**Year 4 Maths Objectives**

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**Using and applying mathematics**

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Solve one-step and two-step problems involving numbers, money or measures, including time; choose and carry out appropriate calculations, using calculator methods where appropriate.

Represent a puzzle or problem using number sentences, statements or diagrams; use these to solve the problem; present and interpret the solution in the context of the problem.

Suggest a line of enquiry and the strategy needed to follow it; collect, organise and interpret selected information to find answers.

Identify and use patterns, relationships and properties of numbers or shapes; investigate a statement involving numbers and test it with examples.

Report solutions to puzzles and problems, giving explanations and reasoning orally and in writing, using diagrams and symbols.

**Counting and understanding number**

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Partition, round and order four-digit whole numbers; use positive and negative numbers in context and position them on a number line; state inequalities using the symbols < and > (e.g. -3 > -5, -1 < plus1)

Use decimal notation for tenths and hundredths and partition decimals; relate the notation to money and measurement; position one-place and two-place decimals on a number line.

Recognise the equivalence between decimal and fraction forms of one half, quarters, tenths and hundredths.

Use diagrams to identify equivalent fractions (e.g. and , or and ); interpret mixed numbers and position them on a number line (e.g. 3 ) (EOY)

Use the vocabulary of ratio and proportion to describe the relationship between two quantities (e.g. ‘There are 2 red beads to every 3 blue beads, or 2 beads in every 5 beads are red’); estimate a proportion (e.g. ‘About one quarter of the apples in the box are green’)

**Knowing and using number facts**

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Use knowledge of addition and subtraction facts and place value to derive sums and differences of pairs of multiples of 10, 100 or 1000

Identify the doubles of two-digit numbers; use these to calculate doubles of multiples of 10 and 100 and derive the corresponding halves.

Derive and recall multiplication facts up to 10 × 10, the corresponding division facts and multiples of numbers to 10 up to the tenth multiple.

Use knowledge of rounding, number operations and inverses to estimate and check calculations.

Identify pairs of fractions that total 1

**Calculating**

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Add or subtract mentally pairs of two-digit whole numbers (e.g. 47 + 58, 91 – 35)

Refine and use efficient written methods to add and subtract two-digit and three-digit whole numbers and £.p

Multiply and divide numbers to 1000 by 10 and then 100 (whole-number answers), understanding the effect; relate to scaling up or down.

Develop and use written methods to record, support and explain multiplication and division of two-digit numbers by a one-digit number, including division with remainders (e.g. 15 × 9, 98 ÷ 6)

Find fractions of numbers, quantities or shapes (e.g. of 30 plums, of a 6 by 4 rectangle)

Use a calculator to carry out one-step and two-step calculations involving all four operations; recognise negative numbers in the display, correct mistaken entries and interpret the display correctly in the context of money.

**Understanding shape**

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Draw polygons and classify them by identifying their properties, including their line symmetry.

Visualise 3-D objects from 2-D drawings; make nets of common solids.

Recognise horizontal and vertical lines; use the eight compass points to describe direction; describe and identify the position of a square on a grid of squares.

Know that angles are measured in degrees and that one whole turn is 360°; compare and order angles less than 180°

**Measuring**

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Choose and use standard metric units and their abbreviations when estimating, measuring and recording length, weight and capacity; know the meaning of ‘kilo’, ‘centi’ and ‘milli’ and, where appropriate, use decimal notation to record measurements (e.g. 1.3 m or 0.6 kg)

Interpret intervals and divisions on partially numbered scales and record readings accurately, where appropriate to the nearest tenth of a unit

Draw rectangles and measure and calculate their perimeters; find the area of rectilinear shapes drawn on a square grid by counting squares.

Read time to the nearest minute; use am, pm and 12-hour clock notation; choose units of time to measure time intervals; calculate time intervals from clocks and timetables.

**Handling data**

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Answer a question by identifying what data to collect; organise, present, analyse and interpret the data in tables, diagrams, tally charts, pictograms and bar charts, using ICT where appropriate.

Compare the impact of representations where scales have intervals of differing step size