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Year 2 Maths Framework.

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Presentation on theme: "Year 2 Maths Framework."— Presentation transcript:

1 Year 2 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 100 Calculation Addition and Subtraction Multiplying by 2, 5 and 10 Multiplying and Dividing by 2, 4 and 10 Measurement Length, Mass and Temperature Spring Term Picture Graphs Statistics Word Problems Money Geometry 2-D Shapes 3-D Shapes Fractions, Decimals and Percentages Fractions Summer Term Time Volume Consolidation and Review *The long-term overview is based on the Maths No Problem Scheme of Work

3 Key Facts Termly overview Partitioning 1-digit and 2-digit numbers
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 Partitioning 1-digit and 2-digit numbers Number bonds to 10 Single digit addition facts within 10 2x table 5x table 10x table Spring Term Single digit addition facts by making 10 to bridge Recalling doubles Recalling near doubles Summer Term All single digit addition facts Identifying fractions Fractions of amounts

4 Autumn Term Overviews

5 Autumn Term Block 1 – Number and Place Value Numbers to 100
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward  recognise the place value of each digit in a two-digit number (tens, ones)  identify, represent and estimate numbers using different representations, including the number line  compare and order numbers from 0 up to 100; use <, > and = signs  read and write numbers to at least 100 in numerals and in words  use place value and number facts to solve problems. To count numbers to 100 Planning documents NCETM Assessment of mastery White Rose Place Value Block Use It! What comes next? 41+5=46; 46+5=51; 51+5=56 Explain It! Do, then explain: Show the value of the digit 2 in these numbers? Explain how you know. Evaluate It! Spot the mistake 45, 40, 35, 25: What is wrong with this sequence of numbers? Do, then explain: If you wrote these numbers in order starting with the smallest, which number would be third? Explain how you ordered the numbers. Prove It! True or False? I start at 3 and count in threes. I will say 13? Make up an example: Create numbers where the units digit is one less than the tens digit. What is the largest/smallest number? To identify the value of each digit in a number To compare numbers using place value knowledge To use number bonds To count in ones and tens To identify number patterns Consolidation lesson

6 Autumn Term Block 2 – Calculation Addition and Subtraction
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance solve problems with addition and subtraction:  using concrete objects and pictorial representations, including those involving numbers, quantities and measures applying their increasing knowledge of mental and written methods recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100  add and subtract numbers using concrete objects, pictorial representations, and mentally, including:  a two-digit number and ones a two-digit number and tens two two-digit numbers  adding three one-digit numbers  show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot  recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems. To add a 1-digit number to a 2-digit number without regrouping 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? = 113; 98 – 18 = 70; = 123; 92 – 67 = 35 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 ; ; 87 – 34 Prove It! Other possibilities: __ + __ + __ = 14 What single digit numbers could go in the boxes? How many different ways can you do this? Convince me: What digits could go in the boxes? 7__ - 2__ = 46 Try to find all of the possible answers. How do you know you have got them all? Always, sometimes, never: Is it always, sometimes or never true that if you add three numbers less than 10 the answer will be an odd number To add tens To add two 2-digit numbers where 1 is a multiple of 10. To add with tens and ones greater than zero To add 1-digit number to 2-digit numbers with renaming To add two 2-digit numbers with renaming To subtract ones from a 2-digit number To subtract multiples of 10 from multiples of 10 To subtract tens from a 2-digit number To subtract 2-digit numbers from 2-digit numbers To subtract 1-digit numbers from 2-digit numbers with renaming To subtract 2-digit numbers from 2-digit numbers with renaming To add three 1-digit numbers Consolidation lesson

7 Autumn Term Block 3 – Calculation Multiplication by 2, 5 and 10
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbers  calculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication (×), division (÷) and equals (=) signs  show that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot  solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts To recognise multiplication as repeated addition Use It! Missing numbers: 10 = 5 x ___ What number could be written in the box? I have 30p in my pocket in 5p coins. How many coins do I have? Explain It! Write the multiplication number sentences to describe this array: What do you notice? Write the division sentences. Evaluate It! True or false? When you count up in tens starting at 5 there will always be 5 units. Use the inverse to check if the following calculations are correct: 12 ÷ 3 = 4; 3 x 5 = 14 Prove It! Which four number sentences link these numbers? 3, 5, 15? To understand the 2 times table To multiply by 2 To understand the 5 times table To recall and use the 5 times table To understand the 10 times table To identify patterns in the 10 times table To investigate links between the 2, 5 and 10 times table To use recall of the 2, 5 and 10 times table To solve problems using the 2, 5 and 10 times table

8 Autumn Term Block 4 – Calculation
Multiplication and Division by 2, 5 and 10 Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbers  calculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication (×), division (÷) and equals (=) signs  show that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot  solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts To understand grouping as division Use It! Missing numbers: 10 = 5 x ___ What number could be written in the box? I have 30p in my pocket in 5p coins. How many coins do I have? Explain It! Write the multiplication number sentences to describe this array: What do you notice? Write the division sentences. Evaluate It! True or false? When you count up in tens starting at 5 there will always be 5 units. Use the inverse to check if the following calculations are correct: 12 ÷ 3 = 4; 3 x 5 = 14 Prove It! Which four number sentences link these numbers? 3, 5, 15? To divide by sharing an amount To divide by 2 To divide by 5 To divide by 10 To use fact families for 2, 5 and 10 times table To solve division and multiplication word problems To link odd and even numbers to dividing by 2, 5 and 10 Consolidation lesson

9 Autumn Term Block 5 – Measurement Length, Mass and Temperature
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); mass (kg/g); temperature (°C); capacity (litres/ml) to the nearest appropriate unit, using rulers, scales, thermometers and measuring vessels  compare and order lengths, mass, volume/capacity and record the results using >, < and = To measure length in metres Use It! Place the correct symbol between the measurements > or < 36cm __ 63cm; 130ml __ 103ml Draw two lines whose lengths differ by 4cm. Explain It! Put these measurements in order starting with the smallest: 75g; 85g; 100g. Explain your thinking The answer is …. 10cm. What is the question? Put these temperatures in order starting with the smallest. Explain your thinking. Evaluate It! True or False? 20 paper clips weighs the same as a ruler True or False? The temperature inside is the same as the temperature outside Prove It! Pencils are not always the same length All areas inside the school are the same temperature The answer is… What is the question? To measure length in centimetres To compare length using greater than and less than To compare lengths using centimetres as a unit of measure To compare and measure lines To solve problems involving measurement To solve addition and multiplication word problems using measurements To solve addition and division word problems involving measurement To measure mass in kilograms To measure mass in grams To compare the mass of 2 objects To compare the mass of 3 objects To solve problems involving mass To estimate temperature in celsius

10 Spring Term Overviews

11 Spring Term Block 1 – Statistics Picture Graphs
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance interpret and construct simple pictograms, tally charts, block diagrams and simple tables  ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity  ask and answer questions about totalling and comparing categorical data. To read picture graphs Prove It! True or false? (Looking at a simple pictogram) “More people travel to work in a car than on a bicycle”. Make up you own ‘true/false’ statement about the pictogram Evaluate It! What’s the same, what’s different?Pupils identify similarities and differences between different representations and explain them to each other To read and interpret picture graphs To read picture graphs where the value of the picture is more than 1 To read, interpret and create a picture graph

12 Spring Term Block 2 – Calculation Word Problems
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts solve problems with addition and subtraction:  using concrete objects and pictorial representations, including those involving numbers, quantities and measures applying their increasing knowledge of mental and written methods To identify addition and subtraction word problems To solve problems involving difference To solve multi-step problems To solve problems involving unknown quantities Consolidation lesson

13 Spring Term Block 3 – Measurement Money
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance recognise and use symbols for pounds (£) and pence (p); combine amounts to make a particular value  find different combinations of coins that equal the same amounts of money  solve simple problems in a practical context involving addition and subtraction of money of the same unit, including giving change  To identify UK coins and notes Use It! Undoing. The film finishes two hours after it starts. It finishes at What time did it start? Draw the clock at the start and the finish of the film. Application. (Practical) Draw two lines whose lengths differ by 4cm. Working backwards. Draw hands on the clock faces to show when break started and when it finished 15 minutes later at 10:35. Evaluate It! The time is 3:15pm. Kate says that in two hours she will be at her football game which starts at 4:15. Is Kate right? Explain why. Explain It! Top tips. Put these measurements in order starting with the smallest. 75 grams, 85 grams, 100 grams. Explain your thinking Position the symbols. Place the correct symbol between the measurements > or < 36cm__63cm; 130ml__103ml. Explain your thinking What do you notice? 1 hour = 60 minutes; ½ hour = 30 minutes; ¼ hour = 15 minutes. Write down some more time facts like these Prove It! Possibilities. How many different ways can you make 63p using only 20p, 10p and 1p coins? The answer is …. 3 hours. What is the question? To count notes in 5s and 10s To count coins using their values To represent amounts of money using coins and notes To create equal amounts of money using different coins To exchange money for different coins To compare amounts of money using coins To add money together to find the total To calculate change from £100 or less To solve word problems using money

14 Spring Term Block 4 – Geometry 2-D Shapes
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance identify and describe the properties of 2-D shapes, including the number of sides and line symmetry in a vertical line  compare and sort common 2-D and 3-D shapes and everyday objects To identify the number of sides on a 2-D shape Use It! Do they all have straight edges and flat faces? Visualising. In your head picture a rectangle that is twice as long as it is wide. What could its measurements be? Evaluate It! What’s the same, what’s different? Pick up and look at these 3-D shapes. What is the same and what is different about these shapes? Explain It! What comes next? Explain why Prove It! Always, sometimes, never. Is it always, sometimes or never true that when you fold a square in half you get a rectangle. Other possibilities. Can you find shapes that can go with the set with this label? “Have straight sides and all sides are the same length” To identify and count vertices in regular polygons To identify lines of symmetry in basic 2-D shapes To construct shapes using pattern blocks To sort shapes based on sides, vertices and other factors To draw shapes using square grid and dot paper To recognise patters To move shapes using common language To turn objects using ¼, ½ and ¾ turns Consolidation lesson

15 Spring Term Block 5 – Geometry 3-D Shapes
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces  identify 2-D shapes on the surface of 3-D shapes, [for example, a circle on a cylinder and a triangle on a pyramid]  compare and sort common 2-D and 3-D shapes and everyday objects To recognise 3-D shapes by identifying their properties Use It! Do they all have straight edges and flat faces? Visualising. In your head picture a rectangle that is twice as long as it is wide. What could its measurements be? Evaluate It! What’s the same, what’s different? Pick up and look at these 3-D shapes. What is the same and what is different about these shapes? Explain It! What comes next? Explain why Prove It! Always, sometimes, never. Is it always, sometimes or never true that when you fold a square in half you get a rectangle. Other possibilities. Can you find shapes that can go with the set with this label? “Have straight sides and all sides are the same length” To describe 3-D shapes using faces, vertices and edges To describe 3-D shapes based on the 2-D shapes of their faces. To group 3-D shapes by their properties To form 3-D structures using multiple objects To make and recognise patterns using 3-D shapes Consolidation lesson

16 Spring Term Block 6 – Fractions, Decimals, Percentages Fractions
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance recognise, find, name and write the fractions 1/3, ¼, 2/4 and 3/4 of a length, shape, set of objects or quantity  write simple fractions for example, 1/2 of 6 = 3 and recognise the equivalence of 2/4 and ½. To make equal parts from a whole Use It! What comes next? 5 ½, 6 ½ , 7 ½ , …., …. 9 ½, 9, 8 ½, ……, ….. Ordering. Put these fractions in the correct order, starting with the smallest.. ½, ¼, 1/3 Evaluate It! Spot the mistake 7, 7 ½ , 8, 9, 10; 8 ½, 8, 7, 6 ½, … and correct it What do you notice? ¼ of 4 = 1, ¼ of 8 = 2, ¼ of 12 = 3 Continue the pattern. What do you notice? What do you notice? Find ½ of 8. Find 2/4 of 8. What do you notice? Explain It! Odd one out. Which is the odd one out in this trio: ½, 2/4, ¼ Why? Prove It! True or false? Half of 20cm = 5cm, ¾ of 12cm = 9cm To show and recognise halves and quarters To show and identify more than one quarter To show and identify thirds in shapes To name fractions To recognise equivalent fractions in quarter, thirds and halves To compare and order fractions using pictorial support To compare and order fractions with different denominators To form mixed numbers by counting wholes and parts To count in halves To count in quarters To count in thirds To find half of whole numbers To find thirds of whole numbers To find quarters of whole numbers To find fractions of quantities or lengths Consolidation lesson

17 Summer Term Overviews

18 Summer Term Block 1 – Measurement Time
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance compare and sequence intervals of time  tell and write the time to five minutes, including quarter past/to the hour and draw the hands on a clock face to show these times  know the number of minutes in an hour and the number of hours in a day. To tell and write the time in 5-minute intervals Use It! Undoing. The film finishes two hours after it starts. It finishes at What time did it start? Draw the clock at the start and the finish of the film. Application. (Practical) Draw two lines whose lengths differ by 4cm. Working backwards. Draw hands on the clock faces to show when break started and when it finished 15 minutes later at 10:35. Evaluate It! The time is 3:15pm. Kate says that in two hours she will be at her football game which starts at 4:15. Is Kate right? Explain why. Explain It! Top tips. Put these measurements in order starting with the smallest. 75 grams, 85 grams, 100 grams. Explain your thinking Position the symbols. Place the correct symbol between the measurements > or < 36cm__63cm; 130ml__103ml. Explain your thinking What do you notice? 1 hour = 60 minutes; ½ hour = 30 minutes; ¼ hour = 15 minutes. Write down some more time facts like these Prove It! Possibilities. How many different ways can you make 63p using only 20p, 10p and 1p coins? The answer is …. 3 hours. What is the question? To tell time to 5-minute intervals and to the hour To sequence events from analogue clocks and pictures To draw hands to show time To find the duration of time in 30 and 60-minute intervals To find the duration of time to 5-minute intervals To find the ending of a duration from a 5-minute starting point To find the ending time in intervals of 5-minute To find starting times from 30-minute and 1-hour durations To compare durations of time

19 Summer Term Block 2 – Measurement Volume
Curriculum Objective Coverage Small Step Lesson Breakdown Additional Planning Guidance choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); mass (kg/g); temperature (°C); capacity (litres/ml) to the nearest appropriate unit, using rulers, scales, thermometers and measuring vessels  compare and order lengths, mass, volume/capacity and record the results using >, < and =  To compare volume using greater than, less than, greatest and least Use It! Undoing. The film finishes two hours after it starts. It finishes at What time did it start? Draw the clock at the start and the finish of the film. Application. (Practical) Draw two lines whose lengths differ by 4cm. Working backwards. Draw hands on the clock faces to show when break started and when it finished 15 minutes later at 10:35. Evaluate It! The time is 3:15pm. Kate says that in two hours she will be at her football game which starts at 4:15. Is Kate right? Explain why. Explain It! Top tips. Put these measurements in order starting with the smallest. 75 grams, 85 grams, 100 grams. Explain your thinking Position the symbols. Place the correct symbol between the measurements > or < 36cm__63cm; 130ml__103ml. Explain your thinking What do you notice? 1 hour = 60 minutes; ½ hour = 30 minutes; ¼ hour = 15 minutes. Write down some more time facts like these Prove It! Possibilities. How many different ways can you make 63p using only 20p, 10p and 1p coins? The answer is …. 3 hours. What is the question? To compare volume using non-standard units To measure volume using litres To measure volume using millilitres and litres To solve word problem using litres To solve word problems using ml and L To solve word problems involving volume and multiplication Consolidation lesson


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