image. This simple, yet effective, lesson would be ideal for young learners...
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Worksheet
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Curated OER

Same Shape and Size

For Students K - 1st Standards
Can your kindergartners recognize shapes? What about when they are in different orientations? Youngsters study groups of shapes to determine which have the same shape and size. Two of the groups have triangles and ovals, and the other...
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Lesson Plan
Curated OER

Worksheet 7: Slope and Tangents

For Teachers 12th - Higher Ed
Providing both review and practice problems, this worksheet prompts students to answer five questions having to do with slope, tangents lines, graphing, the Squeeze Theorem, differentiable functions and derivatives. This activity could...
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Worksheet
Curated OER

Naming Polygons

For Students 3rd - 4th Standards
What polygon is this? Young geometers categorize shapes by circling all the quadrilaterals in a set of figures. Next, they write the names of 10 polygons using a visual guide as reference. Review the guide together before they start if...
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Worksheet
Curated OER

2-Dimensional Shapes: Naming Shapes

For Students 1st - 3rd Standards
Get to know eight shapes by name: square, rectangle, triangle, pentagon, hexagon, and octagon. Young geometers write the correct name below each of these shapes, using a word bank for guidance. Then, they draw two of the shapes (hexagon...
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Worksheet
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Curated OER

Naming 2-Dimensional Shapes

For Students 1st - 3rd
Inside each of these two-dimensional shapes, scholars identify the figure by writing its name. There is a word bank for them to work from, but some shape names are used multiple times. There are six identifiers they use: pentagon,...
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Worksheet
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Curated OER

2-Dimensional Shapes: Coloring Shapes

For Students K - 1st Standards
For beginners to color, number, and shape theory, this is a great way to solidify skills. They use a key at the top to determine which color (yellow, green, purple, or blue) to shade each shape (square, triangle, circle, and rectangle,...
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Lesson Plan
Curated OER

The Pythagorean Theorem and Classifying Triangles

For Teachers 9th - 12th Standards
Through the examination of the relationship between the lengths of the sides of a triangles learners will learn the classification of triangles (acute, right, or obtuse).
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Lesson Plan
Texas Instruments

Identifying a Triangle by its Sides and Angles

For Teachers 9th - 12th Standards
Identify triangles by their angle measures and side lengths by looking at and measuring angle measures and side lengths. Use Cabri Jr. to construct various triangles, then manipulate the construction to create the 6 types of triangles,...
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Worksheet
Curated OER

Triangles

For Students 4th - 7th Standards
Why are there so many different types of triangles? Be that as it may, beginning geometers need to understand the differences between equilateral, isosceles, scalene, and right triangles, and they get a visual approach with this...
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Interactive
Curated OER

7-2 Self Check Pythagorean Theorem Multiple Choice

For Students 8th - 10th
Middle and high schoolers use the Pythagorean Theorem to determine the length of the sides of a right triangle. They solve distance problems. This one-page worksheet contains 10 multiple-choice problems. This is self-checking worksheet.
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Lesson Plan
Curated OER

Learning Unit: The Pythagorean Theorem

For Teachers 8th - 10th
Middle and high schoolers research the life of Pythagoras and the Pythagorean theorem. They write a short biography of Pythagoras and learn to apply the theorem in their study of right triangles.
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Lesson Plan
Curated OER

Principles of Square Roots Lesson Plan

For Teachers 8th - 11th
Middle and high schoolers investigate all the different places in math that square root is present. In this geometry lesson, pupils discuss square roots as it relates to a right triangle and construction. They go over altitude, rise,...
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Worksheet
Curated OER

Geometry - Angles Overview

For Students 7th - 8th
Learners address 14 questions that include naming all pairs of opposite and supplementary angles for sets of intersecting lines and then, finding the measure of the unknown angle. They determine the measure of the angle that is...