Schoolsweb
Listen

Link to the DfCFS home page
The Standards Site - Raising Standards

This website is changing: Find out more.

Year 5 Block E - Securing number facts, relationships and calculating

A summary of the content for Block E; securing number facts, calculating, identifying relationships
The text in this diagram identifies the focus of mathematics learning within the block

 

 

The objectives for the block are listed in the table - the right hand column indicates how the objectives might be addressed in the units

Objectives

Units

1

2

3

  • Represent a puzzle or problem by identifying and recording the information or calculations needed to solve it; find possible solutions and confirm them in the context of the problem

tick

tick

tick

  • Solve one-step and two-step problems involving whole numbers and decimals and all four operations, choosing and using appropriate calculation strategies, including calculator use

tick

 

tick

  • Explain reasoning using diagrams, graphs and text; refine ways of recording using images and symbols

tick

tick

 

  • Express a smaller whole number as a fraction of a larger one (e.g. recognise that 5 out of 8 is five eighths ); find equivalent fractions (e.g. seven tenths = fourteen twentieths , or nineteen tenths = 1nine tenths ); relate fractions to their decimal representations

tick

tick

tick

  • Understand percentage as the number of parts in every 100 and express tenths and hundredths as percentages

 

tick

tick

  • Use sequences to scale numbers up or down; solve problems involving proportions of quantities (e.g. decrease quantities in a recipe designed to feed six people)

 

tick

tick

  • Use knowledge of place value and addition and subtraction of two-digit numbers to derive sums and differences and doubles and halves of decimals (e.g. 6.5 plus over minus 2.7, half of 5.6, double 0.34)

 

tick

 

  • Recall quickly multiplication facts up to 10 × 10 and use them to multiply pairs of multiples of 10 and 100; derive quickly corresponding division facts

tick

 

 

  • Identify pairs of factors of two-digit whole numbers and find common multiples (e.g. for 6 and 9)

tick

   
  • Extend mental methods for whole-number calculations, for example to multiply a two-digit number by a one-digit number (e.g. 12 × 9), to multiply by 25 (e.g. 16 × 25), to subtract one near-multiple of 1000 from another
    (e.g. 6070 - 4097)

tick

 

 

  • Refine and use efficient written methods to multiply and divide HTU × U, TU × TU, U.t × U and HTU ÷ U

tick

 

tick

  • Find fractions using division (e.g. one hundredth of 5kg), and percentages of numbers and quantities (e.g. 10%, 5% and 15% of £80)

tick

tick

tick

  • Use a calculator to solve problems, including those involving decimals or fractions (e.g. find three quarters of 150g); interpret the display correctly in the context of measurement

tick

tick