Homework: Maintenance Sheet Due Thursday W.A.M 3-4 Anticipation questions Find the distance between two points Independent Practice Analyze (TOD) •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. W.A.M 3-4

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)

•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. Create a right triangle and apply the Pythagorean theorem. Use the distance formula -2 -5 = -7 3-7= -4

Finish? Work on practice yesterday with 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. Or the Pythagorean theorem Finish? Work on practice handout from yesterday with 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. TOD: Sue left her house traveling due west towards the store. After 15 yards she traveled due north 20 yards to the store. When she left the store she cut across the field and traveled along a straight path. How much shorter was the path Sue took home than the path she took to the store?