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Standards-based assessment and Instruction

Instructional Task: Grade 3

 

 

 

 

 

 

Rides at Fun Park

Task

Twelve friends are at Fun Park. There are many rides at the park. The Tilty Whirl has cars that hold two people each. The Ferris Wheel has cars that hold four people each. The Roller Coaster has cars that hold six people each. The Water Log has cars that hold five people each. All cars must be filled with people before a ride starts. The friends do not want to share a ride with anyone they do not know. Which rides can the friends ride? Show all of your mathematical thinking.

Alternative Versions of Task

More Accessible Version

Twelve friends are at Fun Park. There are many rides at the park. The Tilty Whirl has cars that hold two people each. The Ferris Wheel has cars that hold four people each. The Water Log has cars that hold five people each. All cars must be filled with people before a ride starts. The friends do not want to share a ride with anyone they do not know. Which rides can the friends ride? Show all of your mathematical thinking.

More Challenging Version

Eighteen friends are at Fun Park. There are many rides at the park. The Tilty Whirl has cars that hold two people each. The Ferris Wheel has cars that hold four people each. The Roller Coaster has cars that hold six people each. The Water Log has cars that hold five people each. All cars must be filled with people before a ride starts. The friends do not want to share a ride with anyone they do not know. Which rides can the friends ride? Show all of your mathematical thinking.

Common Core Content Standards and Evidence

3.OA Operations and Algebraic Thinking

Represent and solve problems involving multiplication and division.

3.   Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

Exemplars Task-Specific Evidence

This task requires student to understand the meaning of division. Students will need to partition the total (12) into fair shares and use the factors of 12 to recognize when the total cannot be partitioned into equal groups of five without having a remainder.

Common Core Standards of Mathematical Practice

MP.1 Make sense of problems and persevere in solving them.
MP.3 Construct viable arguments and critique the reasoning of others.
MP.4 Model with mathematics.
MP.5  Us appropriate tools strategically.
MP.6 Attend to precision.

Underlying Mathematical Concepts

  • Factors of 12
  • Using multiplication/division within 100
  • Finding a missing factor when the product and one factor are known
  • Partitioning into equal shares
  • Repeated subtraction of equal parts

Possible Problem-Solving Strategies

  • Model (manipulatives)
  • Diagram/Key
  • Array
  • Chart
  • Number line

Possible Mathematical Vocabulary/Symbolic Representation

  • Model
  • Diagram/Key
  • Chart
  • Number line
  • Equivalent/Equal to
  • Equal shares
  • Sets/Groups
  • Array
  • Total/Sum
  • Amount
  • Most/Least
  • Odd/Even
  • Equation
  • Quotient
  • Divisor
  • Dividend
  • Product
  • Factor
  • Remainder
  • Per
  • Dozen

Possible Solutions

The 12 friends can ride the Tilty Whirl, Roller Coaster or Water Log.

More Accessible Version Solution

The 12 friends can ride the Tilty Whirl and the Ferris Wheel.

More Challenging Version Solution

The 18 friends can ride the Titly Whirl and the Roller Coaster.

Possible Connections

Below are some examples of mathematical connections. Your students may discover some that are not on this list.

  • 12 is a dozen friends.
  • There are an even number of friends.
  • There are an even number of friends in each car except for the Water Log, which holds an odd number.
  • The Roller Coaster uses the least amount of cars.
  • The Tilty Whirl uses the most cars.
  • Solve more than one way to verify the answer.
  • Use multiplication to support addition/subtraction.
  • Relate to another task and state a math link.
  • 1, 2, 3, 4, 6 and 12 are called factors of 12.

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Here's What People Are Saying

If you are a student at our school, you will have heard the term, Exemplars. Exemplars are extended tasks in which 6th graders work in cooperative groups to plan strategies and find solutions. Initially, students are presented with a particular mathematical situation and asked to brainstorm individual strategies for 'attacking' such a problem.

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