- 1. Tenths and Hundredths on the Number Line
By the end of this lesson you will be able to place tenths and hundredths on a number line and recognise that a decimal and a fraction can represent the same part of a whole (they are equivalent).
- 2. Writing Decimals as Fractions
By the end of this lesson you will be able to write any decimal as a fraction by looking at its place value and give your answer in its simplest form.
- 3. Writing Fractions as Decimals
By the end of this lesson you will be able to write any fraction with a denominator of 10, 100 or 1000 as a decimal using place value.
- 4. Writing Fractions as Decimals Using Equivalent Fractions
By the end of this lesson you will be able to write fractions as decimals when the denominator is not a power of ten by making an equivalent fraction with denominator 10, 100 or 1000.
- 5. Using Short Division to Write Fractions as Decimals
By the end of this lesson you will be able to use short division to change a fraction into a decimal.
- 6. Recurring and Terminating Decimals
By the end of this lesson you will be able to use short division to write a fraction as a recurring decimal and recognise the difference between recurring and terminating decimals.
- 7. Predicting Recurring and Terminating Decimals
By the end of this lesson you will be able to predict whether a fraction will give a terminating or recurring decimal by looking at the prime factors of the denominator, and write the decimal with correct dot notation.
- 8. Converting and Ordering Fractions and Decimals
By the end of this lesson you will be able to convert fluently between fractions and decimals (using any method) and order any mixed set of fractions and decimals from smallest to largest.
- 9. Percentages as Parts per Hundred
By the end of this lesson you will be able to recognise that a percentage is a fraction with denominator 100 and convert between percentages, fractions and decimals.
- 10. Converting Between Percentages and Decimals
By the end of this lesson you will be able to convert between percentages and decimals quickly and fluently in both directions using place value.
- 11. Writing Percentages as Fractions in Simplest Form
By the end of this lesson you will be able to write any percentage as a fraction in its simplest form, recognise common percentage equivalents and represent them on diagrams.
- 12. Ordering Mixed Fractions, Decimals and Percentages
By the end of this lesson you will be able to convert between fractions, decimals and percentages and order any mixed set from smallest to largest, including marking them on number lines and shading them on 100-squares.
- 13. Recurring Percentages and Full Equivalence Tables
By the end of this lesson you will be able to convert recurring percentages such as 33⅓% and 66⅔% into fractions and decimals, complete full FDP equivalence tables and represent them on number lines and 100-squares.
- 14. Finding 10%, 50% and 25% of an Amount Using Diagrams
By the end of this lesson you will be able to find 10%, 50% and 25% of any amount by shading 100-squares, using mental halving and quartering, and identifying the referent whole.
- 15. Finding Any Percentage (Up to 100%) Using a Double Number Line
Find any percentage up to 100% of an amount using proportional reasoning and a double number line.
- 16. Calculating Percentages Greater Than 100%
Use a double number line to calculate percentages greater than 100% and apply this to real-world growth, financial, and measurement contexts.
- 17. Calculating Percentages Using Ratio Tables
Organize proportional reasoning using ratio tables to calculate any percentage of an amount efficiently, including real-world applications.
- 18. Finding Percentages using Decimal Multipliers
Convert percentages into decimal multipliers to efficiently calculate the percentage of any amount.
- 19. Expressing One Quantity as a Percentage of Another
Express one number as a percentage of another by setting up a fraction and converting it to a percentage using equivalent fractions or division.
- 20. Choosing the Best Method & Solving Complex Problems
Synthesize previous learning to choose the most efficient method (Ratio Table or Decimal Multiplier) for solving percentage problems, including amounts >100% and reverse percentages.
- 21. Simple Percentage Increase
Calculate percentage increases using both the "add-on" method and the "new whole" decimal multiplier method, applying them to real-world contexts like inflation and salary bumps.
- 22. Simple Percentage Decrease
Calculate percentage decreases using both the "subtract" method and the "new whole" decimal multiplier method, applying them to real-world contexts like discounts and depreciation.
- 23. Successive Percentage Changes
Calculate multiple percentage changes in a row, recognizing that the "referent whole" (the 100% amount) changes after every step.
- 24. Interpreting Pie Charts
Interpret pie charts by calculating the percentage or amount each sector represents, finding the whole from a given sector, and drawing simple pie charts from data using percentages.
- 25. Reverse Percentages – Finding the Original Amount
Find the original amount (referent whole) when you are given the final amount after a percentage increase or decrease, using double number lines or decimal multipliers.
- 26. Multi-Step Worded Percentage Problems
Solve multi-step worded problems involving percentages by choosing the best method (double number line, multiplier, or reverse) and explaining each step clearly.
- 27. Full Mixed Percentage Problems and Consolidation
Solve a wide range of mixed percentage problems (increase/decrease, reverse, successive changes, pie charts and worded contexts) by choosing the best method and explaining your reasoning clearly.
