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Lesson Plan
Improving Measurement and Geometry in Elementary Schools

Rep Tiles

For Teachers 4th - 5th Standards
In addition to the catchy title, this lesson plan provides upper graders an opportunity to more closely scrutinize the attributes of plane figures. In particular, they focus on the similarity of different shapes. Both whole-class and...
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Lesson Plan
Curated OER

Tile Patterns II: Hexagons

For Teachers 7th - 9th Standards
After learning that the sum of interior angles for triangles is 108 degrees, take it further to show that the sum of angles in any polygon is the same! Using hexagons, pupils practice finding the measure of the six congruent angles. Make...
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Lesson Plan
Discovery Education

Discovering Math: Exploring Geometry

For Teachers 6th - 8th Standards
Apply geometric properties and formulae for surface area and volume by constructing a three-dimensional model of a city. Learners use similar and congruent figures and transformations to create a city of at least 10 buildings. They trade...
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Interactive
CK-12 Foundation

Secant, Cosecant, and Cotangent Functions: Hold the Ladder!

For Students 9th - 12th Standards
Determine the length of a falling ladder. Pupils use an interactive to find the angle a ladder makes with the floor after it falls to answer questions. The scholars use the triangle formed in the interactive to determine values of...
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Interactive
CK-12 Foundation

Distance Between Two Polar Coordinates: Exploring Changes in Angle and Radius

For Students 10th - 12th Standards
Get straight answers on a curved grid. An interactive has learners apply the Law of Cosines to find the distance between two points on the polar coordinate plane. The pupils use the radii lengths and the angle between the two radii to...
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Interactive
CK-12 Foundation

Sequence of Partial Sums: Partial Sums

For Students 11th - Higher Ed
Have some fun building squares out of triangles. Pupils investigate the partial sums of odd numbers. Using the sum of the first four odd numbers, learners see that it can be rewritten as a sum containing a triangular number. Simplifying...
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Lesson Plan
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EngageNY

Definition and Properties of Volume

For Teachers 9th - 10th Standards
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder. 
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Lesson Plan
Curated OER

THE MEAN INDEX CARD

For Teachers 6th - 8th
Students cut an index card to create three similar right triangles and explore the congruencies and proportions that exist. They investigate the properties of lines and concepts of congruency, similarity, tangency and symmetry of...
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Lesson Plan
Curated OER

Investigating Triangles 1

For Teachers 5th - 6th
Students independently investigate the Pythagorean Theorem. They are given a set of triangles that involve whole number Pythagorean Triples. The main focus of the lesson plan is exploration rather than discovering the Pythagorean Theorem.
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Lesson Plan
Curated OER

Try An Angle

For Teachers 5th
Fifth graders classify the different triangles by sides and angles. They discover how many different ways they can arrange 2, 3, 4 ...7 tangram pieces to create triangles. They classify and label the six triangles on their pattern sheet.
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Lesson Plan
Curated OER

Exploring Altitudes in Math

For Teachers 6th - 12th
Students draw and calculate altitudes. They draw the altitude of acute, right and obtuse triangles and calculate the altitude of a triangle using the Pythagorean theorem.
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Lesson Plan
Curated OER

Investigating the Idea of Cos

For Teachers 5th
Fifth graders use cos to solve problems involving right-angled triangles. They solve equations of the form cos(++) = a, for a between -180 and 360 degrees. They state the value of cos(++) in special cases and graph y = cos(++).
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Lesson Plan
Curated OER

Congruence with Robot Gobot

For Teachers 8th - 10th
Students identify the properties of solids and polygons. For this geometry lesson, students identify the different measurements of a triangle. They use congruence parts and theorem to prove their answer.
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Lesson Plan
Curated OER

Colorful Dogs

For Teachers Pre-K - K
Students make dog collages using triangles and rectangles. In this collage lesson, students use cut-out triangles and rectangles to make a dog collage after looking examples of Keith Haring's work and listening to Emma Dodd's, Dog's...
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Lesson Plan
Curated OER

Fractals and the Chaos Game

For Teachers 9th - 12th
High schoolers explore the concept of fractals. In this fractals lesson, students play the "Chaos Game" via an applet. High schoolers place dots on the screen to recognize that they have created Sierpinski's Triangle.
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Lesson Plan
Curated OER

As the Bird Flies

For Teachers 7th - 8th
Students investigate the properties of lines and congruent triangle theorems as well as apply geometric properties and relationships to real-world mathematical problems. Given two different scenarios, they examine maps that have been...
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Lesson Plan
Curated OER

Simson Line

For Teachers 9th - 12th
Stuednts identify triangles for the Simson Line. In this geometry instructional activity, students solve triangular problems using the properties of triangles.They differentiate between the height, congruency and similarity.
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Worksheet
Curated OER

Chapter 4.5 Geometry Practice Problems

For Students 10th - 11th
In this geometry practice problems worksheet, students write geometric proofs to prove the validity of given circumstances. Students prove parallel lines, perpendicular lines, and similar angles. This four-page worksheet contains eight...
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Lesson Plan
Curated OER

Recursion on a Calculator

For Teachers 10th - Higher Ed
In this math worksheet, students investigate repeated values on the calculator. They also read the explanation of the golden triangle and its proof.
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Lesson Plan
Curated OER

Fractals

For Teachers 10th - Higher Ed
Pupils explore the concept of fractals. In this fractal lesson plan, students use applets to explore Koch's Snowflake, Sierpinski's Triangle, and other fractals. Pupils develop these concepts through exploration and teacher guided...
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Lesson Plan
Alabama Learning Exchange

"I Saw the Sine"

For Teachers 9th - 12th Standards
Discover trigonometric ratios that complement each other. Using two videos, the lesson introduces the trigonometric ratios. The class discovers the relationship between the sine and cosine of complementary angles.
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Activity
Noyce Foundation

Between the Lines

For Students K - 12th Standards
Explore linear and square dimensions by comparing areas of similar figures. A creative set of five activities designed for elementary through high school classes asks young scholars to compare areas of specific polygons. The first two...
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Assessment
Concord Consortium

Measuring the Unit Circle

For Students 9th - 12th Standards
Here's the right task to investigate right triangles in the unit circle. A short performance task has learners determine the product of two side lengths in a unit circle. They must apply similarity concepts and trigonometric ratios to...
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Handout
El Paso Community College

Geometry Definitions

For Students 7th - 9th Standards
Geometry is full of shapes, figures, and corresponding things here and there. The guide shares all of the key pieces of geometric information in a nicely color-coded and labeled sheet. 

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