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Year 3 Maths Framework.

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Presentation on theme: "Year 3 Maths Framework."— Presentation transcript:

1 Year 3 Maths Framework

2 Fractions, Decimals and Percentages
Long Term Overview Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 Week 11 Week 12 Autumn Term Number and Place Value Numbers to 1000 Calculation Addition and Subtraction Multiplication and Division Further Multiplication and Division Spring Term Measurement Length Mass Volume Money Time Summer Term Picture and bar graphs Statistics Fractions, Decimals and Percentages Fractions Geometry Angles, lines and shapes Perimeter and figures Consolidation and review week *The long-term overview is based on the Maths No Problem Scheme of Work

3 Key Facts Termly overview
These weekly objectives will be the focus of the fluency sessions which children participate in daily. They aim to increase the children’s recall of basic facts and skills in order to free up working memory for new learning. These facts will also form the basis for homework each week for the children to have repeated practice in different environments. Each of these areas can be practiced through games, songs, chanting, and competitions etc. as well as online (e.g. times table rockstars). Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 Week 11 Week 12 Autumn Term Single digit addition facts, including bridging 10 Place Value challenges 2x Table 5 and 10x table 3x table 4x table Spring Term 8x table Adding multiples of 10 and 100 Multiplying by 10 2x and 5x tables 4x and 8x table Summer Term Identifying fractions Fractions of amounts

4 Autumn Term Overviews

5 Autumn Term Block 1 – Number and Place Value Numbers to 1000
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number recognise the place value of each digit in a 3-digit number (100s, 10s, 1s) compare and order numbers up to 1,000 identify, represent and estimate numbers using different representations read and write numbers up to 1,000 in numerals and in words solve number problems and practical problems involving these ideas To count in hundreds Other planning documents NCETM Assessment of Mastery White Rose Place Value Block Use It! Make up an example Create numbers where the digit sum is three. Eg 120, 300, 210 What is the largest/smallest number? What comes next? = 926; = 916; = 906 Explain It! Do, then explain 835, 535, 538, 388, and 508; If you wrote these numbers in order starting with the smallest, which number would be third? Explain how you ordered the numbers. Do, then explain Show the3 value of the digit 3 in these numbers? 341, 503, 937 Explain how you know. Evaluate It! Spot the mistake: 50,100,115,200 What is wrong with this sequence of numbers? Prove It! True or False? 38 is a multiple of 8? To compose and decompose 3-digit numbers To understand the value of each digit in a 3-digit number To compare and order numbers To count in fifties To recognise, describe and continue number patterns To count in 4s and 8s 2x consolidation days

6 Autumn Term Block 2 – Calculation Addition and Subtraction
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance add and subtract numbers mentally, including: a three-digit number and 1s a three-digit number and 10s a three-digit number and 100s add and subtract numbers with up to 3 digits, using formal written methods of columnar addition and subtraction estimate the answer to a calculation and use inverse operations to check answers solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction To understand commutative law Use It! Continue the pattern: 90 = 100 – 10; 80 = 100 – 20; Can you make up a similar pattern starting with the numbers 74, 26 and 100? Missing numbers: 91 +__ = 100; 100 -__ = 89 What number goes in the missing box? Fact families: Which four number sentences link these numbers? 100, 67, 33 Missing symbols: Write the missing symbols (+ - =) in these number sentences: 80__20__100;100__70__30; 87__13__100 Explain It! What else do you know? If you know this: 87 = 100 – 13 What other facts do you know? How did you solve this? Evaluate It! True or false? Are these number sentences true or false? = 614; 804 – 70 = 744; = 908 Give your reasons. Hard and easy questions: Which questions are easy / hard? =; =; =; = Explain why you think the hard questions are hard? Making an estimate: Which of these number sentences have the answer that is between 50 and 60: ; 333 – 276; 932 – 871 Prove It! Convince me: __ + __ + __ The total is 201 Each missing digit is either a 9 or a 1. Write in the missing digits. Is there only one way of doing this or lots of ways? Always, sometimes, never: Is it always, sometimes or never true that if you subtract a multiple of 10 from any number the units digit of that number stays the same. Is it always, sometimes or never true that when you add two numbers together you will get an even number To add 3-digit and 1-digit numbers without regrouping To add 3-digit numbers to a multiple of 10 without regrouping To add 3-digit numbers to a multiple of 100 without regrouping To add 2, 3-digit numbers without regrouping To add a 3-digit and 1-digit number with regrouping To add with regrouping tens To add 2, 3-digit numbers, regrouping ones To add 2, 3-digit numbers, regrouping tens To add with regrouping tens and ones To subtract a 1-digit number from a 2-digit number without regrouping To subtract a 1-digit number from a 3-digit number without regrouping To subtract multiples of 10 from a 3-digit number To subtract hundreds from a 3-digit number To subtract a 3-digit number from a 3-digit number To subtract with regrouping tens and ones To subtract with regrouping hundreds To subtract with regrouping tens and hundreds To subtract a 3-digit number with zeros To solve addition and subtraction problems To solve problems using the bar model To use a comparative bar model To solve complicated addition and subtraction problems 2x consolidation lessons

7 Autumn Term Block 3 – Calculation Multiplication and Division
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects To multiply by 3 Use It Missing numbers: 24 = ___ x ___ Which pairs of numbers could be written in the boxes? Making links: Cards come in packs of 4. How many packs do I need to buy to get 32 cards? Explain It 4 × 6 = 24 How does this fact help you to solve these calculations? 40 x 6 =___; 20 x 6 = ___; 24 x 6 = ___. Evaluate It True or false? All the numbers in the two times table are even. True or false? There are no numbers in the three times table that are also in the two times table. Prove It By multiplying or dividing with the digits 2, 3 and 4, how close can you get to 50? What is the largest product? What is the smallest product? To multiply by 4 To multiply by 4 and 8 To multiply by 8 using commutativity To multiply by 8 To divide by 3 To divide by 4 To find the relationship between multiplication and division To divide by 4 and 8 To solve word problems with multiplication To solve word problems involving division To solve word problems involving multiplication and division To solve problems using a variety of strategies 1x consolidation lesson

8 Autumn Term Block 4 – Calculation Further Multiplication and Division
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects To multiply multiples of 10 by a 1-digit number Use It Use a fact: 20 x 3 = 60. Use this fact to work out: 21 x 3 = ___; 22 x 3 = ___; 23 x 3 = ___; 24 x 3 = ___. Explain It 4 × 6 = 24 How does this fact help you to solve these calculations? 40 x 6 =___; 20 x 6 = ___; 24 x 6 = ___. Evaluate It Check the following calculations are correct: 23 x 4 = 82; 117 ÷ 9 = 14 Will the answer to the following calculations be greater or less than 80? 23 x 3=__; 32 x 3 =__; 42 x 3 =__; 36 x 2=__. Prove It What goes in the missing box? Using written methods By multiplying or dividing with the digits 2, 3 and 4, how close can you get to 100? What is the largest product? What is the smallest product? To multiply a 2-digit number by a 1-digit number To multiply with regrouping To divide a 2-digit number To divide with regrouping To use long division to divide To solve word problems involving multiplication To solve word problems involving division To solve word problems 1x consolidation lesson

9 Spring Term Overviews

10 Spring Term Block 1 - Measurement Length
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml) To write lengths in metres and centimetres Use It! Position the symbols. Place the correct symbol between the measurements > or <. 306cm__Half a metre. 930 ml__1 litre. Explain your thinking Undoing a process. Write more statements Working backwards. Explain It! Top Tips. Put these measurements in order starting with the largest. Half a litre; Quarter of a litre; 300 ml. Explain your thinking Evaluate It! Is ____ right? What do you notice? Prove It! Practical. If there are 630ml of water in a jug. How much water do you need to add to end up with a litre of water? What if there was 450 ml to start with? How many ways? The answer is …. What is the question? Always, sometimes, never. True or False? To convert metres to centimetres To convert kilometres to metres To convert lengths from km to km and m To compare two lengths To solve measure word problems To solve measure word problems involving multiplication To solve measure word problems involving division To solve challenging word problems

11 Spring Term Block 2 – Measurement Mass
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml) To use weighing scales Use It! Position the symbols. Place the correct symbol between the measurements > or <. 306cm__Half a metre. 930 ml__1 litre. Explain your thinking Undoing a process. Write more statements Working backwards. Explain It! Top Tips. Put these measurements in order starting with the largest. Half a litre; Quarter of a litre; 300 ml. Explain your thinking Evaluate It! Is ____ right? What do you notice? Prove It! Practical. If there are 630ml of water in a jug. How much water do you need to add to end up with a litre of water? What if there was 450 ml to start with? How many ways? The answer is …. What is the question? Always, sometimes, never. True or False? To use weighing scales to measure mass To read values on a scale greater than 1kg To weigh heavier items To solve mass word problems using addition and subtraction To solve mass word problems using multiplication To solve mass word problems involving division 3x consolidation lessons

12 Spring Term Block 3 – Measurement Volume
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml) To measure volume in millilitres Use It! Position the symbols. Place the correct symbol between the measurements > or <. 306cm__Half a metre. 930 ml__1 litre. Explain your thinking Undoing a process. Write more statements Working backwards. Explain It! Top Tips. Put these measurements in order starting with the largest. Half a litre; Quarter of a litre; 300 ml. Explain your thinking Evaluate It! Is ____ right? What do you notice? Prove It! Practical. If there are 630ml of water in a jug. How much water do you need to add to end up with a litre of water? What if there was 450 ml to start with? How many ways? The answer is …. What is the question? Always, sometimes, never. True or False? To measure capacity in millilitres To measure volume using litres and millilitres To measure volume using litres and millilitres in comparison to 1 litre To measure larger capacity To solve word problems related to volume To solve word problem related to volume To solve word problems related to volume using division To solve two-step word problems

13 Spring Term Block 4 – Measurement Money
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance add and subtract amounts of money to give change, using both £ and p in practical contexts To name amounts of money Use It! Mixed measure comparisons using <, > or = Undoing a process. Working backwards. Explain It! Top Tips. Evaluate It! Is he right? What do you notice? Prove It! How many ways? Possibilities. I bought a book which cost between £9 and £10 and I paid with a ten pound note. My change was between 50p and £1 and was all in silver coins. What price could I have paid? The answer is … What is the question? Always, sometimes, never. True or False? To name amounts of money including regrouping as pounds. To add money by adding pounds and pence separately To add amounts of money To add by making a pound To consolidate addition my making pounds To consolidate adding money To subtract amounts of money To use visual representations to subtract money To use number bonds to subtract money To split pounds to subtract To calculate change To solve word problems Consolidation lessons

14 Spring Term Block 5 – Measurement Time
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24-hour clocks estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o’clock, am/pm, morning, afternoon, noon and midnight know the number of seconds in a minute and the number of days in each month, year and leap year compare durations of events [for example, to calculate the time taken by particular events or tasks] To use am and pm correctly Use It! Mixed unit comparison using <, > or = Undoing. A programme lasting 45 minutes finishes at At what time did it start? Draw the clock at the start and finish time. Write more statements using a timetable Working backwards. Tom’s bus journey takes half an hour. He arrives at his destination at 9:25. At what time did his bus leave? 9: : :45 Explain It! Top Tips Evaluate It! Salha says that 100 minutes is the same as 1 hour. Is Salha right? Explain why. What do you notice? 1 minute = 60 seconds, 2 minutes = 120 seconds. Continue the pattern Prove It! How many ways? The answer is …. 25 minutes. What is the question? True or False? Always, sometimes, never. To tell time to the minute To use time vocabulary To compare analogue to digital time To tell time using the hour and minute hands To tell time using 24-hour notation To tell the time on an analogue clock using roman numerals To measure time in seconds and milliseconds To measure times using a stopwatch To consolidate measuring time To measure time in hours using an analogue clock To consolidate measurement of time in hours To measure time in hours using timelines To measure time in minutes using an analogue clock and timeline To measure time in minutes where it crosses the hour To measure time in minutes counting backwards To identify seconds in a minute To convert seconds into minutes To calculate the number of days in a month To find the duration of days for activities.

15 Summer Term Overviews

16 Summer Term Block 1 – Statistics Picture and Bar Graphs
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance interpret and present data using bar charts, pictograms and tables solve one-step and two-step questions [for example ‘How many more?’ and ‘How many fewer?’] using information presented in scaled bar charts and pictograms and tables To construct picture graphs from a set of data Use It! Explain It! Evaluate It! Make up your own ‘true/false’ statement about the bar chart. What’s the same, what’s different? Pupils identify similarities and differences between different representations and explain them to each other Prove It! True or false? (Looking at a bar chart) “Twice as many people like strawberry than lime”. To construct bar graphs from a set of data To read and interpret bar graphs To read bar graphs To read bar graphs with larger scale increments

17 Spring Term Block 2a – Fractions, Decimals and Percentages Fractions
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10 recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators recognise and show, using diagrams, equivalent fractions with small denominators add and subtract fractions with the same denominator within one whole [for example, 5/7+1/7=6/7] compare and order unit fractions, and fractions with the same denominators solve problems that involve all of the above To count in tenths Use It! What comes next? 6/10, 7/10, 8/10, ….., …. 12/10, 11/10, ….., ….., ….. Explain It! Give an example of a fraction that is less than a half. Now another example that no one else will think of. Explain how you know the fraction is less than a half. (draw an image) Top Tips/ Put these fractions in the correct order, starting with the smallest. 4/8, ¾, ¼. Explain how you did it? Evaluate It! Spot the mistake. six tenths, seven tenths, eight tenths, nine tenths, eleven tenths … and correct it. What do you notice? 1/10 of 10 = 1 2/10 of 10 = 2 3/10 of 10 = 3 Continue the pattern. What do you notice? What about 1/10 of 20? Use this to work out 2/10 of 20, etc. Ben put these fractions in order starting with the smallest. Are they in the correct order? One fifth, one seventh, one sixth Odd one out. Which is the odd one out in each of these trios. ½, 3/6, 5/8; 3/9, 2/6, 4/9 Why? What do you notice? Find 2/5 of 10 Find 4/10 of 10. What do you notice? Can you write any other similar statements? What do you notice? 1/10 + 9/10 = 1, 2/10 + 8/10 = 1, 3/10 + 7/10 = 1 Continue the pattern. Can you make up a similar pattern for eighths? Prove It! True or false? 2/10 of 20cm = 2cm 4/10 of 40cm = 4cm 3/5 of 20cm = 12cm The answer is 5/10, what is the question? (involving fractions / operations) To make number pairs to create a whole To add fractions with the same denominator To consolidate adding fractions To subtract fractions with the same denominator To find equivalent fractions through paper folding and shading To find equivalent fractions using paper folding and shading To place fractions on a number line To find fractions equivalent to ½. To find equivalent fractions using concrete objects To find equivalent fractions using pictorial representation and multiplication To find the simplest fractions using concrete materials To find the simplest fraction using pictorial representation and division To find equivalent fractions using multiplication and division To compare ½ and ¼ using visual representations

18 Spring Term Block 2b – Fractions, Decimals and Percentages Fractions
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators add and subtract fractions with the same denominator within one whole [for example, 5/7+1/7=6/7] compare and order unit fractions, and fractions with the same denominators solve problems that involve all of the above To compare fractions using pictorial representation Use It! What comes next? 6/10, 7/10, 8/10, ….., …. 12/10, 11/10, ….., ….., ….. Explain It! Give an example of a fraction that is less than a half. Now another example that no one else will think of. Explain how you know the fraction is less than a half. (draw an image) Top Tips/ Put these fractions in the correct order, starting with the smallest. 4/8, ¾, ¼. Explain how you did it? Evaluate It! Spot the mistake. six tenths, seven tenths, eight tenths, nine tenths, eleven tenths … and correct it. What do you notice? 1/10 of 10 = 1 2/10 of 10 = 2 3/10 of 10 = 3 Continue the pattern. What do you notice? What about 1/10 of 20? Use this to work out 2/10 of 20, etc. Ben put these fractions in order starting with the smallest. Are they in the correct order? One fifth, one seventh, one sixth Odd one out. Which is the odd one out in each of these trios. ½, 3/6, 5/8; 3/9, 2/6, 4/9 Why? What do you notice? Find 2/5 of 10 Find 4/10 of 10. What do you notice? Can you write any other similar statements? What do you notice? 1/10 + 9/10 = 1, 2/10 + 8/10 = 1, 3/10 + 7/10 = 1 Continue the pattern. Can you make up a similar pattern for eighths? Prove It! True or false? 2/10 of 20cm = 2cm 4/10 of 40cm = 4cm 3/5 of 20cm = 12cm The answer is 5/10, what is the question? (involving fractions / operations) To compare fractions with different denominators To add fractions using pictures To subtract fractions using pictures To subtract fractions from a whole To determine a fraction of a whole using pictures To find a fraction of a whole To consolidate finding fractions of a whole To divide 1 To share more than 1 using pictures and division To share more than 1 To show more than 1 whole after sharing To represent fractions in word problems To solve word problems using ½ To solve word problems using 1/3 and 1/5.

19 Spring Term Block 3 – Geometry Angles, Lines and Shapes
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them recognise angles as a property of shape or a description of a turn identify right angles, recognise that 2 right angles make a half-turn, 3 make three-quarters of a turn and 4 a complete turn; identify whether angles are greater than or less than a right angle identify horizontal and vertical lines and pairs of perpendicular and parallel lines To identify angles in an object Use It! Working backwards. If I make the two opposite sides of a square 5 cm longer the new lengths of those sides are 27cm. What was the size of my original square? What is the name and size of my new shape? Can you find shapes that can go with the set with this label? “Have straight sides that are different lengths.” Explain It! Visualising. I am thinking of a 3-dimensional shape which has faces that are triangles and squares. What could my shape be? One face of a 3-D shape looks like this. What could it be? Are there any other possibilities? Evaluate It! What’s the same, what’s different? What is the same and different about these three 2-D shapes? Prove It! Always, sometimes, never. Is it always, sometimes or never that all sides of a hexagon are the same length. Which capital letters have perpendicular and / or parallel lines? Convince me. To see angles inside and outside an object To find angles in shapes To understand what makes a right angle To compare angles using right angle or acute angle To recognise obtuse angles To make turns using vocabulary To identify perpendicular lines To identify parallel lines To find vertical and horizontal lines To describe 2-D shapes To draw 2’D shapes To make 3-D shapes out of nets To construct 3-D shapes To describe 3-D shapes

20 Spring Term Block 4 – Measurement Perimeter and Figures
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml) measure the perimeter of simple 2-D shapes To measure the length around a shape Use It! Which shape has the largest perimeter? Use the <, > to compare the perimeter of these shapes The perimeter of a square is… What is the length of each side? Write more statements about the shape. A rectangle has… Explain It! Top Tips. How can I calculate the perimeter of …? Evaluate It! Is ____ right? What do you notice? Prove It! How many ways? The answer is …. What is the question? Always, sometimes, never. True or False? To measure the perimeter of a shape To measure the perimeter of different shapes To find the perimeter of shapes using different grids To calculate the perimeter of shapes using rulers To calculate the perimeter of a rectangle using multiplication and addition To calculate the perimeter of different shapes using addition and multiplication To consolidate learning about perimeters To calculate the perimeter of squares and rectangles using properties of shape To calculate the perimeter of shapes with missing information


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