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