Read and write positive integer powers of 10; multiply and divide integers and decimals by 0.1, 0.01.

Consolidate standard column procedures for addition and subtraction of integers and decimals with up to two places.

Use standard column procedures for multiplication and division of integers and decimals, including by decimals such as 0.6 or 0.06; understand where to position the decimal point by considering equivalent calculations.

Solve more complex problems by breaking them into smaller steps or tasks, choosing and using efficient techniques for calculation.

Core:

Extend knowledge of integer powers of 10; multiply and divide by any integer power of 10.

Use rounding to make estimates; round numbers to the nearest whole number or to one or two decimal places.

Know that a recurring decimal is an exact fraction.

Use standard column procedures to add and subtract integers and decimals of any size, including a mixture of large and small numbers with differing numbers of decimal places; multiply and divide by decimals, dividing by transforming to division by an integer.

Check results using appropriate methods.

Use a calculator efficiently and appropriately to perform complex calculations with numbers of any size, knowing not to round during intermediate steps of a calculation; use the constant, p and sign change keys, function keys for powers, roots and fractions, brackets and the memory.

Enter numbers into a calculator and interpret the display in context (negative numbers, fractions, decimals, percentages, money, metric measures, time).

Solve substantial problems by breaking them into simpler tasks, using a range of efficient techniques, methods and resources, including ICT; use trial and improvement where a more efficient method is not obvious.

Extension:

Write numbers in standard form.

Understand upper and lower bounds; round numbers to three decimal places and a given number of significant figures.

Use algebraic methods to convert a recurring decimal to a fraction in simple cases.

Use the reciprocal key of a calculator.

Enter numbers in standard form into a calculator and interpret the display.

## Objectives:

Support:Use standard column procedures for multiplication and division of integers and decimals, including by decimals such as 0.6 or 0.06; understand where to position the decimal point by considering equivalent calculations.Core:Solve substantial problems by breaking them into simpler tasks, using a range of efficient techniques, methods and resources, including ICT;use trial and improvement where a more efficient method is not obvious.Extension:## Key Vocabulary:

## Suggested Lesson Outcomes:

SUPPORT TARGET

CORE## Framework:

## Teaching & Learning Resources:

4 Operations Resources

Decimals Resources

Powers Resources

Rounding Resources

Calculator Resources

Bounds Resources

Reciprocal Resources