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Grade 5 · Maths
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1. Powers of Ten and Whole-Number Fluency
  1. Explain multiplication and division by powers of ten through place valueFree lesson
  2. Consolidate multi-digit multiplicationIn preparation
  3. Divide whole numbers with two-digit divisorsIn preparation
  4. Estimate and verify quotient and remainderIn preparation
2. Decimal Place Value and Additive Operations
  1. Read and compare decimals to thousandthsIn preparation
  2. Round a decimal to a stated placeIn preparation
  3. Add and subtract decimals with aligned unitsIn preparation
  4. Estimate and interpret decimal resultsIn preparation
3. Adding and Subtracting Unlike Fractions
  1. Find a useful common denominatorIn preparation
  2. Add unlike fractions using visual equivalenceIn preparation
  3. Subtract unlike fractions including mixed numbersIn preparation
  4. Estimate with zero, one half and oneIn preparation
4. Fraction Multiplication and Limited Division
  1. Interpret a fraction of a quantityIn preparation
  2. Multiply two fractions with an area modelIn preparation
  3. Explain scaling by a factor below or above oneIn preparation
  4. Divide a unit fraction by a whole numberIn preparation
  5. Divide a whole number by a unit fractionIn preparation
5. Decimal Multiplication and Division
  1. Multiply decimal quantities using area and place-value modelsIn preparation
  2. Divide decimals by whole numbersIn preparation
  3. Explain equivalent quotients when scaling both termsIn preparation
  4. Calculate practical decimal quotients and check magnitudeIn preparation
6. Expressions, Patterns and Coordinates
  1. Interpret numerical expressions with grouping symbolsIn preparation
  2. Generate paired numerical patternsIn preparation
  3. Plot points in the first quadrantIn preparation
  4. Explain a rule using a table and coordinate pairsIn preparation
7. Volume and Three-Dimensional Structure
  1. Build volume from layers of unit cubesIn preparation
  2. Derive rectangular-prism volumeIn preparation
  3. Find volumes of decomposed rectangular solidsIn preparation
  4. Distinguish volume from surface coverageIn preparation
8. Shape Hierarchies and Measurement
  1. Classify shapes using necessary propertiesIn preparation
  2. Explain nested quadrilateral categoriesIn preparation
  3. Convert metric units within a measurement typeIn preparation
  4. Solve mixed-unit measurement problemsIn preparation
9. Fractional Measurement Data
  1. Construct a line plot with fractional unitsIn preparation
  2. Answer arithmetic questions from the distributionIn preparation
  3. Explain the effect of adding or removing a measurementIn preparation
10. Storage Design Project
  1. Translate a storage problem into dimensions and quantitiesIn preparation
  2. Compare feasible designsIn preparation
  3. Document calculations and assumptionsIn preparation
  4. Test and revise a proposed designIn preparation

The Powers-of-Ten Machine

PRACTISE · ONE IDEA AT A TIME

Your turn to think

Try one question. A hint can help!

Multiply by powers of ten · Question 1 of 6

7.2 × 100 = ?

Read together with an adult.

Explain multiplication and division by powers of ten through place value.

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What you have practised

0 answered independently · 0 completed with help. These are practice results, not a formal assessment.

  • Multiply by powers of tenNot tried yet
  • Divide by powers of tenNot tried yet
  • Decimal equivalenceNot tried yet
  • Unit changeNot tried yet
  • Divide by powers of tenNot tried yet
  • TransferNot tried yet

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About this lesson

Explain multiplication and division by powers of ten through place value.

Suggested ages: 10–11. Choose from your child’s existing skills, not age alone.

This lesson includes a video, six exercises and three game missions. Instructions and feedback can be heard aloud.

Before this unit

  • Grade 4: Large Numbers and Estimation
  • Grade 4: Division and Remainders

A structured skills programme, not a school qualification.