Maths
Progress
Ladder
A01
Demonstrate Knowledge of Basic Can Interpret information to solve
Number, Algebra, Shape and Data problems involving Number, Algebra,
Topics.
Shape and Data Questions.
% of total
grade
Old grade
%
8
=
-
Can independently use:

Can Analyse, interpret and use given
information to solve complex
problems involving Number, Algebra,
Shape and Data.
Analyse, evaluate and make
substantiated Proof justifications
linked to Number, Algebra, Shape
and Data.
%
%
Additional
Indicators
%



7
=
-





+

Can independently use:
Can independently use:

Algebraic Fractions

Inverse Functions

Pythagoras in 3D

Surds
Perpendicular Lines
Completing the Square

Simultaneous Equations with a
quadratic
Solving Quadratic Inequalities


Composite Functions
Velocity Time Graphs


Trigonometry in 3D
Vectors
Use and apply formulas for
Spheres, Frustums,
Pyramids and Cones
Apply the process of
Iteration
Fractional Indices
Recurring Decimals Proof
Rearranging Difficult
Formula
Can independently:
6
Can independently use:
Calculations involving
fractions with Upper and
Lower Bounds
Can independently:
+
B
A04
9
+
A
A03
New
grade
A*+
A*
A02
Rearrange simple
equations/ formulas

Finding the Nth Term of a
Quadratic
Can independently:



Solve Quadratics with the Formula
Factorising difficult Quadratics
Exponential Functions

Trigonometric Graphs
Can independently:
Can independently:

Use and apply Equations of a
Circle

Use and apply formulas for
The Sine Rule


Use Regions
Calculate Similar Shapes- Area
and Volume



Transform Functions
Do Algebraic Proof
Use and apply formulas for
The Cosine Rule
Use and apply formulas for
Area of a Triangle using Sine
And or Probability
Questions
Histograms



Can independently:



Finding Equations of a straight line
Negative Indices
Factorising and Solving Quadratics
Can independently:


Use Greatest and Least Values
of Bounds
Apply Mathematical Reasoning
Can independently:

Use enlargement and
Negative scale factors
File: Maths Progress Ladder v.2

=


Solving Simultaneous
Linear Equations
Solving Simultaneous
Equations Graphically
Use of Bounds
Compound Interest/
Depreciation
Loci
Congruent Triangles

Stratified Sampling



-
Can independently:

+


C+/B-
5
=


Substitute numbers into
expressions and formulae;
derive a formula and, in
simple cases, change its
subject
Expand and simplify the
product of two linear
expressions
Plot graphs of simple
quadratic and cubic
functions
Solve inequalities in one
variable and represent the
solution on a number line
Estimating Solutions





Error Intervals
Sketch and interpret graphs of
quadratic, cubic and reciprocal
functions
Use sine, cosine and tangent in
right angled triangles in 2D
Recall and use formula for Sector
of a Circle
Recall and use formula for Length
of Arcs
Can independently use:
+




Enlarge a shape by a scale
factor
Interpret Harder Tree
Diagrams
Convert Recurring Decimals to
Fractions
Apply the process for Product
of three binomials
Can independently use:







Sharing amounts in a given
ratio



Find the modal class and
estimated mean from grouped
data
The Nth Term/ Special Sequences
Pythagoras Theorem
Draw the locus of a moving object





Ratios and Recipe Questions
Proportion
Value for Money
Percentages in Parts
Surface Area and Volume







Laws of Indices
Standard Form
Expanding and Factorising
Quadratics
Mid Point of a Line
Gradient
Use trial and improvement to
solve things like x3+5x=38
Forming and Solving equations
Understand that a2-b2=(a+b)(ab)
Give and test a hypothesis to a
situation







Solve linear simultaneous
equations
Rounding to Decimal Places and
Significant Figures
Product of Prime Factors/ HCF/
LCM
Fraction- Add, Subtract, Multiply ,
Divide





Can independently:

Substitute numbers into
expressions and formulae; derive a
Can independently:

Calculate the probability of a
compound event
Apply combined
Transformations to solve
problems
Use Circle Theorems
Apply circle theorems to
Proof
Probability with Venn
Diagrams
Cumulative Frequency
Box Plots
Can independently use:
Calculate the probability of a
compound event

Can independently:
4

Recall and use Geometric
Progression
Introduction to vectors

-
D+/C-







Simple Interest
Compound
Interest/Depreciation
Reverse Percentages
Percentage Change
Exchange Rates
Two Way Tables
Understand and apply
Trigonometry (SOH CAH
TOA))
Understand and use
Pythagoras’ Theorem in 3-d
Probability/Frequency Trees
Use trial and improvement
to solve things like x3+5x38=0
Solve simultaneous, linear
equations with two
variables (Using graphs or
algebra)
Enlarge a shape by a
fractional scale factor
Can independently:

Use Ratios
File: Maths Progress Ladder v.2

=


-
Find the area and
circumference of a circle
Solve linear equations with
integer coefficients
Find the missing angles
when two parallel lines are
intersected
Can independently:
D
3
+

=



Use a simple function
machine
Describe number patterns
Find multiples and factors
Put numbers in order
including negative
numbers
Can independently:

+

2
=


Can independently:





-
E

Add and subtract numbers
with two digits mentally
and numbers with three
digits using written
methods.
Interpret Real Life Table
formula and, in simple cases,
change its subject
Expand and simplify the product of
two linear expressions
Plot graphs of simple quadratic
and cubic functions
Solve inequalities in one variable
and represent the solution on a
number line







Add, subtract, multiply and divide
decimals by single digit numbers
Use co-ordinates in all four
quadrants
Multiply or divide a three digit
number by a two digit number

Use simple Mathematical
Notation
Interpret Tally Charts, Bar Charts
and Pictograms
State the Names of Angles
Identify Coordinates
Find the modal class and
estimated mean from grouped
data
Draw the locus of a moving
object
Understand and use
Pythagoras’ Theorem









Remember the metric
conversions
Work out a fraction or
percentage of a number


Use Introduction to Algebraic
Conventions
They can substitute positive
values into linear expressions.
They identify all the
symmetries of 2D shapes
They understand and use the
probability scale from 0 to 1
Ratios and Recipe
Questions
Proportion
Value for Money
Percentages in Parts
Transformations
Reflection, rotation etc.
Can independently:
Find the mean, mode median
and range of discrete data
Measure and draw angles to
the nearest degree
Can independently:


Solve linear simultaneous
equations
Can independently:
Multiply and divide whole
numbers by 10, 100 and 1000
Add and subtract negative
numbers
Can independently:




Convert between equivalent
fractions, decimals and
percentages
Calculate using ratio
Plot the graph of y = mx + c
Classify quadrilaterals by
knowing their properties
Add and subtract fractions
with different denominators
Can independently:

Collect and record
continuous data, choosing
appropriate equal class
intervals over a sensible
range to create frequency
tables

Solve problems using angle
and symmetry, properties
of polygons and angle
properties of intersecting
and parallel lines.
File: Maths Progress Ladder v.2

Understand and use the
equivalences between
fractions, decimals and
percentages, and calculate
using ratios in appropriate
situations.

Can factorise quadratics
into two brackets.
-
Can independently:
+
F/G
1
=



Use mental calculation
strategies to solve basic
whole number problems
involving money and
measures.
Use Place Value
Use Lines of Symmetry
Can independently:



They add and subtract numbers
with two digits mentally and
numbers with three digits using
written methods.
Interpret Real Life Table
Use the Probability Scale
Can independently:




Use simple Mathematical
Notation
Interpret Tally Charts, Bar
Charts and Pictograms
Names of Angles
Coordinates
Can independently:



-
Entry
level 3
Entry
level 2
Can recall methods in areas of the
subject competently but has some
gaps in subject knowledge and a
limited ability to apply this to
unfamiliar contexts.
Has a robust knowledge and
understanding of the subject and can
apply this to some unfamiliar contexts,
e.g.
 They use all four operations with
decimals to two places.
Can recall methods in some areas Can recall methods competently but
of the subject competently but has ability to apply them to unfamiliar
some gaps in subject knowledge
contexts is limited.
and a limited ability to apply this
to unfamiliar contexts.
Has an exemplary interconnected
knowledge and understanding of the
subject and can consistently and
competently apply this to unfamiliar
contexts, e.g.

They understand and use the
equivalences between
fractions, decimals and
percentages, and calculate
using ratios in appropriate
situations.
Has a robust knowledge and
understanding of the subject and can
apply this to some unfamiliar
contexts, e.g.
 They use all four operations
with decimals to two places.
Use Introduction to
Algebraic Conventions
They can substitute positive
values into linear
expressions.
They identify all the
symmetries of 2D shapes
They understand and use
the probability scale from 0
to 1
Has an exemplary interconnected
knowledge and understanding of
the subject and can consistently
and competently apply this to
unfamiliar contexts, e.g.

They solve problems using
angle and symmetry,
properties of polygons and
angle properties of
intersecting and parallel
lines.
Has a deep knowledge and
understanding of the subject and
can competently apply this to
unfamiliar contexts, e.g.
 They construct, express in
symbolic form and use
simple formulae involving
one or two operations.
File: Maths Progress Ladder v.2
Entry
level
1
Can recall and use some basic
number, shape and data facts.
Has fundamental gaps in subject
knowledge which prevent them
from accessing some aspects of
the curriculum. At minimum
should be able to, for example:
 Use mental calculation
strategies to solve basic
whole number problems
involving money and
measures.
 Construct bar charts and
pictograms, where the
symbol represents a group
of units.
Can explain different methods to use
basic number, shape and data facts.
Has significant gaps in subject knowledge
and cannot apply methods to unfamiliar
contexts. At minimum should be able to,
for example:
 They add and subtract numbers
with two digits mentally and
numbers with three digits using
written methods.
Can interpret and use basic number,
Shape and Data facts to solve
problems.
Can recall methods in some areas of
the subject competently but has some
gaps in subject knowledge and a
limited ability to apply this to
unfamiliar contexts, e.g.
 Pupils collect discrete data and
record them using a frequency
table.
 Pupils use their understanding
of place value to multiply and
divide whole numbers by 10 or
100.
 They reflect simple shapes in a
mirror line.
Can interpret and justify solutions
using basic Number, Shape and
Data facts, e.g.
 They use all four operations
with decimals to two places.
 They identify all the
symmetries of 2D shapes
 They understand and use
the probability scale from 0
to 1
 They can substitute positive
values into linear
expressions.
File: Maths Progress Ladder v.2