Saskatchewan Common Mathematics Assessments Post Assessment Outcome: SS7.2 Develop and apply formulas for determining the area of triangles, parallelograms, and circles. 1. Find the area of the following irregular shapes. Level 3 (a) ________ 1m 5m 2m 8m 3 (b) ________ 2. Find the area of the following parallelogram. ________ Level 3 3. Calculate the area correct to two decimal places. ________ 3 4. Calculate the shaded area correct to one decimal place. ________ Level 3 5. Calculate the shaded area, correct to two decimal places. ________ 4 6. Construct your own composite shape with an area of 20 cm2. Label the lengths of the sides. Level 4 Teacher Section Teacher Notes: Calculator Question Indicator Level Answer Key: 1. a SS6.2 f 3 A = (1 x 5) + (8 x 2) = 21 square metres 1. b SS7.2 h 3 A = ½(2)(5) + 5(1) = 10 square metres 2. SS7.2 d,h 3 A = B x h = 6.5 x 2.5 = 16.25 square centimetres 3. SS7.2 g,h 3 A = 3.14 x r x r = 3.14 x 27 x 27= 3.14 x 729 = 2289.06 square centimetres 4. SS7.2 g,h 3 A = (3.14 x r x r )/4 = 50.24 square centimetres 5. SS7.2 b,g, h 4 A = (3.14 x r x r) – ( ½ x B x h)= 54.5 square centimetres 6. SS7.2 h 4 Student answers may vary. One possible answer is a composite shape that consists of a parallelogram with a base of 5 cm and height of 2 cm connected to a triangle with a base of 5 cm and height of 4 cm. Answer Outcome: SS7.2 Develop and apply formulas for determining the area of triangles, parallelograms, and circles. Description of Levels: (based on Marzano, 2007) Indicators and Learning Targets for each Level: Student-friendly descriptions of learning targets. up to Level 1 There is a partial understanding of some of the simpler details and processes. Prior knowledge is understood. Calculate the area of a rectangle by using a formula. Identify a parallelogram, triangle and circle. Understand area is written as square units. I can calculate the area of a rectangle by using a formula written as square units. up to Level 2 No major errors or omissions regarding the simpler details or processes, but major errors or omissions regarding the complex processes may be present. SS7.2 a,c,e Explain how the area of a rectangle can be used to find the area of a triangle and parallelogram. Estimate the area of a circle. up to Level 3 No major errors or omissions regarding any of the information and/or processes that were explicitly taught. This is the target level for proficiency. up to Level 4 In addition to level 3 performance, indepth inferences and applications go beyond what was explicitly taught. SS7.2 b,d,g Determine and apply the formula for the area of a triangle, parallelogram and circle. SS7.2 h Solve problems involving the area of a triangle, parallelogram and circle. I can explain how the area of a rectangle can be used to find the area of a triangle and parallelogram and estimate the area of a circle. I can calculate the area of a triangle, parallelogram and a circle by using a formula. I can solve simple and complex problems involving the area of a triangle, parallelogram and circle.