Welcome to

Rich Math Tasks

bit.ly/richtaskS

Some housekeeping items:

• Please sign in: bit.ly/SigninTech
• Please join the presentation: bit.ly/richtaskS
• Please rename yourself: Grade level, Name

Click on participants at bottom of screen

​

Select your name and click on more

Select rename

​

1

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

Rich Math Tasks

Join the presentation:

bit.ly/richtaskS

March 30, 2021

2

Please sign in:

bit.ly/SigninTech

​

facebook.com/windwardacademyforcte

@windwardacademyforcte

@windwardcte

Tag Us: #WindwardCTE

Janel Marr

Kailua-Kalāheo Math/STEM

Marcie Waki

Castle-Kahuku Math/STEM

Desired Outcomes

bit.ly/richtaskS

• Teachers will understand what is a rich math task.
• Teachers will engage with rich math tasks.
• Teachers will explore rich math task resources.

3

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

Agenda

bit.ly/richtaskS

• What is a Rich Math Task?
• Why use Rich Math Tasks?
• Characteristics of Rich Math Tasks
• 3 Act Math Tasks
• Benefits & Tips
• Resources

4

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

bit.ly/richtaskS

Tasks that require students to perform a memorized procedure in a routine manner lead to one type of opportunity for student thinking.

Tasks that demand engagement with concepts that stimulate students to make purposeful connections to meaning or relevant mathematical ideas lead to a different set of opportunities for student thinking.

​

​

​

​

5

Stein, et all, Implementing Standards-Based Math Instruction

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

Five Coins

bit.ly/richtaskS

​

Ben has 5 coins in his pocket.

How much money might he have?

​

​

6

Five Coins Task

NRICH Maths

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

What is a Rich Math Task?

7

• Open-ended/non-routine problems with multiple solutions
• Presented in words, number(s), picture, video, or puzzle
• Balanced approach to mathematics
• Builds conceptual understanding, problem-solving, and procedural fluency
• High level of cognitive demand
• Requires students to think abstractly in order to make connections to mathematical concepts
• Offers every student entry points & opportunities to engage in meaningful, rigorous mathematics
• Build multiple representations and justify reasoning
• Presented in an environment in which learners are not passive recipients of knowledge
• Independent assertive constructors of their own understanding who challenge and reflect

bit.ly/richtaskS

Linda Gojak, A Key to Deep Understanding: The Importance of Rich Tasks in K-12 Mathematics

SFUSD, Rich Math Tasks

Jennifer Piggott, Rich Tasks and Contexts

​

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

bit.ly/richtaskS

8

VS

Lara Candler, How to Turn a Word Problem into a Rich Math Task

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

Examples

bit.ly/richtaskS

9

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

Why Rich Math Tasks?

• Accessible to all students
• Low floor-high ceiling tasks/experiences
• Accessibility for all learners to enter from multiple entry points and develop multiple approaches and connections to mathematical concepts

​

• Engaging
• Sets the stage for exploration and discovery

​

• Offers every student opportunities to collaborate and engage in meaningful, deep mathematics through rich discussions
• Stimulate higher order mathematical thinking
• Creative problem solving and complex reasoning capacities
• Supports productive struggle
• Encourages creativity and builds authentic engagement and perseverance

​

​

10

bit.ly/richtaskS

SFUSD, Rich Math Tasks

Jennifer Piggott, Rich Tasks and Contexts

AMSI Calculate, What are ‘rich task’ in maths, and why are they important?

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

How Much To Buy?

bit.ly/richtaskS

How many packages of hot dogs and hot dog buns should he purchase so that there are no extra hot dogs or hot dog buns?

​

​

​

11

How Many Hot Dogs And Buns Should He Buy?

Robert Kaplinsky Lessons

​

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

Characteristics of Rich Tasks

bit.ly/richtaskS

12

Engaging

The context of a rich task is interesting to students. The task sets the stage for exploration and discovery.

​

Will my students find this task interesting enough to explore even if appears to be too difficult at first?

Requires Substantive Mathematics

The mathematical content necessary to solve the problem should be clear to you and developmentally appropriate for students. It should be accessible and aligned to the content and learning intention of the lesson.

​

Does this task align with the mathematics I want my students to learn? How will I check to ensure they have learned it?

Accessible for All

How can I adjust this task to meet the needs of different learning levels in my class?

Multiple Solution Paths

Allows students to be creative in their approach, to use multiple representations (physical, visual, symbolic, verbal and contextual), and to change paths when one approach to finding a solution is not successful.

​

What strategy/strategies might students use to complete this task?

​

Linda Gojak, A Key to Deep Understanding: The Importance of Rich Tasks in K-12 Mathematics

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

Characteristics of Rich Tasks

bit.ly/richtaskS

13

Multiple Solutions

The important aspect of this task is the mathematical thinking that leads to the response.

​

What solution(s) would I expect my students to find for this task? What types of questions can I ask that will support a rich classroom discussion?

Encourages Discourse

Encourages student discourse and additional questions among students as they work to reach a solution.

​

What questions will I ask students who are struggling with the task without telling them what to do? How will I support students who struggle to clearly explain their thinking?

Solution Process

Sets the stage for a solution process that is as important as the solution. The solution process that students use will help them recognize number patterns and use similar strategies with similar tasks.

​

What mathematical ideas will students take away from the solution process? How does it align with the content and mathematical practice learning intentions for the lesson?

Linda Gojak, A Key to Deep Understanding: The Importance of Rich Tasks in K-12 Mathematics

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

bit.ly/richtaskS

How do we turn the world outside the math classroom into a math problem that’s both fun and challenging, not boring?

14

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

3 Act Math Tasks

bit.ly/richtaskS

15

3 Act Math Task Tip Sheet

​

​

3 Act Math Task Guide

​

​

​

8 Standards for Mathematical Practice

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

Let’s Do a 3 Act Math Task

bit.ly/richtaskS

16

https://blog.mrmeyer.com/2016/3acdts-nissan-girl-scout-cookies/

https://www.101qs.com/3675-girl-scout-cookies

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

Facilitating Remotely

bit.ly/richtaskS

Graham Fletcher's Rich Math Tasks Remotely - Webinar Recording

17

Synchronous (Act 1)

​

Show rich math task

• Turn & talk
• Use Google slides (or a digital collaborative platform) to highlight students’ thinking

​

Asynchronous (Act 1)

​

Email or post the rich math task

• Use Google slides (or a digital collaborative platform) for each students to share & highlight their thinking
• Aim for accessibility for all students to respond

Facilitating Acts 2 & 3 for All Types of Settings:

• Use students’ responses for discussion & reflection
• Possible ways students can share work:
• Screenshot work & post on Google slides (or collaborative platform)
• Utilize Math Learning Center’s virtual manipulatives, then post work
• Student strategies opens for discussion:
• Ex: What’s the same? What’s different? What’s the most efficient strategies?
• Optional:
• Extend task
• Create small groups

Blended (Act 1)

​

Show rich math task

• Turn & talk or use breakout room
• Use Google slides (or a digital collaborative platform) to highlight students’ thinking

​

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

Benefits of Rich Math Tasks

bit.ly/richtaskS

1. Deepen understanding through real-world situations
2. Make math accessible to all students
3. Allow for multiple solution strategies
4. Integrate student collaboration and discussion
5. Engage students in learning and persevering

18

Curriculum Associates, Rich Math Tasks Flyer, 2019

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

Tips for Facilitation

bit.ly/richtaskS

1. Make time to go deep
2. Choose a method for showing & sharing work
3. Defer discussions about strategy until after students work on task
4. Teach students to represent solution visually
5. Provide time for students to solve on their own then collaborate with others
6. Facilitate collaborative conversations
7. Wrap up with whole class discussion

​

​

19

Laura Candler, How to Turn a Word Problem into a Rich Math Task

​

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

Tips for Crafting Rich Tasks

bit.ly/richtaskS

1. Start with a visual problem
2. Remove key words
3. Add extra details and information
4. Personalize It and Make it Real
5. Turn it into a multi-step problem
6. Change the numbers

​

​

​

20

Laura Candler, How to Turn a Word Problem into a Rich Math Task

​

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

Let’s Explore!

bit.ly/richtaskS

Explore the rich math tasks resources on our Windward District Math Corner - Rich Math Tasks

​

After browsing through the resources, please choose one bullet below and discuss it in your breakout room:

​

• A resource or rich math task you like & why
• A rich math task you are willing to try with your students in the upcoming week
• A ‘notice’ or ‘wonder’ about rich math tasks

​

​

21

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

Resources

bit.ly/richtaskS

• Rich Tasks - Free Lesson Plans
• Rich Math Tasks by Corwin for gr K-12
• What are ‘rich tasks’ in maths, and why are they important?
• Students Create Their Own 3 Act Math Task
• Student Record Sheet
• Gr K-2
• Gr 1 - 12
• Gr 1-12
• Gr 3 -12
• How to Turn a Word Problem Into a Rich Task
• Part 1
• Part 2

​

​

​

​

​

​

22

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

bit.ly/richtaskS

23

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

Next Steps

• Think Pair Share
• Co-plan number talks activities with a math RT
• I Do - You Do
• Math RT’s can provide a demonstration lesson
• Practice Makes Better
• Math RT’s can make classroom visits and provide feedback on the implementation of rich math tasks

24

We’re here to support you in implementing rich tasks!

bit.ly/richtaskS

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

Teacher Support Survey & Evaluation

​

bit.ly/richtaskS

Please click on the link below

bit.ly/RMTeval

25

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

Check Out Our New Additions

bit.ly/richtaskS

26

Windward District

Monthly Math Newsletter

Click Here

​

Math Corner

Click Here

ACADEMIC INTEGRATION TEAM

www.windwardcte.org

27

Connect with Us!

​

​

​

​

Follow us on these social media channels:

facebook.com/windwardacademyforcte

@windwardacademyforcte

@windwardcte

TAG US!

#WindwardCTE

www.windwardcte.org

46-169 Kamehameha Hwy, Kaneohe, HI 96744

windwardcteacademy@gmail.com

​