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Illustrative Mathematics

Similar Triangles

For Teachers 9th - 11th Standards
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
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Lesson Plan
National Security Agency

Classifying Triangles

For Teachers 4th - 8th Standards
Building on young mathematicians' prior knowledge of three-sided shapes, this lesson series explores the defining characteristics of different types of triangles. Starting with a shared reading of the children's book The Greedy...
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Lesson Plan
Alabama Learning Exchange

Triangle Area: No Height? Use the Sine

For Students 9th - 12th Standards
No height? No problem! Learners use their knowledge and a little help from GeoGebra to develop the Law of Sines formula. The Law of Sines helps to determine the height of triangles to calculate the area.
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Lesson Plan
Curated OER

Exploring Centers of a Triangle: Part 2

For Teachers 10th - 12th
Students model and solve a real-world problem by constructing the centroid of a triangle. They explore relationships of the medians of a triangle and investigate how the centroid partitions each of the medians. Students investigate...
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Lesson Plan
Curated OER

Triangle Inequality Theorems Investigation

For Teachers 9th - 10th
Learners estimate and measure triangles. In this geometry activity, students identify the relationship between three sides and a triangle. They use the inequality theorem to decide if a triangle will be formed or not.
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Lesson Plan
Curated OER

30-60-90 Right Triangles in Cabri Jr.

For Teachers 9th - 12th Standards
Young mathematicians draw and label right triangles using Cabri Jr. technology. They create other special right triangles and identify the length of the hypotenuse and each leg. High schoolers explore the ratios to determine how the...
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Lesson Plan
EngageNY

Modeling Riverbeds with Polynomials (part 2)

For Students 10th - 12th Standards
Examine the power of technology while modeling with polynomial functions. Using the website wolfram alpha, learners develop a polynomial function to model the shape of a riverbed. Ultimately, they determine the flow rate through the river.
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Lesson Plan
Curated OER

Exploring Characteristics of Triangles

For Teachers 9th - 11th
Learners draw triangles and explore the classification of each using the measures of interior angles and lengths of sides. They investigate the sum of the interior angles of various triangles and conjecture and prove the theorem: The...
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Lesson Plan
Curated OER

Triangle Inequality Theorem

For Teachers 9th - 12th Standards
High schoolers investigate the relationship between angle measures and sides of a triangle and the relationships among the three sides of a triangle. The use of technology (Cabri, Jr.) allows learners to make and test conjectures as they...
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Lesson Plan
Curated OER

Triangles & Congruence, Proportions & Similarity, Right Triangle & Trigonometry

For Teachers 9th - 12th
Learners are introduced to the topic of congruence and proportions in Geometry. Using technology, they construct and validate the properties of various geometric figures and identify whether it is congruent or proportion to the objects...
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Lesson Plan
Curated OER

What are the Kinds of Triangles?

For Teachers 5th
Fifth graders classify triangles. In this triangle lesson, 5th graders learn about the characteristics that make up a triangle. They are instructed through video, PowerPoint slides, and teacher-led demonstrations.
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Lesson Plan
Curated OER

How many isosceles triangles can you find?

For Teachers 7th
Seventh graders recognize the characteristics of isosceles triangles. In this isosceles triangle lesson, 7th graders use geoboards to create isosceles triangles. Students record results and explain why they have an isosceles triangle.
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Lesson Plan
Curated OER

Exploring Geometric Figures

For Teachers 10th
Tenth graders explore mathematics by participating in hands-on daily activities. Learners identify a list of different shapes and classify them by shape, size, sides and vertices. They utilize tangrams and geometric pieces to gain...
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Lesson Plan
Curated OER

Similar and Congruent Triangles

For Teachers 2nd - 4th
Students create and classify different types of triangles using an online geo-board. They explore the concepts of similar and congruent as they discover how to draw similar and congruent triangles.
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Lesson Plan
Curated OER

Finding Remainders in Pascal's Triangle

For Teachers 5th - 6th
Students use clock arithmetic to find remainders. In this patterns in math lesson, students explore the relationship between clock arithmetic and remainders using a computer applet. Students also identify patterns in Pascal's triangle...
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Lesson Plan
Curated OER

Reflecting a Triangle in the Coordinate Plane

For Teachers 9th - 12th Standards
Learners explore geometric concepts using technology. They manipulate the TI to find important math topics. This activity requires a TI-84 or higher.
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Lesson Plan
Texas Instruments

Getting Started with Cabri Jr.

For Teachers 9th - 12th Standards
Pupils construct geometric figures using Cabri Jr. in this constructing geometric figures using Cabri Jr. lesson plan. They familiarize themselves with Cabri Jr. and construct segments and triangles. Your learners will use various tools...
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Lesson Plan
Curated OER

Constructions of Isosceles and Equilateral Triangles

For Teachers 4th - 9th
Students explore the difference between drawing and constructing a triangle utilizing The Geometer's Sketchpad on the computer. They create, develop and script constructions for both isosceles and equilateral triangles. Each student has...
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Lesson Plan
Curated OER

Special Right Triangles

For Teachers 9th - 10th
Learners identify different types of special right triangles. In this geometry lesson, students differentiate between right triangles and isosceles triangles. they construct the triangles using geometry software and make conjectures...
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Lesson Plan
Curated OER

Triangle Exploration

For Teachers 6th - 12th
Young scholars are introduced to The Geometer's Sketchpad software while in the computer lab. They focus on triangles, horizontal lines, vertex and top parallel lines. Each student utilizes geometry to complete basic geometric...
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Lesson Plan
Curated OER

Classifying Triangles Based On Properties of Angles

For Teachers 5th Standards
The interactive lesson plan featured here calls for the use of a Smartboard for sorting and classifying shapes. Then, pupils discuss the rules they followed for sorting their shapes, particularly focusing on the properties of angles....
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Lesson Plan
Curated OER

Concurrent Lines in Triangles

For Teachers 9th - 12th
Students explore the concept of concurrent lines in triangles. In this concurrent lines in triangles lesson, students work in groups to investigate properties of concurrent lines in acute, right, and obtuse triangles. Students use a...
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Lesson Plan
Curated OER

Finding the Area and Perimeter of Polygons

For Teachers 7th
Seventh graders practice finding the area and perimeter of polygons. In this polygon area activity, 7th graders brainstorm shapes and take a walk to locate shapes. Students record properties of shapes and use various shapes to make...
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Lesson Plan
Curated OER

CORNER CABINET

For Teachers 9th - 10th
Ninth and tenth graders calculate the length, width, height, perimeter, area, volume, surface area, angle measures or sums of angle measures of common geometric figures. They solve problems involving scale drawings, models, maps or...