SCALE Performance Task Database

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Math Cluster

Mathematical Practices

Source	Task
Source Mathematics Assessment Project (MAP) by MARS: Shell Center, University of Nottingham & UC Berkeley Subject Mathematics Grade Level 9, 10, 11, 12	"Ponzi" Pyramid Schemes This task asks students to examine a pyramid scheme, caluclate the first tier profits, and explain what could go wrong. This task includes: 1. Task Description 2. Scoring Rubric 3. Scored Student Work 4. Unscored Student Work
Source Mathematics Assessment Project (MAP) by MARS: Shell Center, University of Nottingham & UC Berkeley Subject Mathematics Grade Level 9, 10, 11, 12	A Golden Crown? This task uses ratios and proportional relationships to determine if the King's crown is made of solid gold. This task includes: 1. Task Description 2. Scoring Rubric
Source Mathematics Assessment Project (MAP) by MARS: Shell Center, University of Nottingham & UC Berkeley Subject Mathematics Grade Level 9, 10, 11, 12	Best Buy Tickets In this task, students must illustrate the best possible choices for printing, in terms of cost efficiency, for ticket printing. This task includes: 1. Task Description 2. Scoring Rubric 3. Scored Student Work 4. Unscored Student Work
Source Mathematics Assessment Project (MAP) by MARS: Shell Center, University of Nottingham & UC Berkeley Subject Mathematics Grade Level 9, 10, 11, 12	Best Size Cans In this task, students must find the can dimensions that will provide the smallest surface area while still being able to hold the predetermined volume of soda. This task includes: 1. Task Description 2. Scoring Rubric 3. Scored Student Work 4. Unscored Student Work
Source Mathematics Assessment Project (MAP) by MARS: Shell Center, University of Nottingham & UC Berkeley Subject Mathematics Grade Level 9, 10, 11, 12	Circles and Squares This task requires students to determine ratios between measurements of multiple inscribed squares and circles. This task includes: 1. Task Description 2. Scoring Rubric 3. Scored Student Work 4. Unscored Student Work
Source The Math Forum at Drexel Subject Mathematics Grade Level 9, 10, 11, 12	Cooling Colas In Cooling Colas, students predict how long it will take cola to cool down to the desired temperature. This task includes: Problem Teacher Packet - the teacher packet provides an "answer check" and a range of sample solutions. Trig/Calculus Rubric Scenario - the scenario provides a story to help introduce the problem in a way that makes the mathematics as relevant as possible.
Source The Math Forum at Drexel Subject Mathematics Grade Level 9, 10, 11, 12	Extending the Enneagon In Extending the Enneagon, students determine the meaure of an angle formed by extending two sides of an enneagon until they intersect. Elements of this problem are explored in Grade 7, when students “Use facts about supplementary, complementary, vertical, and adjacent angles in a multi- step problem to write and solve simple equations for an unknown angle in a figure.” Combining those concepts with properties of regular polygons is more likely tackled in high school. This task includes: Problem Answer Check Sample Solutions Scoring Rubric
Source Mathematics Assessment Project (MAP) by MARS: Shell Center, University of Nottingham & UC Berkeley Subject Mathematics Grade Level 9, 10, 11, 12	Fearless Frames In this task, students are asked to calculate the dimensions of a prism frame being built using a predetermined amount of metal. This task includes: 1. Task Description 2. Scoring Rubric 3. Scored Student Work 4. Unscored Student Work
Source Mathematics Assessment Project (MAP) by MARS: Shell Center, University of Nottingham & UC Berkeley Subject Mathematics Grade Level 9, 10, 11, 12	Fruit Boxes In this task, students are given box dimensions for a flat box and asked to calculate the largest volume possible. This task includes: 1. Task Description 2. Scoring Rubric
Source Mathematics Assessment Project (MAP) by MARS: Shell Center, University of Nottingham & UC Berkeley Subject Mathematics Grade Level 9, 10, 11, 12	Proofs of the Pythagorean Theorem In this task, students will analyze three attempts at proving the Pythagorean Theorem and select one as the best, explaining why. This task includes: 1. Task Description 2. Scoring Rubric 3. Scored Student Work 4. Unscored Student Work

Source

Task

Source
Mathematics Assessment Project (MAP) by MARS: Shell Center, University of Nottingham & UC Berkeley

Subject
Mathematics

Grade Level
9, 10, 11, 12

"Ponzi" Pyramid Schemes

This task asks students to examine a pyramid scheme, caluclate the first tier profits, and explain what could go wrong.

This task includes:
1. Task Description
2. Scoring Rubric
3. Scored Student Work
4. Unscored Student Work

Source
Mathematics Assessment Project (MAP) by MARS: Shell Center, University of Nottingham & UC Berkeley

Subject
Mathematics

Grade Level
9, 10, 11, 12

A Golden Crown?

This task uses ratios and proportional relationships to determine if the King's crown is made of solid gold.

This task includes:
1. Task Description
2. Scoring Rubric

Source
Mathematics Assessment Project (MAP) by MARS: Shell Center, University of Nottingham & UC Berkeley

Subject
Mathematics

Grade Level
9, 10, 11, 12

Best Buy Tickets

In this task, students must illustrate the best possible choices for printing, in terms of cost efficiency, for ticket printing.

This task includes:
1. Task Description
2. Scoring Rubric
3. Scored Student Work
4. Unscored Student Work

Source
Mathematics Assessment Project (MAP) by MARS: Shell Center, University of Nottingham & UC Berkeley

Subject
Mathematics

Grade Level
9, 10, 11, 12

Best Size Cans

In this task, students must find the can dimensions that will provide the smallest surface area while still being able to hold the predetermined volume of soda.

This task includes:
1. Task Description
2. Scoring Rubric
3. Scored Student Work
4. Unscored Student Work

Source
Mathematics Assessment Project (MAP) by MARS: Shell Center, University of Nottingham & UC Berkeley

Subject
Mathematics

Grade Level
9, 10, 11, 12

Circles and Squares

This task requires students to determine ratios between measurements of multiple inscribed squares and circles.

This task includes:
1. Task Description
2. Scoring Rubric
3. Scored Student Work
4. Unscored Student Work

Source
The Math Forum at Drexel

Subject
Mathematics

Grade Level
9, 10, 11, 12

Cooling Colas

In Cooling Colas, students predict how long it will take cola to cool down to the desired temperature.

This task includes:

Problem
Teacher Packet - the teacher packet provides an "answer check" and a range of sample solutions.
Trig/Calculus Rubric
Scenario - the scenario provides a story to help introduce the problem in a way that makes the mathematics as relevant as possible.

Source
The Math Forum at Drexel

Subject
Mathematics

Grade Level
9, 10, 11, 12

Extending the Enneagon

In Extending the Enneagon, students determine the meaure of an angle formed by extending two sides of an enneagon until they intersect. Elements of this problem are explored in Grade 7, when students “Use facts about supplementary, complementary, vertical, and adjacent angles in a multi- step problem to write and solve simple equations for an unknown angle in a figure.” Combining those concepts with properties of regular polygons is more likely tackled in high school.

This task includes:

Problem
Answer Check
Sample Solutions
Scoring Rubric

Source
Mathematics Assessment Project (MAP) by MARS: Shell Center, University of Nottingham & UC Berkeley

Subject
Mathematics

Grade Level
9, 10, 11, 12

Fearless Frames

In this task, students are asked to calculate the dimensions of a prism frame being built using a predetermined amount of metal.

This task includes:
1. Task Description
2. Scoring Rubric
3. Scored Student Work
4. Unscored Student Work

Source
Mathematics Assessment Project (MAP) by MARS: Shell Center, University of Nottingham & UC Berkeley

Subject
Mathematics

Grade Level
9, 10, 11, 12

Fruit Boxes

In this task, students are given box dimensions for a flat box and asked to calculate the largest volume possible.

This task includes:
1. Task Description
2. Scoring Rubric

Source
Mathematics Assessment Project (MAP) by MARS: Shell Center, University of Nottingham & UC Berkeley

Subject
Mathematics

Grade Level
9, 10, 11, 12

Proofs of the Pythagorean Theorem

In this task, students will analyze three attempts at proving the Pythagorean Theorem and select one as the best, explaining why.

This task includes:
1. Task Description
2. Scoring Rubric
3. Scored Student Work
4. Unscored Student Work

Pages

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