Part 1
What Does it Mean to Multiply?
What Does it Mean to Multiply?
TASK: What's the Difference?
TASK: What's the Difference?
Draw or build models for the following expressions:
Draw or build models for the following expressions:
NOTE: You can download and print a blank chart in which to draw your models by clicking here. Alternatively you could model these with virtual relational rods or colour tiles.
NOTE: You can download and print a blank chart in which to draw your models by clicking here. Alternatively you could model these with virtual relational rods or colour tiles.
Compare your drawings to one another.
Compare your drawings to one another.
Discuss:
Discuss:
- What ideas emerged about these operations?
- What ideas emerged about these operations?
- How did the meaning of 5 and 2 change when the operation changed to multiplication?
- How did the meaning of 5 and 2 change when the operation changed to multiplication?
WATCH: Different Situations, Same Operation
WATCH: Different Situations, Same Operation
3.02_Different Situations (#91).movTASK: Representing Multiplication Situations
TASK: Representing Multiplication Situations
Looking for a Summary?
Looking for a Summary?
To review the types of multiplication situations click here to view a digital handout.
To review the types of multiplication situations click here to view a digital handout.
For each type of multiplication problem listed in the handout above, draw a diagram to represent both the semantic structure of the problem (e.g. the way the situation is presented) and its context (e.g., the details of the situation).
For each type of multiplication problem listed in the handout above, draw a diagram to represent both the semantic structure of the problem (e.g. the way the situation is presented) and its context (e.g., the details of the situation).
You can print and record your drawings on a prepared handout. This handout can be accessed by clicking here.
You can print and record your drawings on a prepared handout. This handout can be accessed by clicking here.
Compare your drawings with others in your group.
Compare your drawings with others in your group.
Discuss:
Discuss:
- What similarities and differences do you observe?
- What similarities and differences do you observe?
- Do some diagrams more faithfully represent the situation than others?
- Do some diagrams more faithfully represent the situation than others?
- How might this help students better see the operation in the problem?
- How might this help students better see the operation in the problem?
