Q3, W3: January 22nd – 25th

TeacherFelicia Taylor
Subject AreaIntensive Math
Grade Level7th
Week #21
Unit of InstructionFocus 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 a 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.

MAFS.7.RP.1.3

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

Review the following standards…

MAFS.5.OA.1.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

MAFS.5.OA.1.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.

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.
  • compute the rate of change/ slope from a graph or equation (k in y = kx).
  • solve equations created from proportional relationships.
  • write an equation from a proportional relationship.
  • define the rate of proportionality from a graph.
Classroom Activities

Monday (4th Period)

No School

Tuesday (4th Period)

  1. Practice current standards (30 minutes)
    1. MathSpace
      1. Identifying Proportional Relationships
  2. Review 5th Grade standards (30 minutes)
    1. MathSpace
      1. 1 – Writing numerical expressions with grouping
      2. 2 – Order of operations with whole numbers
  3. Working on missing/ incomplete work for 7th Grade Regular Math

Wednesday (4th and 8th Periods) Early Release Day – 40 minute class

Review current standards with kahoot!

  1. Unit Rates
  2. Equivalent Ratios
  3. Identifying Proportional Relationships

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

  1. Practice current standards (30 minutes)
    1. MathSpace
      1. Proportional Relationships in the Coordinate Plane
  2. Review 5th Grade standards (30 minutes)
    1. MathSpace
      1. 1 – Writing numerical expressions with grouping
      2. 2 – Order of operations with whole numbers
  3. Working on missing/ incomplete work for 7th Grade Regular Math
Assignments Due

Summatives

None

Formatives

All MathSpace Assignments will be graded.

Additional Resources

All IEP accommodations for each student will be provided each class.