Standards for Mathematical Practice and Number Sense

Common Core Mathematics Standards: Grade K Watch the box!Keep your eyes on the boxHow did you see it? Record participants thinking in number sentences. Let them see what is done in the early grades and how it progresses to multiplication2Watch the box!How many dots did you see?Write a number sentence that shows how many

3Ten and some moreClick and then click again4Ten and some moreClick and then click again5Number SenseWhat do those two words mean to you ?

What concepts do your students struggle with?

How has the Common Core influenced what number sense means compared to before?

Math Games Make 10 use two cards and build it with cubes

Add and Compare. War with 2 cards

Snap It take 5 cubes and connect them. Wait for directions.

Close to 2

Close to 2Most kids will break away 2 then count what is leftE.g., 5-3 using a jigStar t with 5, put the 2 in the final boxDraw just one card at first, build it and then snap it off

Ten PlusDraw Two Number Cards and build them with cubes on your Ten FrameIf your sum is greater than 10 rewrite the equation as 10 + __. For example if your number cards are 7+5 you would write 7+5 = 10+2Keep your sums organized likeSums to 11Sums to 12Sums to 13, etc. 5+ 8 = 13 = 10+3

5 + 8 = 10 + 3Task analysisFor each task solve it

Use an equation and one other representation when you solve itTask Sort TableComplete the tableTask SortWhat do you notice about all/most of the tasks?

Difficult tasks?

Easy tasks?

What makes a task difficult/easy?

Algebra??? Really where ? Standards for Mathematical PracticeWhat are these?

Why do these matter? Tasks Mathematical PracticesThink about the tasks we exploredHow could we help students toMake sense and persevere while doing these?Model with an equation or representation?Attend to precision through communicating about strategies and mathematical ideas? Construct a viable argument or critique the reasoning of others?

Details of Mathematical TasksDoes the type of numbers that we choose matter?start with 83Subtract 40Subtract 12Subtract 19

Details of Mathematical TasksDoes the type of numbers that we choose matter?Lets do some mental mathLets start with 25Add 20Add 12Add 28

Number sense/algebraTalking about the math during gameBreaking numbers apart, putting them back togetherWild cardholding number in their headBenchmark numbersFluency with combinations, factsPlace value Mathematical PracticesHow do we incorporate these more frequently into our classrooms?

Pose cognitively-demanding tasksTalking with your students about the MPs (kid-friendly language)Talking with your colleagues about the MPsIncorporating these into assessment

Writing TasksChoose a CCSSM from your grade level- try to focus on OA or NBT DomainsWrite a few tasks that have some rigor and create the possibility of incorporating the Standards for Mathematical Practices.

Doing Mathematics- tasks that require students to pick a strategy to solve a real-world problem and then explain what they didExamplesA carpet is split into smaller sections that has 5 columns and 4 rows. If 2 of the sections have crates in them and the rest are empty, how many sections are empty?

There are 125 children in the cafeteria. 176 more children arrive. Five minutes later, 89 of the children are in line and the rest are sitting down. How many children are sitting down?Sharing TasksResources.DPI Math wikiUnpacking documentStandards for Math Practice explanationFormative assessment tasks1 unit on number sense per grade level Lessons for Learning (being revised this summer) Unpacking- MPs Unpacked

Show Me Demohttp://www.showme.com/sh/?h=0hl4iem Sharing TasksDrew Polly- Drew.polly@uncc.edu

Alexis Piciano- alexis.piciano@cms.k12.nc.us

http://elemath.pbworks.com Watch the box!Keep your eyes on the boxHow did you see it? Record participants thinking in number sentences. Let them see what is done in the early grades and how it progresses to multiplication28Watch the box!How many dots did you see?Write a number sentence that shows how many

29Ten and some moreClick and then click again30Can you find the value of the missing letters?

Approaches to finding the values?Can you find the value of the missing letters?

Can you find the value of the missing letters?

Can you find the value of the missing letters?

Fishing SituationsYou go fishing every day for a week.Each day you catch 2 more fish than the day before. Scenario 1:If you catch 1 fish on Day 1, how many fish will you catch each day? After 7 days how many fish will you have caught?

Fishing SituationsApproaches?Fishing SituationsYou go fishing every day for a week.Each day you catch 2 more fish than the day before.

Scenario 2: After 7 days you have caught 63 fish. How many fish did you catch each day?

Fishing SituationsApproaches?Fishing SituationsHow would your students do with these types of tasks?

What modifications would you need to make?