Curated OER
Pythagoras' Theorem
Students are introduced to the Pythagoras' Theorem and its history, proofs and practice in application. Students find perimeters, areas and volume of everyday objects. Students state and explain the theory.
Curated OER
Gougu Rule or Pythagoras' Theorem
Fifth graders explore Pythagoras' Theorem. They examine the pattern linking the length of the hypotenuse of a right angled triangle and the length of the other two sides. Students find an unknown side in right angled triangles.
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Hey, Pythagoras! Help Me Understand Your Theorem!
Learners explore the Pythagorean Theorem. In this math lesson, pupils solve problems using the Pythagorean Theorem. They select the appropriate numbers to substitute in the formula to solve problems.
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Poppy Meets Pythagoras
Eighth graders find connections between numbers in a table; use Pythagoras' theorem in a general algebraic form; and measure accurately from a scale drawing to find a method that might enable the helicopter to land inside a rectangular...
Inside Mathematics
Rugs
The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...
Curated OER
Geometry In the Yard
Students are responsible for creating a border around a triangular garden spot, of which they know the measurements for two sides. They use the Pythagorean Theorem to calculate the third side and complete the garden.
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Geometry Worksheet: Pythagoras' Theorem
In this Pythagorean Theorem worksheet, students use the Pythagorean Theorem to find the length of the unlabeled side of the right triangle. There are 8 problems all together.
Curated OER
Coordinates
Students use cartesian coordinates (x,y,z) in 3-dimensional space. [Optional: appreciate there exist two ways of defining the z axis, and which of them is used.] They become familiar with the tools and terms used by surveyors.
Inside Mathematics
Patterns in Prague
Designers in Prague are not diagonally challenged. The mini-assessment provides a complex pattern made from blocks. Individuals use the pattern to find the area and perimeter of the design. To find the perimeter, they use the Pythagorean...
Curated OER
Right Trianlges: Missing lenght
For this geometry worksheet, 10th graders use the Pythagorean Theorem to find the indicated missing side of a right triangle. The one page worksheet contains one problem. Answers are not provided.
Curated OER
Investigating the Idea of Sin
Fifth graders use sin to solve problems involving right-angled triangles, Solve equations of the form sin(++) = a, for a between -180++ and 360++. They State and graph the value of sin(++) in special cases. They describe some of the ways...
Curated OER
Finding the Shortest Distance Between The Spider and The Fly
In this word problem worksheet, students solve for the shortest distance between a spider and a fly. The solution is provided.
Curated OER
Trigonometric Applications Outside the Classroom
Fifth graders describe and demonstrate how trigonometry can be used to find the height of a tall building or tree. They describe and demonstrate how trigonometry can be used to find the height of a high hill, or other high object where...
Curated OER
Bill's Badge
Students explore the making of circles and concepts related to them in geometry. The project is inquiry based will focus upon students making their own nametags. The construction is ideal for hands on students.
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Rings and Diamonds
Fifth graders solve a problem by using systematic problem solving strategies. They determine if there is enough information to solve the problem. They solve a problem involving geometric shapes and area.
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Dizzy Heights
Fifth graders explore ways to measure the height of an inaccessible object. They measure lengths using a tape measure or ruler. Students measure angles using a protractor and estimate heights.
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Investigating the Idea of Tan
Fifth graders use tan to solve problems involving right-angled triangles. They solve equations of the form tan(8) =a, for a between 180 degrees and 360 degrees. They state the value of tan (8) in special cases.
Curated OER
Using Trigonometry
Fifth graders explore the use of trigonometry to find unknown sides and angles in right-angled triangles, taking the concepts that were developed in the previous unit and looking at different ways of practicing the new skills. Students...
Curated OER
Investigating the Idea of Cos
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(++).
Curated OER
Tilted Squares and Right Triangles
Learners investigate squares. They generate patterns from structured situations and find a rule for the general term and express it using words and symbols. Students generate patterns from a rule and substitute values and formulas.
Curated OER
Area, Perimeter and Volume
In this area, perimeter and volume learning exercise, students solve and complete 12 various types of problems. First, they calculate the value for each variable in the triangle shown. Then, students find the distance of the ladder...