# Q3, W7: February 19th – 22nd

Teacher Felicia Taylor Intensive Math 7th 25 Focus 3: Ratios and Proportional Relationships
Standard(s) Taught

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.  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.

MAFS.7.RP.1.3

Use proportional relationships to solve multi-step ratio and percent problems.

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.
• solve percent problems when one quantity is a certain percent more or less than another.
• use proportional reasoning to solve real-world percent problems, including those with multiple steps, such as markups, markdowns, commissions, and fees.
• recall conversion of percent’s from ratio to decimal to percent form.
• solve percent of increase/ decrease problems.
Classroom Activities

Monday (1st & 4th Periods)

1. Bellringer – Proportional Relationships
2. kahoot! – Proportional Relationships
3. Finish IXLs from last week
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 relationships from graphs
6. 7-K.6 Identify proportional relationships

Wednesday (1st & 4th Periods) Early Release Day

1. Nearpod – Percent and Percent Change Doodle Notes
2. IXLs
1. 7-L.2 Convert between percents, fractions, or decimals
2. 7-L.5 Percents of numbers and money amounts
3. 7-L.9 Percent of Change

Thursday (1st & 4th Periods)

2. Finish working on missing IXLs
Assignments Due

Summatives

None

Formatives

1. Bellringers
1. Constant of Proportionality on Quizizz
2. Proportional Relationships on Quizizz
2. IXLs
1. 7-L.2 Convert between percents, fractions, or decimals
2. 7-L.5 Percents of numbers and money amounts
3. 7-L.9 Percent of Change