Aquinas Grammar

 

• Bring all of your equipment on the day of the exam – pen, pencil, ruler, rubber, sharpener, compasses, protractor, scientific calculator – you are not giving yourself the best chance of success if you don’t!
• Answer all the questions – don’t leave any blank spaces!
• If you finish the paper before your time is up – go over the paper again…and again…and again…until you have run out of time! This may seem boring but you will spot mistakes you made the first time around and you will maximise your mark.
• When revising – use your notebook, workbook and textbook (and revision pack if you are in Year 9 or Year 10). The answers for the “Test Yourself” exercises are at the back of the book so you can do these and assess your own work. You can also re-do parts of exercises from the main body of the textbook (this is why we write in corrections!).

 

GET REVISING AND GOOD LUCK!

 

 

 

YEAR 8

 

TOPIC 1 NUMBER PATTERNS

 

You should	I can
Be able to recognise number patterns and extend them
Be able to find multiples of a number
Be able to list the factors of a number
Be able to find the highest common factor of two numbers
Know and be able to find the prime numbers up to 100
Be able to find the prime factors of a number
Be able to express a number as a product of primes
Be able to use function machines
Know and understand square and cube numbers
Know and be able to extend the triangular number pattern

 

TOPIC 2

ARITHMETIC AND THE CALCULATOR

 

You should	I can
Know the times tables up to 12×12
Be able to round numbers to the nearest 10/100/1000etc
Be able to use mental Maths to work out answers in my head
Be able to estimate the answers to problems and can use this to check calculations
Be able to prioritise operations (BODMAS)
Be able to write powers using index notation
Be able to calculate powers written in index notation
Be able to use the bracket x² and memory keys on my calculator
Be able to use a calculator to find the answer to a problem

 

TOPIC 3

ALGEBRA 1

 

You should	I can
Be able to write one and two step formulae that represent real life problems
Be able to use these formulae to solve the problem by substituting values into them
Know the rules of algebra that are understood in any language
Be able to collect like terms to simplify
Be able to substitute numbers into formulae
Be able to use algebra to solve problems
Be able to generate a sequence using words or symbolic form

 

TOPIC 4

ANGLES

 

You should	I can
Know 1° is a unit used to measure angles
Know that the total angle about a point is equal to 360°
Know the properties of acute, obtuse and reflex angles and special angles
Be able to use a protractor to measure angles up to 360°
Be able to use a protractor to draw angles up to 360°

 

TOPIC 5

STATISTICS

 

You should	I can
Understand the importance of statistics and ways in which they are used in every day life
Be able to answer questions using information from a bar chart, pictogram or pie chart
Be able to collect information on a tally chart
Be able to use tallies to create a frequency table including grouped frequency
Be able to display information from these frequency tables, including grouped frequency, on a bar chart
Be able to display information on a pictogram
Be able to display information on a pie chart when the total frequency is a factor of 360°
Be able to plan and conduct a survey by collecting, displaying and interpreting data to find out information

 

TOPIC 6

FRACTIONS

 

You should	I can
Understand an use key language associated with fractions
Recognise the importance of fractions in every day life
Be able to write one number as a fraction of another
Be able to find a fraction of a quantity
Understand that fractions can be larger than 1
Be able to change improper fractions into mixed numbers
Be able to change mixed numbers into improper fractions
Be able to find equivalent fractions
Be able to simplify fractions
Be able to add and subtract fractions by finding a common denominator
Be able to multiply a number by a fraction
Be able to multiply a fraction by a fraction
Understand the meaning of unit fraction
Be able to put fractions in order
Understand the effect of  multiplying and dividing by a fraction greater than or less than 1

 

TOPIC 7

ALGEBRA 2

 

You should	I can
Be able to perform inverse operations
Be able to solve equations using inverse function machines
Be able to form equations from words
Be able to solve equations with x on one side
Be able to solve equations using algebra
Be able to change the subject of a formula

 

TOPIC 8

DECIMALS(Decimals Percentages and Fractions)

 

 

You should	I can
Know and understand place value for whole numbers
I understand decimals and the place values of numbers that appear after the decimal point.
Be able to write numbers in words and vice versa.
Be able to put decimals in order of size.
Be able to add and subtract decimals.
Be able to multiply and divide a decimal by a whole number
Be able to multiply a decimal by a decimal
Be able to solve problems involving decimals.
Be able to round decimals.
Know that all fractions are either exact or recurring when written as decimals and understand why this is.
Be able to write fractions as decimals and percentages
Be able to write decimals as fractions and percentages
Be able to write percentages as fractions and decimals
Be able to order fractions in ascending or descending order
Be able to use decimals in context

 

TOPIC 9

STATISTICS

 

You should	I can
Be able to find the mean of a list of values and understand what it tells me
Be able to find the median of a list of values and understand what it tells me
Be able to find the mode of a list of values and understand what it tells me
Be able to find the range of a list of values and understand what it tells me

 

 

YEAR 9

 

TOPIC 1

ESTIMATING YOUR MENTAL POWERS

 

You should	I can
Understand powers and roots
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 use the rules of mental maths to work out answers in your head
Be able to round to a given number of significant figures
Be able to estimate solutions to a problem using rounded numbers
Be able to estimate the square root of a number
Be able to appreciate the importance of showing method when using a calculator.

 

TOPIC 2

ALGEBRA

 

You should	I can
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
Be able to solve an equation which has an unknown on both sides of the equal sign
Remember the rules of BODMAS when substituting values into formulae
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
Be able to use a formula to find a particular term
Be able to find the inverse of a formula

 

TOPIC 3

POLYGONS

 

You should	I can
Know and be able to name polygons with 3, 4 5, 6, 8 and 10 sides.
Know that a polygon has the same number of vertices as sides.
Understand that a diagonal joins two vertices of a shape an be able to count the number of diagonals in any polygon
Know the difference between regular and irregular polygons.
Be able to draw and count the lines of symmetry on a regular polygon.
Know that a regular polygon has rotational symmetry and be able to work out the order for each polygon.
Recognise the difference between convex and concave polygons.
Be able to identify particular sides of a shape by using letters.
Be able to use a compass to construct triangles and polygons.
Understand congruence.
Be able to draw tessellations of regular polygons.
Know what is meant by “exterior angle” and “interior angle” in the context of polygons
Know the interior angles of a triangle add up to 180°
Know the interior angles of a quadrilateral add up to 360°
Know that the exterior angles of any polygon add up to 360°
Know that the sum of the exterior and interior angles is 180°

 

TOPIC 4

STATISTICS

 

You should	I can
Be able to use a compass to draw a circle of specific radius and diameter
Be able to draw a pie chart and use it to analyse data when the total frequency is a factor of 360°
Be able to find the mode from a frequency table, pie chart or bar chart
Be able to find the median from a frequency table
Be able to find the mean from a frequency table
Be able to understand how questionnaires and statistical diagrams can mislead
Be able to design a questionnaire

 

TOPIC 5

NEGATIVE NUMBERS

You should	I can
Know that the number line extends below zero to negative numbers
Be able to put a range of directed numbers in ascending/descending order
Be able to use “>” and “<” signs between numbers efficiently
Be able to find the difference between two given temperatures
Understand that position can be shown by drawing two number lines perpendicular to each other and calling the horizontal line the x axis and the vertical line the y axis
Be able to describe positions of points within these quadrants using co-ordinates which describe how far across the horizontal and how far up/down the vertical line the point lies from the origin
Be able to draw x and y axes with negative and positive numbers to produce four quadrants
Be able to plot points in all four quadrants
Be able to read a bank statement
Understand how an overdraft works
Be able to add and subtract directed numbers
Be able to multiply and divide directed numbers
Be able to use your calculator to carry out operations involving directed numbers
Be able to substitute negative values into a given formula

 

TOPIC 6

PERCENTAGES AND FRACTIONS

 

You should	I can
Recall what the word percentage means and that the symbol % represents it
Be able to use equivalent fractions to convert 21/30 to a percentage
Be able to change any fraction (e.g. exam result 57/63) to a percentage
Know that to write one quantity as a percentage of another it should first be written as either a fraction or a decimal
Be able to find simple discounts of 50%, 25% and 10%
Be able to find a 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 and understand what VAT is
Be able to find the VAT on an item with and without a calculator
Know and understand simple and compound interest
Be able to find the simple interest on a bank account
Be able to find the compound interest on a bank account
Understand what the term APR means
Be able to make an informed choice when choosing a savings account

TOPIC 7

AREA

 

You should	I can
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 the area of a rectangle
Be able to draw or identify the base and corresponding perpendicular height of any triangle
Be able to find the area of a triangle
Be able to find the area of a parallelogram
Be able to find the area of a trapezium
Be able to find the area of a kite
Be able to find the area of a rhombus
Know the formulae required for all of the shapes listed above
Be able to find the compound area of any shape
Be able to convert metric units of length and area

 

TOPIC 8

ANGLES AND BEARINGS

 

You should	I can
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 identify corresponding, alternate and interior angles on parallel lines
Be able to use corresponding, alternate and interior angle properties to calculate missing angles
Be able to find missing angles on a parallelogram
Know and understand the properties of a quadrilateral.
Be able to identify parallel lines and know which shapes have these.
Know the eight points of a compass
Be able to measure or calculate a bearing between two points
Be able to write a given scale in ration notation
Be able to calculate a distance using a given scale
Be able to draw an accurate diagram using bearings and scaled distances

 

 

YEAR 10

 

TOPIC 1

PYTHAGORAS’ THEOREM

 

You should	I can
Be able to identify the hypotenuse on a right angle triangle
Know what Pythagoras’ theorem tells you about a right angled triangle
Be able to use Pythagoras’ theorem to find the hypotenuse of a right angle triangle
Be able to use Pythagoras’ theorem to find a shorter side of a right angle triangle
I can use Pythagoras’ Theorem with co-ordinates to find the length of a line

 

TOPIC 2

ALGEBRA 1

 

You should	I can
Be able to substitute values into a wide variety of formulae
Recognise how algebraic formulas can be used in every day life
Be able to write a formula for a real life situation
Be able to write two step formula for real life situations
Be able to find the nth term of a linear sequence (revision)
Be able to find the nth term for simple quadratic sequences e.g. n², 2n², n²+1
Be able to solve equations by trial and improvement
Be able to solve real life problems using trial and improvement

 

TOPIC 3

LINEAR GRAPHS AND SIMULTANEOUS EQUATIONS

 

You should	I can
Be able to draw a linear graph from a table of values
Be able to relate the term linear to previous knowledge of linear equations and sequences
Be able to draw a linear graph by using x values to find corresponding y values to complete a table
Be able to draw a linear graph using the cover up method to complete a table
Be able to name lines parallel to the x and y axes
Be able to draw a line parallel to an axis given its name
Know that the equations of linear graphs take the form y=mx + c
Know that the value of m effects the gradientKnow that the value of c shows where the line crosses the y axis
Recognise that parallel lines have the same gradient (m) as each other
Be able to write down the equations of a straight line given the equation of a line parallel to it and the point where it crosses the y axis
Show that a point lies on a line by substitution
Be able to solve linear simultaneous equations graphically
Be able to solve linear simultaneous equations algebraically

 

TOPIC 4

STATISTICS

 

You should	I can
Be able to draw a scatter graph for two variables
Be able to use positive, negative or no correlation to describe the link between the two variables
Know when/if it is appropriate it is appropriate to draw a line of best fit
Be able to  draw a line of best fit
Be able to use it to predict results
Be able to draw pie charts using the fraction of total method
Be able to use percentages with pie charts
Be able to recognise misleading diagrams

 

TOPIC 5

CIRCLES

 

You should	I can
Know and understand the key vocabulary used for circles
Be able to locate the “pi” key on my calculator
Be able to find the circumference of a circle given the diameter/radius
Be able to find the diameter/radius of a circle given the circumference
Be able to find the area of a circle given the diameter/radius
Be able to find the radius/diameter of a circle given the area
Be able to find the area/perimeter of compound shapes which involve circles
Know that a cylinder is a prism
Be able to find the volume of a cylinder

 

TOPIC 6

VOLUME

 

You should	I can
Understand what volume is
Be able to put containers in order of volume
Be able to estimate the volume of containers in cm³, ml, and litres
Be able to find the number of containers in a stack
Be able to find the volume of simple cuboids by counting blocks
Understand what a prism is
Be able to find the volume of a prism
Be able to convert between metric units of volume
Be familiar with the term capacity

 

TOPIC 7

NUMBER AND FINANCIAL CAPABILITY

 

 

You should	I can
Be able to increase and decrease quantities by a given percentage
Be able to find the original quantity with and without a calculator
Know and understand the terms used in bank statements, salaries, bills etc
Be able to use my mathematical knowledge to check or complete bank statements and bills (financial capability)

 

TOPIC 8

RATES OF CHANGE AND PROPORTION

 

You should	I can
Be able to write a ratio in figures
Be able to simplify ratios
Be able to share a quantity in a given ratio (two or more parts)
Be able to use ratio with scales on a map to find distances
Be able to write map scales as ratios
Understand the term “direct proportion”
Be able to change the amounts of quantities which are in a given direct proportion (e.g. for a recipe)
Understand the term “inverse proportion”
Be able to change the amounts of quantities which are in a given inverse proportion (e.g. no. of men to build a wall and the time taken working at the same rate)
Know the relationship between speed, distance and time
Know the units for speed
Be able to use direct proportion to find distance travelled at a fixed speed as time changes and vice versa
Be able to use inverse proportion to find time taken as speed changes over a fixed distance and vice versa
Be able to use formulae to find speed, distance or time
Know the relationship between mass, density and volume
Know the units for density
Be able to use direct proportion to find mass as volume changes and vice versa
Be able to use formulae to find mass, density and volume

 

TOPIC 9

ALGEBRA 2

 

You should	I can
Be able to collect terms in order to simplify algebraic expressions
Be able to multiply algebraic expressions
Be able to square a single term expression
Recognise the importance of order of operations when using algebra (BODMAS)
Be able to multiply out brackets by a number and a letter
Be able to multiply out two brackets and simplify
Be able to square a bracket
Be able to recognise a quadratic expression
Be able to factorise algebraic expressions with a common factor
Be able to solve linear equations involving brackets