The purpose of this lesson is to introduce the grade 6 math unit on geometry.
Included is a YouTube video to support Grade 6 Blended Learning Math - Unit 6.0: Geometry - Introduction.
The purpose of this lesson is to explore drawing triangles.
Included is a YouTube video to support Grade 6 Blended Learning Math - Unit 6.3: Geometry - Drawing Triangles.
The purpose of this lesson is to learn how to identify and create perpendicular line segments.
Included is a YouTube video to support Grade 7 Blended Learning Math - Unit 8.2: Geometry - Perpendicular Lines.
The purpose of this lesson is to use what has been learned about squares and square roots to find the side lengths of a right triangle.
Included is a YouTube video to support Grade 8 Blended Learning Math - Unit 1.5: Square Roots and Pythagorean Theorem - The Pythagorean Theorem.
Students explore the concept of similar right triangles and how they apply to trigonometric ratios. Use this lesson as a refresher of what trig ratios are and how they work. In addition to trigonometry, students explore a clinometer app on an Android® or iOS® device and how it can be used to test the mathematics underpinning trigonometry. This prepares student for the associated activity, during which groups each put a clinometer through its paces to better understand trigonometry.
Students investigate the relationships between angles and side lengths in right triangles with the help of materials found in the classroom and a mobile device. Using all or part of a meter stick or dowel and text books or other supplies, students build right triangles and measure the angles using a clinometer application on an Android® (phone or tablet) or iOS® device (iPhone® or iPad®). Then they are challenged to create a triangle with a given side length and one angle. The electronic device is used to measure the accuracy of their constructions.
Students learn about trigonometry, geometry and measurements while participating in a hands-on interaction with LEGO® MINDSTORMS® NXT technology. First they review fundamental geometrical and trigonometric concepts. Then, they estimate the height of various objects by using simple trigonometry. Students measure the height of the objects using the LEGO robot kit, giving them an opportunity to see how sensors and technology can be used to measure things on a larger scale. Students discover that they can use this method to estimate the height of buildings, trees or other tall objects. Finally, students synthesize their knowledge by applying it to solve similar problems. By activity end, students have a better grasp of trigonometry and its everyday applications.