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Putting the K-2 Common Core Into Practice
Courtesy Be on time Cell phones on silent,
vibrate, or off Be mindful of side-
bar conversations Focus on the task at
hand
Norms
Collaborative Promote a sense
of inquiry Frame
meaningful questions
Pay attention of self and others
Assume positive intentions
Be reflective
Teachers will understand the 8 mathematical practices and how they apply to your grade level.
Teachers will understand the 12 problem types and how they can incorporate them into their teaching and most standards.
Teachers will be able to use and plan using the Year long Curriculum Map.
Teachers will be able to understand and use units developed over the summer.
Teachers will understand how Investigations will fit into their math instructions.
Today’s Outcomes
Video 8 mathematical practices Problem Types Lunch Year long curriculum map Breaking down a unit Investigations Questions
Agenda
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively. Construct viable arguments and
critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in
repeated reasoning.
Common Core8 Mathematical Practices
Why are these the first thing included in the Unpacking document?
How do the Mathematical Practices change from one grade level to the next?
In groups analyze the practice assigned to your group?
How does the rigor change from each grade level?
8 Mathematical Practices
K.OA.2- Solve additions and subtraction word problems, and add and subtract within 10
1.OA.1 Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions- equations with a symbol for the unknown number to represent the problem
2.OA.1 Use addition and subtraction within 100 to solve one and two step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions
What is the teacher’s role in developing problem solving in K-2nd
grade?
I have seven apples and Carla has four apples. How many more apples do I have than Carla?
I had seven apples and ate four apples. How many apples do I have left?
Turn and talk
How are these 2 problems different and how will students think about them differently?
Which problem types do you most often see in a typical text book and how can you assure that all problem types are mastered?
Turn and talk.
Problem Types
Add to/Take FromResult unknownChange unknownStart unknown
Put together/Take apartTotal unknownAddend unknownBoth addends unknown
CompareDifference unknownBigger unknownSmaller unknown
3 Types of problems:
These involve actions that increase or decrease a quantity.
Change occurs over time.oSam has 5 apples. Molly gave
Sam 2 more apples. How many apples does Sam have?
Add to/Take from or Join/Separate Problems
These problems do not use action verbs-action neither occurs nor is implied
Involve a comparison of “parts” (subset) with the “whole” (set)
The language does not suggest joining/operation based on relationship of subsets to set o15 chips are on the floor. 7 are red and the
rest are yellow. How many chips are yellow?
Put together/Take apart or Part-Part-Whole
Involve a comparison of two distinct, unconnected sets
Do not involve action Operation is based on the
relationship between the two sets Students need to understand more
than, less than, differenceo Taylor has fewer 8 fewer games than
Walker. Taylor has 11 games. How many games does Walker have?
Comparison Problems
What is the problem describing?
How can you write it down? How can you find the answer? What other questions should we ask our students?
Important questions to ask:
Carlton had three model cars. His father gave him four more. How many model cars does Carlton have now?
Janice has three stickers on her lunch box and four stickers on her book bag. How many sticker does she have in all?
There are nine board games in Joyce’s room. Mariah has six fewer board games than Joyce. How many board games does Mariah have?
Eric weighed 200 pounds. During the summer, he lost some weight. Now he weighs 180 pounds. How many pounds did Eric lose?
Grace has four CDs. Faye has eight more CDs than Grace. How many CDs does Faye have?
Identify the problem type for each problem and write an equation to solve it.
1. Strategies based on direct modeling with fingers or physical objects.
2. Strategies based on counting sequences.
3. Strategies based on number sense.These strategies are hierarchical- but they may be a different levels for different problem types.
3 Types of Strategies for solving these problems:
Carlton had three model cars. His father gave him four more. How many model cars does Carlton have now?
Janice has three stickers on her lunch box and four stickers on her book bag. How many sticker does she have in all?
There are nine board games in Joyce’s room. Mariah has six fewer board games than Joyce. How many board games does Mariah have?
Eric weighed 200 pounds. During the summer, he lost some weight. Now he weighs 180 pounds. How many pounds did Eric lose?
Grace has four CDs. Faye has eight more CDs than Grace. How many CDs does Faye have?
Which of the 3 strategies would your students most often use to solve these same problems?
Go to Cabarrus County site and look at year long curriculum map for your grade level.
Notice any changes or differences and where will problem types fit in this map.
Discuss with your group how this will work in your classroom.
Year long Curriculum Map
Kindergarten- Unit 1 First- Unit 2 for 1.OA.1 Second- Unit 1 for 2.OA.2• What do students need to know?• Where do the 8 mathematical practices fit?• What is stage 1, stage 2, stage 3 in the unit?• How will you teach this unit?• Where do the problem types fit into this
unit?
Breaking Down a Unit
Have you used Investigations in the past? Look at the Investigations Unit that matches
your problem solving standard. How are the lessons set up? What parts of the program seem most helpful? Does it fit with your understanding of math
workshop? How can you incorporate the games? How does it fit with the other resources you
currently use?
Investigations-How does this fit?K-Unit 1 , 1-Unit 3 , 2-Unit 1 or 3
Questions
