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Place Value and Mental Calculation

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Presentation on theme: "Place Value and Mental Calculation"— Presentation transcript:

1 Place Value and Mental Calculation
Year 6 Block A Place Value and Mental Calculation

2 6A1 Read and write numbers up to and determine the value of each digit. I understand the purpose of brackets in a number sentence. I can perform mental calculations including with mixed operations. I can identify the value of each digit to three decimal places & multiply & divide numbers by 10, 100 and 1000 giving answers are up to three decimal places. I can order and compare numbers to I can compare and order fractions up to one. I understand that symbols represent unknowns in number sentences (e.g. * + 3 = 6). I can find the difference between two negative numbers. I can solve number and practical problems. I can solve mental problems involving addition, subtraction, multiplication and division. I can round any whole number to a required degree of accuracy. I can identify common factors of two numbers and know what a prime number is.

3 6A2 Read and write numbers up to and determine the value of each digit. I can use brackets in a number sentence for addition and subtraction. I can perform mental calculations including mixed operations and increasingly large numbers. I can order and compare numbers to I can compare and order fractions, including fractions greater than 1. I can use symbols and letters to solve missing number problems. I can calculate intervals across zero. I can solve number and practical problems. I can solve mental problems involving addition, subtraction, multiplication and division. I can round any whole number to a required degree of accuracy. I can identify common multiples of two numbers and know some prime numbers.

4 6A3 Read and write numbers up to and detmine the value of each digit. I can use my knowledge of the order of operations to carry out calculations involving the four operations (e.g. 2 + 1 x 3 = 5 and (2 + 1) x 3 = 9. I can perform mental calculations including mixed operations and large numbers. I can order and compare numbers to I can compare and order fractions, including fractions greater than 1. I can express missing number problems algebraically. I can use negative numbers in context and calculate intervals across zero. I can solve number and practical problems. I can solve mental problems involving addition, subtraction, multiplication and division. I can round any whole number to a required degree of accuracy. I can identify common factors, common multiples and prime numbers.

5 Year 6 Block B Geometry

6 I can draw 2-D shapes using given dimensions and angles.
6B1 I can find the difference between two negative numbers. I can express relationships between angles and shapes algebraically e.g. a = 180 – (b + c). I can draw and label rectangles (including squares), parallelograms and rhombuses, specified by coordinates in all four quadrants, predicting missing coordinates using the properties of shapes. I can describe the properties of shapes and explain how unknown angles and lengths can be derived from known measurements. I can describe positions on the full coordinate grid (all four quadrants). I can draw and label a pair of axes in all four quadrants with equal scaling. I can find unknown angles in any triangles and quadrilaterals. I can recognise angles where they meet at a point, are on a straight line and find missing angles. I can compare and classify geometric shapes based on their properties and sizes.

7 I can recognise, describe and build simple 3-D shapes, including making nets drawing the nets accurately using measuring tools. 6B2 I can calculate intervals across zero. I can express relationships between angles and shapes algebraically e.g. a = 180 – (b + c). I can draw and label rectangles (including squares), parallelograms and rhombuses, specified by coordinates in all four quadrants, predicting missing coordinates using the properties of shapes. I can describe the properties of shapes and explain how unknown angles and lengths can be derived from known measurements. I can draw and translate simple shapes on the coordinate plane, and reflect them in the axes. I can find unknown angles in any triangles, quadrilaterals and regular polygons. I can recognise angles where they meet at a point, are on a straight line and find missing angles. I can compare and classify geometric shapes based on their properties and sizes.

8 I can illustrate and name parts of circles, including radius, diameter and circumference.
6B3 I can use negative numbers in context and calculate intervals across zero. I know that the diameter of a circle is twice the radius I can express relationships between angles and shapes algebraically e.g. d = 2 x r I can draw and label rectangles (including squares), parallelograms and rhombuses, specified by coordinates in all four quadrants, predicting missing coordinates using the properties of shapes. I can describe the properties of shapes and explain how unknown angles and lengths can be derived from known measurements. I can translate shapes using algebraic notation e.g. translating vertex (a, b) to (a-2, b+3); (a, b) and (a+d, b+d) being opposite vertices of a square). I can find unknown angles in any triangles, quadrilaterals and regular polygons. I can recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles. I can compare and classify geometric shapes based on their properties and sizes.

9 Written Calculation and Algebra
Year 6 Block C Written Calculation and Algebra

10 I can solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. 6C1 I can use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. I can round any whole number to a required degree of accuracy. I can solve problems involving addition, subtraction, multiplication and division. I can multiply multi-digit numbers up to 4-digits by a two-digit whole number using the formal written method of long multiplication. I can divide numbers up to 4-digits by a two-digit whole number using the formal written method of short division, where appropriate interpreting remainders according to the context. I can generate simple linear number sequences. I can use simple formulae

11 I can solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. 6C2 I can use estimation to check answers to calculations & determine in the context of a problem, an appropriate degree of accuracy. I can round any whole number to a required degree of accuracy. I can find pairs of numbers that satisfy number sentences involving two unknowns. I can solve problems involving addition, subtraction, multiplication and division. I can multiply one-digit numbers with up to two decimal places by whole numbers. I can 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. I can generate and describe simple linear number sequences. I can use simple formulae

12 I can solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. 6C3 I can use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. I can round any whole number to a required degree of accuracy. Enumerate all possibilities of combinations of two variables. I can solve problems involving addition, subtraction, multiplication and division. I can use written division methods in cases where the answer has up to two decimal places. I can generate and describe linear number sequences. I can use simple formulae

13 Year 6 Block D Fractions

14 6D1 I can solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication & division facts. I can use a variety of images, diagrams and drawings to represent calculations with fractions. I can solve problems involving the calculation of percentages (e.g. of measures) such as 15% of 360. I can use common factors to simplify fractions. I can compare and order fractions up to one. I can use rounding and estimating to support my calculations. I can solve problems which require answers to be rounded to specified degrees of accuracy. I can recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.

15 6D2 I can solve problems involving recipes and similar shapes where the scale factor is known or can be found. I can add and subtract up to three fractions with different denominators using the concept of equivalent fractions. I can divide proper fractions by whole numbers (e.g. 1/3 ÷ 2 = 1/6). I can use a variety of images, diagrams and drawings to represent calculations with fractions (e.g. 1/3 ÷ 2 = 1/6). I can solve problems involving the calculation (e.g. of measures) such as 15% of 360 and the use of percentages for comparison. I can use common multiples to express fractions in the same denomination. I can compare and order fractions including fractions >1. I can quickly name sets of equivalent fractions. I can solve problems which require answers to be rounded to specified degrees of accuracy. I can recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.

16 6D3 I can solve problems involving unequal grouping and sharing using knowledge of fractions and multiples using the notation a:b and the language ‘for every…’. I can use a variety of images, diagrams and drawings to represent calculations with fractions. I can solve problems involving the calculation of increasingly complex percentages (e.g. of measures) such as 15% of 360 and the use of percentages for comparison. I can use common factors to simplify fractions. I can use common multiples to express fractions in the same denomination. I can associate a fraction with division & calculate decimal fraction equivalents (e.g ) for a simple fraction (e.g. 3/8) I can compare and order fractions including fractions >1. I can quickly name sets of equivalent fractions. I can use rounding and estimating to support my calculations. I can solve problems which require answers to be rounded to specified degrees of accuracy. I can recall and use equivalences between simple fractions, decimals and percentages, including in different contexts. I can works backwards from a problem (e.g. if ¼ of a length is 36cm, then the whole length is 36 x 4 = 144cm.

17 Measures and Statistics
Year 6 Block E Measures and Statistics

18 I can use read and write standard units.
I can use decimal notation up to three decimal places where appropriate. I can estimate to check if my answers are sensible. I can interpret line graphs and use them to solve problems. I can solve problems involving the calculation and conversion of units of measure. I recognise that shapes with the same areas can have different perimeters and vice versa. I can recognise when it is possible to use formulae for area of shapes. I can calculate the area of parallelograms and triangles. I can construct line graphs and use them to solve problems. I can draw graphs relating two variables, arising from my own enquiry and in other subjects. I can 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.

19 I can use read and write standard units. 6E2
I can use angles, fractions and percentages to help me interpret pie charts. I can estimate to check if my answers are sensible. I can interpret pie charts and line graphs and use them to solve problems. I can solve problems involving the calculation and conversion of units of measure using decimal notation up to three decimal places where appropriate. I can recognise when it is possible to use formulae for volume of shapes. I can calculate, estimate and compare volumes of cubes and cuboids using standard units, including cubic centimetres (cm3) and cubic metres (m3), and extending to other units (e.g. mm³ and km³) I can construct pie charts and line graphs and use them to solve problems. I can 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 up to three decimal places.

20 I can use read and write standard units.
I can understand and use some compound measures for speed such as miles per hour. 6E3 I can estimate to check if my answers are sensible. I can interpret the mean as an average. I know when it is appropriate to find the mean of a set of data. I can solve problems involving the calculation and conversion of units of measure using decimal notation up to three decimal places where appropriate. I can solve problems involving the connection between conversion from miles to kilometres in measurement and to its graphical representation. I can use the number line to add and subtract positive and negative integers for measures such as negative numbers. I can calculate the mean as an average. I can convert between miles and kilometres.


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