Q3, W4: January 27th – 31st

TeacherFelicia Taylor
Subject AreaIntensive Math
Grade Level7th
Week #22
Unit of InstructionFocus 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.

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:

  • compute a unit rate by iterating (repeting) 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).
  • use proportional reasoning to solve real-world ratio problems, including those with multiple steps.
Classroom Activities

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

    1. Practice current standards (30 minutes)
      1. MathSpace
        1. Scales, maps and ratios
        2. Writing proportions
    2. Review 5th Grade standards (30 minutes)
      1. MathSpace
        1. 3 – Evaluate numerical expressions (including grouping)
        2. 4 – Balancing with mixed operations
        3. 5 – Mixed addition
    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 through kahoot!

  1. Ratios
  2. Unit Rates
  3. Scales and maps

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

  1. Practice current standards (30 minutes)
    1. MathSpace
      1. Identifying Proportional Relationships
  2. Review 5th Grade standards (30 minutes)
    1. MathSpace
      1. 6 – Mixed subtraction
      2. 7 – Checking reasonableness of calculations
      3. 8 – Problem solving with mixed operations
  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.