Block 2 ~ The Pythagorean Theorem Self-Assessment Name__________________________________________ Per_______________ Track your understanding. Lesson # Target Progress (shade this in) I can recognize and find the values of perfect squares. Starting… Getting there… Got it!! I can estimate the value of square roots. I can use the Pythagorean Theorem to find the missing side lengths in right triangles. Starting… Getting there… Got it!! Starting… Getting there… Got it!! 2.4 I can determine if three sides create a right triangle. Starting… Getting there… Got it!! 2.5 I can apply the Pythagorean Theorem to solve problems in two and three dimensions. Starting… Getting there… Got it!! 2.6 I can find the distance between two points on a coordinate plane using the Pythagorean Theorem. Starting… Getting there… Got it!! 2.7 I can find the distance between two points on a coordinate plane using the Distance Formula. Starting… Getting there… Got it!! 2.1 2.2 2.3 ©2013 SMC Curriculum Core Focus on Geometry 408 NAME: _________________________ PER: ____ LESSON 2.1 NAME: _________________________ PER: ____ LESSON 2.1 Find each value. 1. 64 2. 16 Find each value. 1. 64 2. 16 3. 4. Solve for x. 3. 4. Solve for x. 49 ©2013 SMC Curriculum 4 x 2 7 29 49 ©2013 SMC Curriculum Core Focus on Geometry 4 x 2 7 29 Core Focus on Geometry NAME: _________________________ PER: ____ LESSON 2.1 NAME: _________________________ PER: ____ LESSON 2.1 Find each value. 1. 64 Find each value. 1. 64 3. 49 ©2013 SMC Curriculum 2. 16 4. Solve for x. 4 x 2 7 29 3. 49 ©2013 SMC Curriculum Core Focus on Geometry 382 2. 16 4. Solve for x. 4 x 2 7 29 Core Focus on Geometry NAME: _________________________ PER: ____ LESSON 2.2 NAME: _________________________ PER: ____ LESSON 2.2 Determine the two positive integers that each square root falls between. 1. 11 2. 34 Determine the two positive integers that each square root falls between. 1. 11 2. 34 3. Solve for x. Round your answer to nearest tenth. 3. Solve for x. Round your answer to nearest tenth. x 2 18 24 ©2013 SMC Curriculum x 2 18 24 ©2013 SMC Curriculum Core Focus on Geometry Core Focus on Geometry NAME: _________________________ PER: ____ LESSON 2.2 NAME: _________________________ PER: ____ LESSON 2.2 Determine the two positive integers that each square root falls between. 1. 11 2. 34 Determine the two positive integers that each square root falls between. 1. 11 2. 34 3. Solve for x. Round your answer to nearest tenth. 3. Solve for x. Round your answer to nearest tenth. x 2 18 24 ©2013 SMC Curriculum x 2 18 24 ©2013 SMC Curriculum Core Focus on Geometry 383 Core Focus on Geometry NAME: _________________________ PER: ____ LESSON 2.3 NAME: _________________________ PER: ____ LESSON 2.3 Solve for x. Round to the nearest tenth, if necessary. x 1. 2. Solve for x. Round to the nearest tenth, if necessary. x 1. 2. x 9 4 x 9 9 12 4 9 12 3. Kyle has a rectangular living room. It is 8 ft wide and 12 ft long. What is the length of the diagonal of the living room? a) Draw a diagram to represent this situation. 3. Kyle has a rectangular living room. It is 8 ft wide and 12 ft long. What is the length of the diagonal of the living room? a) Draw a diagram to represent this situation. b) Find the length of the diagonal. b) Find the length of the diagonal. ©2013 SMC Curriculum ©2013 SMC Curriculum Core Focus on Geometry Core Focus on Geometry NAME: _________________________ PER: ____ LESSON 2.3 NAME: _________________________ PER: ____ LESSON 2.3 Solve for x. Round to the nearest tenth, if necessary. x 1. 2. Solve for x. Round to the nearest tenth, if necessary. x 1. 2. x 9 4 x 9 9 12 9 12 3. Kyle has a rectangular living room. It is 8 ft wide and 12 ft long. What is the length of the diagonal of the living room? a) Draw a diagram to represent this situation. 3. Kyle has a rectangular living room. It is 8 ft wide and 12 ft long. What is the length of the diagonal of the living room? a) Draw a diagram to represent this situation. b) Find the length of the diagonal. ©2013 SMC Curriculum 4 b) Find the length of the diagonal. ©2013 SMC Curriculum Core Focus on Geometry 384 Core Focus on Geometry NAME: _________________________ PER: ____ LESSON 2.4 NAME: _________________________ PER: ____ LESSON 2.4 Determine if each triangle is a right triangle. If it is, state if its side lengths form a Pythagorean Triple. Determine if each triangle is a right triangle. If it is, state if its side lengths form a Pythagorean Triple. 1. 1. 2. 3. 6 6 10 6 6 4 6 6.5 2.5 3. 10 4 6 2. 6.5 2.5 8 8 8 8 ©2013 SMC Curriculum ©2013 SMC Curriculum Core Focus on Geometry Core Focus on Geometry NAME: _________________________ PER: ____ LESSON 2.4 NAME: _________________________ PER: ____ LESSON 2.4 Determine if each triangle is a right triangle. If it is, state if its side lengths form a Pythagorean Triple. Determine if each triangle is a right triangle. If it is, state if its side lengths form a Pythagorean Triple. 1. 1. 2. 3. 6 6 10 6 6.5 2.5 8 8 ©2013 SMC Curriculum 6 4 6 6.5 2.5 3. 10 4 6 2. 8 8 ©2013 SMC Curriculum Core Focus on Geometry 385 Core Focus on Geometry NAME: _________________________ PER: ____ LESSON 2.5 NAME: _________________________ PER: ____ LESSON 2.5 1. A 10-foot ladder leans 9 feet up a wall. How far from the wall is the base of ladder? 1. A 10-foot ladder leans 9 feet up a wall. How far from the wall is the base of ladder? 2. A shipping company sells a rectangular box with dimensions of 12 inches by 12 inches by 18 inches. Find the length of the longest diagonal in the box. 2. A shipping company sells a rectangular box with dimensions of 12 inches by 12 inches by 18 inches. Find the length of the longest diagonal in the box. ©2013 SMC Curriculum ©2013 SMC Curriculum Core Focus on Geometry Core Focus on Geometry NAME: _________________________ PER: ____ LESSON 2.5 NAME: _________________________ PER: ____ LESSON 2.5 1. A 10-foot ladder leans 9 feet up a wall. How far from the wall is the base of ladder? 1. A 10-foot ladder leans 9 feet up a wall. How far from the wall is the base of ladder? 2. A shipping company sells a rectangular box with dimensions of 12 inches by 12 inches by 18 inches. Find the length of the longest diagonal in the box. 2. A shipping company sells a rectangular box with dimensions of 12 inches by 12 inches by 18 inches. Find the length of the longest diagonal in the box. ©2013 SMC Curriculum ©2013 SMC Curriculum Core Focus on Geometry 386 Core Focus on Geometry NAME: _________________________ PER: ____ LESSON 2.6 NAME: _________________________ PER: ____ LESSON 2.6 Find the distance between each set of points. Round to the nearest tenth, if necessary. Find the distance between each set of points. Round to the nearest tenth, if necessary. 1. (1, 4) and (9, 10) 1. (1, 4) and (9, 10) 2. (−3, 2) and (1, −6) 2. (−3, 2) and (1, −6) ©2013 SMC Curriculum ©2013 SMC Curriculum Core Focus on Geometry Core Focus on Geometry NAME: _________________________ PER: ____ LESSON 2.6 NAME: _________________________ PER: ____ LESSON 2.6 Find the distance between each set of points. Round to the nearest tenth, if necessary. Find the distance between each set of points. Round to the nearest tenth, if necessary. 1. (1, 4) and (9, 10) 1. (1, 4) and (9, 10) 2. (−3, 2) and (1, −6) 2. (−3, 2) and (1, −6) ©2013 SMC Curriculum ©2013 SMC Curriculum Core Focus on Geometry 387 Core Focus on Geometry NAME: _________________________ PER: ____ LESSON 2.7 NAME: _________________________ PER: ____ LESSON 2.7 Use the distance formula to find the distance between each pair of points. If necessary, round to the nearest tenth. Use the distance formula to find the distance between each pair of points. If necessary, round to the nearest tenth. 1. (2, 7) and (4, 10) 1. (2, 7) and (4, 10) 2. (−8, 3) and (7, 11) 2. (−8, 3) and (7, 11) ©2013 SMC Curriculum ©2013 SMC Curriculum Core Focus on Geometry Core Focus on Geometry NAME: _________________________ PER: ____ LESSON 2.7 NAME: _________________________ PER: ____ LESSON 2.7 Use the distance formula to find the distance between each pair of points. If necessary, round to the nearest tenth. Use the distance formula to find the distance between each pair of points. If necessary, round to the nearest tenth. 1. (2, 7) and (4, 10) 1. (2, 7) and (4, 10) 2. (−8, 3) and (7, 11) 2. (−8, 3) and (7, 11) ©2013 SMC Curriculum ©2013 SMC Curriculum Core Focus on Geometry 388 Core Focus on Geometry
