Math Lesson on Quick Images and Multiplicative Comparisons

Quick Images Activity

• Purpose: To visualize and draw mathematical concepts quickly.
• Process:
  • Show the image for 5-10 seconds.
  • Visualize and draw what you see.
  • Repeat the process two more times, adding to your visualization.
  • Discuss how it relates to math equations.
  • Different perspectives encouraged.

Visualization and Equations

• Example: Visualizing numbers using grouping.
  • Jose's Equation: 3x6 = 18 (3 groups of 6)
  • Tiandra's Equation: 9x2 = 18 (9 groups of 2)
  • Commutative Property: 9x2 and 2x9 show the same product using different groupings.
  • Kiera's Visualization: Demonstrates flip-flops (commutative property)

Arrays

• Concept: Combining rows and columns to form arrays.
  • Example: 6 by 3 array.
  • Purpose: Helps in understanding multiplication and counting faster.

Multiplicative Comparisons

• Objective: Understanding and using multiplicative comparisons.
• Example Problem:
  • Characters: Tiandra and Reese.
  • Task: Determine Reese’s apples if he picks four times as many as Tiandra who picked 7.
• Method:
  • Identify the characters and their actions.
  • Understand the problem and calculate using multiplication.
  • Visualization using a SMART Board activity.

Key Concepts Discussed

• Multiplicative Comparison:
  • Comparing amounts using multiplication (e.g., Reese picked 4 times as many apples as Tiandra).
• Repeated Words: "times as" appears in multiplicative comparison problems.
• Think-Pair-Share: A method to discuss and explore the meaning of multiplicative comparisons.

Story Problem with Visualization

• Example: Aliya’s sister and her dad’s height.
• Process: Finding how many times taller the dad is compared to Aliya’s sister.

Activity Outcome

• Understanding Multiplicative Comparisons:
  • Comparing two factors in a multiplication equation.
  • Using visualization and equations to solve problems.

Learning Outcomes

• Reinforcement of the commutative property.
• Application to real-world examples using multiplication in story problems.
• Various Representations of multiplication (e.g., arrays, groups, rows).

Closing Thoughts

• Importance: Understanding multiplicative comparisons aids in solving complex problems and understanding multiplication more deeply.
• Next Steps: Further exploration of multiplicative comparisons in future lessons.