#NumberAndAlgebra #Core >[!info]- [Ratios and rates | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-4/faf41ae0d9) >- MA4-RAT-C-01 solves problems involving ratios and rates, and analyses distance–time graphs ## 📖 Prior Knowledge | Content | Prior knowledge | Used for | | ---------------------------------- | ------------------------------------------------------- | -------------------------------------------------------------------------------------- | | [[Non-spatial Measure B]] | - unit conversions for time and mass | - converting rates | | [[Fractions Decimals Percentages]] | - simplifying fractions<br>- expressing as a proportion | - simplifying ratios and rates<br>- expressing part:part ratios as fraction of a whole | | [[Volume]] | - converting units of capacity | - rate problems involving volume | | [[Equations]] | - solving equations | - unitary method | ## [[Recognise and simplify ratios.pdf]] - 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.pdf]] - 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.pdf]] - Explain the differences between ratios and rates - Represent given information as a simplified rate - Convert between units for rates ## [[Solve problems involving rates.pdf]] - 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.pdf]] - 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