Maths Programme of Study 3.3

Transcription

1 1 4/9/ /9/ /9/ /9/17 5 2/10/17 Recognise place value of each digit in 4-digit numbers. Identify, estimate and represent numbers using different representations including measures. Compare and order numbers beyond Find 1000 more or less than any number. Round any number to the nearest 10, 100 or Count backwards through 0 Read, write, order and compare numbers to at least and determine the value of each digit. Read, write, order and compare numbers to at least and determine the value of each digit. Round any number up to to the nearest 10, 100, 1000, and Count forwards or Monday Training Day Tuesday: New students in Wednesday: All students in

2 to include negative numbers. Count in 6s, 7s, 9s, 25s and 1000s. backwards in steps of powers of 10 for any given number up to /10/ /10/17 Add and subtract numbers with up to 4 digits using the formal written methods of column addition and subtraction where appropriate Add and subtract numbers with up to 4 digits using the formal written methods of column addition and subtraction where appropriate Add and subtract whole numbers with more than 4 digits, including using formal written methods (column addition and subtraction) Add and subtract numbers mentally with increasingly large numbers Autumn /10/17 Estimate and use inverse operations to check Use rounding to check answers to calculations and

3 9 6/11/17 answers to a calculation Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why. Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and determine, in the context of a problem, levels of accuracy Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why. Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why 10 13/11/17 why. Multiplication and Times tables up to 12x12. Recognise and use factor pairs and commutativity in mental calculations Multiply 2-digit and 3-digit numbers by a 1-digit number using formal written layout 11 20/11/ /11/17 Multiplication and Multiplication and Multiplication and Multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for twodigit numbers

4 13 4/12/ /12/17 Times tables up to 12x12. Recognise and use factor pairs and commutativity in mental calculations Multiply 2-digit and 3-digit numbers by a 1-digit number using formal written layout Multiplication and Use place value, known and derived facts to x/ mentally, including multiplying by 0 & 1, dividing by 1, multiplying 3 numbers together. Multiplication and multiplying and adding including using the distributive law to multiply 2-digit numbers by 1-digit 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 Multiply and divide numbers mentally drawing upon known facts Multiplication and Multiply and divide whole numbers and those involving decimals by 10, 100 and Multiplication and Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers Know and use the vocabulary of prime numbers, prime factors and

5 composite (nonprime) numbers. Recall prime numbers up to 19. Spring /1/ /1/ /1/18 increasingly harder fractions to calculate quantities, fractions to divide quantities, including non-unit fractions where the answer is a whole number. increasingly harder fractions to calculate quantities, fractions to divide quantities, including non-unit fractions where the answer is a whole number. Recognise and show families of common Compare and order fractions whose denominators are all multiples of the same number Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number Identify, name and write equivalent fractions of a Monday: Bank Holiday

6 18 22/1/18 equivalent fractions. Simplify simple fractions e.g. 2/8=1/4 Count up and down in hundredths. Recognise that hundredths arise from dividing an object into one hundred equal parts, dividing by one hundred and dividing tenths by ten given fraction, represented visually, including tenths and hundredths Add and subtract fractions with the same denominator, and denominators that are multiples of the same number Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams Recognise the per cent symbol (%) and understand that per cent relates to number of parts per 100, and write percentages as a fraction with denominator 100, and as a decimal fraction Solve problems which require knowing percentage and decimal equivalents 19 29/1/18 of,,,, and those

7 fractions with a denominator of a multiple of 10 or /2/18 Recognise and write decimal equivalents of any number of tenths or hundredths and 1/4, 1/2 and 3/4. Read and write decimal numbers as fractions [for example, 0.71 = ] Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents Spring /2/ /2/18 Round decimals with 1dp to the nearest whole number. Compare numbers with the same number of decimal places up to 2dp. Round decimals with 2 decimal places to the nearest whole number and to 1 decimal place. Read, write, order and compare numbers with up

8 23 5/3/ /3/ /3/18 Measurement Measure and calculate the perimeter of a rectilinear figure (including squares) in cm & m. Measurement Find the area of rectilinear shapes by counting squares. Measurement Convert between different units of measure to 3 decimal places Measurement Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres. Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres. Calculate and compare the area of rectangles (including squares), including using standard units, square centimetres (cm²) and square metres (m²), and estimate the area of irregular shapes. Measurement Estimate volume [for example, using 1 cm³ blocks to build cuboids (including cubes)] and capacity [for example, using water] Measurement Convert between different units of metric measure [for example, kilometre and metre; centimetre and

9 metre; centimetre and millimetre; gram and kilogram; litre and millilitre] Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and 26 26/3/18 Measurement- Time Read, write and convert time between analogue and digital 12/24 hour. pints Measurement- Time converting between units of time. Friday: Bank Holiday Summer /4/ /4/ /4/18 Measurement- Time converting from hours to minutes, minutes to seconds, years to months and weeks to days. Measurement- Time Convert between different units of measure e.g. Hours Use simple formulae generate and describe linear number sequences Express missing number problems algebraically Find pairs of numbers that satisfy an equation with two

10 to minutes. unknowns 30 7/5/ /5/ /5/18 Measurement Money Add and subtract amounts of money to give change using both & p in practical contexts Measurement Money Estimate, compare and calculate different measures including money in & p. Express missing number problems algebraically the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts the calculation of percentages and the use of percentages for comparison. similar shapes where the scale factor is known or can be found solve problems involving unequal sharing and grouping using knowledge of fractions and multiples Monday: Bank Holiday

11 Statistics Draw axes and label integer scales. Present discrete and continuous data using appropriate graphical methods including bar charts and time graphs. Statistics Solve comparison, sum and difference problems using information presented in a line graphs. Summer /6/ /6/ /6/18 Statistics Interpret discrete and continuous data using appropriate graphical methods including bar charts and time graphs. Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs. Compare and classify geometric shapes including quadrilaterals and triangles based on properties and sizes. Statistics Complete, read and interpret information in tables, including timetables Identify 3-D shapes, including cubes and other cuboids, from 2-D representations.

12 36 25/6/ /7/ /7/18 Identify acute and obtuse angles. Compare and order angles up to Identify lines of symmetry in 2d shapes presented in different orientations. Complete a simple symmetric figure with respect to a specific line of symmetry. Describe positions on a 2d grid as coordinates in the 1st quadrant. e.g. (2,5) Describe positions on a 2d grid as coordinates in the 1st quadrant. e.g. (2,5) Describe movements between positions as translations of a given unit to the left/right and Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles. Draw given angles, and measure them in degrees ( ) Identify angles at a point and one whole turn (total 360 ), angles at a point on a straight line and a ½ turn (total 180 Use the properties of rectangles to deduce related facts and find missing lengths and angles Distinguish between regular and irregular polygons based on reasoning about equal sides and angles

13 . up/down Plot specific points and draw sides to 39 16/7/18 complete a given polygon. Activity Week Summer