Rich Mathematical Tasks
Introduction
Rich mathematical tasks engage students in sense-making through deeper learning that require high levels of thinking, reasoning, and problem solving. The VDOE Rich Mathematical Task Committee, composed of mathematics teacher leaders from across the Commonwealth, created mathematically rich tasks aligned to the 2016 Mathematics Standards of Learning. The committee created task implementation templates prior to administering the tasks in classrooms. For many of the tasks, the committee scored the tasks individually, calibrated their scoring with a team, provided scoring rationales and selected student work to serve as anchor papers. The Virginia Department of Education would like to extend a special thank you to the Rich Mathematical Task Committee, as well as their colleagues who supported this work in their divisions.
Planning for Remote Implementation of Rich Mathematical Tasks
These resources, along with the Planning for Remote Implementation of Rich Mathematical Tasks guidance document, are provided to support teachers in implementing the 2016 Mathematics Standards of Learning in their classrooms. Teachers are encouraged to not only use these tasks with their students, but also to endeavor to implement them with fidelity by utilizing the detailed information provided in the task implementation templates.
Webinars to Support Remote Implementation of Rich Mathematical Tasks
- Implementing Rich Mathematical Tasks in the Grades K-2 Classroom - YouTube | PowerPoint
- Implementing Rich Mathematical Tasks in the Grades 3-5 Classroom - YouTube | PowerPoint
- Implementing Rich Mathematical Tasks in the Grades 6-8 Classroom - YouTube | PowerPoint
- Implementing Rich Mathematical Tasks in the Grades 9-12 Classroom - YouTube | PowerPoint
Kindergarten
Building Towers Task
- K.2ab Building Towers Task Template (Word) / PDF Version
- K.2ab Building Towers Student Version of Task (Word) / PDF Version
- K.2ab Building Towers Anchor Papers (Word) / PDF Version
- K.2ab Building Towers Anchor Papers Scoring Rationales (Word) / PDF Version
Picking Apples Task
- K.4ab Picking Apples Task Template (Word) / PDF Version
- K.4ab Picking Apples Student Version of Task (Word) / PDF Version
- K.4ab Picking Apples Anchor Papers (Word) / PDF Version
- K.4ab Picking Apples Anchor Papers Scoring Rationales (Word) / PDF Version
Sharing Cookies Task
- K.5 Sharing Cookies Task Template (Word) / PDF Version
- K.5 Sharing Cookies Student Version of Task (Word) / PDF Version
Shape Riddles Task
- K.10 Shape Riddles Task Template (Word) / PDF Version
- K.10 Shape Riddles Student Version of Task (Word) / PDF Version
Mixed Blocks Task
- K.12 Mixed Blocks Task Template (Word) / PDF Version
- K.12 Mixed Blocks Student Version of Task (Word) / PDF Version
Morning Routine Task
- K.13 Morning Routine Task Template (Word) / PDF Version
- K.13 Morning Routine Student Version of Task (Word) / PDF Version
Grade 1
Comparing Points Task
- 1.2b Comparing Points Task Template (Word) / PDF Version
- 1.2b Comparing Points Student Version of Task (Word) / PDF Version
Toy Cars Task
- 1.6 Toy Cars Task Template (Word) / PDF Version
- 1.6 Toy Cars Student Version of Task (Word) / PDF Version
- 1.6 Toy Cars Anchor Papers (Word) / PDF Version
- 1.6 Toy Cars Anchor Papers Scoring Rationales (Word) / PDF Version
Nature Walk Task
- 1.6 Nature Walk Task Template (Word) / PDF Version
- 1.6 Nature Walk Student Version of Task (Word) / PDF Version
Doubles Game Task
- 1.7b Doubles Game Task Template (Word) / PDF Version
- 1.7b Doubles Game Student Version of Task (Word) / PDF Version
Playing with Patterns Task
- 1.14 Playing with Patterns Task Template (Word) / PDF Version
- 1.14 Playing with Patterns Student Version of Task (Word) / PDF Version
How Can They Be Equal? Task
- 1.15 How Can they Be Equal Task Template (Word) / PDF Version
- 1.15 How Can they Be Equal Student Version of Task (Word) / PDF Version
- 1.15 How Can they Be Equal Anchor Papers (Word) / PDF Version
- 1.15 How Can they Be Equal Anchor Papers Scoring Rationales (Word) / PDF Version
Grade 2
Mystery Number Task
- 2.1a Mystery Number Task Template (Word) / PDF Version
- 2.1a Mystery Number Student Version of Task (Word) / PDF Version
Sticker Sets Task
- 2.1b Sticker Sets Task Template (Word) / PDF Version
- 2.1b Sticker Sets Student Version of Task (Word) / PDF Version
- 2.1b Sticker Sets Anchor Papers (Word) / PDF Version
- 2.1b Sticker Sets Anchor Papers Scoring Rationales (Word) / PDF Version
Bracelet Task
- 2.2c Bracelet Task Template (Word) / PDF Version
- 2.2c Bracelet Student Version of Task (Word) / PDF Version
- 2.2c Bracelet Anchor Papers (Word) / PDF Version
- 2.2c Bracelet Anchor Papers Scoring Rationales (Word) / PDF Version
Brownie Pans Task
- 2.4 Brownie Pans Task Template (Word) / PDF Version
- 2.4 Brownie Pans Student Version of Task (Word) / PDF Version
Talking Sticks Task
- 2.5a Talking Sticks Task Template (Word) / PDF Version
- 2.5a Talking Sticks Student Version of Task (Word) / PDF Version
- 2.5a Talking Sticks Anchor Papers (Word) / PDF Version
- 2.5a Talking Sticks Anchor Papers Scoring Rationales (Word) / PDF Version
Coins in Pocket Task
- 2.7ab Coins in Pocket Task Template (Word) / PDF Version
- 2.7ab Coins in Pocket Student Version of Task (Word) / PDF Version
- 2.7ab Coins in Pocket Anchor Papers (Word) / PDF Version
- 2.7ab Coins in Pocket Anchor Papers Scoring Rationales (Word) / PDF Version
How Many Tables Task
- 2.16 How Many Tables Task Template (Word) / PDF Version
- 2.16 How Many Tables Student Version of Task (Word) / PDF Version
Number of Students Task
- 2.17 Number of Students Task Template (Word) / PDF Version
- 2.17 Number of Students Student Version of Task (Word) / PDF Version
Grade 3
Packing Pencils Task
- 3.1a Packing Pencils Task Template (Word) / PDF Version
- 3.1a Packing Pencils Student Version of Task (Word) / PDF Version
- 3.1a Packing Pencils Anchor Papers (Word) / PDF Version
- 3.1a Packing Pencils Anchor Papers Scoring Rationales (Word) / PDF Version
Pizza Party Task
- 3.2abc Pizza Party Task Template (Word) / PDF Version
- 3.2abc Pizza Party Student Version of Task (Word) / PDF Version
Carnival Prizes Task
- 3.3ab Carnival Task Template (Word) / PDF Version
- 3.3ab Carnival Student Version of Task (Word) / PDF Version
Baskets of Apples Task
- 3.4b Baskets of Apples Task Template (Word) / PDF Version
- 3.4b Baskets of Apples Student Version of Task (Word) / PDF Version
Money in the Piggy Bank Task
- 3.6ab Money in the Piggy Bank Task Template (Word) / PDF Version
- 3.6ab Money in the Piggy Bank Student Version of Task (Word) / PDF Version
- 3.6ab Money in the Piggy Bank Anchor Papers (Word) / PDF Version
- 3.6ab Money in the Piggy Bank Anchor Papers Scoring Rationales (Word) / PDF Version
Polygon Puzzles Task
- 3.12bc Polygon Puzzles Task Template (Word) / PDF Version
- 3.12bc Polygon Puzzles Student Version of Task (Word) / PDF Version
Grade 4
Special Delivery Task
- 4.2ab Special Delivery Task Template (Word) / PDF Version
- 4.2ab Special Delivery Student Version of Task (Word) / PDF Version
Taco Tuesday Task
- 4.3cd Taco Tuesday Task Template (Word) / PDF Version
- 4.3cd Taco Tuesday Student Version of Task (Word) / PDF Version
Trip Transportation Task
- 4.4cd Trip Transportation Task Template (Word) / PDF Version
- 4.4cd Trip Transportation Student Version of Task (Word) / PDF Version
Pouring Paints Task
- 4.5c Pouring Paints Task Template (Word) / PDF Version
- 4.5c Pouring Paints Student Version of Task (Word) / PDF Version
- 4.5c Pouring Paints Anchor Papers (Word) / PDF Version
- 4.5c Pouring Paints Anchor Papers Scoring Rationales (Word) / PDF Version
Lunch at Leonardo’s Task
- 4.6b Lunch at Leonardo’s Task Template (Word) / PDF Version
- 4.6b Lunch at Leonardo’s Student Version of Task (Word) / PDF Version
Camping Combinations Task
- 4.8d Camping Combinations Task Template (Word) / PDF Version
- 4.8d Camping Combinations Student Version of Task (Word) / PDF Version
Exploring Quadrilaterals Task
- 4.12 Exploring Quadrilaterals Task Template (Word) / PDF Version
- 4.12 Exploring Quadrilaterals Student Version of Task (Word) / PDF Version
- 4.12 Exploring Quadrilaterals Anchor Papers (Word) / PDF Version
- 4.12 Exploring Quadrilaterals Anchor Papers Scoring Rationales (Word) / PDF Version
Equality Possibilities Task
- 4.16 Equality Possibilities Task Template (Word) / PDF Version
- 4.16 Equality Possibilities Student Version of Task (Word) / PDF Version
- 4.16 Equality Possibilities Anchor Papers (Word) / PDF Version
- 4.16 Equality Possibilities Anchor Papers Scoring Rationales (Word) / PDF Version
Grade 5
Saving for a Bicycle Task
- 5.4 Saving for a Bicycle Task Template (Word) / PDF Version
- 5.4 Saving for a Bicycle Student Version of Task (Word) / PDF Version
Room for Shoes Task
- 5.5b Room for Shoes Task Template (Word) / PDF Version
- 5.5b Room for Shoes Student Version of Task (Word) / PDF Version
- 5.5b Room for Shoes Anchor Papers (Word) / PDF Version
- 5.5b Room for Shoes Anchor Papers Scoring Rationales (Word) / PDF Version
Trail Mix Time Task
- 5.6ab Trail Mix Time Task Template (Word) / PDF Version
- 5.6ab Trail Mix Time Student Version of Task (Word) / PDF Version
Bus A or Bus B Task
- 5.11 Bus A or Bus B Task Template (Word) / PDF Version
- 5.11 Bus A or Bus B Student Version of Task (Word) / PDF Version
- 5.11 Bus A or Bus B Anchor Papers (Word) / PDF Version
- 5.11 Bus A or Bus B Anchor Papers Scoring Rationales (Word) / PDF Version
Angle Design Task
- 5.12 Angle Design Task Template (Word) / PDF Version
- 5.12 Angle Design Student Version of Task (Word) / PDF Version
Designing Windows Task
- 5.13 Designing Windows Task Template (Word) / PDF Version
- 5.13 Designing Windows Student Version of Task (Word) / PDF Version
- 5.13 Designing Windows Anchor Papers (Word) / PDF Version
- 5.13 Designing Windows Anchor Papers Scoring Rationales (Word) / PDF Version
Grade 6
Winning the Game Task
- 6.3 Winning the Game Task Template (Word) / PDF Version
- 6.3 Winning the Game Student Version of Task (Word) / PDF Version
Cookie Topping Task
- 6.5ab Cookie Topping Task Template (Word) / PDF Version
- 6.5ab Cookie Topping Student Version of Task (Word) / PDF Version
- 6.5ab Cookie Topping Anchor Papers (Word) / PDF Version
- 6.5ab Cookie Topping Anchor Papers Scoring Rationales (Word) / PDF Version
Smart Shopper Task
- 6.5c Smart Shopper Task Template (Word) / PDF Version
- 6.5c Smart Shopper Student Version of Task (Word) / PDF Version
Tracking Sharks Task
- 6.6b Tracking Sharks Task Template (Word) / PDF Version
- 6.6b Tracking Sharks Student Version of Task (Word) / PDF Version
Designing a Dog Park Task
- 6.7 Designing a Dog Park Task Template (Word) / PDF Version
- 6.7 Designing a Dog Park Student Version of Task (Word) / PDF Version
- 6.7 Designing a Dog Park Anchor Papers (Word) / PDF Version
- 6.7 Designing a Dog Park Anchor Papers Scoring Rationales (Word) / PDF Version
Pizza Delivery Task
- 6.8ab Pizza Delivery Task Template (Word) / PDF Version
- 6.8ab Pizza Delivery Student Version of Task (Word) / PDF Version
Screen Time Task
- 6.11 Screen Time Task Template (Word) / PDF Version
- 6.11 Screen Time Student Version of Task (Word) / PDF Version
- 6.11 Screen Time Anchor Papers (Word) / PDF Version
- 6.11 Screen Time Anchor Papers Scoring Rationales (Word) / PDF Version
Grade 7
Which Microscope Task
- 7.1b Which Microscope Task Template (Word) / PDF Version
- 7.1b Which Microscope Student Version of Task (Word) / PDF Version
The Bake Sale Fundraiser Task
- 7.2 Bake Sale Fundraiser Task Template (Word) / PDF Version
- 7.2 Bake Sale Fundraiser Student Version of Task (Word) / PDF Version
- 7.2 Bake Sale Fundraiser Anchor Papers (Word) / PDF Version
- 7.2 Bake Sale Fundraiser Anchor Papers Scoring Rationales (Word) / PDF Version
Shipping Box Task
- 7.4 Shipping Box Task Template (Word) / PDF Version
- 7.4 Shipping Box Student Version of Task (Word) / PDF Version
A Walk in the Park Task
- 7.6ab A Walk in the Park Task Template (Word) / PDF Version
- 7.6ab A Walk in the Park Student Version of Task (Word) / PDF Version
Spin, Spin, Spin Task
- 7.8 Spin, Spin, Spin Task Template (Word) / PDF Version
- 7.8 Spin, Spin, Spin Student Version of Task (Word) / PDF Version
Summer Passes Task
- 7.10 Summer Passes Task Template (Word) / PDF Version
- 7.10 Summer Passes Student Version of Task (Word) / PDF Version
- 7.10 Summer Passes Anchor Papers (Word) / PDF Version
- 7.10 Summer Passes Anchor Papers Scoring Rationales (Word) / PDF Version
Gardening Task
- 7.11 Gardening Task Template (Word) / PDF Version
- 7.11 Gardening Student Version of Task (Word) / PDF Version
Grade 8
The Principal’s Dilemma Task
- 8.4 Principal’s Dilemma Task Template (Word) / PDF Version
- 8.4 Principal’s Dilemma Student Version of Task (Word) / PDF Version
- 8.4 Principal’s Dilemma Anchor Papers (Word) / PDF Version
- 8.4 Principal’s Dilemma Anchor Papers Scoring Rationales (Word) / PDF Version
Monster Transformations Task
- 8.7ab Monster Transformations Task Template (Word) / PDF Version
- 8.7ab Monster Transformations Student Version of Task (Word) / PDF Version
Longest Path Task
- 8.9 Longest Path Task Template (Word) / PDF Version
- 8.9 Longest Path Student Version of Task (Word) / PDF Version
It’s Your Lucky Day Task
- 8.11 It’s Your Lucky Day Task Template (Word) / PDF Version
- 8.11 It’s Your Lucky Day Student Version of Task (Word) / PDF Version
- 8.11 It’s Your Lucky Day Anchor Papers (Word) / PDF Version
- 8.11 It’s Your Lucky Day Anchor Papers Scoring Rationales (Word) / PDF Version
Peanut Butter Task
- 8.12 Peanut Butter Task Template (Word) / PDF Version
- 8.12 Peanut Butter Student Version of Task (Word) / PDF Version
How Many Stones Will I Need Task
- 8.14 How Many Stones Will I Need Task Template (Word) / PDF Version
- 8.14 How Many Stones Will I Need Student Version of Task (Word) / PDF Version
- 8.14 How Many Stones Will I Need Anchor Papers (Word) / PDF Version
- 8.14 How Many Stones Will I Need Anchor Papers Scoring Rationales (Word) / PDF Version
Algebra I
Shopping Translations Task
- A.1ab Shopping Translations Task Template (Word) / PDF Version
- A.1ab Shopping Translations Student Version of Task (Word) / PDF Version
Flower Gardens Task
- A.2ab Flower Gardens Task Template (Word) / PDF Version
- A.2ab Flower Gardens Student Version of Task (Word) / PDF Version
Seesaw Fun Task
- A.4a Seesaw Fun Task Template (Word) / PDF Version
- A.4a Seesaw Fun Student Version of Task (Word) / PDF Version
Full Parking Lot Task
- A.4de Full Parking Lot Task Template (Word) / PDF Version
- A.4de Full Parking Lot Student Version of Task (Word) / PDF Version
- A.4de Full Parking Lot Anchor Papers (Word) / PDF Version
- A.4de Full Parking Lot Anchor Papers Scoring Rationales (Word) / PDF Version
Radical Rocks Task
- A.4ae Radical Rocks Task Template (Word) / PDF Version
- A.4ae Radical Rocks Student Version of Task (Word) / PDF Version
- A.4ae Radical Rocks Anchor Papers (Word) / PDF Version
- A.4ae Radical Rocks Anchor Papers Scoring Rationales (Word) / PDF Version
The Trampoline PartyTask
- A.5ac Trampoline Party Task Template (Word) / PDF Version
- A.5ac Trampoline Party Student Version of Task (Word) / PDF Version
- A.5ac Trampoline Party Anchor Papers (Word) / PDF Version
- A.5ac Trampoline Party Anchor Papers Scoring Rationales (Word) / PDF Version
Bicycle Savings Task
- A.6ab Bicycle Savings Task Template (Word) / PDF Version
- A.6ab Bicycle Savings Student Version of Task (Word) / PDF Version
The Soccer Competition Task
- A.7 The Soccer Competition Task Template (Word) / PDF Version
- A.7 The Soccer Competition Student Version of Task (Word) / PDF Version
- A.7 The Soccer Competition Anchor Papers (Word) / PDF Version
- A.7 The Soccer Competition Anchor Papers Scoring Rationales (Word) / PDF Version
We’re Playing Basketball Task
- A.9 Playing Basketball Task Template (Word) / PDF Version
- A.9 Playing Basketball Student Version of Task (Word) / PDF Version
Geometry
Logical Drivers Task
- G.1 Logical Drivers Task Template (Word) / PDF Version
- G.1 Logical Drivers Student Version of Task (Word) / PDF Version
Lines and Tigers and Bears, Oh My! Task
- G.2 Lines and Tigers and Bears, Oh My! Task Template (Word) / PDF Version
- G.2 Lines and Tigers and Bears, Oh My! Student Version of Task (Word) / PDF Version
Airshow Task
- G.3 Airshow Task Template (Word) / PDF Version
- G.3 Airshow Student Version of Task (Word) / PDF Version
Take Me Out to the Ball Game Task
- G.8 Take Me Out to the Ball Game Task Template (Word) / PDF Version
- G.8 Take Me Out to the Ball Game Student Version of Task (Word) / PDF Version
- G.8 Take Me Out to the Ball Game Anchor Papers (Word) / PDF Version
- G.8 Take Me Out to the Ball Game Anchor Papers Scoring Rationales (Word) / PDF Version
Sea Cities Task
- G.10 Sea Cities Task Template (Word) / PDF Version
- G.10 Sea Cities Student Version of Task (Word) / PDF Version
Shake, Rattle, and Roll Task
- G.12 Shake, Rattle, and Roll Task Template (Word) / PDF Version
- G.12 Shake, Rattle, and Roll Student Version of Task (Word) / PDF Version
- G.12 Shake, Rattle, and Roll Game Anchor Papers (Word) / PDF Version
- G.12 Shake, Rattle, and Roll Anchor Papers Scoring Rationales (Word) / PDF Version
Algebra II
Drone’s Best Friend Task
- AII.4 Drone’s Best Friend Task Template (Word) / PDF Version
- AII.4 Drone’s Best Friend Student Version of Task (Word) / PDF Version
Function of a Ride Task
- AII.6 Function of a Ride Task Template (Word) / PDF Version
- AII.6 Function of a Ride Student Version of Task (Word) / PDF Version
- AII.6 Function of a Ride Anchor Papers (Word) / PDF Version
- AII.6 Function of a Ride Anchor Papers Scoring Rationales (Word) / PDF Version
Animate It Task
- AII.6b Animate It Task Template (Word) / PDF Version
- AII6.b Animate It Student Version of Task (Word) / PDF Version
Wildfires Task
- AII.7afg Wildfires Task Template (Word) / PDF Version
- AII.7afg Wildfires Student Version of Task (Word) / PDF Version
- AII.7afg Wildfires Anchor Papers (Word) / PDF Version
- AII.7afg Wildfires Anchor Papers Scoring Rationales (Word) / PDF Version
Algae Attack Task
- AII.7g Algae Attack Task Template (Word) / PDF Version
- AII.7g Algae Attack Student Version of Task (Word) / PDF Version
Blank Task Template
- Blank Task Template (Word)
Rich Mathematical Task Rubric
Acknowledgments
The Virginia Department of Education would like to extend a special thank you to the Rich Mathematical Task Committee, as well as their colleagues who supported this work in their divisions.
- Candice Barkley, Henrico County Public Schools
- Jessica Brown, Gloucester County Public Schools
- Kaitlyn Bookbinder, Henrico County Public Schools
- April Cooke, Fairfax County Public Schools
- Kelly Day, Virginia Beach City Public Schools
- Michelle Deloach, Chesterfield County Public Schools
- Allison Crisher DePiro, Virginia Beach City Public Schools
- Katelyn Devine, Henrico County Public Schools
- Jenna Filipowicz, Virginia Beach City Public Schools
- Kris Gushue, Prince William County Public Schools
- Kelly Halpin, Fairfax County Public Schools
- Endia Hatcher, Portsmouth Public Schools
- Melanie Jenkins, Gloucester County Public Schools
- Jenny Jones, Hanover County Public Schools
- Tisha Jones, Portsmouth Public Schools
- Leslie Laden, Stafford County Public Schools
- Kimberly Lawrence, Hanover County Public Schools
- Lynn Meade, Henrico County Public Schools
- Kathryn Munson, Chesterfield County Public Schools
- Anna Papas, Stafford County Public Schools
- Sarah Porter, Suffolk Public Schools
- Candice Standley, Culpeper County Public Schools
- Donna Snyder, Roanoke City Public Schools
- Holly Tate, Alexandria City Public Schools
- David VanVleet, Fairfax County Public Schools