Key Stage 4

Assessment 1

Intent

The intention of this unit is

Implementation

For each strand in the unit students

Impact

The impact of this unit of work

Topics covered in this unit:

Core

51n Increase or decrease an amount by a percentage and calculate simple interest

65n Calculate compound interest using repeated percentage change

66n Writing a change as a percentage

67n Using percentage multipliers for change and understand the effect of multiplying by numbers above or below 1

70n Calculate compound interest using a percentage multiplier

71n Reverse percentage change using a multiplier (or otherwise)

45n Converting fractions to percentages or decimals using equivalent fractions, or division on a calculator

52n Putting fractions, decimals and percentages in order

56n Converting fractions to terminating decimals or percentages by short division

20s Draw all the lines of symmetry on 2D shapes

29s State the order of rotational symmetry of a 2D shape and show what a shape would look like rotated by 90⁰ or 180⁰

52s Reflect a shape on a coordinate grid and describe a reflection stating the equation of the mirror

54s Rotate a shape from a given centre on a coordinate grid and fully describe a rotation

48s Translate a shape by a vector on a coordinate grid and describe a translation

60s Enlarge a shape from a given centre including fractional scale factors and fully describe an enlargement

29a Simplify expressions by collecting terms

33a Simplify expressions by multiplying terms

37a Substitute positive and negative, whole or decimal values into expressions or formulae and evaluate

32a Solve equations formally by using 1/2 inverse operations

48a Solve equations with x on both sides and solving inequalities by algebraic manipulation

60a Solve difficult linear equations with brackets and fractions

55a Changing the subject of a formula by using 1/2 inverse operations

61a Changing the subject of a formula by using up to 4 inverse operations (including powers and roots)

64a Solving linear simultaneous equations by elimination

65a Derive and solve simultaneous equations from word problems

51s Use Pythagoras' theorem to find hypotenuse or short side or check if a triangle is right-angled

66s Solve problems requiring either multiple steps of Pythagoras or amending a diagram to locate a right-angled triangle

62s Use SOH CAH TOA trigonometry to calculate sides of right-angled triangles

63s Use SOH CAH TOA trigonometry to calculate angles in right-angled triangles

71s Solve problems requiring multiple steps of SOH CAH TOA trigonometry and/or Pythagoras

73s Know the exact values for 0⁰, 30⁰, 45⁰, 60⁰, 90⁰ for sin, cos and tan

44a Using the nth term rule of a sequence to find a given term

46a Finding the nth term of an arithmetic sequence

27n Simplifying ratios and identifying fractions from ratios

40n Share a quantity in a two part or three part ratio

41n Solve ratio problems without the original amount

59n Solving problems using a combination of percentages, fractions and ratio

73n Solve hard ratio problems involving combining two or more ratios

46n Use an exchange rate to convert between currency

50a Use graphs of direct or inverse proportion or solve inverse proportion problems

72a Use and interpret an equation or graph for direct or inverse proportion

59a Write or plot a linear function for a given ratio

26s Use the sum of angles at a point or on a line or vertically opposite to calculate angles

32s Know and use the sum of angles in a triangle or quadrilateral to work out angles

41s Calculate angles using angle facts (including isosceles triangles) and provide full geometric arguments

53s Calculate angles using parallel lines (including reversing bearings) and provide full geometric arguments

70s Know the proofs of angles sums in triangles or quadrilaterals

61s Know and use the sum of angles in polygons and find angles in diagrams including regular polygons

74s Recognising congruent triangles using SSS, SAS, ASA or RHS

40d Distinguish between types of data: discrete, continuous and categorical

65d Define random sample and explain a method of selecting a random sample

43d Complete a two-way table

56d Draw up and use a two-way table from a list of information

55d Draw up a frequency tree from a list of information and use it to solve problems

28n Use a written method of division and utilising remainders to give an accurate or approximate answer

61n Dividing by decimals using an equivalent calculation and short division

62n Use inequalities to specify error due to truncation or rounding

34n Subtracting integers

37n Multiplying and dividing integers

44n Using a calculator correctly with powers, roots and division

Plus / Plus+

79s Enlarge a shape by a negative scale factor from a given centre

81s Describe change or invariance under a combination of transformations

81a Simplifying algebraic fractions by factorising then cancelling

83a Simplifying algebraic fractions by adding or subtracting

93a Solve algebraic fraction equations which lead to quadratic equations

86a Rearrange a formula where the subject appears more than once

94a Solve non-linear simultaneous equations

71a Form the equation of a line through two points or through one point with a given gradient

82a Recognise perpendicular gradients and form the equation of a line perpendicular to a given line

90a Sketch transformations of graphs (translations, reflections) including images of intercepts

91a Interpret transformations of polynomial or trig graphs

91s Using SOH CAH TOA trigonometry in 3D Shapes

82s Know Sine rule and use it to calculate missing sides in non-right-angled triangles

85s Know Sine rule and use it to calculate missing angles in non-right-angled triangles

94s Deal with the ambiguous case in Sine rule

83s Know Cosine rule and use it to calculate missing sides in a non-right-angled triangle

86s Know Cosine rule and use it to calculate missing angles in a non-right-angled triangle

84s Using the area of a triangle formula ½abSin C including finding the area of a segment

93s Solve multi-step Sine / Cosine rule questions involving area or perimeter

78a Finding the nth term of a quadratic sequence

88n Recognising a geometric sequence where the common ratio is a surd

79a Form and use an equation for direct proportion to square / cube / square root or inverse proportion

95s Proving congruency or similarity of triangles within more elaborate diagrams (including in circles)

76d Define stratified sampling and calculate the size of a layer in a stratified sample Solve mark and recapture problems

76n Stating the upper and lower bounds of a rounded number or measurement

80n Calculating an upper or lower bound for xy or x/y

85n Using upper and lower bounds to round to a suitable degree of accuracy

89n Calculating an upper or lower bound in the context of a shape or measure problem

91a Interpret transformations of polynomial or trig graphs

51s Use Pythagoras' theorem to find hypotenuse or short side or check if a triangle is right-angled

62s Use SOH CAH TOA trigonometry to calculate sides of right-angled triangles

63s Use SOH CAH TOA trigonometry to calculate angles in right-angled triangles

66s Solve problems requiring either multiple steps of Pythagoras or amending a diagram to locate a right-angled triangle

71s Solve problems requiring multiple steps of SOH CAH TOA trigonometry and/or Pythagoras

73s Know the exact values for 0⁰, 30⁰, 45⁰, 60⁰, 90⁰ for sin, cos and tan

82s Know Sine rule and use it to calculate missing sides in non-right-angled triangles

83s Know Cosine rule and use it to calculate missing sides in a non-right-angled triangle

84s Using the area of a triangle formula ½abSin C including finding the area of a segment

85s Know Sine rule and use it to calculate missing angles in non-right-angled triangles

86s Know Cosine rule and use it to calculate missing angles in a non-right-angled triangle

91s Using SOH CAH TOA trigonometry in 3D Shapes

93s Solve multi-step Sine / Cosine rule questions involving area or perimeter

94s Deal with the ambiguous case in Sine rule

44a Using the nth term rule of a sequence to find a given term

46a Finding the nth term of an arithmetic sequence

78a Finding the nth term of a quadratic sequence

88n Recognising a geometric sequence where the common ratio is a surd

27n Simplifying ratios and identifying fractions from ratios

40n Share a quantity in a two part or three part ratio

41n Solve ratio problems without the original amount

46n Use an exchange rate to convert between currency

50a Use graphs of direct or inverse proportion or solve inverse proportion problems

59a Write or plot a linear function for a given ratio

59n Solving problems using a combination of percentages, fractions and ratio

72a Use and interpret an equation or graph for direct or inverse proportion

73n Solve hard ratio problems involving combining two or more ratios

79a Form and use an equation for direct proportion to square / cube / square root or inverse proportion

41s Calculate angles using angle facts (including isosceles triangles) and provide full geometric arguments

53s Calculate angles using parallel lines (including reversing bearings) and provide full geometric arguments

61s Know and use the sum of angles in polygons and find angles in diagrams including regular polygons

70s Know the proofs of angles sums in triangles or quadrilaterals

74s Recognising congruent triangles using SSS, SAS, ASA or RHS

95s Proving congruency or similarity of triangles within more elaborate diagrams (including in circles)

55d Draw up a frequency tree from a list of information and use it to solve problems

56d Draw up and use a two-way table from a list of information

65d Define random sample and explain a method of selecting a random sample

76d Define stratified sampling and calculate the size of a layer in a stratified sample Solve mark and recapture problems

61n Dividing by decimals using an equivalent calculation and short division

62n Use inequalities to specify error due to truncation or rounding

76n Stating the upper and lower bounds of a rounded number or measurement

80n Calculating an upper or lower bound for xy or x/y

85n Using upper and lower bounds to round to a suitable degree of accuracy

89n Calculating an upper or lower bound in the context of a shape or measure problem