## Mathematics – United Kingdom – National Curriculum

• ##### KS2.Y6.N.NPV – Number - number and place value
• Pupils should be taught to:

• KS2.Y6.N.NPV.1 – Read, write, order and compare numbers up to 10,000,000 and determine the value of each digit

• KS2.Y6.N.NPV.2 – Round any whole number to a required degree of accuracy

• KS2.Y6.N.NPV.3 – Use negative numbers in context, and calculate intervals across 0

• KS2.Y6.N.NPV.4 – Solve number and practical problems that involve all of the above

• 2 learning outcomes – click to view

Samples: Order of Operations. Numbers. Numbers Problem Solving. Number Operations 1 Extension. Number Operations 2 Extension.

• #### Order of Operations

• Activities: 1 course, 0 extra
• #### Numbers

• Activities: 1 course, 5 extra
• ##### KS2.Y6.N.ASMD – Number - addition, subtraction, multiplication and division
• Pupils should be taught to:

• KS2.Y6.N.ASMD.1 – Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication

• KS2.Y6.N.ASMD.2 – Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context

• 1 learning outcomes – click to view

Samples: Long division - no remainders. Long division. Long Division. Long Division.

• #### Long division

• Activities: 2 course, 2 extra
• KS2.Y6.N.ASMD.3 – Divide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context

• KS2.Y6.N.ASMD.4 – Perform mental calculations, including with mixed operations and large numbers

• 7 learning outcomes – click to view

Samples: Short multiplication (missing number). Adding large numbers. Subtraction of large numbers.

• #### Short multiplication - missing number (Skill 75)

• Activities: 4 course, 7 extra
• #### Adding large numbers (Skill 76)

• Activities: 4 course, 7 extra
• #### Subtraction of large numbers (Skill 77)

• Activities: 4 course, 7 extra
• #### Mixed operations e.g. 8 x 5 + 9 (Skill 80)

• Activities: 4 course, 7 extra
• #### Mixed operations e.g. 81 x 9 + 42 (Skill 81)

• Activities: 4 course, 7 extra
• #### Order of operations e.g. 47 x 8 + 24 x 6 (Skill 82)

• Activities: 4 course, 7 extra
• #### Long multiplication - missing number (Skill 83)

• Activities: 4 course, 7 extra
• KS2.Y6.N.ASMD.5 – Identify common factors, common multiples and prime numbers

• KS2.Y6.N.ASMD.6 – Use their knowledge of the order of operations to carry out calculations involving the 4 operations

• 3 learning outcomes – click to view

Samples: Order of operations eg 56 + 7 x 3. Order of operations eg 126 - 6 x 7. Order of operations: Activity 1.

• #### Order of operations : Multiply before adding

• Activities: 3 course, 0 extra
• #### Order of operations - Multiply before subtracting

• Activities: 2 course, 0 extra
• #### Order of operations - mixed

• Activities: 4 course, 2 extra
• KS2.Y6.N.ASMD.7 – Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

• 3 learning outcomes – click to view

Samples: Balancing equations Addition of larger numbers. Two step problem solving (addition and subtraction).

• #### Balancing equations - Equivalent number sentences

• Activities: 5 course, 10 extra
• #### Two step problem solving (addition and subtraction)

• Activities: 1 course, 0 extra
• #### Two step problem solving (money)

• Activities: 1 course, 0 extra
• KS2.Y6.N.ASMD.8 – Solve problems involving addition, subtraction, multiplication and division

• 5 learning outcomes – click to view

Samples: Two step problem solving. Two step problem solving. Two step problem solving. Two step problem solving. Long division.

• #### Two step problem solving

• Activities: 1 course, 0 extra
• #### Two step problem solving

• Activities: 1 course, 0 extra
• #### Two step problem solving

• Activities: 1 course, 0 extra
• #### Two step problem solving

• Activities: 1 course, 0 extra
• #### Long division - problem solving

• Activities: 1 course, 5 extra
• KS2.Y6.N.ASMD.9 – Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy

• ##### KS2.Y6.N.F – Number - Fractions (including decimals and percentages)
• Pupils should be taught to:

• KS2.Y6.N.F.1 – Use common factors to simplify fractions; use common multiples to

• 2 learning outcomes – click to view

Samples: Simplifying answers to their lowest form. Converting improper fractions to mixed fractions.

• #### Simplifying answers to their lowest form

• Activities: 1 course, 0 extra
• #### Converting improper fractions to mixed fractions

• Activities: 1 course, 0 extra
• KS2.Y6.N.F.2 – Express fractions in the same denomination

• KS2.Y6.N.F.3 – Compare and order fractions, including fractions >1

• 4 learning outcomes – click to view

Samples: Comparing fractions to a half. Comparing fractions - identify the smallest.

• #### Comparing fractions to a half

• Activities: 1 course, 0 extra
• #### Comparing fractions - identify the smallest

• Activities: 1 course, 0 extra
• #### Comparing fractions - identify the largest

• Activities: 1 course, 0 extra
• #### Comparing fractions (< = >)

• Activities: 1 course, 0 extra
• KS2.Y6.N.F.4 – Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions

• 4 learning outcomes – click to view

• #### Adding fractions (with clues)

• Activities: 1 course, 0 extra

• Activities: 1 course, 0 extra
• #### Subtracting fractions

• Activities: 1 course, 0 extra

• Activities: 1 course, 0 extra
• KS2.Y6.N.F.5 – Multiply simple pairs of proper fractions, writing the answer in its simplest form [for example, ¼ × ½ = ⅛ ]

• 1 learning outcomes – click to view

Samples: Multiplying fractions. Fractions Problem Solving. Fractions Problem Solving.

• #### Multiplying fractions

• Activities: 1 course, 3 extra
• KS2.Y6.N.F.6 – Divide proper fractions by whole numbers [for example, ⅓ ÷ 2 = ⅙ ]

• 6 learning outcomes – click to view

Samples: Multiplying fractions by a whole number - visual. Division - Answers as fractions.

• #### Multiplying fractions by a whole number - visual

• Activities: 1 course, 0 extra
• #### Division- Answers as fractions

• Activities: 1 course, 0 extra
• #### Division - Answers as fractions (problem solving)

• Activities: 1 course, 0 extra
• #### Solving improper fractions (by division)

• Activities: 1 course, 0 extra
• #### Divide whole numbers by fractions (problem solving)

• Activities: 1 course, 0 extra
• #### Multiplying and Dividing Fractions

• Activities: 1 course, 0 extra
• KS2.Y6.N.F.7 – Associate a fraction with division and calculate decimal fraction

• KS2.Y6.N.F.8 – Equivalents [for example, 0.375] for a simple fraction [for example, ⅜ ]

• KS2.Y6.N.F.9 – Identify the value of each digit in numbers given to 3 decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up to 3 decimal places

• 4 learning outcomes – click to view

Samples: Place value (thousandths). Dividing a whole number by 10. Multiplying Decimals By 10. Multiplying decimals by 1000.

• #### Place value (thousandths)

• Activities: 1 course, 0 extra
• #### Dividing whole numbers by 10 (problem solving)

• Activities: 3 course, 0 extra
• #### Multiplying decimals by 10

• Activities: 2 course, 4 extra
• #### Multiplying decimals by 1000

• Activities: 1 course, 0 extra
• KS2.Y6.N.F.10 – Multiply one-digit numbers with up to 2 decimal places by whole numbers

• 1 learning outcomes – click to view

Samples: Multiplying Decimals By A Single Digit Number. Multiplying decimals by a whole number.

• #### Multiplying decimals by a whole number

• Activities: 2 course, 6 extra
• KS2.Y6.N.F.11 – Use written division methods in cases where the answer has up to 2 decimal places

• KS2.Y6.N.F.12 – Solve problems which require answers to be rounded to specified degrees of accuracy

• 2 learning outcomes – click to view

Samples: Rounding decimals to whole numbers. Division (estimation) - 1. Division (estimation) - 2.

• #### Rounding decimals to whole numbers

• Activities: 1 course, 0 extra
• #### Division (estimation)

• Activities: 2 course, 0 extra
• KS2.Y6.N.F.13 – Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts

• 5 learning outcomes – click to view

Samples: Increasing by a Percentage. Simple Interest. Decreasing by a Percentage. Percentages as Decimals.

• #### Increasing by a Percentage

• Activities: 1 course, 0 extra
• #### Simple Interest

• Activities: 0 course, 1 extra
• #### Decreasing by a Percentage

• Activities: 0 course, 1 extra
• #### Percentages as Decimals

• Activities: 1 course, 0 extra
• #### Changing mixed fractions to decimals

• Activities: 0 course, 1 extra
• ##### KS2.Y6.RP – Ratio and proportion
• Pupils should be taught to:

• KS2.Y6.RP.1 – Solve problems involving the relative sizes of 2 quantities where missing values can be found by using integer multiplication and division facts

• 2 learning outcomes – click to view

Samples: Simplifying Ratios. Calculating Equivalent Ratios.

• #### Simplifying Ratios

• Activities: 1 course, 0 extra
• #### Calculating Equivalent Ratios

• Activities: 1 course, 0 extra
• KS2.Y6.RP.2 – Solve problems involving the calculation of percentages [for example, of measures and such as 15% of 360] and the use of percentages for comparison

• 2 learning outcomes – click to view

Samples: Simple Quantities (fractions of whole numbers). Simple fractions of quantities (problem solving).

• #### Simple fractions of quantities

• Activities: 4 course, 2 extra
• #### Simple fractions of quantities (problem solving)

• Activities: 2 course, 2 extra
• KS2.Y6.RP.3 – Solve problems involving similar shapes where the scale factor is known or can be found

• KS2.Y6.RP.4 – Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples

• 2 learning outcomes – click to view

Samples: Simplifying Ratios Involving Units. Problem Solving - Unitary Method.

• #### Simplifying Ratios involving Units

• Activities: 1 course, 0 extra
• #### Problem Solving - Unitary Method

• Activities: 1 course, 0 extra
• ##### KS2.Y6.A – Algebra
• Pupils should be taught to:

• KS2.Y6.A.1 – Use simple formulae

• 2 learning outcomes – click to view

Samples: Equivalent number sentences (written form). Identifying expressions. Identifying Expressions.

• #### Solve equivalent number sentences presented in written form

• Activities: 1 course, 0 extra
• #### Identifying expressions

• Activities: 1 course, 2 extra
• KS2.Y6.A.2 – Generate and describe linear number sequences

• 2 learning outcomes – click to view

Samples: Continue number patterns (multiplication). Rules defining number patterns.

• #### Describe and continue number patterns resulting from multiplication

• Activities: 1 course, 0 extra
• #### Rules defining number patterns

• Activities: 1 course, 0 extra
• KS2.Y6.A.3 – Express missing number problems algebraically

• 2 learning outcomes – click to view

Samples: Applying rules to number tables. Continuing number sequences including fractions and decimals.

• #### Applying rules to number tables

• Activities: 1 course, 0 extra
• #### Continuing number sequences

• Activities: 1 course, 7 extra
• KS2.Y6.A.4 – Find pairs of numbers that satisfy an equation with 2 unknowns

• 2 learning outcomes – click to view

Samples: Substituting numbers for letters. Subtraction of Like Terms. Input - Output. Input - Output. Number Pattern Tables.

• #### Introducing variables

• Activities: 5 course, 0 extra
• #### Subtraction of Like Terms

• Activities: 0 course, 1 extra
• KS2.Y6.A.5 – Enumerate possibilities of combinations of 2 variables

• 2 learning outcomes – click to view

Samples: Represent problems using algebraic equation. Substituting Numerals. Equations Involving Addition.

• #### Represent problems using algebraic equation

• Activities: 1 course, 0 extra
• #### Substituting Numerals

• Activities: 1 course, 4 extra
• ##### KS2.Y6.M – Measurement
• Pupils should be taught to:

• KS2.Y6.M.1 – Solve problems involving the calculation and conversion of units of measure, using decimal notation up to 3 decimal places where appropriate

• KS2.Y6.M.2 – 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

• KS2.Y6.M.3 – Convert between miles and kilometres

• KS2.Y6.M.4 – Recognise that shapes with the same areas can have different perimeters and vice versa

• KS2.Y6.M.5 – Recognise when it is possible to use formulae for area and volume of shapes

• 3 learning outcomes – click to view

Samples: Cubic Cm Rectangular Prism. Volume Extension. Circumference of a Circle. Volume Rectangular Prism. Volume Extension.

• #### Volume of rectangular prisms

• Activities: 3 course, 6 extra
• #### Volume

• Activities: 0 course, 2 extra
• #### Circumference of a Circle

• Activities: 1 course, 0 extra
• KS2.Y6.M.6 – Calculate the area of parallelograms and triangles

• 2 learning outcomes – click to view

Samples: Area of Triangles. Area of Parallelograms.

• #### Area of Triangles

• Activities: 0 course, 1 extra
• #### Area of a Parallelogram

• Activities: 1 course, 0 extra
• KS2.Y6.M.7 – Calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm³) and cubic metres (m³), and extending to other units [for example, mm³ and km³]

• ##### KS2.Y6.G.PS – Geometry - properties of shapes
• Pupils should be taught to:

• KS2.Y6.G.PS.1 – Draw 2-D shapes using given dimensions and angles

• KS2.Y6.G.PS.2 – Recognise, describe and build simple 3-D shapes, including making nets

• 1 learning outcomes – click to view

Samples: Matching - three-dimensional objects with their nets. Identifying the nets of three-dimensional shapes.

• #### Nets of three dimensional objects

• Activities: 4 course, 4 extra
• KS2.Y6.G.PS.3 – Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons

• 4 learning outcomes – click to view

Samples: Naming prisms and pyramids. Angle sum - triangles. Angle sum - quadrilaterals. Angles of Polygons.

• #### Identifying properties and naming prisms and pyramids

• Activities: 2 course, 11 extra
• #### Angle sum - triangles

• Activities: 1 course, 1 extra
• #### Angle sum - quadrilaterals

• Activities: 1 course, 1 extra
• #### Angles of Polygons

• Activities: 0 course, 1 extra
• KS2.Y6.G.PS.4 – Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius

• 2 learning outcomes – click to view

Samples: Angles within a circle. Parts of a circle. Learn the parts of a circle. Parts of a circle.

• #### Angles within a circle

• Activities: 1 course, 0 extra
• #### Parts of a Circle

• Activities: 4 course, 0 extra
• KS2.Y6.G.PS.5 – Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles

• 3 learning outcomes – click to view

Samples: Angles on a straight line. Challenge puzzle - angles. Exterior Angles. Angles on a Straight Line.

• #### Angles on a straight line

• Activities: 2 course, 4 extra
• #### Challenge puzzle - angles

• Activities: 1 course, 0 extra
• #### Exterior Angles

• Activities: 0 course, 1 extra
• ##### KS2.Y6.G.PD – Geometry - position and direction
• Pupils should be taught to:

• KS2.Y6.G.PD.1 – Describe positions on the full coordinate grid (all 4 quadrants)

• 1 learning outcomes – click to view

Samples: Cartesian Plane - Identify location. Cartesian coordinate system: Activity 1.

• #### Cartesian Plane - Identify location

• Activities: 1 course, 5 extra
• KS2.Y6.G.PD.2 – Draw and translate simple shapes on the coordinate plane, and reflect them in the axes

• ##### KS2.Y6.G.S – Statistics
• Pupils should be taught to:

• KS2.Y6.G.S.1 – Interpret and construct pie charts and line graphs and use these to solve problems

• 3 learning outcomes – click to view

Samples: Interpreting column graphs - 6. Line graphs. Interpret a pie graph. Data Problem Solving.

• #### Interpret and compare data presented using a column graph

• Activities: 1 course, 3 extra
• #### Interpret line graphs

• Activities: 1 course, 0 extra
• #### Interpret data presented using a pie graph

• Activities: 1 course, 9 extra
• KS2.Y6.G.S.2 – Calculate and interpret the mean as an average

• 3 learning outcomes – click to view

Samples: Median, Range and Mean. Chance and Probability (as fractions). Chance from 0 to 1. Chance Fraction.

• #### Calculate mean, median, mode and range.

• Activities: 1 course, 0 extra
• #### Chance and Probability (as fractions)

• Activities: 2 course, 4 extra
• #### Recognise that probabilities range from 0 to 1.

• Activities: 1 course, 0 extra