Common Factors I can gather like terms together correctly. I can substitute letters for values and evaluate expressions. I can multiply a bracket by a number. I can use common factor to factorise a sum of terms. Area and Circumference of Circles I can identify the radius, diameter and circumference of a circle. I can state that the radius of a circle is half the diameter and that the diameter is twice the radius. I can calculate the circumference of a circle given the diameter or the radius using the formula C = d. I can calculate the area of a circle given the radius or the diameter using the formula A = r 2. Page 1
Similarity I can describe if a shape has been enlarged or reduced. I can draw shapes reduced or enlarged by a given amount. I can state that a scale factor bigger than 1 gives an enlargement of a shape. I can state that a scale factor smaller than 1 gives a reduction of a shape. I can calculate a scale factor using the corresponding sides of similar shapes. I can use the scale factor of similar shapes to calculate a missing length. I can use the fact that (scale factor) 2 helps me calculate the area of similar shapes. Angles in a Circle I can use the facts: Angles in triangles add to 180. Z angles, F angles, vertically opposite angles. 2 radius lines and a chord make an isosceles triangle. to calculate missing angles in a diagram. I can use the fact that triangles in a semicircle are right angled at the circumference to calculate missing angles. I can use the fact that the radius of a circle is at right angles to a tangent to the circle to calculate missing angles. Page 2
Gradient I can calculate the gradient of a straight line using the formula g = V H. I can recognise that a line with positive gradient is an uphill line and a line with a negative gradient is downhill. I can state that a horizontal line has gradient 0. I can state that a vertical line has undefined gradient. Area of kite, parallelogram and trapezium I can use the formula A = ½ d 1d 2 to calculate the area of a kite/rhombus where d 1 and d 2 are the diagonals of the kite/rhombus. I can use the formula A = bh to calculate the area of a parallelogram. I can use the formula A = ½ (a + b)h to calculate the area of a trapezium. To do this I must add the top and bottom then multiply this by the height and half the answer. I can split four sided shapes and use the area if a triangle formula A = ½ bh to find the area of the whole shape. Page 3
I can use the formula amount 360 to Pie Charts revision total calculate the angle for the pie chart sector. I can calculate all the angles for each sector of a pie chart and use a protractor to accurately draw the pie chart. Straight lines I can use a table of x values and the formula of the line to get y values for points on the line. I can plot the points from the table on a co-ordinate grid to draw a straight line. In the equation y = mx + c I can state the gradient m is the number in front of x. In the equation y = mx + c I can state the number c is the y-intercept of the line (where the line cuts the y axis) and write it as(0, c). I can state a vertical line has undefined gradient and equation x = b. I can state a horizontal line has zero gradient and equation y = a. Page 4
I can state that Pythagoras theorem is used for right angled triangles. I can state Pythagoras s theorem is a 2 = b 2 + c 2. I can use a 2 = b 2 + c 2 to calculate the long side (the Hypotenuse) of a right angled triangle I know the memory aid Short Side Subtract Pythagoras to find the shorter side of a right angled triangle using, e.g., b 2 = 9 2 2 2. I can apply Pythagoras Theorem to answer real life problems involving right angled triangles I can use Pythagoras Theorem to calculate the distance between two points on a coordinate grid. I can state the subject of the formula is the letter that starts the formula on its own on the left hand side of the equals sign. I can rearrange a formula involving addition and subtraction only. Change the Subject of I can rearrange a formula involving a Formula multiplication and division in fraction form including rearranging for bottom line of the fraction. I can rearrange a formula involving addition, subtraction, multiplication and division. Page 5
Trigonometry I can name the sides of any right angled triangle H (hypotenuse), O (opposite) and A (adjacent) in relation to a marked angle. I can use the memory aid SOHCAHTOA and tick sides I have or want to find. I can use SOHCAHTOA to find an unknown side in a right angled triangle. I can use SOHCAHTOA to find an unknown angle in a right angled triangle. I know I must use the shift key to get the inverse trig function and also to use brackets on my calculator. Straight lines I can use a table of x values and the formula of the line to get y values for points on the line. I can plot the points from the table on a co-ordinate grid to draw a straight line. In the equation y = mx + c I can state the gradient m is the number in front of x. In the equation y = mx + c I can state the number c is the y-intercept of the line (where the line cuts the y axis) and write it as(0, c). I can state a vertical line has undefined gradient and equation x = b. I can state a horizontal line has zero gradient and equation y = a. Page 6
Bank I can use numerical notation which includes = I can calculate percentage increase and decrease., +,,,,/, <, >, (, ), % and a decimal point. I can change fractions to decimal fractions, fractions I can correct units for a problem which include: to percentages, percentages to decimals and all vice Money versa. Time (months, weeks, days, hours, I can calculate a rate: eg miles per hour or texts per minutes, seconds). month. Measurement of length (mm,cm, m, I can calculate distance given speed and time. km, mile); weight (g, kg); volume (ml, l) and temperature (, ) I can calculate time intervals using 12-hour and 24- hour clock. Numeracy I can add and subtract whole numbers including negative numbers. I can multiply whole numbers of any size by a (up to a four digit) whole number. I can divide whole of any size by a single digit whole number or by 10 or 100. I can round answers to the nearest significant figure or to 2 decimal places. I can find simple percentages and fractions of shapes and quantities, e.g. 50%, 10%, 20%, 25%, 75%, 33 1 3 %, 1 2, 1 3, 1 4, 1 1 10, 5 I can calculate volume (cube & cuboid), area (rectangle & square) and perimeter. I can calculate ratio and direct proportion I can measure length, weight, volume and temperature using instruments with straight forward scales. I can read scales to the nearest mark, even if they have unnumbered divisions. I can use estimation to check my answer is reasonable. I can tell what an answer means involving time, length, weight, volume and temperature. I can change between units I the same family, e.g. mm cm, cm m, g kg, ml l I can give reasons for decisions based on the result of calculations. Page 7
Number Patterns I can continue a straight forward number sequence such as 4, 7, 10, 13,.. I can continue a pattern using shapes and diagrams. I can use a number pattern, using the jumps to determine the amount to multiply by, to work out a rule for that pattern to continue, eg, 1, 4, 7, 10, 13 has jumps of 3 so it is a x by 3 take off 2 rule. I can use my rule to write a formula for the number pattern using the correct letters for that pattern, eg m = 3b - 2 I can name the parts of a 2D or 3D shapes using terms such as face, vertex, and edge. Calculating Surface Area I can draw the net for a 3D shape. I can use the net of a 3D shape and my formulas for area to calculate the surface area of a 3D shape. Page 8
Volume of a Prism I can use the formula V = Ah and A = 1 bh to 2 work out the volume of a triangular prism. I can use the formula V = πr 2 h to calculate the volume of cylinder I can use the formula V = Ah to calculate the volume of any prism given A, the area of the base. Rotational Symmetry I can state the order of turn symmetry for any given shape using terms such as half turn, quarter turn and rotational symmetry order 3. I can complete drawings of given shapes to ensure they have half or quarter turn symmetry. I can plot the image of a co-ordinate after it has been rotated about (0, 0). Page 9
Statistics I can construct a tally/frequency table with class intervals from a set of numbers, eg how many numbers are in range 0-9, 10-19, 20-29 I can calculate the mean of a set of numbers. I can calculate the median or a set of numbers when I have arranged them into numerical order. I can calculate the mode of a set of numbers. I can calculate the range of a set of numbers. I can use the mean, median, mode and range to compare different sets of numbers. I can calculate the probability using the formula what I want to happen P(event) = total number of possible outcomes I can make a decision based on a probability calculation and discuss the risk involved. Solving Equations I can solve equations of the type 2x 3 = 11. I can solve equations of the type 5x 4 = 3x + 12. I can create an equation given a real life situation and solve it to find out the missing real life value.. Page 10
Scattergraphs I can draw a scattergraph for two sets of related data.. I can tell when a scattergraph has a negative or positive correlation and discuss what that means for the real life situation. I can tell when a scattergraph has no correlation and discuss what that means for the real life situation. I can draw a line of Best Fit for a scattergraph and use this line to predict future results or estimate any missing results given information about one of the numbers used. Page 11