In Maths, each class is allocated to a grade.
The work for each grade for this half term is
outlined on the following slides.
You need to know which grade you are
learning about to know which section to
look at.
Grade 1
LEARNING AND PROGRESS PLAN
GRADE 1: NUMBER SKILLS
By the end of this topic you should be able to......
Order positive whole numbers.
Know your times tables up to 12 x 12.
Know the division facts that go with the times tables up
to 12 x 12.
Mentally work out what you would need to add to a
number to make 100.
Use written methods to add numbers together.
Use written methods to multiply numbers, up to a 3
digit number by a 2 digit number.
Use a 'table and chairs' to divide by a single digit
number.
Know whether a worded problem is asking you to add,
subtract, multiply or divide.
Think about what a remainder means in a worded
problem.
Notes
LEARNING AND PROGRESS PLAN
GRADE 1: TYPES OF NUMBER
By the end of this topic you should be able to......
Know square numbers up to 15 x 15.
Know square roots up to √225.
Know the meaning of the word 'multiple' and identify
multiples from lists.
Know the meaning of the word 'factor' and identify
factors from lists.
Know what prime numbers are and identify prime
numbers from lists.
Notes
LEARNING AND PROGRESS PLAN
GRADE 1: ALGEBRA SKILLS
By the end of this topic you should be able to......
Know that letters can be used to represent numbers.
Write algebraic expressions that use adding, subtracting,
multiplying and dividing.
Write algebraic expressions that involve squaring and
cubing.
Use number machines, working both forwards and
backwards.
Use number machines to create algebraic expressions.
Create a number machine for a given algebraic
expression.
Substitute numbers into simple expressions.
Notes
Grade 2
LEARNING AND PROGRESS PLAN
GRADE 2: NUMBER SKILLS
By the end of this topic you should be able to......
Know and use the word 'integer'.
Know and use the inequality and equality symbols
(including <, >, ≤, ≥, = and ≠).
Represent an inequality on a number line.
Add negative numbers (signs touching).
Subtract negative numbers (signs touching).
Use a calculator effectively in calculations involving
brackets and division.
Multiply by 10, 100 and 1000, including when the
answers are not integers.
Divide by 10, 100 and 1000, including when the
answers are not integers.
Notes
LEARNING AND PROGRESS PLAN
GRADE 2: TYPES OF NUMBER
By the end of this topic you should be able to......
Know the cubes of 1, 2, 3, 4, 5 and 10.
Know the cube roots 1, 8, 27, 64, 125 and 1000.
Write out the multiples any number.
Find the lowest common multiple of two or more
numbers.
Write out all of the factors of a number.
Find the highest common factor of two or more
numbers.
Recognise in a worded problem when it is necessary
to find the LCM or HCF.
Notes
LEARNING AND PROGRESS PLAN
GRADE 2: ALGEBRA SKILLS
By the end of this topic you should be able to......
Know the difference between a term, an expression,
an equation, an inequality, a formula and an identity.
Write an expression to represent a worded problem.
Substitute values into expressions and formulae
involving brackets and powers.
Simplify an algebraic expression by collecting like
terms.
Notes
LEARNING AND PROGRESS PLAN
GRADE 2: PROBABILITY 1
By the end of this topic you should be able to......
Understand when outcomes can or cannot happen at
the same time.
Know that all of the probabilities for all of the
outcomes of any event have to add up to 1.
Find the probability of a particular outcome if you
know the probabilities of all of the other outcomes.
Design and use a two-way table to show outcomes
and probabilities.
Complete a two-way table from given information.
Understand that P(A) means the probability of
outcome A.
Understand that P(A') means the probability of an
outcome that is not A.
Notes
Grade 3
LEARNING AND PROGRESS PLAN
GRADE 3: NUMBER SKILLS
By the end of this topic you should be able to......
Use written methods to add and subtract.
Multiply numbers, up to a 3 digit number by a 2 digit
number.
Use a 'table and chairs' to divide by a single digit
number.
Multiply and divide all numbers by 10, 100 and 1000.
Add negative numbers (signs touching).
Subtract negative numbers (signs touching).
Multiply negative numbers.
Divide negative numbers.
Use BIDMAS.
Use a calculator effectively, including questions
involving division, brackets, powers and roots.
Notes
LEARNING AND PROGRESS PLAN
GRADE 3: TYPES OF NUMBER
By the end of this topic you should be able to......
Calculate and recognise powers of 2, 3, 4, 5 and 10.
Work out other square and cube numbers, using
written methods (such as long multiplication) if
necessary.
Know how to use a calculator to work out all powers
and roots.
Notes
LEARNING AND PROGRESS PLAN
GRADE 3: ALGEBRA SKILLS
By the end of this topic you should be able to......
Expand a single bracket.
Expand and simplify expressions involving single
brackets.
Factorise expressions by taking out common factors (a
letter or a number).
Simplify two different algebraic expressions to show
that they are equivalent.
Notes
LEARNING AND PROGRESS PLAN
GRADE 3: CONSTRUCTIONS & LOCI
By the end of this topic you should be able to......
Use compasses and a ruler to construct a
perpendicular bisector of a line.
Use compasses and a ruler to construct an angle
bisector.
Use compasses and a ruler to construct a 60° angle.
Understand the meaning of the word 'locus' and be
able to determine a locus both with and without ICT.
Recognise when it is necessary to construct a region to
solve a problem, for example, bounded by a circle and
a straight line.
Recognise when it is necessary to construct a region to
solve a problem, for example, given a fixed distance
from a point and a fixed distance from a given line.
Recognise when it is necessary to construct a region to
solve a problem, for example, given equal distances
from two points.
Notes
Grade 4
LEARNING AND PROGRESS PLAN
GRADE 4: NUMBER SKILLS
By the end of this topic you should be able to......
Confidently multiply any three digit number by a two
digit number.
Divide any number by a single digit, using a 'table and
chairs'.
Recognise when it is necessary to add, subtract,
multiply and divide in worded problems.
Confidently add, subtract, multiply and divide negative
numbers.
Confidently multiply and divide by 10, 100 and 1000.
Confidently use BIDMAS.
Use a calculator effectively for calculations involving
powers, roots, division and brackets.
Notes
LEARNING AND PROGRESS PLAN
GRADE 4: TYPES OF NUMBER
By the end of this topic you should be able to......
Work out calculations involving powers (numerical and
algebraic).
Use index laws to multiply powers of integers
(numerical and algebraic).
Use index laws to divide powers of integers (numerical
and algebraic).
Write a number as a product of its prime factors,
giving your answer in index form.
Notes
LEARNING AND PROGRESS PLAN
GRADE 4: SEQUENCES
By the end of this topic you should be able to......
Solve simple problems involving linear sequences.
Find the nth term for a linear sequence.
Work with Fibonacci-type sequences when you are
told the rule.
Recognise a quadratic sequence.
Continue a quadratic sequence.
Find the terms of a quadratic sequence, given the nth
term.
Notes
LEARNING AND PROGRESS PLAN
GRADE 4: TRANSFORMATIONS
By the end of this topic you should be able to......
Confidently transform shapes using rotations,
reflections, translations or enlargements.
Identify whether shapes are congruent or similar after
different transformations.
Notes
Grade 5
LEARNING AND PROGRESS PLAN
GRADE 5: NUMBER SKILLS
By the end of this topic you should be able to......
Know what is meant by 'standard form'.
Write an ordinary number in standard form.
Write a number given in standard form as an ordinary
number.
Order numbers written in standard form.
Multiply numbers written in standard form without a
calculator.
Divide numbers written in standard form without a
calculator.
Add and subtract numbers written in standard form
without a calculator.
Use a calculator to add, subtract, multiply and divide
numbers written in standard form.
Solve simple equations when the numbers are written
in standard form.
Notes
LEARNING AND PROGRESS PLAN
GRADE 5: TYPES OF NUMBER
By the end of this topic you should be able to......
Write a number as a product of its prime factors,
giving your answer in index form.
Find the root of a number by writing it as a product of
its prime factors.
Use a Venn Diagram to find the LCM and HCF of two
numbers.
Notes
LEARNING AND PROGRESS PLAN
GRADE 5: ALGEBRA SKILLS
By the end of this topic you should be able to......
Factorise quadratic expressions using the sum and
product method (when the coefficient of x2 is 1).
Factorise quadratic expressions written as the
difference of two squares (x2 - a2)
Simplify algebraic fractions by cancelling common
factors.
Use algebraic expressions to support an argument or
verify a statement.
Notes
LEARNING AND PROGRESS PLAN
GRADE 5: MEASURES
By the end of this topic you should be able to......
Use the formula for density to calculate density.
Use the formula for density to calculate mass.
Use the formula for density to calculate volume.
Use the formula for pressure to calculate pressure.
Use the formula for pressure to calculate force.
Use the formula for pressure to calculate area.
Notes
Grade 6/7
LEARNING AND PROGRESS PLAN
GRADE 6: ALGEBRA SKILLS
By the end of this topic you should be able to......
Factorise quadratic expressions written as a difference
of two squares (including ax2 - by2)
Factorise quadratic expressions with a number in front
of x2 using a sum and product method.
Understand what f(x) means when working with
functions.
Substitute values into functions, for example, know
that f(2) means substitute 2 into the function.
Write down a simple algebraic proof.
Notes
LEARNING AND PROGRESS PLAN
GRADE 6: EQUATIONS
By the end of this topic you should be able to......
Solve quadratic equations, including equations where
the number in front of x2 is greater than 1.
Recognise when quadratic equations need to be
rearranged before they can be solved.
Use a systematic method to find approximate
solutions to equations where there is no simple
algebraic method.
Notes
LEARNING AND PROGRESS PLAN
GRADE 6: ROUNDING & APPROXIMATION
By the end of this topic you should be able to......
Identify between which two integers the square root
of any positive number lies.
Identify between which two integers the cube of a
positive number lies.
Estimate the value a power of any positive number.
Estimate the value of the square root of any positive
number.
Write down the maximum or minimum figure for a
value rounded to a given level of accuracy.
Know how to give your answers to an appropriate
degree of accuracy.
Notes
LEARNING AND PROGRESS PLAN
GRADE 6: PERCENTAGES
By the end of this topic you should be able to......
Confidently use repeated proportional change to solve
growth and decay problems.
Understand that some proportional change problems
have limiting values (e.g. population growth).
Notes
LEARNING AND PROGRESS PLAN
GRADE 6: COORDINATES & GRAPHS
By the end of this topic you should be able to......
Draw exponential graphs of the form y = kx for all
positive values of k.
Interpret an exponential graph, for example, find a
value of y given a value of x, and vice-versa.
Understand the main features of an exponential
graph.
Calculate the area under a graph that is formed from
straight lines by splitting it into rectangles, triangles
and trapeziums.
Notes