# Q3, W5: February 4th – 8th

Teacher Felicia Taylor Intensive Math 7th 23 Focus 3: Ratios and Proportional Relationships
Standard(s) Taught

MAFS.RP.7.1.2

Recognize and represent proportional relationships between quantities.

1. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table, or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
2. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
3. Represent proportional relationships by equations.  For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
4. Explain what a point (x, y) on the graph of proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
Learning Targets and Learning Criteria

Students are successful when they can…

• analyze ratios in a table to determine if the ratios are equivalent by finding the constant of proportionality.
• calculate the cross product to determine if the two ratios are in proportion (equivalent).
• graph ratios on a coordinate plane to determine if the ratios are proportional by observing if the graph is a straight line through the origin (y = kx, where k is the slope/ constant of proportionality).
• calculate the constant of proportionality/ unit rate from a table or diagram.
• calculate the constant of proportionality/ unit rate given a verbal description of a proportional relationship.
• compute the constant of proportionality/ rate of change (slope) from a graph of equation (k in y = kx).
• solve equations created from proportional relationship.
• define the rate of proportionality from a graph.
• explain that the y-coordinate divided by the x-coordinate for every point other than the origin equals the constant of proportionality.
Classroom Activities

Monday (1st & 4th Periods)

1. Review i-Ready Diagnostic Test Results for Window 2.
2. Select students will retake the Diagnostic Test in the Student Success Center.
4. Ratios/ Proportions Pennant Activity
5. Worksheets
1. Proportions Maze
2. Proportions Color by Number

Wednesday (1st & 4th Periods)

1. Constant of Proportionality Doodle Notes

Thursday (1st & 4th Periods)

2. Review – Constant of Proportionality
3. IXLs
1. 7-K.1 Find the constant of proportionality from a table
2. 7-K.2 Write equations for proportional relations from tables
3. 7-K.3 Identify proportional relationships by graphing
4. 7-K.4 Find the constant of proportionality from a graph
5. 7-K.5 Write equations for proportional relations from graphs
6. 7-K.6 Identify proportional relationships
Assignments Due

Summatives

None

Formatives

1. Worksheets
1. Ratios/ Proportions Pennant Activity
2. Proportions Maze
3. Proportions Color by Number
2. All i-Ready Online Assignment Quizzes
3. IXLS (first two IXLS due this week; other four are due next week)
1. 7-K.1 Find the constant of proportionality from a table
2. 7-K.2 Write equations for proportional relations from tables