Download Year 9 Maths Summer 2017 DT4

Year 9 revision list summer 2017
Calculator exam
1. Algebra
2. Mental powers and calculator use
3. Graphs and Time
4. Angles and Bearings
5. Polygons
6. Statistics
7. Fractions
8. Percentages and Financial Capability
9. Area
10.
Probability
TOPIC 1
ALGEBRA
You should
I can
Be able to solve an equation which has an unknown on both
sides of the equal sign by balance method
Be able to solve an equation which has an unknown on both
sides of the equal sign by inverse process
Remember the rules of BODMAS when substituting values
into formulae
Be able to find rules for extending simple number patterns
Be able to find the formula for the general term of a simple
number pattern using algebra.
Be able to find two step rules for extending patterns
Know and understand what the nth term of a sequence is.
Be able to find the formula for the nth term of a two-step
number sequence using algebra (including a number pattern
which is decreasing)
Be able to use a formula to find a particular term
Be able to find the inverse of a formula
TOPIC 2
ESTIMATING YOUR MENTAL POWERS
and CALCULATOR USE
You should
I can
Understand powers and roots
Be able to use index laws for multiplication and division
(positive integer powers, excluding negative power
answers) to evaluate 3² x 33 = 35 and 45 / 42 = 43
Know that 31 = 3 and 30 = 1
Be able to use your calculator to find the square of a
number
Be able to use your calculator to find the square root
of a number
Be able to use your calculator to find a number to any
power
Be able to use your calculator to find any root of a
number
Be able to appreciate the importance of showing
method when using a calculator
Be able to round to a given number of significant
figures
Be able to round to a sensible degree of accuracy
Be able to round to an appropriate degree of accuracy
Be able to estimate solutions to a problem using
rounded numbers
Be able to estimate the square root of a number
TOPIC 3
GRAPHS AND TIME
Assumed Knowledge at KS2- You should
I can
Be able to make sensible estimates of a range of
measures
Know the approximate size of metric units of length,
mass and capacity
Be able to convert metric units of length, mass and
capacity
You should
Know and be able to use standard conversions between
metric and imperial units
Be able to convert currency
Be able to use a conversion graph to find values in
I can
different currencies, weights, temperatures etc
Be able to display information graphically by following
a rule or formula, recording values on a table, drawing
axes and plotting the points
Be able to compare graphs and describe the
differences between them
Know how the formula effects the graph (e.g. t = 2m,
t = 3m)
Be able to convert hours and minutes to decimal hours
format
Be able to draw travel graphs (distance v time)
Know that the faster a train travels the steeper the
graph
Know that while a train is at rest the graph is
horizontal
Be able to interpret travel graphs
Be able to use S=D/T and rearrangements of this
formula
TOPIC 4
ANGLES AND BEARINGS
Assumed Knowledge at KS2- You should
I can
Be able to identify corresponding, alternate and
interior angles on parallel lines
Know and understand the properties of a quadrilateral
including parallel lines
Be able to find missing angles on a parallelogram
You should
Be able to calculate missing angles on a straight line or
at a point using algebra
Be able to calculate missing angles on a triangle using
algebra
Be able to use corresponding, alternate and interior
angle properties to calculate missing angles in complex
problems in GCSE Questions
Be able to measure or calculate a bearing between two
points
Be able to write a given scale in ratio notation
I can
Be able to draw an accurate diagram using bearings and
scaled distances
Be able to calculate the bearing of a return journey
TOPIC 5
POLYGONS
Assumed Knowledge at KS2- You should
I can
Know and can name polygons with 3, 4, 5, 6 and 8 sides.
Know the interior angles of a triangle add up to 180°
Know the interior angles of a quadrilateral add up to 360°
Know that a polygon has the same number of vertices as
sides and angles
Know the difference between regular and irregular
polygons
Be able to draw and count the lines of symmetry on a
regular polygon
Understand tessellations and congruence
You should
Know and be able to name polygons with 10 sides
Understand that a diagonal joins two vertices of a shape
an be able to count the number of diagonals in any polygon
Know that a regular polygon has rotational symmetry and
be able to work out the order for each polygon
Be able to identify particular sides and angles of a shape
by using letters
Be able to use a compass to construct triangles
Know what is meant by “exterior angle” and “interior
angle” in the context of polygons
Know that the exterior angles of any polygon add up to
360°
Know that the sum of the exterior and interior angles is
180°
Be able to calculate interior angles of a regular polygon
(max 6 sides) by drawing triangles
Know which polygons tessellate
I can
TOPIC 6
STATISTICS
You should
I can
Be able to use excel to draw barcharts
Be able to draw pie charts using fractions of total
where total frequency (or %) is not a factor of 360
Be able to find the mode, range (already covered in
Year 8), mean and median from a frequency table
Be able to draw a stem and leaf diagram for discrete
data (not back-to-back)
Be able to find the mode, median and range from a
stem and leaf diagram
Be able to understand how questionnaires can mislead
and how to design a good questionnaire
TOPIC 7
FRACTIONS
You should
I can
Be able to multiply a fraction by a fraction
Be able to multiply a decimal by a decimal by writing as
fractions
Be able to find the reciprocal of a whole number or a fraction
and know that a number and its reciprocal multiply to 1.
Be able to divide a fraction by a number and vice versa
Be able to divide a fraction by a fraction
Understand the effect of multiplying and dividing by a
fraction greater than or less than 1
TOPIC 8
PERCENTAGES AND FINANCIAL CAPABILITY
You should
Recall what the word percentage means and that the
symbol % represents it
Be able to convert between fractions, decimals and
percentages
I can
Know that to write one quantity as a percentage of another
it should first be written as either a fraction or a decimal
Understand and be able to calculate % profit and loss
Understand and calculate % increase and % decrease
Be able to find simple discounts of 50%, 25% and 10% etc
Be able to find any percentage of a quantity by finding 1%
first
Be able to calculate fractions of quantities by a variety of
methods
Be able to calculate a percentage of a quantity by
multiplying the equivalent fraction or decimal by the
quantity
Know when using a calculator to find a sum of money in £, a
display of 26.3 should be written as £26.30
Know and understand what VAT is
Be able to find the VAT on an item with and without a
calculator (20% and 5%)
Understand and be able to find the simple interest on a
bank account (mortgage payments at a fixed rate, interest
only mortgage)
Be able to find the amount with 5% interest by finding
105% x amount and 1.05 x amount
Understand and be able to find the compound interest on a
bank account
Be able to research the interest on a bank account
(including own) using branch information and internet
Understand what APR means and be able to make an
informed choice when choosing a savings account
TOPIC 9
AREA
Assumed Knowledge at KS2- You should
Know the difference between perimeter and area
Be able to find the perimeter of a shape
Be able to find or estimate the area of a shape by
counting squares
Be able to find areas of triangles (simple) and
quadrilaterals
Be able to find the compound area of any shape
Be able to convert metric units of length
I can
You should
I can
Be able to draw or identify the base and corresponding
perpendicular height of any triangle
Be able to use formula to find the area of a triangle
Be able to use formula to find the area of a
parallelogram
Be able to use formula to find the area of a trapezium
Be able to use formula to find the area of a kite
Be able to use formula to find the area of a rhombus
Know the formulae required for all of the shapes listed
above
Be able to convert metric units of area
TOPIC 10
PROBABILITY
Assumed Knowledge at KS2- You should
I can
Know and understand fairness of games and how
probability can help you when you are playing games.
Know the basic vocabulary associated with probability
lines (unlikely, likely, even chance, certain)
Be able to represent the likelihood of an event on a
probability scale where 0 is impossible and 1 is certain
Be able to write simple probabilities as fractions for
equally likely outcomes
You should
Know higher level vocabulary (see below ) and notation
P(A) and P(not A) or P(A) associated with probability
Understand that experimental probability may differ
from theoretical probability
Know that experimental probability is referred to as
relative frequency
Be able to calculate expected frequency
Know that probabilities add up to 1
Be able to calculate the probability of an event not
happening
Be able to draw a sample space diagram and use it to
find probabilities
Be able to list the sample space for tossing three coins
Be able to identify events with mutually exclusive
I can
outcomes and know that the sum of the probabilities
of all these outcomes is 1