Module 3a: Culturally Responsive Math Modeling�SNACK SHARING
NSF Award 2010269, 2008997, 2010202, 2010178 �Contact eqstemm@gmail.com
Professional Learning Cycle �Adapted from Lampert et al., 2013; McDonald et al., 2013
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Participants will explore a snack sharing mathematical modeling by engaging in a task and watching a video of classroom enactment.
Participants will plan a snack sharing task and connect to their grade level standards.
Participants will enact the Snack Sharing task in their classrooms.
Participants will reflect on their enactment with the group and identify areas of strength, and adjustments for the next enactment.
What is Mathematical Modeling?
“Mathematizing the World” Routine
Introduce
Participants will explore a snack sharing mathematical modeling by engaging in a task and watching a video of classroom enactment.
Explore Snack Sharing at �https://eqstemm.org/tools/tasks/sharing-tasks/
Watch a video clip using the viewing guide for
Culturally Responsive
Math Modeling
Snack Sharing Task
Prepare
Participants will plan a Mathematizing the World routine related to an upcoming mathematical topic.
Planning a Snack Sharing Modeling Task
for your Students
Plan using this link https://eqstemm.org/tools/tasks/sharing-tasks/
Snack Sharing Variations (Building Up)
Start with a known amount
This is the snack we have. Is this enough? How long will it last?
Make a plan so it will last ___ days.
The school ordered 3 pizzas for our class. Is this enough? | We have a giant container of pretzels for snack. How many days will it last? Our | Our class has a giant bag of popcorn for snack. How many days will it last? | We have this box of fruit snacks to share for snack. How many days will they last?
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Your class gets a bag of mini oreos to share for a party. Will you have enough? Make a plan that shows how to share the cookies fairly. | Your class gets 4 giant containers of berries to share for snack. Make a plan so they will last a few days. | Your class gets a giant box of wheat thins for snack. Make a plan so they will last a few days. | We have these boxes of individual bags of goldfish. Will these snacks last all week? |
Snack Sharing Variations (Distributing) -Start with a single package)
How many packages/boxes do we need?
What if our class had a pizza party? How many pizzas would we need? | How many boxes of hot chocolate and bags of marshmallows do we need for 4th grade party? | How many bags of popcorn does our school need for the school movie night? | All the 2nd graders will make gingerbread houses. How many boxes of graham crackers do they need? |
The third grade has a field trip. They will bring granola bars for snack. How many boxes do they need? | How many boxes of goldfish bags do we need for our class snack time? | We will have pirate booty for snack with our reading buddies. Each package has 6 bags. How many packages do we need? | How many marshmallows do we need to buy for the 4th grade camping trip? |
Snack Sharing at Different Grade Levels
Grade | Snack Item | Modeling Question | Standards Connections |
Kinder or 1st | | This is one package of goldfish bags. How many packages do we need for snack for our class? This is one box of granola bars. How many boxes do we need for snack for our class? | K.OA.1 Represent addition and subtraction with objects, fingers, mental images, drawings etc. K.OA. 2 Solve addition and subtraction word problems by using objects or drawings to represent the problem. 1.OA.1 Use addition and subtraction within 20 to solve word problems .. using objects drawings, and equations. 1.OA.2 Solve word problems that call for addition of 3 whole numbers with sum less than 20 using objects, drawings, equations. 1.NBT.4 Add within 100, adding a 2-digit number and a 1 digit number using models or drawings. |
1st or 2nd | | This is one box of ritz crackers. There are 8 stacks of crackers in the box. What is a fair way to share this box of crackers for snack? | 1.NBT.4 Add within 100, adding a 2-digit number and a 1 digit number using models or drawings. 2.OA.1 Use addition and subtraction within 100 to solve 1 and 2 step problems using drawing, equations. 2.NBT.5. Fluently add and subtract within 100 using strategies based on place value. |
2nd or 3rd | | This is one package of fruit snacks. How many days will this last our class for snack? This is one package of goldfish bags. How many days will this last our class for snack? | 2.NBT.5. Fluently add and subtract within 100 using strategies based on place value. 2.NBT.6. Add up to 4 two-digit numbers using strategies based on place value. 3.OA.8 Solve two step word problems using four operations. 3.NBT.2 Fluently add and subtract within 1000 using strategies and algorithms. |
Snack Sharing at Different Grade Levels
Grade | Snack Item to Share | Modeling Question | Standards Connections |
2nd or 3rd | | Both 3rd grade classes are going on a field trip. They want to have cheez-its for snack. This is one box of cheez-it cracker bags. How many boxes do we need for the field trip? | 2.NBT.5. Fluently add and subtract within 100 using strategies based on place value. 2.NBT.6. Add up to 4 two-digit numbers using strategies based on place value. 3.OA.8 Solve two step word problems using four operations. 3.NBT.2 Fluently add and subtract within 1000 using strategies and algorithms. 3.OA.3 Use multiplication and division to solve word problems in situations involving equal groups by using drawings and equations. |
3rd or 4th | | This is one box of cheeto bags and one box of goldfish bags. How many boxes of each do we need so that our class can have snack this week? | 3.OA.3 Use multiplication and division to solve word problems in situations involving equal groups by using drawings and equations. 4.OA.3 Solve multistep word problems using whole numbers using four operations, including where remainder must be interpreted. |
3rd, 4th, 5th, or 6th | | This is one giant container of animal cookies. How many days will this last our class for snack? | 3.NBT.2 Fluently add and subtract within 1000 using strategies and algorithms. 3.OA.3 Use multiplication and division to solve word problems in situations involving equal groups by using drawings and equations. 4.OA.3 Solve multistep word problems using whole numbers using four operations, including where remainder must be interpreted. 4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm. 4.NBT.5 Multiply a whole number of up to 4 digits by a 1 digit number using strategies based on place value. 5.NBT.5 Fluently multiply multi-digit whole digit numbers with the standard algorithm. 6.EE.B.6: Use variables to represent numbers and write expressions when solving a real-world or mathematical problem |
Snack Sharing at Different Grade Levels
Grade | Snack Item to Share | Modeling Question | Standards Connections |
3rd, 4th, or 5th 4th, 5th, or 6th | | This is a giant container of pretzels. How many days will it last our class for snack? This is a giant container of animal crackers. How many days will it last our class for snack? | 3.NBT.2 Fluently add and subtract within 1000 using strategies and algorithms. 3.OA.3 Use multiplication and division to solve word problems in situations involving equal groups by using drawings and equations. 4.OA.3 Solve multistep word problems using whole numbers using four operations, including where remainder must be interpreted. 4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm. 4.NBT.5 Multiply a whole number of up to 4 digits by a 1 digit number using strategies based on place value. 5.NBT.5 Fluently multiply multi-digit whole digit numbers with the standard algorithm. 5.NBT.6 Find whole number quotients up to 4-digit dividend and 2-digit divisors using strategies based on place value. 6.NS.B.2 Fluently divide multi-digit numbers using the standard algorithm |
4th, 5th, or 6th | | How many boxes of hot chocolate and how many bags of marshmallows do we need for 4th grade winter party? | 4.OA.3 Solve multistep word problems using whole numbers using four operations, including where remainder must be interpreted. 4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm. 4.NBT.5 Multiply a whole number of up to 4 digits by a 1 digit number using strategies based on place value. 5.NBT.6 Find whole number quotients up to 4-digit dividend and 2-digit divisors using strategies based on place value. 6.EE.B.7 Solve real world and mathematical problems by writing and solving equations |
4th and 5th | | These are all the snacks that our class has to share. How many days will these snacks last? | 4.OA.3 Solve multistep word problems using whole numbers using four operations, including where remainder must be interpreted. 4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm. 5.NBT.6 Find whole number quotients up to 4-digit dividend and 2-digit divisors using strategies based on place value. 6..NS.B.2 Fluently divide multi-digit numbers using the standard algorithm |
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One benefit of snack sharing tasks is that the plans and models students generate can be tested and validated by the class.
Sharing Task: Modeling Question | |
Student Connections to the Situation: | |
Important Quantities: | Image of snack |
Assumptions | |
Anticipate Student Strategies (pictures, equations, words) | |
Enact
Participants will enact the Snack Sharing Task in their classrooms
Enact (Monitoring Students’ Modeling Competencies)
Analyze & Reflect
Participants will reflect on their enactment with the group and identify areas of strength, and adjustments for the next enactment
Reflective Prompts