Grade Descriptors

Examples

TERM 1

Higher

Factorise a quadratic expression in the form ax^2 + bx + c
Solving quadratic equations by factorising
Solve quadratic equations by completing the square
Using the quadratic formula to solve quadratic equations
Solve simultaneous two linear equations
Solve quadratic and linear simultaneous equations
Solving inequalities
Solve graphical inequalities
Solve quadratic inequalities
Recognise and explain how triangles are congruent
Understand similarity and congruency
Finding the length of similar shapes
Calculate areas and volumes of similar objects
Prove results in geometry using congruent triangles
Recognise and sketch the graphs of sin, cos and tan
Solve trigonometric equations
Translating graphs i.e. y=f(x)+a & y=f(x+a)
Reflect graphs i.e. y=-f(x) & y=f(-x)
Stretches of graphs i.e. y=af(x) & y=f(ax)
Combinations of transformations of graphs
Area of a triangle
The Sine Rule
The Cosine Rule
Sketch a quadratic graph by completing the square
Use the discriminant to decide how many solutions a quadratic equation has
Expand the product of more than 2 linear expressions
Sketching cubic graphs
Solve problems using chord and tangent problems
Use circle theorems and circular problems to solve problems
Use the alternate segment theorem to find missing angles and solve problems
Draw circles x^2 + y^2 = r^2
Write down the equation of a circle, centre (a,b) and radius r
Find the equation of a tangent to a circle at a given point
Simplify algebraic fractions
Multiply and divide algebraic fractions
Add and subtract algebraic fractions
Solve equations involving algebraic fractions
Changing the subject of more complicated formulae
Proof using algebra
Understand and use function notation
Add, subtract & multiply functions f(x)±g(x), af(x), f(ax) etc.
Find inverse functions
Composite functions i.e. gf(x)

 

Foundation

Convert between metric speed measures
Convert between density and pressure measures
Solve problems using kinematic formulae
Reverse percentages
Using isometric paper to draw 3D objects
Symmetry in 3D objects
Drawing plans and elevations of a 3D object
Using plans and elevations of a 3D shape
Constructing triangles
Drawing polygons
Construct the perpendicular at a point on a line
Constructing the perpendicular at a point on a line
Bisecting a line
Bisecting an angle
Loci
Measure, draw and apply bearings
Expand double brackets
Factorise a quadratic expression using difference of two squares
Factorise a quadratic expression in the form x^2 + bx + c
Solving quadratic equations by factorising
Solving quadratic equations by rearranging
Draw quadratic graphs
Identify lines of symmetry of quadratic graphs
Real life use of quadratic graphs
Use a graph to solve quadratic equations
Find the circumference and area of a circle
Find the perimeter and area of shapes involving parts of circles
Find sector area and arc lengths
Find the volume and surface area of a cylinder
Calculate the volume and surface area of a pyramid
Calculate the volume and surface area of a cone
Calculate the volume and surface area of a sphere
Use the laws of indices to  multiply and divide numbers in index notation
Powers of Powers and fractional powers
Write large and small numbers in standard form
Carry out calculations with numbers written in standard form
Changing the subject of a formula
Prove results from geometry
Proof using algebra
Graphs of cubic functions
Graphs of reciprocal functions
Solve simultaneous equations

 

TERM 2

Higher

Know the difference between a vector and a scaler
Adding and subtracting vectors
Calculating the magnitude and direction of a vector
Solve geormetric problems using vector methods
Estimate area under quadratic graphs by dividing into trapezia
Write and solve an equation for proportion problems
Write and solve an equation for inverse proportion problems

 

Foundation

Recognise and explain how triangles are congruent
Understand similarity and congruency
Finding the length of similar shapes
Calculate areas and volumes of similar objects
Know the difference between a vector and a scalar
Adding and subtracting vectors
Calculating the size and direction of a vector
Solve geometric problems using vector methods

 

TERM 3

Exam Practice.