Use the relationships among supplementary, complementary, vertical, and adjacent angles to solve practical problems.† 2 8.10 - Pythagorean Theorem Key Vocabulary The student will use problem solving, mathematical Right Triangle The student will communication, mathematical reasoning, Pythagorean Theorem a) verify the Pythagorean Theorem; connections, and representations to Hypotenuse and Leg Identify the parts of a right triangle (the hypotenuse b) apply the Pythagorean Theorem. and the legs). DOE Lesson Plans Essential Question(s) Verify a triangle is a right triangle given the How can the area of squares generated measures of its three sides. by the legs and the hypotenuse of a Verify the Pythagorean Theorem, using diagrams, right triangle be used to verify the Chapter 3 Lessons 2 & 3 concrete materials, and measurement. Pythagorean Theorem? Find the measure of a side of a right triangle, given Resources/Lessons Prerequisite/Extension SOL the measures of the other two sides. 5.13a,b Solve practical problems involving right triangles by 6.12 using the Pythagorean Theorem. 7.6 G.8 2 8.11 - Composite Plane Figures Key Vocabulary The student will use problem solving, mathematical Polygon The student will solve practical area and communication, mathematical reasoning, Perimeter perimeter problems involving composite connections, and representations to Area plane figures. Subdivide a figure into triangles, rectangles, DOE Lesson Plans squares, trapezoids and semicircles. Estimate the Essential Question(s) area of subdivisions and combine to determine the How does knowing the areas of area of the composite figure. polygons assist in calculating the areas of composite figures? Use the attributes of the subdivisions to determine Chapter 2 Lesson 6 the perimeter and circumference of a figure. Chapter 7 Lessons 6 & 7 Prerequisite/Extension SOL Activity Lab Chapter 4 Lesson 4b (page 185) Apply perimeter, circumference and area formulas – 5.9 to solve practical problems. 6.10a,b,c,d Resources/Lessons 2 8.7 Volume & Surface Area Key Vocabulary – The student will use problem solving, mathematical Volume The student will communication, mathematical reasoning, Surface Area a) investigate and solve practical connections, and representations to Prism problems involving volume and Cylinder surface area of prisms, cylinders, Cone cones, and pyramids; and
Use the relationships among supplementary, complementary, vertical, and adjacent angles to solve practical problems.† 2 8.10 - Pythagorean Theorem The student will a) verify the Pythagorean Theorem; and b) apply the Pythagorean Theorem. Essential Question(s) How can the area of squares generated by the legs and the hypotenuse of a right triangle be used to verify the Pythagorean Theorem? Prerequisite/Extension SOL 5.13a,b 6.12 7.6 G.8 The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to Identify the parts of a right triangle (the hypotenuse and the legs). Verify a triangle is a right triangle given the measures of its three sides. Verify the Pythagorean Theorem, using diagrams, concrete materials, and measurement. Find the measure of a side of a right triangle, given the measures of the other two sides. Solve practical problems involving right triangles by using the Pythagorean Theorem. Key Vocabulary Right Triangle Pythagorean Theorem Hypotenuse Leg DOE Lesson Plans Chapter 3 Lessons 2 & 3 Resources/Lessons 2 8.11 - Composite Plane Figures The student will solve practical area and perimeter problems involving composite plane figures. Essential Question(s) How does knowing the areas of polygons assist in calculating the areas of composite figures? Prerequisite/Extension SOL 5.9 6.10a,b,c,d The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to Subdivide a figure into triangles, rectangles, squares, trapezoids and semicircles. Estimate the area of subdivisions and combine to determine the area of the composite figure. Use the attributes of the subdivisions to determine the perimeter and circumference of a figure. Apply perimeter, circumference and area formulas to solve practical problems. Key Vocabulary Polygon Perimeter Area DOE Lesson Plans Chapter 2 Lesson 6 Chapter 7 Lessons 6 & 7 Activity Lab – Chapter 4 Lesson 4b (page 185) Resources/Lessons 2 8.7 – Volume & Surface Area The student will a) investigate and solve practical problems involving volume and surface area of prisms, cylinders, cones, and pyramids; and The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to Key Vocabulary Volume Surface Area Prism Cylinder Cone
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