Number and Place Value

Transcription

1 Number and Place Value Reading and writing numbers Ordering and comparing numbers Place value Read and write multiples of 1000 negative numbers in context. Interpret Order and compare numbers beyond 1000 Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones) Read and write numbers up to 10,000 in numbers and words Interpret negative numbers in context. Order and compare numbers beyond 1000 Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones) Read and write no's to 100,000 in numerals and words. Read and write no's with 1 or 2 decimal places. Interpret negative numbers in context. Order and compare numbers beyond Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones); begin to recognise place value for tenths and hundredths. Identify, represent and estimate numbers using different representations. Identify, represent and estimate numbers Identify, represent and Representing and using different representations estimate numbers using different estimating numbers representations Round to nearest 10 and 100 Round to nearest 1000 Round any number to the nearest 10, 100 or Rounding numbers Counting Finding other numbers Solving problems Roman numerals Count in multiples of 1000; count in multiples of 3 then 6 (link with table covered in Y3) Count forwards and backwards in steps of 1 initially, through zero, introducing negative numbers. Find a 1000 more or less than a given multiple of Solve number and practical problems that involve all of the above and with increasingly large positive numbers (School to decide when to cover Roman numerals, linked to curriculum at some point during the academic year). Count in multiples of 9; recap counting in multiples of 50, then progress to multiples of 25. Count forwards and backwards in multiples of 2, 5 & 10 through zero, sometimes starting at a negative number. Introduce finding a 1000 more or less than any given number Solve number and practical problems that involve all of the above and with increasingly large positive numbers Count in multiples of 6, 7, 9, 25 and 1000 Count backwards through zero to include negative numbers. Find a 1000 more or less than a given number. Solve number and practical problems that involve all of the above and with increasingly large positive numbers. Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value.

2 Addition and Subtraction The rules of arithmetic and symbols Key facts Calculate mentally Calculate using a written algorithm Estimating and checking (inverse) Solving problems add and subtract three-digit numbers mentally (ones, tens, hundreds) add and subtract three-digit numbers using formal written method of columnar addition and subtraction. Add and subtract decimals in the context of money use inverse operations to check addition and subtraction solve one-step addition and subtraction problems in context choosing which operation and method to use add and subtract a three-digit numbers to a two-digit number add and subtract four-digit numbers using formal written method of columnar addition and subtraction. Add and subtract decimals in the context of measures estimate the answers to addition and subtraction calculations then check whether the answer is appropriate. solve two-step addition and subtraction problems in context choosing which operation and method to use and why Add and subtract two three-digit numbers mentally, with increased accuracy and speed. Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate. Add and subtract decimals. Estimate and use inverse operations to check answers to a calculation. Solve addition and subtraction twostep problems in contexts, deciding which operations and methods to use and why.

3 Multiplication and Division The rules of arithmetic and symbols Key facts Calculate mentally Calculate using a written algorithm Estimating and checking (inverse) Solving problems Recall multiplication and division facts for multiplication tables for 9 and 12 Use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1. Multiply two digits and three digit numbers by a one digit number using formal written layout Recognise and use factor pairs and the commutative law in mental calculation Recall multiplication and division facts for multiplication tables for 7 and 11 Recall multiplication and division facts for multiplication tables up to Multiplying together three numbers. Divide two digit numbers by one digit numbers with remainders using a formal written layout. Check and use the inverse Check and use the inverse Check and use the inverse. Solve problems involving multiplying and adding including using the distributive law to multiply two digit numbers by one digits. Solve problems involving multiplying and adding including integer scaling problems. Solve problems involving multiplying and adding including harder correspondence problems such as n objects are connected to m objects.

4 Fractions (including decimals, percentages, ratio and proportion) Using fractions to describe parts of an object, shape, quantity or length Fractions as numbers that can be compared and ordered, and can be used for counting Calculating with fractions Equivalent fractions The relationship between fractions and decimals Decimals as numbers that can be compared, ordered and rounded, and can be used for counting Calculating with decimals Percentages Solving problems involving fractions, decimals and percentages Solving problems involving ratio and proportion Recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten. Count up and down in hundredths Count up and down in hundredths Count up and down in hundredths Recognise and write decimal equivalents of any number of tenths and hundredths Count up and down in hundredths; compare numbers with the same number of decimal numbers up to two decimal places Find the effect of dividing a 1 or 2-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenth and hundredths Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including nonunit fractions where the answer is a whole number Add and subtract fractions with the same denominator using visual representations to support Recognise and show, using diagrams, families of common equivalent fractions (equivalence wall as concrete visual representation. Recognise and write decimal equivalents to ¼, ½ and 3/4 Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number Round decimals with one decimal place to the nearest whole number Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number and decimals to two decimal places. To calculate simple ratio problems, using time tables 1:7, 1:9, 1:11, 1:12

5 Algebra Describe (and generalise) patterns Tackle missing number problems and puzzles

6 Measurement Estimating, measuring, recording and interpreting results Converting between units of measure Money Time Perimeter, area and volume estimate, compare and calculate money in pounds and pence, metres and centimetres Convert between different units of measure (for example pounds and pence, metres and centimetres) Solve problems involving all four operations including pounds and pence. Estimate and read time with increasing accuracy to the nearest minute Estimate and compare and calculate different measures of length, mass and volume Convert between different units of measure (litres and ml, kg and g, km and m) Read and write analogue, digital and 24 hour clocks Measure and calculate the perimeter of a rectilinear figure (including squares) in cm and metres. Estimate and compare and calculate different measures of length, mass and volume Convert between units of measure (litres and ml, kg and g, km and m, m and cm, cm and mm) Solve problems involving reading, writing and converting between analogue, digital and 24 hour clocks, hours to minutes, minutes to seconds, years to months and weeks to days. Compare durations of events Find the area of rectilinear shapes by counting squares.

7 Geometry 2D shapes 3D shapes Symmetry Angles and lines Position, direction and pattern Grids and coordinates compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes identify acute and obtuse angles and compare and order angles up to two right angles by size Consolidate properties of 3d shapes identify lines of symmetry in 2d shapes presented in different orientations Complete a simple symmetrical figure with respect to a specific line of symmetry. Describe positions on a 2d grid as coordinates in the first quadrant Describe movements between positions as translations of a given unit to the left/right and up/down Plot specific points and draw sides to complete a given polygon.

8 Statistics To represent data in different ways To interpret data To ask and answer questions Present discrete and continuous data using appropriate graphical methods, including bar charts 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. Time graphs Mode and median Ask and answer and solve problems Present discrete and continuous data using appropriate graphical methods, including bar charts 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.