Ratios and rates – intermediate

This lesson comprises two (2) master classes focusing on:

• Simplifying ratios
• Dividing a quantity in a given ratio
• Solving problems using the unitary and other method
• Scale drawings
• Speed and distance-time graphs

Content:

MA4-RAT-C-01

Recognise and simplify ratios

• Use ratios to compare 2 or more quantities measured in the same units
• Identify and express one part of a ratio as a fraction of the whole
• Simplify ratios

Solve problems involving ratios

• Apply the unitary method to solve ratio problems
• Divide a quantity in a given ratio
• Solve real-life problems involving ratios

Recognise and simplify rates

• Explain the differences between ratios and rates
• Represent given information as a simplified rate
• Convert between units for rates

Solve problems involving rates

• Solve a variety of real-life problems involving rates
• Examine financial applications of rates, such as best buys

Interpret and construct distance–time graphs from authentic data

• Interpret distance–time graphs made up of straight-line segments with a negative, zero or positive slope
• Calculate speeds for straight-line segments of given distance–time graphs
• Create distance–time graphs made up of straight-line segments