Year 9 Spring Term Learning Objectives
Number 19
Shape, Space and Measures 16
What all should know
Given the coordinates of points A and B, find the mid-point of the line segment AB.
Know rough metric equivalents of imperial measures in daily use (feet, miles, pounds, pints, gallons).
Deduce and use formulae for the area of a triangle, parallelogram and trapezium; calculate areas of compound shapes made from rectangles and triangles.
Know and use the formula for the volume of a cuboid; calculate volumes and surface areas of cuboids and shapes made from cuboids.
What most should know
Use units of measurement to calculate, estimate, measure and solve problems in a variety of contexts; convert between area measures (mm2 to cm2, cm2 to m2, and vice versa) and between volume measures (mm3 to cm3, cm3 to m3, and vice versa).
Know and use the formulae for the circumference and area of a circle.
Calculate the surface area and volume of right prisms.
What some should know
Find points that divide a line in a given ratio, using the properties of similar triangles; given the coordinates of points A and B, calculate the length of AB.
Recognise that measurements given to the nearest whole unit may be inaccurate by up to one half of the unit in either direction.
Understand and use measures of speed (and other compound measures such as density or pressure) to solve problems; solve problems involving constant or average rates of change.
Know and use the formulae for length of arcs and area of sectors of circles.
Calculate lengths, areas and volumes in right prisms, including cylinders.
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.
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.
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.