examples: authentic tasks: mathematics (Authentic Assessment Toolbox)

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Mathematics - High School

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Algebra

Honors Algebra II - Polynomial Unit
- Introduction
- Standards
- Distinguish between correct & incorrect (formative)
- Effectively explain and/or correct (formative)
- Effectively critiquing work (formative)
- Effectively critiquing work (summative)
- Completing the square team challenge
- The birthday polynomial project
- Graphing polynomials by parts
- i task assessment
- Polynomial division

Exploring Quadratics with Fireworks! Unit - developed by Jackie Pfeiffer and Deborah Walford
Algebra I - Math in the Real World - developed by Kelly Muzzy and Lori Schramm
- Classroom enhancement project: Task / Rubric / Standards
- "A collage of math" project: Task / Rubric / Standards
- Planning your dream vacation: Task / Rubric
- Infomercial project: Task / Rubric / Standards / Topic approval form
- Math book: Task / Rubric / Standards
- Research on mathematicians: Task / Rubric / Standards

Algebra Tasks and Rubrics - developed by Katy Resch

Geometry

Introductory Unit (patterns, basic geometric shapes, intro to logic and proofs) - developed by Jason Nikowitz
- Introduction
- Standards
- Formative assessments building the skills of effectively critiquing the work of others
- Partner pattern critique
- Partner counterexample
- Conditional statements creation
- Logical argument story
- Real world geometric figures
- Real world algebraic examples
- Partner proofs and counterexamples

Area, Perimeter, and Volume Unit - developed by Jesus Aguilar
- Project introduction
- Standards
- Perimeter of rooms task
- Area of rooms task
- Ratio task
- Repainting rooms task (surface area)
- Remodel bathroom task
- Choose a pool task
- Retile shower task
- Culmunating house task
- Compare and contrast solutions task
- Peer evaluation task
  - Formative tasks building to peer evaluation task

Area Unit - developed by Larissa Rottersman
- Project introduction
- Perimeter and area quadrilaterals task
- Perimeter and area of triangles task - after the summative assessment, find five formative tasks that build the skill of "examining work to find mistakes" captured in the summative assessment
- Circumference and area of a circle task
- Compound areas of two dimensional figures task
- Areas of two-dimensional figures task

Volume Unit - developed by Larissa Rottersman

Geometry Unit - developed by Kristin Cuzzone

Cereal Box Project (surface area and volume) - developed by Braden Kass and Andriani Liosatos
- Cereal Box Project
  - Project introduction
  - Task 1: Creating your cereal box
    - Net Form template
  - Task 2: Cereal prediction
  - Task 3: Finding the surface area
  - Task 4: Finding the cost of your materials
  - Task 5: Finding the volume of the cereal box
  - Task 6: Volume and cost of the cereal
  - Task 7: Total cost of your cereal box
  - Task 8: Evaluation of your peers
  - Task 9: Reflection
  - Rubrics for Tasks 1-9
- Miscellaneous Assessments
Variety of Topics - developed by Kari Kleckauskas

Measuring in the Plane and Space Unit - developed by Carrie Klein

Geometry Tasks and Rubrics - developed by Ryan Passaglia and Brian Seaver

Lower-level Geometry

Two-dimensional Figures Unit - developed by Marissa Rakes

Area Unit - developed by Marissa Rakes

Academy Geometry - developed by Tony Schlorff

Unit one: Trigonometry - developed by Carole Kristensen
- Matrix of standards and tasks
- Similar triangles
- Discovering trigonometry
- Trigonometric functions
- Inverse trigonometric functions
- Angle of elevation/depression
- Write your own word problems
- Angle of the sun
- Journal
- Surveying a ropes course
- Law of sines
Unit two: Area - developed by Carole Kristensen
- Matrix of standards and tasks
- Tangrams
- Circumference lab
- Test on area
- Architechture portion of unit -- See Portfolio

Probability and Statistics

Statistics Unit in Algebra II course - developed by Heidi Heslinga
- Introduction
- Standards
- Sampling methods
  - Analyze a poll and rubric
  - Design and conduct a poll and rubric
  - Identify and explain bias and rubric
- The normal distribution
  - ACT scores and rubric
  - Fair curve and rubric
  - Error analysis and rubric
  - Journal question and rubric
- The binomial distribution
  - Journal question and rubric
  - Normal approximation and rubric
  - Binomial distribution and rubric
- Confidence interval
  - Confidence intervals and rubric
  - Journal question and rubric
- Pollster's unit
  - Unit test and scoring guide

Probability and Statistics Projects - developed by Kelly Muzzy and Lori Schramm
- Statistics in the newspaper: Task / Rubric / Standards
- Probability scavenger hunt: Task / Rubric / Standards
- Statistics survey project: Task / Rubric / Standards
- Toy store project: Task / Rubric / Standards

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Copyright 2025, Jon Mueller. Professor of Psychology, Emeritus, North Central College, Naperville, IL. Comments, questions, or suggestions about this website should be sent to the author, Jon Mueller, at jfmueller@noctrl.edu.