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Common Core State Standards
Mathematical Practices
Goals today:
◦ Become familiar with the Mathematical Practices and what they mean and look like in instruction
◦ Addition Strategies: Introduction and Practice
◦ Number Talks: Demonstration, Video, Planning
Common Core State StandardsFor Mathematics
Clear and specific standards designed to replace curriculums that are “a mile wide and an inch deep”
Based on research about how students learn mathematics
Focus on students understanding the math they do
Common Core State StandardsFor 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.
Mathematical Practices
Read the mathematical practice assigned.
Make notes about what the words mean to you and what it looks like in the classrooms for your grade span.
Be ready to share in 5 minutes.
Mathematical Practices: Individual Task
Using your collective information, create a poster to illustrate the practice and what it looks like at your grade levels.
Leave room for others to add ideas.
Label the poster with the Mathematical Practice and the Grade Span.
Post your charts so they are spaced around the room.
Mathematical Practices:Group Task
Expert groups:
◦ Count off within your group A, B, C, etc.
◦ As, Bs, Cs, etc. will walk around together and view each poster.
◦ The ‘expert’ who helped to make the poster shares the Mathematical Practice with the group.
◦ Add any relevant information to each poster that your group discusses.
Mathematical Practices:Group Task
“Standards for Mathematical Content are a balanced combination of procedure and
understanding.”
Common Core State Standards, p. 2
Common Core State Standards
“In short, a lack of understanding effectively prevents a student from engaging in
mathematical practices.”
Common Core State Standards, p. 2
Common Core State Standards
Common Core State Standards
3 + = 7 35 + 67
Common Core State Standards
300 1/2 + 2/3 = -136
59 + 13 =
Common Core State Standards
Addition Strategies:
◦ Branching
◦ Decomposing
◦ Partial Sums
◦ Bridging
Common Core State Standards
Branching Strategy:
9 + 7+ 1 + 8 + 6 + 8 = ☐
78 + 56 = ☐ 262 + 425 = ☐
Common Core State Standards
Decomposing Strategy:
8 + 7 = ☐
56 + 35 = ☐
262 + 425 = ☐
Common Core State Standards
Partial Sums Strategy:
56 + 35 = ☐
768 + 597 = ☐
Common Core State Standards
Bridging Strategy:
57 + 35 = ☐
68 + 59 = ☐
397 + 286 = ☐
Common Core State Standards
59 + 13 =
Common Core State Standards
Task:Using the construction paper, make a
poster for each strategy that clearly demonstrates use of the strategy.
Utilize strategy hand-out.
Hang posters back in your classroom for student reference once the strategy is introduced.
Common Core State Standards
Common Core State Standards
What is a number talk?
59 + 13 = ?
Common Core State Standards
Number Talks
Mathematical Practices:In The Classroom
Number Talks:
Classroom Environment and Community
Classroom Discussions
The Teacher’s Role
The Role of Mental Math
Purposeful Computation Problems
Common Core State Standards
“We can’t teach what we don’t know, and we can’t teach well what we don’t understand.”
~ Marilyn Burns
Common Core State Standards
Reflect on Today’s Goals:
◦ Become familiar with the Mathematical Practices and what they mean and look like in instruction
◦ Addition Strategies: Introduction and Practice
◦ Number Talks: Demonstration, Video, Planning
Common Core State StandardsMathematical Practices
