9 Ratio And Proportion Lessonplan Hema

Ratio, rate and Proportion:

  • Concept of ratio.
  • Concept of equivalent ratios
  • Map scaling.
  • Concept of rate.
  • Kinematic graphs
  • Concept of proportion
  • Concept of direct and inverse proportion.

Teaching process:

  • Explain concept of ratio using a recipe example, Concrete example ( since a mixture of sand, gravel and cement in some proportion)
  • Question students on why ratios have no units and why is it necessary to compare two or more quantities based on the same unit of measurement.
  • Explain how map scales are good examples of ratios in everyday life. Teach conversion of map distances to real distances using the ratio scale.
  • Explain concept of rate using examples of physical quantities learnt in physics. Speed and density can be used as examples.
  • Students to differentiate rates and ratios and that one are a comparison of amounts of the same unit of measurement, while the other is amount of one quantity per unit of the other.
  • Show kinematic graphs to show relationships between
    • Distance and time
    • Speed and time
  • Explain concept of proportion using concepts learnt in physics.( Pressure and Area, Density and volume can be used as examples.)
  • Students to understand when quantities are in direct proportion, they increase or decrease at the same rate and when they are in inverse proportion, one increases as the other decreases

Evaluation

based on, if students are able to do the following, (Work sheets to test the following skills shall be provided)

  • Simplify ratios and find the missing values in equivalent ratios
  • Divide quantities in a given ratio
  • Convert measurements on maps, plans and other scale diagrams to real measurements and vice versa.
  • Express relationships between different quantities as rates in their simplest form and solve problems relating to rates.
  • Read and interpret kinematic graphs
  • Solve problems involving direct and indirect proportion.
  • Express direct and inverse proportion in algebraic terms and solve
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