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Content
Content
Big Ideas:
Big Ideas:
If units are related, you can use that relationship to predict “how many” of one unit, if you know “how many” of the other.
If you use a bigger unit, you need fewer of them
Proportional reasoning is about unitizing, grouping it, counting the groups and thinking of comparisons multiplicatively.
Expectations:
Expectations:
B2.9 represent and create equivalent ratios and rates, using a variety of tools and models, in various contexts
Learning Goals
Learning Goals
Students will
Students will
Think of comparisons multiplicatively
Understand that if units are related you can use that relationship to predict “how many” of one unit, if you know “how many” of the other.
Success Criteria
Success Criteria
I can make predictions to calculate rates and ratios
I can think of comparisons multiplicatively
Materials
Materials
Cuisinaire rods
Vocabulary
Vocabulary
Multiplicative thinking is indicated by a capacity to work flexibly with the concepts, strategies and representations of multiplication (and division) as they occur in a wide range of context
Pedagogy
Pedagogy
Minds On
Minds On
Cuisinaire Rod Tasks to encourage proportional reasoning:
What single colour rods make a line as long as 4 orange rods?
A line of 8 one colour rods matches a line of 5 of another colour rid. What rods could you use?
A light green cuisinaire rod is worth 9 (or 15). What should the other rods be worth?
Action!
Action!
Consolidation Of Learning
Consolidation Of Learning
Using “The 5 Pratices of Math Discourse” https://www.curriculumassociates.com/blog/five-ways-to-promote-math-discourse
Consolidate the “Rates for internet” task.
Independent Task / Assessment Opportunities
Independent Task / Assessment Opportunities
SEL Self-Assessments (English) and Teacher Rubric
Technology
Technology
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