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Mathematics

Mathematics. Teacher A Pythagorean Theorem. From which standard is today’s learning taken?. Type the standard in below: 8.G.B.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

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Mathematics

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  1. Mathematics Teacher A Pythagorean Theorem

  2. From which standard is today’s learning taken? • Type the standard in below: • 8.G.B.7 • Apply the Pythagorean Theoremto determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. • TODAY’S TASK: Students will illustrate the Pythagorean theorem given a word problem, set-up the correct formula to find the unknown side and justify by solving for the unknown side.

  3. Bellwork 11 minutes 5 minutes 12 minutes 10 minutes 4 minutes 8 minutes 6 minutes 7 minutes 3 minutes 9 minutes 1 minute TIME IS UP! 2 minutes • Identify the correct formula to set-up the following problem: 2. Find the error and show the correct work. = c 7 25

  4. Bellwork Breakdown 4 minutes 3 minutes TIME IS UP! 1 minute 2 minutes 3. A 35-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from the base of the building. How far above the ground is the point where the ladder touches the building?

  5. Connection 3 minutes TIME IS UP! 1 minute 2 minutes • Today, you will learn: How to apply the Pythagorean Theorem in real-world context. • Why is this important?: Students will understand how to calculate distances as well as the size of different objects in the real-world. • Today’s Text: A Story of Ratios • Today’s Task: Students will illustrate the Pythagorean theorem given a word problem, set-up the correct formula to find the unknown side and justify their illustration by solving for the unknown side.

  6. Quick Check 5 minutes 4 minutes 6 minutes 3 minutes TIME IS UP! 1 minute 2 minutes The Pythagorean Theorem will help you with this problem… • What is the formula to find the volume of a triangular prism? • Solve for the volume of the following triangular prism:

  7. Frontloading 5 minutes 4 minutes 6 minutes 3 minutes TIME IS UP! 1 minute 2 minutes Let’s say two friends are meeting at Porter. Mary is already at Porter but her friend Carmisha needs to get there taking the shortest path possible. Carmisha has two ways she can go - she can follow the roads getting to Porter- first heading south 3 miles, then heading west four miles. The total distance covered following the roads will be how many miles? The other way she can get there is by cutting through some open fields and walk directly Porter. If we apply Pythagoras's theorem to calculate the distance you will get:

  8. Tiered Tasks 5 minutes 4 minutes 3 minutes TIME IS UP! 1 minute 2 minutes

  9. Tiered Tasks 5 minutes 4 minutes 6 minutes 3 minutes TIME IS UP! 1 minute 2 minutes

  10. Tiered Tasks 5 minutes 4 minutes 8 minutes 6 minutes 7 minutes 3 minutes TIME IS UP! 1 minute 2 minutes

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