SCALE Performance Task Database

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Domain (Math)

Operations & Algebraic Thinking (3) Apply Operations & Algebraic Thinking filter
Number & Operations—Fractions (1) Apply Number & Operations—Fractions filter
Geometry (11) Apply Geometry filter
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High School: Algebra—Creating Equations* (7) Apply High School: Algebra—Creating Equations* filter
High School: Algebra—Reasoning with Equations and Inequalities (2) Apply High School: Algebra—Reasoning with Equations and Inequalities filter
High School: Functions—Interpreting Functions (1) Apply High School: Functions—Interpreting Functions filter
High School: Functions—Building Functions (8) Apply High School: Functions—Building Functions filter
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High School: Geometry—Congruence (2) Apply High School: Geometry—Congruence filter
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High School: Geometry—Expressing Geometric Properties with Equations (1) Apply High School: Geometry—Expressing Geometric Properties with Equations filter
High School: Geometry—Geometric Measurement and Dimension (4) Apply High School: Geometry—Geometric Measurement and Dimension filter
High School: Geometry—Modeling with Geometry (1) Apply High School: Geometry—Modeling with Geometry filter

Math Cluster

Mathematical Practices

Source	Task
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 Mathematics Assessment Project (MAP) by MARS: Shell Center, University of Nottingham & UC Berkeley Subject Mathematics Grade Level 9, 10, 11, 12	Cubic Graph In this task, students will begin examining cubic equations. 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 3, 4, 5	Dad’s Cookies In Dad’s Cookies, students are asked to figure out how many cookies Dad baked for the family before they ate them all. The key concepts are fractions and addition. This task includes: Problem Teacher Packet - the teacher packet provides an "answer check" and a range of sample solutions. Scoring 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	Floor Pattern In this task, students will examine the properties of floor tiles. 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	Functions In this task, students are given a set of points on a graph and asked to develop both a quadratic and linear function that transect all points on the graph. 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	Funsize Cans In this task, students must find suggestions for cylindrical measurements of soda cans that contain a predetermined volume but have the smallest surface area. Similar to Best Size Cans, but with more guidance. 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	Giantburgers In this task, students will determine if a newspaper headline is true by examining the facts. This task includes: 1. Task Description 2. Scoring Rubric 3. Scored Student Work 4. Unscored Student Work

Source

Task

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

Subject
Mathematics

Grade Level
9, 10, 11, 12

Cubic Graph

In this task, students will begin examining cubic equations.

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
3, 4, 5

Dad’s Cookies

In Dad’s Cookies, students are asked to figure out how many cookies Dad baked for the family before they ate them all. The key concepts are fractions and addition.

This task includes:

Problem
Teacher Packet - the teacher packet provides an "answer check" and a range of sample solutions.
Scoring 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

Floor Pattern

In this task, students will examine the properties of floor tiles.

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

Functions

In this task, students are given a set of points on a graph and asked to develop both a quadratic and linear function that transect all points on the graph.

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

Funsize Cans

In this task, students must find suggestions for cylindrical measurements of soda cans that contain a predetermined volume but have the smallest surface area. Similar to Best Size Cans, but with more guidance.

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

Giantburgers

In this task, students will determine if a newspaper headline is true by examining the facts.

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

Pages

If you would like to recommend additional open-sourced performance task banks to be included in the database, or if you would like to report a broken link, please email Pai-rou Chen.