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• Standards for Mathematical Practice 1, 2, 3, 4, 6• Adding a One Task• Standards for Mathematical Practice 5• Standards for Mathematical Practice 7• Standards for Mathematical Practice 8• Comparing Expressions Task

Technology Policy

Out of respect for the nature of our collaboration and thinking together, please limit the use of Cell Phone and other communicative technology strictly to break times and before and after class.

Bring your ideas…• As a group of professionals we have made a

commitment to helping children attain success in life and a voice in the world.– Many times the best part of these kinds of professional

development is simply the chance to share ideas, raise questions, and work with other practitioners to improve our own understandings and practice.

– Please bring your stories of children’s learning, children’s struggles, and children’s successes with you.

What’s Golden

Common Core SMP

The Standards for Mathematical PracticeStudent Reasoning and Sense Making about Mathematics

1. Make sense of problems and persevere in solving them.2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of

others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.

The Standards for Mathematical PracticeStudent Reasoning and Sense Making about Mathematics

Adding a One Task1) On Saturday, 5 girls and 5 boys came to the swimming pool. How many children were there?2) On Sunday, 5 girls and 6 boys came to the swimming pool. How many children were there? How can you use your work on the first problem to help you with the second problem? 3) Explore what would happen if you had a multiplication problem such as 7 × 5 and you added one to a factor. Show your ideas in a drawing.

Adding a One TaskAlice Kaye, a 3rd grade teacher, posted the following pairs of problems for the class to solve and asked them what they noticed about the problems.

7 + 5 = 12 7 + 5 = 127 + 6 = ___ 8 + 5 = ___

9 + 4 = 13 9 + 4 = 139 + 5 = ___ 10 + 4 = ___

Video – Part 1

Adding a One TaskThe teacher presented the class with these problems (including the products) and provided the prompt, “In a multiplication problem, if you increase one of the factors by 1, I think this will happen to the product: ___________________.”

7 5 = 35 7 5 = 357 6 = 42 8 5 = 40

9 4 = 36 9 4 = 369 5 = 45 10 4 = 40

Video – Part 2 Video – Part 3 Video – Part 4

SMP #5

Use Appropriate Tools Strategically

"Explore and deepen understanding of concepts using tools.“

SMP #7

Look For and Make Use of Structure

"Shift perspectives to discern a pattern or structure."

SMP #8

Look For and Express Regularity in Repeated Reasoning

"Maintain oversight of the process, while attending to the details."

Comparing ExpressionsWithout doing any calculations, within each set below, what do you know about the relationship between the products for the given expressions?

Set 1 4 × 15 2 × 30 8 × 15 4 × 30 8 × 30

Set 2 9 × 14 18 × 7 18 × 14 9 × 28 18 × 28

Set 3 12 × 42 6 × 84 24 × 42 12 × 84 24 × 84

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