Maths

Integers & Decimals

Multiplication and division

Calculation problems

Fractions

Missing angles and lengths

Coordinates and shape

Decimals and measures

Percentages and statistics

Proportion problems

Extending calculation strategies and additive reasoning

In this unit pupils will identify structures within stories. They will use their knowledge of structures to create stories and use their knowledge of additive structures to solve problems. In the future it pupils will use the concept of 'same sum' to simplify and solve addition problems.

In the prior unit pupils used the most efficient and reliable strategy to find the change. In this unit pupils will  identify structures within stories and use their knowledge of structures to create stories and use their knowledge of additive structures to solve problems.

Use knowledge of part-part-whole structure to solve additive problems

In this unit pupils used the concept of same sum to simplify and solve addition problems. In the future unit pupils will solve calculations with missing addends and use the same difference rule to balance equations. They will explain how increasing or decreasing the minuend affects the difference.

In the prior unit pupils identified structures within stories using their knowledge of structures to create stories. They used their knowledge of additive structures to solve problems. In this unit pupils used the concept of same sum to simplify and solve addition problems

Use equivalence and compensation to simplify and solve addition calculations

In this unit pupils will explain how increasing or decreasing the minuend affects the difference and solve subtraction calculations mentally using known facts explaining how adjusting the minuend can make mental calculation easier In the future unit pupils will explain how to balance equations with addition or subtraction expressions and use their knowledge of balancing equations to solve problems

In the prior unit pupils used the concept of same sum to simplify and solve addition problems  In this unit pupils will explain how increasing or decreasing the minuend affects the difference and solve subtraction calculations mentally by using known facts explaining how adjusting the minuend can make mental calculation easier

Use equivalence and compensation to simplify and solve subtraction problems

In this unit pupils will explain how one hundred thousand can be composed and read and write numbers up to one million. In the future unit pupils will identify and place the position of 6-digit multiple of one thousand numbers, on a marked, but unlabelled number line. They will read scales, in graphing and measures contexts, by using their knowledge of the composition of 10000 and 100000. 

In the prior unit pupils applied memorised unit conversions to convert between units of measure. They solved problems involving converting between units of time and money. In this unit pupils will explain how one hundred thousand can be composed and read and write numbers up to one million. 

Multiples of 1,000

 In this unit pupils will identify and place the position of 6-digit multiple of one thousand numbers on a marked, but unlabelled, number line. They will read scales by using their knowledge of the composition of 10000 and 100000. In the future unit pupils will use representations to identify and explain patterns in powers of 10 and read numbers with up to 7 digits efficiently.

In the prior unit pupils explained how one hundred thousand can be composed and read and wrote numbers up to one million. In this unit pupils will identify and place the position of 6-digit multiple of one thousand numbers, on a marked, but unlabelled number line They will read scales in graphing and measures contexts by using their knowledge of the composition of 10000 and 100000. 

Understand place value within numbers with up to 7 digits

In this unit pupils will estimate the value and position of numbers, including negative numbers, on unmarked or partially marked number lines and calculate intervals across 0. In the future unit pupils will use their knowledge of the composition of seven-digit numbers to solve problems, adding and subtracting numbers whilst crossing the millions boundary.

 In the prior unit pupils identified and placed the position of 6-digit multiple of one thousand numbers on a marked, but unlabelled, number line. They read scales by using their knowledge of the composition of 10000 and 100000. In this unit pupils will use representations to identify and explain patterns in powers of 10 and read numbers with up to 7 digits efficiently.

Order, compare and calculate with numbers up to 8 digits

In this unit pupils will use their knowledge of the composition of 7-digit numbers to solve problems adding and subtracting numbers whilst crossing the millions boundary They will round  7-digit numbers to the nearest million and nearest hundred thousand and solve addition and subtraction problems. In the future unit pupils round to any number of decimal places and learn about significant figures.

In the prior unit pupils estimated the value and position of numbers, including negative numbers, on unmarked or partially marked number lines and calculated intervals across 0. In this unit pupils will use their knowledge of the composition of seven-digit numbers to solve problems, adding and subtracting numbers whilst crossing the millions boundary.

Rounding and solving problems with numbers up to 7 digits

In this unit pupils will use knowledge of shape properties to draw, sketch and identify shapes  In the future unit pupils will explain how to calculate the area of a parallelogram and a triangle and describe the relationship between scale factors and side lengths of two shapesThey will describe positions in all four quadrants drawing and translating simple shapes and reflecting them in the axes

In the prior unit pupils compared the size of angles with a clear visual difference and use the terms acute obtuse and reflex when describing the size of angles or amount of rotation with relation to right angles using a unit called degrees In this unit pupils will use knowledge of shape properties to draw, sketch and identify shapes

Draw, compose and decompose shapes

 In this unit pupils will explain why the product stays the same when one factor is doubled and the other is halved using knowledge of equivalence. They will explain the effect on the quotient when scaling the dividend and divisor by the same amount. In the future unit pupils will describe the relationship between two factors and use a ratio grid to calculate unknown values. 

 In the prior unit pupils explained how to identify a multiple or common multiple to solve problems in a range of contexts. In this unit pupils will explain why the product stays the same when one factor is doubled and the other is halved using knowledge of equivalence. They will explain the effect on the quotient when scaling the dividend and divisor by the same amount.

Using equivalence to calculate

In this unit pupils will learn to multiply a 3-digit by a 2-digit number They will use accurately short and long division and use a ratio chart to solve short and long division. In the future unit pupils will add, subtract, divide and multiply with integers, decimals, positive and negative values.

In the prior unit pupils will multiply a 3-digit number by a single-digit number using expanded and short multiplication. In this unit pupils will learn why the product stays the same when one factor is doubled and the other is halved and explain the effect on the product when scaling the factors by the same amount. 

Multiplying and dividing by 2-digit numbers

In this unit pupils will explain how to calculate the area of a parallelogram and a triangle describing the relationship between scale factors and side lengths. They will describe positions in all four quadrants drawing and translating simple shapes and reflecting them in the axes In the future unit pupils extend their knowledge of plotting coordinates by now plotting non-integer values.

In the prior unit pupils used knowledge of shape properties to draw, sketch and identify shapes. In this unit pupils will explain how to calculate the area of a parallelogram and a triangle. They will describe the relationship between scale factors and side lengths of two shapes. They will describe positions in all 4 quadrants drawing and translating simple shapes and reflecting them in the axes.

Area, perimeter, position and direction

In this unit pupils will explain how to write a fraction in its simplest form when solving addition and subtraction problems and how to add and subtract related fractions. In the future unit pupils will use their fraction sense to fraction addition, subtraction and comparison explaining how to compare pairs of non-related fractions by converting to common denominators and using fraction sense.

In the prior unit pupils used representations to describe and compare two fractions. They explained the relationship within families of equivalent fractions and used their knowledge of common equivalents to compare fractions with decimals. In this unit pupils will explain how to write a fraction in its simplest form when solving addition and subtraction problems. 

Addition and subtraction of fractions

In this unit pupils will use their fraction sense to explain how to compare pairs of non-related fractions either by converting to common denominators or using fraction knowledge and understanding. In the future unit pupils will learn how to multiply 2 unit fractions and 2 non-unit fractions They will learn how to divide a unit fraction and a non-unit fraction by a whole number 

In the prior unit pupils explained how to write a fraction in its simplest form when solving addition and subtraction problems and added and subtracted related fractions.  In this unit pupils will use their fraction sense to explain how to compare pairs of non-related fractions either by converting to common denominators or using fraction knowledge and understanding.

Comparing fractions

In this unit pupils will learn how to multiply 2 unit fractions and 2 non-unit fractions. They will learn how to divide a unit fraction and a non-unit fraction by a whole number. In the future unit pupils will explain what percent means and how to represent a percentage in different ways. They will learn how to convert percentages to decimals and fractions and solve conversion problems.

 In the prior unit pupils used fraction sense to fraction addition, subtraction and comparison, explaining how to compare pairs of non-related fractions by converting to common denominators or using fraction sense. In this unit pupils will learn how to multiply 2 unit fractions and 2 non-unit fractions. They will learn how to divide a unit fraction and a non-unit fraction by a whole number. 

Multiplication and division of fractions

In this unit pupils will explain what percent means and how to represent a percentage in different ways. They will learn how to convert percentages to decimals and fractions and solve conversion problems. In the future unit pupils will interpret and construct pie charts and line graphs. They will read scales  linked to fractions angles percentages and understanding proportional relationships.

In the prior unit pupils learned how to multiply 2 unit fractions and 2 non-unit fractions. They learned how to divide a unit fraction and a non-unit fraction by a whole number. In this unit pupils will explain what percent means and how to represent a percentage in different ways. They will learn how to convert percentages to decimals and fractions and solve conversion problems.

Understanding percentages

In this unit pupils will interpret and construct pie charts and line graphs and use these to solve problems. They will read scales in graphing and measures contexts linking to fractions, angles, percentages and understanding proportional relationships In the future unit pupils will learn how to calculate the mean of a set of data and use the mean to make comparisons between two sets of information

In the prior unit pupils explained what percent meant and how to represent a percentage in different ways. They learned how to convert percentages to decimals and fractions and solved conversion problems. In this unit pupils will interpret and construct pie charts and line graphs. They will read scales  linked to fractions angles percentages and understanding proportional relationships.

Statistics

In this unit pupils will describe the relationship between 2 factors using a ratio grid to calculate unknown values They will use their knowledge of multiplication and division to solve scaling problems and identify and describe the relationship between two shapes using scale factors and ratios. In the future unit pupils will link fractions to ratio and look at ratio with exchange and conversions.

 In the prior unit pupils explained why the product stayed the same when one factor is doubled and the other is halved using knowledge of equivalence. They explained the effect on the quotient when scaling the dividend and divisor by the same amount. In this unit pupils will describe the relationship between two factors and use a ratio grid to calculate unknown values. 

Ratio and proportion

In this unit pupils will explain how to balance equations with addition or subtraction expressions and use their knowledge of balancing equations to solve problems. In the future unit pupils will compare and represent the structure of problems with two unknowns using a bar model. They will systematically solve problems with two unknowns using trial and improvement.

In the prior unit pupils explained how increasing or decreasing the minuend affected the difference. They used known facts to explain how adjusting the minuend made mental calculation easier. In this unit pupils will explain how to balance equations with addition or subtraction expressions and use their knowledge of balancing equations to solve problems.

Calculating using knowledge of equivalence in addition and subtraction

In this unit pupils will compare and represent the structure of problems with two unknowns using a bar model. They will systematically solve problems with two unknowns using trial and improvement. In the future unit this understanding is formalised through the use of algebraic notation. 

In the prior unit pupils explained how to balance equations with addition or subtraction expressions and used knowledge of balancing equations to solve problems. In this unit pupils will compare and represent the structure of problems with two unknowns using a bar model. They will systematically solve problems with two unknowns using trial and improvement.

Solving problems with two unknowns

In this unit pupils will explore what happens when we combine addition and subtraction with multiplication and division, bringing up the need for the order of operations. In the future unit pupils will use priority of operations with positive and integers and decimals.

In the prior unit pupils explained the use of the commutative and associative laws when multiplying 3 or more numbers. In this unit pupils will explore what happens when we combine addition and subtraction with multiplication and division, bringing up the need for the order of operations.

Order of operations

In this unit pupils will learn how to calculate the mean of a set of data and use the mean to make comparisons between two sets of information. In the future unit pupils will calculate and compare the mean, median and mode of a set of data.

In the prior unit pupils interpreted and constructed pie charts and line graphs and used these to solve problems. They read scales and made links to fractions, angles, percentages and understanding proportional relationships. In this unit pupils will learn how to calculate the mean of a set of data and use the mean to make comparisons between two sets of information.

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