St josephs 3rd level course breakdown

CFE 3rd
Level Course Breakdown
Pupil Self Assessment Key
S – Secure I have covered this experience/outcome and with confidence I can achieve it MTH – Math E/O
C – Consolidating I have covered this experience/outcome but I need a bit more revision to confidently achieve it MNU – Numeracy E/O
D – Developing I have covered this experience/outcome and I am currently unable to achieve it
School Homework
Eating Sleeping
Tv
BLOCK 1 Outcome/Experience Success Criteria Examples Pupil Self
Assessment
Topic 1.1
Data and analysis
Information from charts.
Interpreting graphs and
diagrams.
I can work collaboratively, making
appropriate use of technology, to source
information presented in a range of ways,
interpret what it conveys and discuss
whether I believe the information to be
robust, vague or misleading.
MNU 3-20a
I can recognise that data can be
collected and presented in ways that
give bias
I can make decisions about the
validity of data.
Do pupils spend too much time at school?
S C D
Topic 1.2
Data and analysis
Sample size.
Bias.
Collecting data for statistical
surveys.
When analysing information or collecting
data of my own, I can use my understanding
of how bias may arise and how sample size
can affect precision, to ensure that the data
allows for fair conclusions to be drawn.
MTH 3-20b
I can choose an appropriate sample
size when conducting a survey
I have learned that the composition
of my sample can introduce bias and
affect how reliable my survey will be
I can choose and justify my data
Collection strategy
Methods of collecting data
Construct a questionnaire
Do research on the internet
Carry out an experiment
Use a software database
Visit a library for books or other print
sources
Topic 1.3
Data and analysis
Creating graphs, charts and
diagrams.
Grouped frequencies.
Conversion graphs.
Pie charts.
Choosing data displays and
communicating findings.
I can display data in a clear way using a
suitable scale, by choosing appropriately
from an extended range of tables, charts,
diagrams and graphs, making effective use
of technology.
MTH 3-21a
I can draw a range of charts, graphs,
diagrams and tables
I can choose the best diagram to
communicate the results of the
survey

CFE 3rd
Assessment
Topic 2
Number & Number processes
Quick methods & estimation
I can continue to recall number facts quickly
and use them accurately when making
calculations.
MNU 3-03b
I can add/subtract/multiply/divide
confidently and calculate estimations
using rounding
I can use BODMAS when answering
calculations
300 x 0.8 = 30 x 8 = 240
37 x 204 ≈ 40 x 200 ≈ 8000
6012 ÷ 28 ≈ 6000 ÷ 30 ≈ 200
5 + 3 x 4 or (6 + 3) – 4 x 2
S C D
Topic 3
Rounding.
Estimating.
Using a calculator.
I can round a number using an appropriate
degree of accuracy, having taken into
account the context of the problem.
MNU 3-01a
I can round to the nearest 10, 100,
1000
I am able to round to the required
number of decimal places
I am able to round to the required
number of significant figures
3467 is 3470 to the nearest ten
is 3500 to the nearest hundred
is 3000 to the nearest thousand
3.474 is 3.5 to 1 decimal place
is 3.47 to 2 decimal places
1474 is 1500 to 2 sig figs
is 1470 to 3 sig figs
Topic 4
Angles, symmetry and
transformations
Naming angles.
Calculating missing angles.
Complemetary &
Supplementary.
Vertically opposite.
Angles round a point.
Angles in a triangle.
I can name angles and find their sizes using
my knowledge of the properties of range of
2D shapes and the angle properties
associated with intersecting and parallel
lines.
MTH 3-17a
I can name angles
I can calculate missing angles
AB
ABC or CBA
50o160o
?
125o
125o
50o
40o
35o145o

CFE 3rd
Assessment
Topic 5
The number line and
inequalities.
Negative numbers in real life.
Adding negative numbers.
Subtracting negative
numbers.
I can use my understanding of numbers less
than zero to solve simple problems in
context.
MNU 3-04a
 I can understand the concept of
positive and negative numbers
 I can complete basic integer
calculations
 I can understand basic inequalities
 2 – 5 = -3, 5 + (-2) = 3, -2 – (-7) = 5
 4oC > 1oC, -5oC < -2oC
S C D
Topic 6.1
Expressions and equations
Algebraic terms and
expressions.
Simplifying expressions.
Collecting like terms.
Substitution.
Substitution into formulae.
I can collect like algebraic terms, simplify
expressions and evaluate using
substitution.
MTH 3-14a
I can simplify expressions
I can substitute and evaluate
I can substitute into formulae
 3x + 5y – x + 7y = 2x + 12y
 6x2 - 2y2 + 3x2 + 9y2 = 9x2 + 7y2
I Let a = 2, b = -3 and c = 5
Evaluate 3a + 2b , abc or 4b2
 Evaluate F = ma when m = 10kg
a = 6m/s/s
Topic 6.2
Solving equations using the
‘cover-up’ method.
Solving equations using
inverse mapping.
Solving equations with letters
on both sides.
Using algebra and diagrams
to solve problems.
Having discussed ways to express problems
or statements using mathematical language,
I can construct, and use appropriate
methods to solve, a range of simple
equations.
MTH 3-15a
I can solve 1 step simple equations
I can solve simple 2 step equations
I can make equations from word
puzzles
Solve:
2x – 4 = 14, 3x + 6 = x + 20
x - 3 = 8
5
My son is 25 years younger than I am. Our
ages add to 81. How old are we both?

CFE 3rd
Assessment
Topic 7
Fractions, decimal fractions
and percentages
Adding/subtracting decimals.
Multiplying/dividing decimals.
Fractions of quantities.
Expressing one quantity as a
percentage of another.
Percentages of quantities.
Percentage increase and
decrease.
Real life problems
I can solve problems by carrying out
calculations with a wide range of fractions,
decimal fractions and percentages, using
my answers to make comparisons and
informed choices for real-life situations.
MNU 3-07a
I can find fractions and percentages
of problems
I can interpret % increase/decrease
 I can express ‘A’ as a % of ‘B’
I can add/subtract/multiply/divide
decimals in problems
I can compare values
e.g. 3 for 2 or 30% discount
75% of £120, 20% of 30, ¾ of £92
12% of 80 = 12 ÷ 100 x 80 = 9.6
A jacket originally costing £45 is reduced
in the sales by 10%. What is the new price?
Express 12 out of 20 as a percentage
12 x 100 = 60%
20
0.7 x 0.8
S C D
Topic 8
Measurement
Perimeter and area of
rectangles.
Area of a triangle.
Area of a parallelogram.
Area of a trapezium.
Task: design a bedroom.
Metric units for area and
volume
I can solve practical problems by applying
my knowledge of measure, choosing the
appropriate units and degree of accuracy for
the task and using a formula to calculate
area or volume when required.
MTH 3-11a
 I can use my knowledge of perimeter
and area to solve practical problems
 I can calculate the area of rectangles,
parallelograms & trapeziums
presented in different ways
 I can convert between units of area to
express answers

CFE 3rd
Assessment
Topic 9.1
and percentages
Converting mixed numbers to
improper fractions.
Converting improper fractions
to mixed numbers.
Having used practical, pictorial and written
methods to develop my understanding, I
can convert between whole or mixed
numbers and fractions.
MTH 3-07c
I am able to convert between mixed
numbers and fractions
5 26
7 7
17 5
6 6
75 5 1
35 35 7
S C D
Topic 9.2
and percentages
Adding and subtracting
fractions.
Adding and subtracting with
same denominator.
Adding and subtracting with
different denominator.
Multiplying & Dividing inc
Mixed Numbers
By applying my knowledge of equivalent
fractions and common multiples, I can add
and subtract commonly used fractions.
MTH 3-07b
I can add and subtract commonly
used fractions
I can multiply fractions
2 + 3 = 5
7 7 7
2 3
5 5
2 + 1 = 13
3 5 15
3 x 1 = 3
4 5 20
3 =
=
2
= 2 = 2
7 - = 6

CFE 3rd
Assessment
Topic 1
transformations
Coordinates.
Using coordinates.
I can use my knowledge of the coordinate
system to plot and describe the location of
a point on a grid.
MTH 3-18a
I can explain how to find the
missing vertice in a 2D shape
I can plot, calculate area and reflect a
2D shape
My World of Work Lesson
S C D
Topic 2
Properties of 2-D shapes & 3-D
objects
The circle and its parts.
Circumference of a circle.
Historical approximations.
Historical values for C/d.
Area of a circle
Having investigated the relationships
between the radius, diameter,
circumference and area of a circle, I can
apply my knowledge to solve related
problems.
MNU 3-11a
MTH 3-11b
I can use a formula to calculate the
Circumference/area of a circle
xO

CFE 3rd
Assessment
Topic 3
and percentages
Simplifying ratios.
Using equivalent ratios.
I can show how quantities that are related
can be increased or decreased
proportionally and apply this to solve
problems in everyday contexts.
MNU 3-08a
I can use the correct notation to
express a ratio
I can simplify ratios
Simplify 4:20 and 16:48
Ratio of red:blue?
S C D
Topic 4
Measurement
Volume of a cuboid.
Metric units for area and
volume.
Volume of compound 3D
shapes.
I can solve practical problems by applying
my knowledge of measure, choosing the
appropriate units and degree of accuracy for
the task and using a formula to calculate
area or volume when required.
MTH 3-11a
Having investigated different routes to a
solution, I can find the area of compound
2D shapes and the volume of compound 3D
objects, applying my knowledge to solve
practical problems
MTH 3-11b
 I can calculate the volume of cuboids
 I can convert between units of area,
volume & capacity to express answers
I can divide compound 3D objects into
simpler objects to find their volume
I can apply formulae to 2D and 3D
compound shapes
Topic 5
Money
Wages & Salaries
Bonuses and commission
Overtime
Gross Pay, Deductions & Net
Pay
I can budget effectively, making use of
technology and other methods, to manage
money and plan for future expenses.
MTH 3-09b
I can calculate bonuses & wage rises
I can use percentages to calculate
commissions
I can calculate wages inc overtime
I can calculate gross pay, net pay &
deductions
Net Pay = Gross Pay - Deductions

CFE 3rd
Assessment
Topic 6
Time
Calculating speed; Calculating
distance.
Calculating time.
Calculating speed, distance
and time: mixed questions.
Distance-time graphs.
Using simple time periods, I can work out
how long a journey will take, the speed
travelled at or distance covered, using my
knowledge of the link between time, speed
and distance.
MTH 3-10a
I can solve problems using my
knowledge of the relationships
between speed, distance and time
I can read and interpret
distance-time graphs
My World of Work Lesson
S C D
Topic 7
Powers and roots
Powers and index form.
Using a calculator.
I can continue to recall number facts quickly
and use them accurately when making
calculations.
MTH 3-06a
I can find powers and whole numbers
with and without a calculator
I can find square roots and some
simple cube roots
46 = 4 x 4 x 4 x 4 x 4 x 4
√36 = 6, ∛27 = 3
w4 x w5 = w9 = w7
w2 w2
Topic 8
Money
Budgeting.
Exchange rates.
I can budget effectively, making use of
technology and other methods, to manage
money and plan for future expenses.
MTH 3-09b
I can exchange money to and from
other currencies
I can work within a budget
Exchange Rate for Euro is 1.18 (June 2013)
 £20 x 1.18 = 23.6€
 20€ ÷ 1.18 = £16.95
Did Mr Johnston save or lose money in June?
Time
Distance
S T
D
T = D ÷ S
D = S x T

CFE 3rd
Assessment
Topic 1
Multiples, factors and primes
Common multiples.
Common factors
Prime Factors
I have investigated strategies for identifying
common multiples and common factors,
explaining my ideas to others, and can
apply my understanding to solve related
problems.
MTH 3-05a
I can apply my understanding of factors to
investigate and identify when a number is
prime.
MTH 3-05b
I can find common multiples
and common factors
I can use lcm to compare prices
I can recognise if a number is prime
Find the h.c.f of 18 and 32
Find the l.c.m of 5, 7 and 12
A bell rings every 3mins, a horn every
4mins and a siren every 5mins. At 5pm
they sound at the same time. When will
they all sound at the same time again?
Find the prime factors of 60
60
5 12
S C D
Topic 2.1
Patterns and relationships
Sequences and rules.
Finding missing terms.
The nth term formula.
More difficult sequences.
Having explored number sequences, I can
establish the set of numbers generated by a
given rule and determine a rule for a given
sequence, expressing it using appropriate
notation.
MTH 3-13a
I can use my understanding of the
term-to-term rule to find missing
terms of a sequence
I can find the nth term formula for
more difficult sequences

CFE 3rd
Assessment
Topic 2.2
Formulae.
Evaluating a formula.
Finding one of the other
variables in a formula.
Creating a formula from a
table of values.
Creating your own formula to
represent a statement or
problems.
Having discussed ways to express problems
or statements using mathematical language,
I can construct, and use appropriate
methods to solve, a range of simple
equations.
MTH 3-15b
I can confidently find the subject of a
formula by substituting in values
I can create a formula to link two
variables given in a table
I can create a formula to represent
a problem or statement
 Evaluate V = u + at when u = 10m/s,
a = 5m/s/s and t = 6secs
S C D
Topic 3
transformations
Parallel and Perpendicular
lines.
Alternate and corresponding.
Angles in a quadrilateral.
Interior and exterior angles in
a polygon.
I can name angles and find their sizes using
my knowledge of the properties of range of
2D shapes and the angle properties
associated with intersecting and parallel
lines.
MTH 3-17a
I can name angles
I can calculate missing angles
I can calculate corresponding
and alternate angles
AB
ABC or CBA
50o
160o
? 50o
80o
80o
130o
75o 75o
125o
125o
145o
145o 145o
145o

CFE 3rd
Assessment
Topic 4
Properties of 2D shapes & 3D
objects
Constructing triangles.
Constructing other 2D
shapes.
Constructing nets of 3D
objects.
Having investigated a range of methods, I
can accurately draw 2D shapes using
appropriate mathematical instruments and
methods.
MTH 3-16a
I can accurately draw triangles from
given information
I can use the properties of different
quadrilaterals and mathematical
instruments to draw them
S C D
Topic 5
transformations
Scale drawings.
Map scales.
bearings
Having investigated navigation in the world,
I can apply my understanding of bearings
and scale to interpret maps and plans and
create accurate plans, and scale drawings of
routes and journeys.
MTH 3-17b
I can recall compass points and
interpret scale to find missing values
I can interpret and use 3 fig. bearings
I can create an accurate scale drawing
of a journey
Scale: 1cm to 8km
Topic 6
and percentages
Proportion, ratio.
Dividing quantities in a given
ratio.
I can show how quantities that are related
can be increased or decreased
proportionally and apply this to solve
problems in everyday contexts.
MNU 3-08a
I can use the correct notation to
express a ratio
I can divide a quantity in a given ratio
3 bars of soap cost £1.80
How much for a) 1 b) 7 c) 12
Divide £80 in the ratio 1:9
45o43o
B
A
C
10cm
040o
130o
N
N
N

CFE 3rd
Assessment
Topic 7
transformations
Line symmetry.
Reflections.
Reflections in two mirror
lines.
I can illustrate the lines of symmetry for a
range of 2D shapes and apply my
understanding to create and complete
symmetrical pictures and patterns.
MTH 3-19a
I can create symmetrical patterns &
pictures
I can find the lines of symmetry of a
shape, picture & pattern
I can reflect shapes in one mirror line
I can reflect shapes in more than one
mirror line
S C D
Topic 8
Ideas of chance and
uncertainty
Probability and the probability
scale.
Calculating the probability of
an event not happening.
Listing all the possible
outcomes.
Making choices and decisions
based on chance and
uncertainty.
I can find the probability of a simple event
happening and explain why the
consequences of the event, as well as its
probability, should be considered when
making choices.
MTH 3-22a
I can calculate the probability of an
event happening
I can calculate the probability of an
event not happening
I can list all the possible outcome of
an event
I can use my understanding of chance
and uncertainty to make informed
decisions

CFE 3rd

St josephs 3rd level course breakdown

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St josephs 3rd level course breakdown