Place Value and Mental Calculation

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Presentation transcript:

Place Value and Mental Calculation Year 5 Block A Place Value and Mental Calculation

5A1 I can solve number problems and practical problems. I can multiply and divide numbers mentally drawing upon known facts. I can count forwards and backwards with positive and negative whole numbers including through zero. I can interpret negative numbers in context. I can read and write numbers to 100 000 and determine the value of each digit. I can read & write decimal numbers as fractions. I can read and write numbers with up to 2 decimal places. I can add and subtract small multiples of 100 and a 1000 with a 4 digit number mentally (e.g. 1485-300). I can round any number up to 100 000 to the nearest 10, 100, 1000 or 10 000. I can read Roman numerals to 200 (1-CC). I can compare and order numbers up to 100 000. I can compare and order numbers with the same number of decimal places up to 2 decimal places.

5A2 I can use rounding to help me estimate my mental calculations. I can solve problems involving mental multiplication and division by splitting them into their factors. I can read and write numbers to 1 000 000 and determine the value of each digit. I can recognise and use tenths and hundredths and give decimal equivalents. I can read and write numbers with up to 2 decimal places. I know how to identify multiples and factors of a number. I can round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000 and 100 000. I can round decimals with two decimal places to the nearest whole number. I can add and subtract multiples of 100 and a 1000 with a 4 digit number mentally (e.g. 1485-600). I can count forwards or backwards in 10s, 100s and 1000s, from any number up to 100 000. I can compare and order numbers to 1 000 000. I can compare and order numbers with up to 2 decimal places. I can read Roman numerals to 500 (1-D).

I can solve number problems and practical problems. I can multiply and divide numbers mentally drawing upon known facts. I can use rounding to help me estimate my mental calculations. I can count forwards or backwards in steps of powers of 10 for any given number up to 1 000 000. I can add and subtract numbers mentally with increasingly large numbers (e.g. 12 462-2300). I can compare and order numbers with up to 3 decimal places. I can recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents. I can read and write numbers with up to 3 decimal places. I can identify all factor pairs of a number and common factors of two numbers. I can round decimals with two decimal places to the nearest whole number and to one decimal place 5A3 I can read Roman numerals to 1000 (1-M) . I can recognise years written in Roman Numerals.

Year 5 Block B Geometry

I can identify 3-D shapes, including cubes and other cuboids, from 2-D representations. I can read and write numbers with up to 2 decimal places. 5B1 I can draw given angles and measure them in degrees (°). I can compare & order numbers with the same number of decimal places up to 2 decimal places. I can use the properties of rectangles to deduce related facts and find missing lengths. I can use the term diagonal and make conjectures about the angles formed by diagonals and sides, and other properties of quadrilaterals, for example using dynamic geometry ICT tools. I can identify, describe and represent the position of a shape following a translation, using the appropriate language and know that the shape has not changed. I know angles are measured in degrees. I can identify angles at a point and one whole turn (total 360°). I can estimate acute and obtuse and reflex angles.

I can distinguish between regular and irregular polygons based on reasoning about equal sides and angles. I can draw lines with a ruler to the nearest millimetre. I can compare and order numbers with up to 2 decimal places. I can read and write numbers with up to 2 decimal places. 5B2 I can use the properties of rectangles to deduce related facts and find missing lengths and angles. I can use the term diagonal and make conjectures about the angles formed by diagonals and sides, and other properties of quadrilaterals, for example using dynamic geometry ICT tools. I can identify, describe and represent the position of a shape following a reflection or translation using the appropriate language and know that the shape has not changed. I know angles are measured in degrees. I can identify; angles at a point and one whole turn (total 360°). angles at a point on a straight line and ½ turn (total 180°). I can estimate acute, obtuse and reflex angles.

I can identify 3-D shapes, including cubes & other cuboids, from 2-D representations. I can distinguish between regular and irregular polygons based on reasoning about equal sides and angles. 5B3 I can compare and order numbers with up to 3 decimal places. I can read and write numbers with up to 3 decimal places. I can use conventional marking for parallel lines and right angles. I can use the properties of rectangle to deduce related facts and find missing lengths and angles. I can use angle sum facts and other properties to make deductions about missing angles and relate these to missing number problems. I can recognise and use reflection and translation in a variety of diagrams, including continuing to use a 2-D grid and coordinates in the first quadrant. Reflection should be in lines that are parallel to the axes. I know angles are measured in degrees. I can identify; angles at a point and one whole turn (total 360°). Angles at a point on a straight line and ½ turn (total 180°). Other multiples of 90°. I can estimate and compare acute, obtuse and reflex angles.

Written Calculation and Algebra Year 5 Block C Written Calculation and Algebra

I can add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction). 5C1 I can use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy. I can multiply numbers up to 4 digits by a one-digit number using a formal written method. I can divide numbers up to 2 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context. I can multiply and divide whole numbers and those involving decimals by 10, 100 and 1000. I can use multiplication and division as inverses. I can solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. I can solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign. I can establish whether a number up to 100 is prime and recall prime numbers up to 19. I know and can use the vocabulary of prime numbers, prime factors and composite (non-prime numbers).

5C2 I can use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy. I can multiply and divide whole numbers and those involving decimals by 10, 100 and 1000. I can use multiplication and division as inverses. I can multiply numbers up to 3 digits by a two-digit number using the formal written method of long multiplication for two-digit numbers. I can divide numbers up to 3 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context. I can solve problems involving multiplication and division including using my knowledge of factors and multiples, squares and cubes. I can solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates. I can recognise and use square numbers and cube numbers. I can use and understand the terms factor, multiple and prime, square and cube numbers. I can use the notation for squared (2) & cubes (3).

I can add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction). 5C3 I can use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy. I can use multiplication and division as inverses. I can solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign. I can multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers. I can divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context. I can recognise and describe linear number sequences, including those involving fractions and decimals, and find the term-to-term rule. I can begin to write laws algebraically (e.g. distributive law as a(b + c) = ab + ac

Year 5 Block D Fractions

5D1 I can count in thousandths.   5D1 I can count in thousandths. I can count forwards in simple fractions. I can mentally add tenths and one-digit whole numbers and tenths. I can identify, name and write equivalent fractions of a given fraction, represented visually. I can make the connection between finding a ‘fraction of’ and multiplying by a fraction.   I can add fractions with the same denominator and denominators that are multiples of the same number. I can multiply proper fractions by whole numbers, supported by materials and diagrams. I can add decimals, including a mix of whole numbers and decimals, decimals with different numbers of decimals places. I can represent the per cent symbol (%) & understand that per cent relates to ‘number of parts per hundred’ I know a percentage is a proportion of a quantity. I can compare fractions whose denominators are multiples of the same number. I understand that fractions, decimals and percentages are all different ways of expressing proportions

I can recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number (e.g. 2/5 + 4/5 = 6/5 = 1 1/5). I can say, read and write decimal fractions and related tenths, and hundredths accurately. I can convert from an improper fraction to a mixed number and vice versa. 5D2 I know how to count in thousandths in both decimals & fractions. I can count backwards in simple fractions. I can mentally subtract tenths and one-digit whole numbers and tenths.     I can add and subtract fractions with the same denominator and denominators that are multiples of the same number. I can multiply proper mixed numbers by whole numbers, supported by materials and diagrams. I can add and subtract decimals, including a mix of whole numbers and decimals, decimals with different numbers of decimals places. I can represent the per cent symbol (%) & understand that per cent relates to ‘number of parts per hundred’ & write percentages as a fraction with denominator hundred. I know a percentage is an operator. I can order fractions whose denominators are multiples of the same number. I understand that fractions, decimals and percentages are all different ways of expressing proportions

5D3 I can recognise mixed numbers and improper fractions. I can say, read and write decimal fractions and related tenths, hundredths and thousandths accurately. I can convert from an improper fraction to a mixed number and vice versa and represent these numbers on a number line. 5D3 I can count in thousandths and know how to write them as both decimals and fractions. I can count forwards and backwards in simple fractions. I can mentally add & subtract tenths & one-digit whole numbers & tenths.     I can add and subtract fractions with the same denominator and multiples of the same number simplifying my answer or giving it as a mixed number. I can multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams. I can add and subtract decimals, including a mix of whole numbers and decimals, decimals with different numbers of decimals places and complements of 1 (e.g. 0.83 + 0.17 = 1). I can represent the per cent symbol (%) & understand that per cent relates to ‘number of parts per hundred’ & write percentages as a fraction with denominator hundred & as a decimal. I know a percentage is a proportion of a quantity as well as an operator. I can compare and order fractions whose denominators are all multiples of the same number. I understand that fractions, decimals and percentages are all different ways of expressing proportions.

Measures and Statistics Year 5 Block E Measures and Statistics

I know the names of metric units and some common imperial units. I can use all four operations in problems involving time & money, including conversions (e.g. days to weeks, leaving the answers as weeks and days). I can read and interpret information in tables, including timetables. I can solve problems involving converting between units of time. I can measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres. I can complete information in tables, including timetables. I can convert between different units of metric measure (e.g. kilometre and metre; centimetre and metre; centimetre and millimetre).

I know the names of metric units and common imperial units. I can use my knowledge of place value and multiplication and division to convert between standard units. I can calculate and compare the area of rectangles (including squares) and related composite shapes including using standard units, square centimetres (cm2) and square metres (m2) and estimate the area of irregular shapes. I can solve comparison, sum and difference problems using information presented in a line graph. I can use coordinates and scales to solve problems involving interpreting time graphs. I can solve problems involving converting between units of time. I can solve problems using the relations of perimeter and area to find unknown lengths. Missing length questions such as these can be expressed algebraically 4 + 2b = 20 for a rectangle of sides 2 cm & b cm & perimeter of 20cm. I can complete information in tables, including timetables. I can convert between different units of metric measure (e.g. kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram). I understand approximate equivalences between metric units and common imperial units such as inches, pounds and pints.

I know the names of metric units and an increasing number of common imperial units. I can use my knowledge of place value and multiplication and division to convert between standard units. I can solve comparison, sum and difference problems using information presented in a line graph. I can read and interpret information in tables, including timetables. I can begin to decide which representations of data are most appropriate and why. I can use all four operations to solve problems involving measures (e.g. length, mass, volume, money) using decimal notation including scaling. Estimate volume (e.g. using 1 cm3 blocks to build cuboids(including cubes)) and capacity (e.g. using water). I can convert between different units of metric measure (e.g. kilometre & metre; centimetre & metre; centimetre & millimetre; gram & kilogram; litre & millilitre. I understand and can use approximate equivalence between metric units and common imperial units such as inches, pounds and pints.