FSA Exemplars 

Grade 4  

Numeracy 

Page 1

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 2

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 3

Page 4

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 5

Page 6

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 7

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 8

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 9

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 10

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 11

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 12

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 13

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 14

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 15

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 16

Page 17

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 18

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 19

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 2-digit 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 1-digit) 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 20

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 21

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 22

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 23

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 24

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 25

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 26

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 27

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 28

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 29

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 30

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 31

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 32

Page 33

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.