Homework Due Thursday Unit Test Friday W.A.M: Writing about MATH 1-5 Quad Cluster Select one of three sets of words. Choose the word you think is different Write two or three sentences explaining why it didn’t belong. Write two or three sentences explaining why the others were similar Hypotenuse, height, base, cubed root Hypotenuse, height, base, square root Hypotenuse, leg, perimeter, distance Volume, cone, cylinder, sphere Unit Test Friday Unit Test(Means just Pythagorean & Volume) If I say Comprehensive Test(All things covered this year)

Activator If a contractor is trying to climb a 10ft wall and his ladder is leaning against that wall 5ft away; how long has he been a contractor? Student Teacher slide only

Standards I Can… Standards for Mathematical Practice MCC8.G.6 Explain a proof of the Pythagorean Theorem and its converse. MCC8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. MCC8.G.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system MCC8.EE.2 Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect square and cubed roots of small perfect cubes. Know that √2 is irrational. Standards for Mathematical Practice Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. I Can… I can give or explain a proof of the Pythagorean Theorem and its converse (prove perpendicular sides or right triangle). I can apply the Pythagorean Theorem in real-world situations or drawings to find unknown side lengths in right triangles in two and three dimensions. I can use the Pythagorean Theorem to find the distance between two points on a coordinate system. I can solve equations of the form x2 = p and x3 = p using square or cube roots.

The Pythagorean Theorem Video

Anticipation Questions Draw point A at (-3, 4) and point B at (3, -4). Connect the points with a line segment. A How would you find the distance between The two points? B

Anticipation Questions 2.Draw point C at (-3, -4). Connect the points with a line segment. What are the distances from point A to point C and from point B to point C ? A Make a triangle B C

Anticipation Questions 3. What type of polygon is ABC ? A Right triangle B C

Anticipation Questions 4. Using the Pythagorean Theorem, find the distance from point A to point B? A Discuss why you had to create polygon ABC to find the distance from point A to point B B C

Summarization: How can we find the distance between two points on a coordinate plane?

•I can solve equations of the form x2 = p and x3 = p using square or cube roots. •I can give or explain a proof of the Pythagorean Theorem and its converse (prove perpendicular sides or right triangle). •I can apply the Pythagorean Theorem in real-world situations or drawings to find unknown side lengths in right triangles in two and three dimensions. •I can use the Pythagorean Theorem to find the distance between two points on a coordinate system. Guided Practice 2

Your Turn w/ Your side partner •I can solve equations of the form x2 = p and x3 = p using square or cube roots. •I can give or explain a proof of the Pythagorean Theorem and its converse (prove perpendicular sides or right triangle). •I can apply the Pythagorean Theorem in real-world situations or drawings to find unknown side lengths in right triangles in two and three dimensions. •I can use the Pythagorean Theorem to find the distance between two points on a coordinate system. Your Turn w/ Your side partner

•I can solve equations of the form x2 = p and x3 = p using square or cube roots. •I can give or explain a proof of the Pythagorean Theorem and its converse (prove perpendicular sides or right triangle). •I can apply the Pythagorean Theorem in real-world situations or drawings to find unknown side lengths in right triangles in two and three dimensions. •I can use the Pythagorean Theorem to find the distance between two points on a coordinate system. Your turn (alone)

Pythagorean Theorem Word Problems & distance formula practice •I can solve equations of the form x2 = p and x3 = p using square or cube roots. •I can give or explain a proof of the Pythagorean Theorem and its converse (prove perpendicular sides or right triangle). •I can apply the Pythagorean Theorem in real-world situations or drawings to find unknown side lengths in right triangles in two and three dimensions. •I can use the Pythagorean Theorem to find the distance between two points on a coordinate system. Pythagorean Theorem Word Problems & distance formula practice Draw a pic Label Identify (legs & hypotenuse) Use formula and solve

Summarizer Day 1 Five heroes from the class to give at least one thing that they learned from the lesson.

Summarizer Day 2 Angela is building a bird house. She needs a right triangle for the roof. Which of the following makes a right triangle? Show your work! 13in, 7in, 18in 13in, 18in, 20in 8in, 9in, 19in 9in, 12in, 15in