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Getting It Right! An Investigation of the Pythagorean Theorem
Learners construct a variety of right triangles using a right-angled set square, cutting corners from pieces of paper or cardboard, and using dynamic geometry software. They measure the sides of these various right triangles and record...
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Getting It Right!
Students construct right triangles, measuring the sides and recording the measurements in spreadsheets. They analyze their measurements for patterns and research the Internet for information on Pythagoras.
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Let's Get Linear
Math whizzes utilize spreadsheets to examine linear modeling. They roll marbles down a ramp from three different heights and measure how far they roll. They use Excel to record their data and create a plot of their data.
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Flight of Angles of Inclination
Students measure the flight of a gilder. In this fight of angles lesson, students explore the flight of a glider and measure the distance flown. They collect statistical data of the flights and determine the slope of each flight. ...
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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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Sum of Interior/Exterior Angles with Wilbur
Students identify the interior and exterior measures of polygons. In this geometry lesson, students identify the formula for interior angles of polygons. They differentiate between triangular and polygons angles.
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Measuring Angles
Third graders describe an amount of turn from a particular position to another using the 'circular' benchmarks of 0, ++, ++, ++, and full turn. Estimation language such as 'just about', 'between', 'not quite', 'just over', and similar...
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My Angle on Cooling
Students explore how the angle and distance of an object can change it's temperature. After reviewing how the position of the Earth affects the temperature of the planet, student groups design and perform an experiment to test how...
West Contra Costa Unified School District
Pythagorean Theorem and Its Converse
Challenge scholars to prove the Pythagorean Theorem geometrically by using a cut-and-paste activity. They then must solve for the missing sides of right triangles.
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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...
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Triangles
This unit enables scholars to apply the rule for area of a triangle (area equals half base times height). They practice multiplication and division strategies as they calculate areas.
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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.
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II Similar
Students, through lecture and guided practice, discover the properties of similar triangles. They use given measurements of one triangle to find a missing measurement of a similar triangle. They apply this knowledge in real-life...
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Investigating Segments in a Right Triangle
High schoolers explore the concept of right triangles as they construct a right triangle using Cabri Jr. Learners find the midpoint of the hypotenuse and construct a line from the midpoint to the vertex of the right angle. They then...
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Introducing Trig
Fifth graders explore the importance of triangles in the real world. They find the unknown side of a right triangle using a scale drawing. Students use Pythagoras' Theorem and other appropriate ratios.
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What Goes Around
Fourth graders investigate the relationships between the area and perimeters of squares and rectangles. They calculate the perimeter of rectangles and squares using a formula. Students investigate the relationship between the perimeter...
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Trigonometry
Eighth graders practice calculating the unknown length of a right angle triangle. They also examine the pythogoram theory in groups. They help each other work through the problems.