Download Year 5/6 Medium Term Plans – C. Land

Year 5/6 Medium Term Plans – C. Land - Spring Term 1 – 2015/16
FLUENCY: become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils
have conceptual understanding and are able to recall and apply their knowledge rapidly and accurately to problems
REASONING: reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using
mathematical language
PROBLEM-SOLVING: can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking
down problems into a series of simpler steps and persevering in seeking solutions
Continuous/ revisited objectives: (Objectives used primarily as starters in order to maintain fluency
Continuous/revisited objectives: (Objectives used primarily as starters in order to
of skills)
maintain fluency of mathematical skills)
Count forwards or backwards in a variety of steps up to 1 000 000 (including negative numbers).
Solve number and practical problems
Read, write, order and compare numbers with up to three decimal places.
Perform mental calculations, including with mixed operations and large numbers.
Add and subtract numbers mentally with increasingly large numbers.
Solve addition and subtraction multi-step problems in contexts, deciding which
Multiply and divide numbers mentally drawing upon known facts.
operations and methods to use and why
Identify multiples & factors; find factor pairs of a number.
Solve problems involving addition, subtraction, multiplication and division.
Multiply and divide whole numbers and decimals by 10, 100 & 1000.
Identify, name & write equivalent fractions of a given fraction.
Know & use appropriate mathematical vocabulary.
Fluency
Reasoning
Problem Solving
Year 5
Fractions, Decimals and Percentages (1 week approx.)
Identify, name & write equivalent fractions of a given fraction.

Add & subtract fractions with the same denominator & denominators that are
multiples of the same number.

Solve problems involving increasingly harder fractions, and fractions to divide
quantities including none unit fractions where the answer is a whole number
(Y4).
Multiplication & Division (1 week approx.)
Multiply and divide numbers mentally drawing upon known facts.

Identify multiples & factors; find all factor pairs of a number & common factors of
2 numbers.

Know & use the vocabulary of prime numbers, prime factors & composite nonprime numbers.

Establish whether a number up to 100 is prime; recall primes up to 19.

Recognise and use square numbers & cube numbers and notation for squared
2
3
, cubed
Solve problems involving multiplication and division including using their knowledge of
factors and multiples, squares and cubes
Year 6
Fractions, Decimals and Percentages (approx. 1 week)
Identify, name & write equivalent fractions of a given fraction, represented visually, inc.
1
1
/10 & /100
Add & subtract fractions with the same denominator & denominators that are multiples
of the same number.

Use common factors to simplify fractions; use common multiples to express
fractions in the same denomination.

Compare & order fractions including fractions >1
Ratio and Proportion

Solve problems involving the calculation of percentages ( for example, of
measures, and such as 15% of 360 ) and the use of percentages for
comparison

Solve problems involving unequal sharing and grouping using knowledge of
fractions and multiples.
Multiplication & Division (1 week approx.)
Multiply and divide numbers mentally drawing upon known facts.

Identify multiples & factors; find all factor pairs of a number & common factors of
2 numbers.

Know & use the vocabulary of prime numbers, prime factors & composite nonprime numbers.

Establish whether a number up to 100 is prime; recall primes up to 19.
2

Recognise and use square numbers & cube numbers and notation for squared ,
3
cubed
Solve problems involving multiplication and division including using their knowledge of factors
and multiples, squares and cubes
Measurement (2 weeks approx.)
Multiply and divide whole numbers and decimals by 10, 100 & 1000.

Measure and calculate the perimeter of composite rectilinear shapes in
centimetres and metres.

Calculate and compare the area of rectangles (including squares) and
2
including using standard units, square centimetres (cm ) & square metres
2
(m ) and estimate the area of irregular shapes
Geometry (2 weeks approx.)
Count forwards or backwards in steps of powers of 10 for any number up to 1 000
000;
Add and subtract numbers mentally with increasingly large numbers ~compliments to
90, 180, 360.

Know angles are measured in degrees: estimate and compare acute, obtuse and
reflex angles.
o

Draw given angles, and measure them in degrees .
o

Identify: angles at a point and one whole turn (total 360 ); angles at a point on a
o
Measurement (approx. 2 weeks)
Complete, read and interpret information in tables, including timetables (Y5)
Solve problems involving converting between units of time. (Y5)
•
Recognise that shapes with the same areas can have different perimeters
and vice versa
•
Calculate the area of parallelograms and triangles.
• Recognise when it is possible to use formulae for area and volume of shapes.
• Solve problems involving the calculation and conversion of units of measure,
using decimal notation up to three decimal places where appropriate
Geometry (approx. 1 week)
Compare and classify geometric shapes based on their properties and sizes and find
unknown angles in any triangles, quadrilaterals, and regular polygons
•
Illustrate and name parts of circles, including radius, diameter and
circumference and know that the diameter is twice the radius.
o
straight line and ½ a turn (total 180 ); other multiples of 90

Use the properties of rectangles to deduce related facts and find missing lengths
and angles.
Calculations (1 week approx,)
Convert between different units of metric measure inc. money (£s & p)

Use all four operations to solve problems involving money using decimal
notation including scaling.

Add, subtract, multiply and divide whole numbers with more than 4 digits, using
the formal methods of columnar + & -, long multiplication for two-digit numbers
and short division, interpret remainders appropriately for the context.
Assess and Review (1 week approx.) – Repetition of objectives as needed
Algebra (approx. 2 weeks)
Multiply one-digit numbers with up to two decimal places by whole numbers
Solve problems involving the relative sizes of two quantities where missing values can
be found by using integer multiplication and division facts
•
Use simple formulae
•
Generate and describe linear number sequences
•
Express missing number problems algebraically
•
Find pairs of numbers that satisfy number sentences with two unknowns
•
Enumerate possibilities of combinations of two variables