# Q3, W2: January 13th – 17th

Teacher Felicia Taylor Intensive Math 7th 20 Focus 3: Ratios and Proportional Relationships
Standard(s) Taught

MAFS.7.RP.1.1

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units.  For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.

MAFS.7.RP.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.
4. Explain what a point (x, y) on the graph of a 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:

• compute a unit rate by iterating (repeating) or partitioning given rate.
• compute a unit rate by multiplying or dividing both quantities by the same factor.
• explain the relationship between using composed units and a multiplicative comparison to express a unit rate.
• use measures of lengths and areas to calculate unit rates with the given context.
• calculate the cross product to determine if the two ratios are in proportion (equivalent).
• analyze ratios in a table to determine if the ratios are equivalent by finding the constant of proportionality.
• 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.
• compute the rate of change/ slope from a graph or equation (k in y=kx).
• write an equation from a proportional relationship.
• calculate the unit rate by identifying that on a graph when the x-coordinate is 1, the y-coordinate is the unit rate.
Classroom Activities

Monday (4th Period) / Tuesday (8th Period)

2. MathSpace
1. Unit Rate
2. Writing Proportions
3. Finish missing/ incomplete work for Ms. Barnes 7th Grade Math Class

Wednesday (4th and 8th Periods) Early Release Day – Short Class Period

1. Review – kahoot!
1. Unit Rate
2. Writing Proportional Relationships
3. Constant of Proportionality – tables & graphs

Thursday (4th Period) / Friday (8th Period)

2. MathSpace
1. Identifying Proportional Relationships
2. Proportional Relationships in the Coordinate Plane
3. Review – Integers and Absolute Value
4. Review – Integer Addition and Subtraction
Assignments Due

Summatives

None

Formatives

MathSpace

1. Unit Rate
2. Writing Proportional Relationships
3. Identifying Proportional Relationships
4. Proportional Relationships in the Coordinate Plane
5. Review – Integers and Absolute Value
6. Review – Integer Addition and Subtraction