Task Teacher Guide

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Students will demonstrate the concepts and skills that they have developed through this context and learning experience related to revealing rates and scale factors with the two types of ratios.

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The purpose of this assessment is for students to demonstrate their understanding of the following big ideas.

• There are two types of ratios; composed unit and multiplicative comparison;
• A composed unit is often (not always) a ratio with two distinct units;
• A composed unit can be scaled in tandem;
• Equivalent ratios are derived from the same rate;
• When you divide a composed unit through partitive division, you reveal a rate.
• Quotative division is applied when trying to determine a scale factor between two quantities/measures of the same unit (i.e. rice and rice, water and water);
• When you invert the dividend and the divisor in a quotative division sentence, the quotient (the revealed scale) has a reciprocal relationship (i.e., 4 1 = 4 ,1 4 = ¼ ).

The independent assessment will allow students to demonstrate concepts and skills related to the following learning goals:

• I will determine unknown quantities or measures based on a composed unit.
• I will reveal rates.
• I will reveal scale factors.
• I will demonstrate an understanding of the implication of both types of division when working with ratios.

Students might write and/or model their answers independently. Students can also be interviewed by their teacher.

An alternative assessment opportunity should be offered if this tool will not successfully capture what the student knows, understands or can do.

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Math Talk

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Assessment

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