FSA Exemplars Grade 4 Numeracy FSA 2013 Grade 4 Numeracy Question 1 1. Paul is building a fence around a flower garden. • The garden has a perimeter of 14 metres. • He uses 1 metre fence sections. 1 m Follow the lines on the grid to draw possible regular and irregular shaped gardens. Label the side lengths. (4 marks) Page 1 2013 Foundation Skills Assessment Grade 4 Numeracy Solutions 1. Paul is building a fence around a flower garden. • The garden has a perimeter of 14 metres. • He uses 1 metre fence sections. 1 m Follow the lines on the grid to draw possible regular and irregular shaped gardens. Label the side lengths. (4 marks) SCORING RATIONALES Concept: 3C5–Demonstrate an understanding of perimeter of regular and irregular shapes by constructing different shapes for a given perimeter. 2A9–Demonstrate an understanding of addition (limited to 1- and 2-digit numerals) Strategies: Students will: draw and label regular and irregular polygons (shapes). Accuracy: Students will draw polygons with a perimeter of 14 metres. Representation Communication: The reader is able to easily understand the process used because work is clear, detailed and organized. All work is shown. Page 2 Page 3 Grade 4 Numeracy Question 1 – Exemplar # 1 1. Paul is building a fence around a flower garden. • The garden has a perimeter of 14 metres. • He uses 1 metre fence sections. 1 m Follow the lines on the grid to draw possible regular and irregular shaped gardens. Label the side lengths. Page 4 Page 5 Grade 4 Numeracy Question 1 – Exemplar # 2 1. Paul is building a fence around a flower garden. • The garden has a perimeter of 14 metres. • He uses 1 metre fence sections. 1 m Follow the lines on the grid to draw possible regular and irregular shaped gardens. Label the side lengths. Page 6 Grade 4 Numeracy Question 1 – Exemplar # 3 1. Paul is building a fence around a flower garden. • The garden has a perimeter of 14 metres. • He uses 1 metre fence sections. 1 m Follow the lines on the grid to draw possible regular and irregular shaped gardens. Label the side lengths. Page 7 Grade 4 Numeracy Question 1 – Exemplar # 4 1. Paul is building a fence around a flower garden. • The garden has a perimeter of 14 metres. • He uses 1 metre fence sections. 1 m Follow the lines on the grid to draw possible regular and irregular shaped gardens. Label the side lengths. Page 8 Grade 4 Numeracy Question 1 – Exemplar # 5 1. Paul is building a fence around a flower garden. • The garden has a perimeter of 14 metres. • He uses 1 metre fence sections. 1 m Follow the lines on the grid to draw possible regular and irregular shaped gardens. Label the side lengths. Page 9 Grade 4 Numeracy Question 1 – Exemplar # 6 1. Paul is building a fence around a flower garden. • The garden has a perimeter of 14 metres. • He uses 1 metre fence sections. 1 m Follow the lines on the grid to draw possible regular and irregular shaped gardens. Label the side lengths. Page 10 Grade 4 Numeracy Question 1 – Exemplar # 7 1. Paul is building a fence around a flower garden. • The garden has a perimeter of 14 metres. • He uses 1 metre fence sections. 1 m Follow the lines on the grid to draw possible regular and irregular shaped gardens. Label the side lengths. Page 11 Grade 4 Numeracy Question 1 – Exemplar # 8 1. Paul is building a fence around a flower garden. • The garden has a perimeter of 14 metres. • He uses 1 metre fence sections. 1 m Follow the lines on the grid to draw possible regular and irregular shaped gardens. Label the side lengths. Page 12 Grade 4 Numeracy Question 1 – Exemplar # 9 1. Paul is building a fence around a flower garden. • The garden has a perimeter of 14 metres. • He uses 1 metre fence sections. 1 m Follow the lines on the grid to draw possible regular and irregular shaped gardens. Label the side lengths. Page 13 Grade 4 Numeracy Question 1 – Exemplar # 10 1. Paul is building a fence around a flower garden. • The garden has a perimeter of 14 metres. • He uses 1 metre fence sections. 1 m Follow the lines on the grid to draw possible regular and irregular shaped gardens. Label the side lengths. Page 14 Grade 4 Numeracy Question 1 – Exemplar # 11 1. Paul is building a fence around a flower garden. • The garden has a perimeter of 14 metres. • He uses 1 metre fence sections. 1 m Follow the lines on the grid to draw possible regular and irregular shaped gardens. Label the side lengths. Page 15 Page 16 Grade 4 Numeracy Question 1 – Exemplar # 12 1. Paul is building a fence around a flower garden. • The garden has a perimeter of 14 metres. • He uses 1 metre fence sections. 1 m Follow the lines on the grid to draw possible regular and irregular shaped gardens. Label the side lengths. Page 17 FSA 2013 Grade 4 Numeracy Question 2 2. The coach orders uniforms for the 46-member track team. Every student receives: • one pair of shorts • one green tee shirt Shorts! 3 in a package Green Tee Shirts! 5 in a package (4 marks) Part A: The coach wants the least amount of clothing left over. How many packages of each item does he buy? Show your work. Part B: How many complete uniforms can be made from the leftover clothing? Explain your answer. Page 18 2013 Foundation Skills Assessment Grade 4 Numeracy Solutions 2. The coach orders uniforms for the 46-member track team. Every student receives: • one pair of shorts • one green tee shirt Shorts! 3 in a package Green Tee Shirts! 5 in a package (4 marks) Part A: The coach wants the least amount of clothing left over. How many packages of each item does he buy? Show your work. Part B: How many complete uniforms can be made from the leftover clothing? Explain your answer. SCORING RATIONALES Concept: Gr2-A1–Say the number sequence from 0 to 100 by 2s, 5s and 10s. Gr2-A9–Demonstrate an understanding of addition (limited to 1 and 2digit numerals) with answers to 100 Gr3-A1–Say the number sequence forward and backward from 0-1000 by 3s, 5s, 10s or 100s. Gr4-A6– Demonstrate an understanding of multiplication (2- or 3-digit by 1digit) to solve problems. Strategies: Students may use: skip counting, addition, multiplication, diagrams. Accuracy: The student was able to determine that the coach needs to buy 16 packages of shorts and 10 packages of green tee shirts AND determine that there are two extra uniforms. Representation Page 19 Communication: The reader is able to easily understand the process used because the work is clear, detailed and organized. All work is shown. Part A Possible Solution: Possible Strategy 1: a. 3 × 16 = 48 − 46 = 2 b. 5 × 10 = 50 − 46 = 4 Possible Strategy 2: a) 3—6—9—12—15—18—21—24—27—30—33—36—39—42—45—48 = 2 remaining b) 5—10—15—20—25—30—35—40—45—50 = 4 remaining Part B Possible Solution: Two uniforms can be made from the leftover clothing. Although there are 4 green T-shirts left, only 2 pairs of shorts are available. Since you need at least one pair of shorts to complete the uniform, therefore 2 extra uniforms can be made. Page 20 Grade 4 Numeracy Question 2 – Exemplar # 1 2. The coach orders uniforms for the 46-member track team. Every student receives: • one pair of shorts • one green tee shirt Shorts! 3 in a package Green Tee Shirts! 5 in a package (4 marks) Part A: The coach wants the least amount of clothing left over. How many packages of each item does he buy? Show your work. Part B: How many complete uniforms can be made from the leftover clothing? Explain your answer. Page 21 Grade 4 Numeracy Question 2 – Exemplar # 2 2. The coach orders uniforms for the 46-member track team. Every student receives: • one pair of shorts • one green tee shirt Shorts! 3 in a package Green Tee Shirts! 5 in a package (4 marks) Part A: The coach wants the least amount of clothing left over. How many packages of each item does he buy? Show your work. Part B: How many complete uniforms can be made from the leftover clothing? Explain your answer. Page 22 Grade 4 Numeracy Question 2 – Exemplar # 3 2. The coach orders uniforms for the 46-member track team. Every student receives: • one pair of shorts • one green tee shirt Shorts! 3 in a package Green Tee Shirts! 5 in a package (4 marks) Part A: The coach wants the least amount of clothing left over. How many packages of each item does he buy? Show your work. Part B: How many complete uniforms can be made from the leftover clothing? Explain your answer. Page 23 Grade 4 Numeracy Question 2 – Exemplar # 4 2. The coach orders uniforms for the 46-member track team. Every student receives: • one pair of shorts • one green tee shirt Shorts! 3 in a package Green Tee Shirts! 5 in a package (4 marks) Part A: The coach wants the least amount of clothing left over. How many packages of each item does he buy? Show your work. Part B: How many complete uniforms can be made from the leftover clothing? Explain your answer. Page 24 Grade 4 Numeracy Question 2 – Exemplar # 5 2. The coach orders uniforms for the 46-member track team. Every student receives: • one pair of shorts • one green tee shirt Shorts! 3 in a package Green Tee Shirts! 5 in a package (4 marks) Part A: The coach wants the least amount of clothing left over. How many packages of each item does he buy? Show your work. Part B: How many complete uniforms can be made from the leftover clothing? Explain your answer. Page 25 Grade 4 Numeracy Question 2 – Exemplar # 6 2. The coach orders uniforms for the 46-member track team. Every student receives: • one pair of shorts • one green tee shirt Shorts! 3 in a package Green Tee Shirts! 5 in a package (4 marks) Part A: The coach wants the least amount of clothing left over. How many packages of each item does he buy? Show your work. Part B: How many complete uniforms can be made from the leftover clothing? Explain your answer. Page 26 Grade 4 Numeracy Question 2 – Exemplar # 7 2. The coach orders uniforms for the 46-member track team. Every student receives: • one pair of shorts • one green tee shirt Shorts! 3 in a package Green Tee Shirts! 5 in a package (4 marks) Part A: The coach wants the least amount of clothing left over. How many packages of each item does he buy? Show your work. Part B: How many complete uniforms can be made from the leftover clothing? Explain your answer. Page 27 Grade 4 Numeracy Question 2 – Exemplar # 8 2. The coach orders uniforms for the 46-member track team. Every student receives: • one pair of shorts • one green tee shirt Shorts! 3 in a package Green Tee Shirts! 5 in a package (4 marks) Part A: The coach wants the least amount of clothing left over. How many packages of each item does he buy? Show your work. Part B: How many complete uniforms can be made from the leftover clothing? Explain your answer. Page 28 Grade 4 Numeracy Question 2 – Exemplar # 9 2. The coach orders uniforms for the 46-member track team. Every student receives: • one pair of shorts • one green tee shirt Shorts! 3 in a package Green Tee Shirts! 5 in a package (4 marks) Part A: The coach wants the least amount of clothing left over. How many packages of each item does he buy? Show your work. Part B: How many complete uniforms can be made from the leftover clothing? Explain your answer. Page 29 Grade 4 Numeracy Question 2 – Exemplar # 10 2. The coach orders uniforms for the 46-member track team. Every student receives: • one pair of shorts • one green tee shirt Shorts! 3 in a package Green Tee Shirts! 5 in a package (4 marks) Part A: The coach wants the least amount of clothing left over. How many packages of each item does he buy? Show your work. Part B: How many complete uniforms can be made from the leftover clothing? Explain your answer. Page 30 Grade 4 Numeracy Question 2 – Exemplar # 11 2. The coach orders uniforms for the 46-member track team. Every student receives: • one pair of shorts • one green tee shirt Shorts! 3 in a package Green Tee Shirts! 5 in a package (4 marks) Part A: The coach wants the least amount of clothing left over. How many packages of each item does he buy? Show your work. Part B: How many complete uniforms can be made from the leftover clothing? Explain your answer. Page 31 Page 32 Grade 4 Numeracy Question 2 – Exemplar # 12 2. The coach orders uniforms for the 46-member track team. Every student receives: • one pair of shorts • one green tee shirt Shorts! 3 in a package Green Tee Shirts! 5 in a package (4 marks) Part A: The coach wants the least amount of clothing left over. How many packages of each item does he buy? Show your work. Part B: How many complete uniforms can be made from the leftover clothing? Explain your answer. Page 33
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