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Pythagoras' Theorem

For Students 6th - 7th
In this triangles worksheet, students solve 40 problems in which Pythagoras' theorem is used to check if a triangle is right-angled. This page is intended for online use but may be completed on paper.
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Prisms

For Students 10th
In this prisms worksheet, 10th graders solve and complete 6 different types of problems. First, they find the volume of a right prism with equilateral triangles as bases. Then, students find the volume of a right prism with isosceles...
Lesson Plan
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Exploring Areas of Irregular Polygons

For Teachers 9th - 12th Standards
Students solve for the area of different polygons. In this geometry lesson, students identify and differentiate between regular and irregular polygons. They use properties of irregular polygons to solve problems.
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CSI Investigation of Congruence and Similarity

For Teachers 9th - 12th
High schoolers differentiate between similarity and congruence using polygons. In this geometry lesson, students label triangles based on their properties. They find missing sides and angles using the interior sum theorem.
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The Sum of All Angles

For Teachers 7th - 10th
Pupils add up the different angles using the angle addition postulate. In this geometry lesson, students differentiate between interior and exterior angles. They calculate the different angles for triangles and use proof to show their...
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Origami Cube

For Teachers 9th - 10th
Learners compare two lengths using the area of a square. In this geometry lesson, students solve problems using ratio and proportion of the two shapes. They solve equations by taking the square root of both sides.
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The Search for Pythagoras' Treasure

For Teachers 8th - 10th
Students identify and define properties of triangles. In this geometry lesson, students identify the missing sides and angles of right triangles. They use the rules of the Pythagorean Theorem to solve their problems.
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Law of Sines and Cosines

For Teachers 10th - 11th
Students solve problems using sine and cosine. In this precalculus lesson, students apply the properties of sine and cosine to solve non-right triangle problems. They use Heron's Law to find the area of a shape.
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Some More Trigonometry

For Teachers 9th - 10th
Students define the law of cosine and its correct usage. In this trigonometry instructional activity, students define the law of Heron's area formula and use it to solve problems. They review other trigonometric values and identify the...
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Exploring Geometric Mean

For Teachers 8th - 10th
Students solve problems using geometric means. In this geometry lesson, students create altitudes in right triangles. They use Cabri software to move the triangle around and observe different sides and angles.
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Words to Numbers

For Teachers 7th
Seventh graders translate word problems into numerical expressions. Through guided practice, 7th graders discover how to take the information contained in a word problem and create a numerical expression using variables. They...
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Concurrence

For Students 10th
In this concurrence learning exercise, 10th graders solve 10 different problems related to determining various concurrences. First, they determine which type of triangle has two altitudes outside of it. Then, students determine the...
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Unit 5: Worksheet 2 - Ratios

For Students 8th - 10th
In this ratio instructional activity, students investigate the relationship between the ratio of two sides of similar triangles. Afterwards, they convert fractions, decimals, and percents. This three-page instructional activity...
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The King's Slice

For Teachers 9th - 12th
Students participate in an experiment involving the square root of two. They use different methods to solve the problem.
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Snowflake Curve

For Teachers 6th - 8th
Students develop an appreciation for complex structures in nature. They observe patterns in nature in relationship to the Real World. Students use observation skills to assist in problem solving. They show comprehension of the concepts...
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Indirect Euclidean Proofs

For Students 10th
In this Euclidean proofs worksheet, 10th graders solve 10 different problems that include completing indirect Euclidean proofs. First, they write a statement for each of the reasons listed on the sheet of proofs. Then, students solve the...
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Unit 5: Worksheet 4 - Proportions

For Students 8th - 10th
In this proportion worksheet, students use proportions to find the missing side of similar triangles, they identify the percent of a number, and graph points on a coordinate plane. Students solve real life story problems dealing with...
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Congruent Figures

For Students 4th - 6th
In this congruent figures worksheet, students write the letters of the figures that solve each of 6 problems relating to congruency/non-congruency
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The Circle's Measure

For Teachers 3rd - 7th
Students explore circumference and diameter. In this math lesson, students apply their knowledge of circumference and diameter to solve mathematical riddles. Students apply this knowledge to find circumference and diameter of various...
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Geometry: Lesson 10

For Teachers 8th
Eighth graders investigate the Pythagorean theorem and how it is used in geometry. Measurements for different triangles is given and then students must solve problems in order to practice using the formula.
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Quiz: Similarity

For Students 7th - 8th
In this similarity learning exercise, students use the characteristics of similar figures to determine the length of one side of a polygon, the height of a tree, or the shortest side of a triangle. They also identify similar figures. ...
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The Pythagorean Theorem

For Students 9th - 11th
In this geometry learning exercise, students solve missing parts of a triangle using the Pythagorean Theorem. There are 19 questions with an answer key.
Lesson Plan
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Finding The Area Of Shapes

For Teachers 4th
Fourth graders investigate the concept of computing the area using different shapes. They use prior knowledge in order to devise a formula for a parallelogram. Scaffolding is provided by the teacher to find the formula of area for...
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Properties of Angles

For Students 10th
In this properties of angles learning exercise, 10th graders solve and complete 3 different types of problems. First, they calculate the value of the missing angles in each diagram and explain the reasons for their answer. Then, students...

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