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Common Core State Standards. Mathematical Practices. Common Core State Standards For Mathematics. Goals today: Become familiar with the Mathematical Practices and what they mean and look like in instruction Addition Strategies: Introduction and Practice
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Common Core State Standards Mathematical Practices
Common Core State StandardsFor Mathematics • 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
Mathematical Practices • 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: Individual Task • 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:Group 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.
Common Core State Standards “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 3 + = 7 35 + 67 300 1/2 + 2/3 = -136
Common Core State Standards 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 What is a number talk? 59 + 13 = ?
Mathematical Practices:In The Classroom • Number Talks
Common Core State Standards 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 StandardsMathematical Practices • 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