Year 8 Spring Term Learning Objectives
Algebra 7
Number 16
All should be able to
Express simple functions in words.
Generate coordinate pairs that satisfy a simple linear rule; recognise straight-line graphs parallel to the x-axis or y-axis.
Most should be able to
Express simple functions in symbols; represent mappings expressed algebraically.
Generate points in all four quadrants and plot the graphs of linear functions, where y is given explicitly in terms of x, on paper and using ICT;
recognise that equations of the form y = mx + c correspond to straight-line graphs.
Construct linear functions arising from real-life problems and plot their corresponding graphs; discuss and interpret graphs arising from real situations.
Some should be able to
Find the inverse of a linear function.
Plot graphs of linear functions (y given implicitly in terms of x), e.g. ay + bx = 0, y + bx + c = 0, on paper and using ICT;
given values for m and c, find the gradient of lines given by equations of the form y = mx + c.
Discuss and interpret distancetime graphs.
Understand and use decimal notation and place value; multiply and divide integers and decimals by 10, 100 and 1000, and explain the effect.
Round positive whole numbers to the nearest 10, 100 or 1000 and decimals to the nearest whole number or one decimal place.
Consolidate and extend mental methods of calculation to include decimals, fractions and percentages, accompanied where appropriate by suitable jottings.
Read and write positive integer powers of 10; multiply and divide integers and decimals by 0.1, 0.01.
Order decimals.
Round positive numbers to any given power of 10; round decimals to the nearest whole number or to one or two decimal places.
Consolidate and extend mental methods of calculation, working with decimals, squares and square roots, cubes and cube roots; solve word problems mentally.
Make and justify estimates and approximations of calculations.
Consolidate standard column procedures for addition and subtraction of integers and decimals with up to two places.
Extend knowledge of integer powers of 10; multiply and divide by any integer power of 10.
Extend mental methods of calculation, working with decimals, fractions, percentages, factors, powers and roots.
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.
