LONG + LIVE + MATH Content Academies

Proportional Reasoning (M-C-212)


Description
We’re excited to share with you our best practices for experiencing mathematics in a learner-centered,
standards-based classroom. During this Math Academy, you will deepen your understanding of proportional
reasoning, make connections between representations, and consider the implications for your own
classroom.

By the conclusion of the Proportional Reasoning Math Academy, you will be able to:
• Differentiate high- and low-level tasks and their implications for learning.
• Understand ratio concepts and use ratio reasoning to solve problems.
• Analyze proportional relationships and use them to solve real-world and mathematical problems.
• Recognize connections between proportional relationships, lines, and linear equations.
• Make connections between content-deepening tasks, the MATHia®, and classroom instruction.
• Understand the Standards for Mathematical Practice and how they can be addressed through high-level tasks and student-centered instruction.

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PD Hours: 20

Content
  • Welcome to Proportional Reasoning (1/2 hr)
  • Welcome to Proportional Reasoning
  • MATHia: Getting Started
  • Ratio Representations: Equivalent Ratios (2 hrs)
  • The Fightin' _____?
  • Discussion Board: The Fightin' _____?
  • Discussion Board: Subtraction as a Comparison
  • Writing Representations
  • Comparing Two Quantities: Ratios Chart
  • Comparing Two Quantities: Check Your Understanding
  • Draw It: Quiz Bowl Part 1
  • Quiz Bowl: Error Analysis (Tia and Lisa)
  • Flipgrid: Quiz Bowl
  • Quiz Bowl Part 2
  • Looking Through the Teacher Lens
  • MATHia: Getting Started
  • Ratio Representations: Scaling Up and Down (1 hr)
  • Defining Proportions
  • Padlet Scaling Up and Down
  • Scaling Up and Down
  • 3-Act Math: Nana's Chocolate Milk Act 1 (Dan Meyer)
  • 3-Act Math: Nana's Chocolate Milk Act 2 (Dan Meyer)
  • 3-Act Math: Nana's Chocolate Milk Act 3 (Dan Meyer)
  • Looking Through the Teacher Lens
  • Ratio Representations: Double Number Lines, Table and Graphs (2 1/2 hrs)
  • Oh Yes, I am the Muffin Man: Pictorial Representation
  • Oh Yes, I am the Muffin Man: Double Number Line
  • MATHia: Problem Solving using Double Number Lines
  • Draw It: A Trip to the Moon
  • Mixing Paint Exploration
  • Mixing Paint Check for Understanding and Addressing Misconceptions
  • MATHia: Problem Solving using Tables
  • Draw It and Share: Using Water to Clean
  • Shower vs. Bath (Dan Meyer)
  • 3 Act: Shower vs. Bath (Dan Meyer)
  • MATHia: Problem Solving using Graphs
  • Flipgrid: Ratios Graphic Organizer
  • Looking Through the Teacher Lens
  • LIVE Session: Mathematical Discourse & Connections
  • Synchronous Session: Mathematical Discourse and Connections
  • End of Session Survey (Live Session)
  • Ratio Representations: Unit Rates (2 hrs)
  • Discussion Board: Would You Rather?
  • Using Unit Rates to Determine the Best Buy
  • A Special on Unit Rates in Aisle 9
  • Comparing Ratios
  • Comparing Ratios
  • Padlet: Making Punch Part 1
  • Making Punch Part 2
  • MATHia: Determining and Comparing Unit Rates
  • Looking Through the Teacher Lens
  • Ratios and Proportions (1 1/2 hrs)
  • The Coyote and the...Ostrich?
  • The Coyote and the...Ostrich?
  • Padlet: The Coyote and the...Ostrich?
  • Quality Control
  • Quality Control
  • Quality Control
  • MATHia: Solving Proportions
  • Looking Through the Teacher Lens
  • Using Proportions to Solve Problems (1 hr)
  • Exploration: Estimating Population Size
  • (To be created) Padlet: Estimating Population Size
  • Strategy Safari Poll
  • Flipgrid: Strategy Safari
  • Looking Through the Teacher Lens
  • LIVE Session: Mathematical Discourse & Connections
  • Synchronous Session: Mathematical Discourse and Connections
  • End of Session Survey (Live Session)
  • Direct Variation and Proportionality (2 hrs)
  • Building Feeders
  • Direct Variation
  • Top of the Charts Part 1
  • Constant of Proportionality
  • Top of the Charts Part 2
  • MATHia: Converting Between Forms of Proportional Relationships
  • Related Rectangles: Part 1 Instructions
  • Related Rectangles: Part 1
  • Related Rectangles: Part 2 Instructions
  • Related Rectangles: Part 2
  • Looking Through the Teacher Lens
  • Determining the Constant of Proportionality (2 hrs)
  • Is There a Constant of Proportionality?
  • Running a Marathon
  • MATHia: Writing Proportional Relationships with Equations
  • Draw It: Equations, Tables and Graphs - Oh My! Part 1
  • Equations, Tables and Graphs - Oh My! Part 2
  • Equations, Tables and Graphs - Oh My! Part 3
  • Flipgrid: Talk the Talk Graphic Organizer
  • Looking Through the Teacher Lens
  • LIVE Session: Mathematical Discourse & Connections
  • Synchronous Session: Mathematical Discourse and Connections
  • End of Session Survey (Live Session)
  • Closing Activities
  • End of Course Survey (Academy)
  • IFrame_1617301281
Completion rules
  • All units must be completed
  • Leads to a certification with a duration: 3 years
Prerequisites