Mathematics

Year 6

Module 5

Revision of Mathematical Knowledge and Understanding

This module Year 6 revisited all of their previous learning:

Number - Place Value

Number - Addition, Subtraction, Multiplication and Division

Number - Fractions (including percentages and decimals)

Ratio and Proportion

Algebra

Measurement

Geometry - properties of shapes

Geometry - position and direction

Statistics

Module 4

Position and Direction

We have extended our understanding of the coordinate grid to include all four quadrants. We noticed the x- and y-axes could both be extended through zero into negative numbers; we plotted points in each of the “new” quadrants in turn with different shapes.

We also explored translations in one direction, either left/right or up/down, before moving on to translations in both directions. We could see that the shape looked identical after being translated, but is in a different position on the coordinate grid.

When reflecting points and shapes on a coordinate grid in the x- or y-axis, we needed to Children count how far away each vertex is from the axis and use this to work out the coordinates of each vertex in the reflected shape.

NC -

Describe positions on the full coordinate grid (all four quadrants)
Draw and translate simple shapes on the coordinate plane, and reflect them in the axes
Draw and translate simple shapes on the coordinate plane, and reflect them in the axes

Module 3

NC

use simple formulae
generate and describe linear number sequences
express missing number problems algebraically
find pairs of numbers that satisfy an equation with 2 unknowns
enumerate possibilities of combinations of 2 variables

Algebra

We have learnt how different calculations can use a substitution to form equations.

Module 2

Fractions

We have learnt a range of more in-depth knowledge of fractions, for example:

Use common factors to simplify fractions; use common multiples to express fractions in the same denomination

Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions
Multiply simple pairs of proper fractions, writing the answer in its simplest form [eg × = ]
Divide proper fractions by whole numbers [for example, ÷ 2 = ]

Percentages of Amounts

We have started to explore how to calculate percentages of different amounts and apply this in different contexts.

NC - solve problems involving the calculation of percentages [for example, of measures and such as 15% of 360] and the use of percentages for comparison.

Metric and Imperial measures

We have learnt how to convert different lengths, mass and capacity, for example from metric to imperial; we were able to apply this knowledge to different reasoning problems.

NC -

Use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to 3 decimal places

Convert between miles and kilometres

Module 1

Place Value

This module we have expanded our knowledge to learn: numbers to 1,000,000 , numbers to 10,000,000, read and write numbers to 10,000,000, powers of 10, number line to 10,000,000m, Compare and order any integers, round any integer, negative numbers in different contexts and problem solving.

NC -

Read, write, order and compare numbers up to 10,000,000 and determine the value of each digit
Solve number and practical problems that involve the above

Addition, subtraction, multiplication and division

We have learnt how to: add and subtract integers, common factors, common multiples, rules of divisibility, primes to 100, square and cube numbers, multiply up to a 4-digit number by a 2-digit number, solve problems with multiplication short division, division using factors,. Also, an introduction to long division, long division with remainders, solve problems with division, solve multi-step problems, order of operations, mental calculations and estimation.

NC-

Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
Solve problems involving addition, subtraction, multiplication and division
Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy

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