M 7 Unit8 2 DFigures Days 94 105

(M 7) Unit-8: 2 D-Figures Days 94 - 105 • Common Core Standards 7. G. 1 : Solve problems involving scale drawing of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. • 7. G. 2: Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. • 7. G. 4: Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. • 7. G. 6: Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms

(M 7) Unit-8: 2 D-Figures Day 94: Polygons Learning Objective(s) • Find Perimeter and Area of 2 D-Shapes like Regular Polygons and any missing dimension (Parallelogram, Squares, Rectangles, Triangles, Rhombus, Trapezoid )Copy vocabulary into your notebook.

(M 7) Unit-8: 2 D-Figures Day 94: Polygons CW/HW Primary - Description • Perimeter and Area Review power point • Holt Lesson 8 -4 and 8 -5 …CW/HW Supplemental - Description Reteach http: //www. learnalberta. ca/content/me sg/html/math 6 web/m 6 lessons/m 6 lesson 12/math 6 -12 act. pdf Guided Practice: Missing Dimensions WS of Day-97

(M 7) Unit-8: 2 D-Figures Day 94: Polygons Exit-Ticket A rectangular playground has an area of 7125 square yards. The width of the playground is 75 yards. What is the length of the playground? A. B. C. D. 65 yards 75 yards 85 yards 95 yards

(M 7) Unit-8: 2 D-Figures Day 95 -96 : Circles Learning Objective(s) • Find Perimeter and Area of 2 D-Shapes Circles and any missing dimension given the perimeter/area.

(M 7) Unit-8: 2 D-Figures Day 95 -96 : Circles CW/HW Primary - Description 1) Identify Parts of a Circle – Paper-Plate Activity; (Also, What’s in a Circle Handout of D 96) 2) Exploring Circles – Group Activity Handout (Discover Pi - Relationship between Circumference and Diameter ) 3) Informally, derive Area formula from Circumference by relating to Parallelogram shape of Triangle-Wedges of the circle. Supplemental - Description Guided /Independent Practice: : 1) Circles Practice Problems (2 handouts – d 95, d 96) HW: Holt Course 2 Lesson 8 -3 and Lesson 86

(M 7) Unit-8: 2 D-Figures Day 95 -96: Circles Exit-Ticket 1) A round clock has a radius of 5 cm. What is the approximate area of the clock? Use 3. 14 for ∏. A. B. C. D. 31. 4 cm 2 78. 5 cm 2 314 cm 2 785 cm 2 2) A wheel has a diameter of 28 inches. What is the approximate distance around the outside of the wheel? Use 22/7 for ∏. A. 44 in. B. 88 in. C. 176 in. D. 616 in.

(M 7) Unit-8: 2 D-Figures Day 97 : Quiz#1 Learning Objective(s) • Show mastery of Perimeter/Area Concepts and skills in problem-solving for Polygons and Circles by taking a Quiz. Warm-Up Review: 1) A square has a perimeter of 60 inches. What is the area of the square? A. 225 square inches B. 240 square inches C. 900 square inches D. 3600 square inches Before/After-Quiz: Guided Practice: Missing Dimensions WS of Day-97

(M 7) Unit-8: 2 D-Figures Day 98 -99 : Changing Dimensions Learning Objective(s) Find the new area/perimeter of Polygons (Squares, Rectangles only) when any dimension(s) is changed and look for a pattern/relationship between change in dimensions and change in area/perimeter. Warm-Up: Copy Vocab Similar Figures whose corresponding sides are proportional and corresponding angles are congruent Proportions An equality of two ratios Scale Factor The ratio used to enlarge or reduce similar figures. The scale factor comes from simplifying the ratio between two corresponding parts Scale The ratio between two sets of measurements. Scales can use the same units or different units

(M 7) Unit-8: 2 D-Figures March 25 - Changing Dimensions CW/HW Primary - Description Holt 9 -5 • Changing Dimensions Day 2 Notes Supplemental - Description HW Day 98: Changing Dimensions Day 1 Homework (See Note below) More Word-Problems Practice: Changing Dimensions Review from Day 104

(M 7) Unit-8: 2 D-Figures March 26 - Inscribed Shapes Learning Objective(s) Find area of shaded regions of inscribed shapes. Inscribed Shapes A closed figure drawn inside another closed figure CW/HW/Exit-Ticket Primary - Description • CW: Inscribed Shapes Notes • HW: Inscribed Shapes Practice Exit-Ticket Pam wants to pave a walkway around her pool. The total rectangle she has to work with is 20 yards by 8 yards. If her pool is going to be 15 yards by 5 yards, what will be the area of the walkway that she needs to pave?

(M 7) Unit-8: 2 D-Figures Warm-up March 26 Warm-up 1) Carlos and Jennie are building scale models of different vehicles for a class project. They just completed a 4 inch long model of a car that is 15 feet in length. If they use the same scale, what will be the length of a scale model of a truck that is 31. 5 feet long? A 8. 4 inches B. 20. 5 inches C. 31. 5 inches D. 118. 125 inches 2) A drawing of a deck has a scale of 1 inch equal to 5 feet. The actual deck is 18 feet long. How long is the deck in the scale drawing? A. 5. 0 inches B. 3. 6 inches C. 1. 3 inches D. 0. 3 inches

Surface Area March 27 Objective: You will demonstrate your understanding of surface area by calculating the surface area of Rectangular Prisms, Triangular Prisms and Square Pyramids with a partner. Formulas: SA (rect) = 2(lw) + 2(wh) + 2(hl) SA (tri) = 4(bh/2) + s² SA (sq) = 4(sl) + s² CW: exploring Surface Area HW: WKSH on Surface Area Warm-up: Vocabulary – Prism - A three dimensional figure with two parallel bases that are congruent polygons, and lateral faces that are parallelograms Surface Area - the sum of the areas of the base(s) and the lateral faces of a space figure Triangular Prism - A prism who bases are triangles Pyramid - a space figure with triangular faces that meet at a vertex, and a base that is a polygon. A pyramid is named for the shape of its base. Classifying 3 -D Figures

Volume March 28 Objective: You will calculate volume of Rectangular Prisms, Triangular Prisms and Square Pyramids with a partner. CW: Exploring Volume HW: WKSH on Volume Warm-up: Vocabulary Volume - the number of cubic units needed to fill it Have out your homework to go over and review.

Cross Sections April 2 or 3 Objective: You will understand recognize the result of a cross section from a 3 -D shape by exploring websites on cross sections. CW: a)http: //www. learner. org/courses/learni ngmath/geometry/session 9/part_c/i ndex. html b)http: //www. geogebratube. org/student /m 16041 c)http: //www. geogebratube. org/student /m 23378 d)http: //intermath. coe. uga. edu/dictnary /descript. asp? term. ID=95 HW: WKSH on Cross Sections Warm-up: Vocabulary Cross-Section - the two-dimensional face that is the result of a threedimensional shape being intersected by a plane. Questions: Name the shape of the base of the following prisms: • Rectangular prism • Triangular prism • Hexagonal prism • Pentagonal prism • Octagonal prism • How many faces of the figures above have the same shape as the base?

(M 7) Unit-8: 2 D-Figures Day 104 -105 : End-of-Unit Review & Test Learning Objective(s) Show mastery of area/perimeter concepts and skills in problem-solving for 2 D-figures, and surface area and volume of 3 D shapes. Primary - Description • Jeopardy review game • WKSH on 3 -D, surface area and volume