Mathematical Practices. Goals today: ◦ Become familiar with the Mathematical Practices and what...

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