Download Maths KS3 - Ixworth Free School

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Law of large numbers wikipedia , lookup

Bra–ket notation wikipedia , lookup

History of mathematical notation wikipedia , lookup

Positional notation wikipedia , lookup

List of important publications in mathematics wikipedia , lookup

Elementary algebra wikipedia , lookup

Signal-flow graph wikipedia , lookup

Large numbers wikipedia , lookup

History of algebra wikipedia , lookup

Arithmetic wikipedia , lookup

Mathematics of radio engineering wikipedia , lookup

Addition wikipedia , lookup

Elementary mathematics wikipedia , lookup

Transcript
Michaelmas 1
Levels 1 to 3
Levels 2 to 4
Levels 3 to 5
Levels 4 to 6+
Factors, Multiples and
Surds
(N4, N5, N6 and N8)
Finding Factors and
Multiples of a Number
Identify Prime Numbers
Find the Highest Common
Factor and Lowest
Common Multiple
Find a Prime Factorisation
Find HCF, LCM or 3
numbers
Finding a Square /Cube
root using the prime
factorisation
Substitution
(A1, A2, A5, A6 and A7)
Understand the Language
of Algebra
Substitute Positive whole
numbers
Plot Coordinates in all 4
quadrants
Plot lines parallel to the
axis
Substitute Negative
numbers and Fractions
Plot the graph of a linear
equation
Identify the equation of a
straight line from its graph
Substitute irrational
numbers such as Pi
Change the subject of a
formula (linear)
Plot the Graph of a
Quadratic Equation
Find the equation of a line
given 2 points
Find the nth term of a
linear sequence
Use the nth term to
generate a sequence and
solve problems
Find and use the nth term
of a decreasing linear
sequence
Continue a non-linear
sequence
Simplifying a Surd using a
factor Tree
Multiplying and Dividing
Using Surds
Use Pi in Exact
calculations
Solve Quadratics using the
quadratic Formula
Change the subject of a
formula (non-linear)
Read of a solution from a
Quadratic Graph
Plot the Graph of a Cubic
Find the equation of a
Perpendicular Line at a
given point
Find the nth term of a
Quadratic Sequence
Solve problems with nonlinear sequences
Graphs
(A8, A9, A10, A12)
Sequences
(A23, A24 and A25)
Continue a sequence
Describe a sequence using
a term to term rule
Michaelmas 2
Levels 1 to 3
Levels 2 to 4
Levels 3 to 5
Levels 4 to 6+
Proportion
(R10, R11, R12, R13
and R14)
Recipe Questions where
scale factors are whole
numbers
Simple best buy questions
Direct Proportion using
formal algebraic
methodology
Inverse Proportion using
formal algebraic
methodology
Identify the graphs of
Direct and Indirect
proportionality
Ratios
(R3, R4, R5, R6, R7 and
R8)
Simplify a ratio into its
simplest form
Simplify a Fraction
Problem solving using
ratios
Use Ratios to solve Vector
Geometry Problems
Percentages
(N12, R16 and R9)
Find Simple Percentages
of an amount with or
without a calculator
Compound Interest and
Depreciation
Reverse Percentages
Including Iteration
Area and Perimeter
(G16, G17 and G18)
Area and Perimeter of a
Square, Triangle,
Parallelogram or Kite
Compound Area
Proportion problems such
as Recipe Questions and
Value for money Problems
involving changing units
Currency Conversions
Form and use a
Conversion Graph
Share an amount in a
given ratio
Convert a Ratio into a
Fraction
Percentage Increase/
Decrease
Percentage Change
Percentage out of an
Amount
Area of a Trapezium,
Circle
Circumference
Problem solving area
questions
Area of a Sector
Length of an Arc
Area of a triangle using
trigonometry
Area of a Segment
Lent 1
Fractions and Negative
Numbers
(N1, N2 and N10)
Angles
(G1, G3, G6 and G10)
Equations and
Inequalities
(A17, A19, A21, A22)
3d Shapes
(G1 and G12)
Levels 1 to 3
Levels 2 to 4
Levels 3 to 5
Levels 4 to 6+
Ordering Positive and
Negative Numbers
Adding and Subtracting
fractions with the same
denominator
Classify and Measure
Angles
Use angles on a straight
line and around a point
4 Operations with
Fractions
4 Operations with
Negative Numbers
4 Operations with Mixed
Numbers
4 Operations with simple
Algebraic Fractions
Rationalise the
denominator using Surds
Solve Angle problems
involving Interior and
exterior angle as well as
problems using parallel
lines
Solve Equations and
Inequalities with
unknowns on both sides
Form and Solve equations
Volume and Surface area
of a Prism
Prove simple angle facts
Use the Circle theorems to
find missing angles
Solve Linear Inequalities
using the elimination
method
Solve Quadratic
Simultaneous Equations
by substitution
Volume and Surface area
of compound Prisms
Volume of Cones,
Cylinders, Spheres and
Pyramids
Solve 1 and 2 step
equations and Inequalities
Write an inequality on a
number line
Volume by counting Cubes
Use the terms Vertices,
Faces and Edges
Lent 2
Levels 1 to 3
Levels 2 to 4
Levels 3 to 5
Levels 4 to 6+
Pythagoras and
Trigonometry
(G20 and G22)
Simple Pythagoras
Squaring and Rooting
numbers
Pythagoras of compound
shapes
Simple Trigonometry
Sine and Cosine Rules
Similarity and
Symmetry
(R2, G5 and G19)
Identify Congruent and
Similar Shapes
Enlarge shapes
Rotational and line
Symmetry
Measuring Angles and
Lines
Drawing a Net and Plan
and Side elevations
Use the terms SAS, SSS
and ASA to prove
congruence
Solve Similarity problems
for 2d shapes
Construct a Triangle using
SAS, SSS and ASA
Solve Similarity problems
for 2d shapes including
Areas
Solve similarity problems
for 3d shapes including
Volume
Construct a bearing
Identify an optimal region
using inequalities
Probability using words
Probability of Single
Events
Sample space diagrams
Relative Frequency
Frequency Trees
2 way Tables
Construct Perpendicular
Bisectors and Angle
Bisectors
Solve problems involving
Loci
Tree Diagrams
Constructions
(G2, G13, G15 and
A22)
Probability
(P1,P2,P3,P4,
P6,P7,P8,P9)
Using Venn Diagrams to
solve probability and
frequency problems
Set Notation
Trinity 1
Levels 1 to 3
Fractions, Decimals,
Percentages and
Standard Form
(N2, N3 and N9)
Manipulating
Expressions
(A4, A18)
Ordering Decimals
BIDMAS
Simple Multiplication
Collecting Like terms
Expanding a Single
Bracket
Factorise into a Single
Bracket
Relationship Graphs
(S6, S2 and R1)
Plotting a Scatter Graph
Using a Conversion Graph
Averages
(S1,S4 and S5)
Mean, Median, Mode and
Range from a list of
numbers
Levels 2 to 4
Levels 3 to 5
Ordering Fractions,
Long Multiplication with
Decimals and Percentages
numbers such as 23.7
Long Multiplication
Writing a number in
Multiplying Decimals
Standard Form
Expand and Simplify
Factorise a quadratic
Expand two Brackets
Identify the difference of 2
Factorise expression of the
squares
2
form x + kx
Solve a Quadratic by
factorising
Classify Correlation
Using a Distance-Time
graphs
Mean, Median, Mode and
Range from frequency
table
Use the terms
extrapolation and
interpolation
Mean, class that includes
the Median, Modal class
and Range from grouped
frequency table
Levels 4 to 6+
Converting Recurring
decimals into fractions
Calculations using
Standard Form
Factorise a quadratic of
the form ax2 + bx + c
Write a quadratic in
completed square form
Expand using Surds
Time Series graphs
Interquartile range and
box plots from a list of
numbers
Compare distributions
Trinity 2
Levels 1 to 3
Levels 2 to 4
Levels 3 to 5
Levels 4 to 6+
Estimation and
Rounding
(N14, N15 and N16)
Round to the nearest
multiple of 10
Round to 1 or 2 decimal
places
Round to 1 or 2 Significant
Figures
Estimate the answer to 1
step calculations
Estimate the Answer to
compound calculations
Calculate the error bounds
of a calculation using
inequality notation
Transformations and
Vectors
(G24, G25 and G7)
Reflect in the x and y axis
Translate shapes using
Vector notation
Enlarge shapes by a scale
factor
Pictogram
Bar chart
Tally Chart
Rotate around a point
Enlarge through a point
Reflect through any
straight line
Negative and fractional
scale factor enlargements
Simple Vector arithmetic
Describe a transformation
Solve problems involving
vectors
Pie Chart
Stem and Leaf
Cumulative Frequency
Curve
Box Plots
Histograms
Use Index Notation
Use the Multiplication,
Division and Power of a
Power Laws of Indices
Use the Zero Power Rule
Use the Multiplication,
Division and Power of a
Power Laws of Indices
where there is a
coefficient other than 1
Use Fractional Powers to
evaluate numbers
including fractions
Use Negative Fractional
Powers to evaluate
numbers including
fractions
Charts and Graphs
(S2 and S3)
Indices
(A1,A3 and A4)