Newbattle Understanding Algebra Progression S1-S6
Triangle Substitution
Pentagon Octagon Substitute
positive integers
Substitute
positive integers
(+, -, ×, BODMAS)
(brackets/fractions)
Substitute into
basic
squares/roots
Using Formulae
Substitute
decimals and
integers
Formulae in context
with positive integers,
Formulae in context
with positive integers,
Formulae in context with
positive integers,
one operation
basic BODMAS
brackets/fractions/square/roots.
Plot coordinates
/lines following
simple rules
Draw lines
of form y=a
and x=b
Use table of
values to
draw lines
Understand
meaning of
gradient
Identify
gradient
Pentagon Use all previous
formulae with
decimals/integers
Change subject of a
basic formula;
Use to go backwards
Basic
simplifying
with one letter
Collect
like
terms
Discover connection
between gradient,
y-intercept,
equation
Multiply basic
expressions
Equivalences
x = 1x, 2x+3 =
3+2x, ab=ba
Equations and
Inequalities
Calculate
gradient
Multiply 3+
letters, use
powers
Multiply and
collect like
terms
Triangle Plot
parabolas
Factorise
(positive
integer HCF)
Pentagon Use
< and
>
Plot/sketch
line using
y=mx+c
Like terms
with powers
Two step
equations
Multiply
brackets by
any factor
Multiply
brackets and
simplify
Factorise
common
factor
Multiply
double
brackets
Complete
coordinat
es
Identify
equation
of line
+- ×÷
algebraic
fractions
Extend two-step
method to
inequations
y=a(x-b)²+c
Basic rule from
table of values
in context
Roots of a
quadratic
on graph
Use link
between
equation and
coordinates
Pentagon Derive twooperation rule from
table of values
Graphs of
sin, cos
and tan
Solve one-step
involving fractions
and divide
Identify
equation
from form
Letters on
both
sides
Understand
sketch
graphs
Octagon Create
equations from
expressions
y–b=m(x–a)
Rearrange
Points of
intersection
Basic
rules of
indices
Manipulate
negative and
fractional indices
Revise numerical indices
Factorise
harder
trinomials
Decagon Octagon Inequalities
Change the
subject of complex
formulae
Dodecagon
Simplify
algebraic
fractions
Factorise
positive
trinomials
Solve
2
x =a ;
basic trig
Dodecagon
Triangle Creating
Expressions and
Equations
Change subject of
longer formulae;
go backwards
Harder
algebraic
fractions
Third rule
of indices
Trig identities
Dodecagon
Decagon Non-Linear
Graphs
Extend
formulae
used
Decagon Multiply
brackets by a
positive integer
Number
sentences
Dodecagon Decagon Collect like
terms, inc
negatives
Substituting
fractions
Negative
powers
Dodecagon
Octagon Octagon Fractional
powers
Decagon Common equivalences –x = -1x, 2x – 3= -3 + 3x
Brackets and
Factorising
Substitute into
surds/indices
expressions
Decagon Triangle Simplification
Substitute into
quadratic
expressions
Octagon Octagon Linear Graphical
Relationships
Function
Notation
Substitute
into powers
and roots
June 2015 Dodecagon
Decagon Pentagon Triangle Newbattle Community High School
Create expressions
in real-life context
including geometry
Coordinates
on curves
Negatives
in
inequation
Difference
of two
squares
Quadratic
equations
factorise
and formula
n term
of a
pattern
Model areas and
volumes as quadratic
expressions
Multiply
harder double
brackets
Factorise
any
trinomial
Coordinates
on parabolas
Problems
with
parabolas
Trig
equations
with CAST
Any linear or
quadratic
equation
Simultaneous
equations with
negatives
Phase
angles
Points of
intersection
Dodecagon
Form and solve
linear equations
in context
Harder
diff of 2
squares
Dodecagon Simultaneous equations by subtracting
Decagon th
Complete
square
Model and solve problems in
context involving quadratic
equations
Explore creating
more complex
formulae