# 2.MD.B Modeling Multi-Step Word Problems_Ball Throws

## 2.MD.B.5 Modeling Multi-Step Word Problems

Evidence Statement 3.D.2  Solve multi-step contextual problems with degreee of difficulty appropriate t Grade 3, requiring application of knowledge and skills articulated in 2.OA.A, 2.OA.B, 2.MD.B

### Ball Throws

Mrs. Bee’s physical education class measured how far they could throw a ball.  The distance of some of their throws are shown below.

Ball Throws

## Part A

Mia threw the ball 15 feet farther than Sarina.

How far did Mia throw the ball?

## Part B

Kylie, Sarina, and Jamal threw their balls 103 feet combined.

• How far did Kylie and Sarina throw their balls combined?
• How far did Jamal throw his ball?
• Show all the steps for solving the problem.

## Part C

Emmanuel threw the ball the farthest.

He threw it 32 feet shorter than Kylie, Sarina, and Mia combined.

• How far was Emmanuel’s throw?
• Write an equation to represent how far Emmanuel threw the ball.
• Use a ? to represent the distance Emmanuel threw the ball.

Enter your equation and ? for the unknown in the space provided

## Scoring Rubric Part A

### Score 1

Student response includes the following element.

• Computation Component = 1 point for the correct answer of   39 feet

## Scoring Rubric Part B

### Score 4

Student response includes the following elements.

• Computation Component = 2 points
• The student correctly calculated the distance of Kylie and Sarina’s throws, 61 feet.
• The student correctly calculated the distance of Jamal’s throw, 42 feet.
• Modeling Component = 2 points
• The student provides valid work for the correct distance Kylie and Sarina threw.
• The student provides valid work for the correct distance Jamal threw.

Sample Student Response:

Kylie and Sarina
37 + 24 = 61 feet together.
Jamal
103 – 61 = 42 feet
Jamal threw his ball 42 feet.

### Score 3

Student response includes three of the elements.

### Score 2

Student response includes two of the elements.

### Score 1

Student response includes one of the elements.

### Score 0

Student response is incorrect.

## Scoring Rubric Part C

### Score Point 1

Student response includes the following elements.

• Modeling Component = 1 point
• The student provides a valid equation or equations with the total distance Emmanuel threw the ball represented with a ?

Sample Student Response:

Kylie, Sarina, Mia
37 + 24 + 39 = 100 feet together.
Jamal
100 – 32 = ? feet
OR 100-32=?