Year 11 Overview – Pathway to B – Target Level A
Term 1
Topic 1-Errors
Topic 2 – Quadratics
Topic 3 - Probability
Topic 4 – Fractional Indices
Topic 5 - Formulas
Fertile
Question
Skill
How accurate is accurate?
Two brackets or one
bracket?
Factorise quadratics
ax2 +bx + c
Tree diagram or not?
Why is power ½ a square
root?
Fractional powers
correspond to roots
How many subjects can a
formula have?
Manipulate/balance
Key content
Assessment
Opportunity
Identify Upper/Lower
Bounds
Drawing tree diagrams
How do you:
How do you:
How do you:
How do you:
How do you:
Identify the upper and
lower bounds of
measurement- review
Calculate absolute
error
Calculate percentage
error.
Expand expressions
with two brackets
Identify quadratic
expressions
Factorise quadratic
expressions
Identify the difference
of two squares
Solve quadratic
equations by
factorisation (ax2)
Use the 'Or' and 'And'
rule to calculate
probabilities - review
Use tree diagrams to
calculate probabilities
- unequal probabilities
- review
Use tree diagrams to
calculate conditional
probabilities
Understand selection
with or without
replacement
Calculate using the
rules of indices review
Know that fractional
indices correspond to
specific roots Know
the fractional
equivalent of negative
indices
Know that anything to
a zero power has the
value of 1.
Expand and factorise
expressions with a
single bracket - review
Rearrange formula to
find the subject where the subject
appears more than
once Change the
subject of a formula
including cases where
the subject is on both
sides of the original
formula
End of topic assessment:
Review Lesson
Class Test
End of topic assessment:
Review Lesson
Class Test
End of topic assessment:
Review Lesson
Class Test
End of topic assessment:
Review Lesson
Class Test
End of topic assessment:
Review Lesson
Class Test
REVISION FOR JANUARY MOCK
EXAMINATION
Term
Year 11 Overview – Pathway to B – Target Level A
Term 2
Topic 6- Exponential
Graphs
Topic 7 – Vectors
Topic 8 – Quadratics
Topic 9 – Histograms
Fertile
Question
Why must an exponential
Graph Pass through the
point (0,1)
Graph plotting and
sketching
How does a vector give
size and direction?
How does one formula
give two solutions?
How does the histogram
show frequency?
Write Vectors in Column
Using the quadratic
formula
Are of a rectangle!
Skill
Key content
How do you:
How do you:
How do you:
Plot and interpret
exponential graphs?
State the purpose of a
vector?
Write vectors in
column format?
Add/subtract vectors
using column format
and graphically?
Multiply vectors by
scalars?
Calculate the resultant
of two vectors?
Identify parallel
vectors?
Apply vector methods
for simple geometrical
proofs?
Solve quadratic
Plot and interpret
equations using
histograms with
factorisation – review? unequal class width?
End of topic assessment:
Review Lesson
Class Test
End of topic assessment:
Review Lesson
Class Test
Use calculators to
explore exponential
growth and decay?
Assessment
Opportunity
End of topic assessment:
Review Lesson
Class Test
Solve quadratic
equations using
formula?
How do you:
Understand and
define frequency
density?
Complete a grouped
frequency grouped
table from a
histogram?
End of topic assessment:
Review Lesson
Class Test
Topic 10 –
Rational/Irrational
Numbers
What makes a number
irrational?
REVISION FOR MARCH MOCK
EXAMINATION
Term
Using square roots in
calculations
How do you:
State the difference
between a rational
and irrational
number?
Know and prove that
all recurring decimals
are rational?
Know that π is an
irrational number?
Simplify irrational
numbers in surd form?
Write (3 – √3)2 in the
form a + b√3?
Rationalise a
denominator?
End of topic assessment:
Review Lesson
Class Test
Year 11 Overview – Pathway to B – Target Level A
Fertile
Question
Skill
Key content
Topic 11 – 3D
Pythagoras/Trigonometry
Formula recall, 3D
visualisation
Topic 12 – Similarity – Area
and Volume
What makes a shape a
similar shape?
Calculation of scale factors
Topic 13 – Circle Properties
Topic 14 – Simultaneous
Equations
Spatial awareness – proof and deduction
Algebraic Manipulation
How do you:
How do you:
How do you:
How do you:
Give an answer to use
of Pythagoras’
theorem as √13?
Know the
relationships between
linear, area and
volume scale factors
of mathematically
similar shapes and
solids?
Identify chords, sectors, segments and radii on a
circle?
Calculate angles associated with circles?
Prove and use the facts that:
– the angle subtended by an arc at the centre of a
circle is twice the angle subtended at any point on
the circumference
– the angle in a semicircle is a right angle
– angles in the same segment are equal
State the features of a cyclic quadrilateral
– opposite angles of a cyclic quadrilateral sum to
180o
– alternate segment theorem
– the perpendicular from the centre of a circle to a
chord bisect the chord
State the conditions for a straight line to be a
tangent to a circle?
Understand and use the fact that the tangent at any
point on a circle is perpendicular to the radius at
that point?
Understand and use the fact that tangents from an
external point are equal in length?
Find missing angles on diagrams?
Give reasons for angle calculations involving the use
Plot and interpret
x2+y2= a2 (circle graph
centre (0,0) radius
'a')?
Plot and interpret 3D
coordinates?
Calculate using
Pythagoras Theorem
and Trigonometry as
appropriate in 3D?
Calculate SFL, SFA, and
SFV ?
Use SFL, SFA, and SFV
to calculate sides
areas and volumes?
Use the effect of
enlargement on areas
and volumes of shapes
and solids?
Find the points of
intersection for a
straight line graph and
a circular graph?
Solve simultaneous
equations (non linear)
–graphically?
Solve simultaneous
equations (non linear)
-by substitution?
Solve quadratic
equations by
factorisation (ax2) –
review?
REVISION FOR JUNE EXAMINATION
Term
Year 11 Overview – Pathway to B – Target Level A
of tangent theorems?
Assessment
Opportunity
End of topic assessment:
Review Lesson
Class Test
End of topic assessment:
Review Lesson
Class Test
End of topic assessment:
Review Lesson
Class Test
End of topic assessment:
Review Lesson
Class Test