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