﻿ Support for Parents - Royal Park Primary School
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# Support for Parents

Expectations for Maths

Maths at Royal Park:

First of all, from everyone here at Royal Park, we would like to thank you for all the ongoing support of your children’s learning in these challenging times. We understand that the adaptation to online learning has been no easy feat and you should be incredibly proud of all the support you have been offering your children!

We have made this document so that parents will be more aware of the end of year expectations for children in their respective year groups. It also offers further guidance and direction to specific resources that you might find useful to help your children when they are struggling or looking for interactive ways to continue their learning.

As a school our expectations for Maths are as follows:

• That a piece of maths work is uploaded every day, for every live lesson taught.

• It is imperative that Maths is completed on paper and children show their working out. A photo of their work is then uploaded so that teachers can check if there are any errors being made in calculating the answer

• Children should not be afraid to make mistakes. Any mistakes (as long as they are made to understand why it is wrong) leads children on the journey of understanding the correct method. Children should not fear or worry about making mistakes and should show our school value of resilience when they are struggling.

• If your child is struggling with their maths work please contact the teacher via google classroom where they can offer further assistance.

Ways to assist your child in their learning:

• Start each day by asking your child about what they did in the lesson the day before.

• Where possible try and use real life objects to support their learning (spoons, rice, coins etc.)

• Do not tell the child the answer but try and support their working out to get to the correct answer.

• Try and apply the maths to real life situations/examples.

• Talk about time, refer to the time at the different points in the day or an activity so they become familiar with time.

• Rewatch the live lessons if children are struggling with their Maths work Reception:

 Things that they need to be able to know and calculate by the end of the year: Count reliably with numbers from 1 to 20, place them in order and say which number is one more or one less than a given number. Use quantities and objects to add and subtract 2 single-digit numbers and count on or back to find the answer. Use everyday language to talk about size, weight, capacity, position, distance, time, and money to compare quantities and objects and to solve problems. Recognise, create, and describe patterns. Explore characteristics of everyday objects and shapes and use mathematical language to describe them. Tips to help your child with their Maths: Count everything! The more practice they have with counting the better. You could ask: How many buses have we seen? How many lamp posts are on the street? Practice writing numbers by exploring their shapes. Try holding their finger and forming the number in the air. Write them in sand with a stick. Make the numbers out of clay or other objects.   Sing counting songs - singing helps children to develop their speaking and listening skills and to have           fun with words. Counting songs, like ‘1, 2, 3, 4,5… Once I caught a fish alive,’ can help your child have      fun with numbers.  Make it as fun and practical as you can- lots of games and use of objects/visual aids  Encourage the children to explain their own knowledge and how they have solved a number problem using full sentences. Maths happens everywhere so have fun with Maths while out walking or on a trip to the park. Website links for further support: https://www.thenational.academy/  - has some great video recordings.  https://www.topmarks.co.uk/learning-to-count/ladybird-spots https://www.topmarks.co.uk/early-years/lets-compare https://www.topmarks.co.uk/learning-to-count/teddy-numbers https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Ten-Frame/ https://cdn.oxfordowl.co.uk/2016/05/10/08/28/28/967/20163_content/Add_to_10.html?username=owl https://cdn.oxfordowl.co.uk/2016/05/10/08/28/28/967/20163_content/Take_Away_from_10.html?username=lo

Year 1:

 Things that they need to be able to know and calculate by the end of the year: Place value: Count across 100 forwards and backwards. Count read and write numbers to 100; count in multiples of twos, fives and tens. Given a number, identify 1 more and 1 less. Identify and represent numbers using objects and pictorial representations including the number line, and use of language of: equal to, more than, less than (fewer), most, least. Read and write numbers from 1 - 20 in numerals and words.  Addition and subtraction: read , write and interpret mathematical statements involving addition (+), subtraction (-) and equals (=) signs. Represent and use number bonds and related subtraction facts within 20. Add and subtract one-digit and two-digit numbers to 20, including zero. Solve one - step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = ? - 9  Multiplication and division: Solve one- step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher. Fractions: Recognise, find and name a half as one of two equal parts of an object, shape or quantity, recognise, find and name a quarter as one of four equal parts of an object, shape or quantity. Tips to help your child with their Maths: Count everything! The more practice they have with counting the better. You could ask: How many buses have we seen? How many lamp posts are on the street? Practice writing numbers by exploring their shapes. Try holding their finger and forming the number in the air. Write them in sand with a stick. Make the numbers out of clay or other objects.  Sing counting songs - singing helps children to develop their speaking and listening skills and to have fun with words. Counting songs, like ‘1, 2, 3, 4,5… Once I caught a fish alive,’ can help your child have fun with numbers. Website links for further support: https://www.thenational.academy/  - has some great video recordings.  https://www.topmarks.co.uk/learning-to-count/ladybird-spots https://www.topmarks.co.uk/early-years/lets-compare https://www.topmarks.co.uk/learning-to-count/teddy-numbers https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Ten-Frame/ https://cdn.oxfordowl.co.uk/2016/05/10/08/28/28/967/20163_content/Add_to_10.html?username=owl https://cdn.oxfordowl.co.uk/2016/05/10/08/28/28/967/20163_content/Take_Away_from_10.html?username=lo

Year 2:

 Things that they need to be able to know and calculate by the end of the year: Place value: In year 2, children will be expected to recognise tens and ones in 2 digit - numbers (for example 23 has 2 tens and 2 ones) and use these to order numbers to 100. This includes in steps/multiples of 2, 3, 5 and 10. Using more than (>), less than (<) and equals (=) symbols to compare numbers. Using place value and number facts to solve problems.  Addition and subtraction: In year 2, children will be expected to be able to solve addition and subtraction problems using numbers with one and two digits. This includes:  Knowing and using addition and subtraction facts up to 20 and working out related addition and subtraction fact to 100 (if 3 + 2 = 5 then, 30 + 20 = 50)  Adding and subtracting numbers using objects, pictures and drawings, and also solving these problems mentally. Understanding that addition and subtraction have an inverse relationship, i.e. they undo each other, and using this to check their calculations.  Multiplication and division: In Year 2, children will be expected to use a range of methods to solve multiplication and division problems, including using practical resources and mental methods. This includes: Knowing and using multiplication and division facts for the 2, 5 and 10 times tables.  Recognising and identifying odd and even numbers.  Using the symbols x, and = to record multiplication and division calculations.  Fractions: In Year 2, children will be expected to be able to recognise and use the fractions ½ , â…“, ¼, 24 and ¾ . This includes:  Finding fractions of lengths, shapes, sets of objects and quantities. Writing simple fractions, such as ½ of 6 = 3  Recognising that 24 and ½ means the same.  With fractions try and use as many visual representations/real life representations as possible: A good website to represent and compare fractions - https://mathsframe.co.uk/en/resources/resource/66/itp-fractions Tips to help your child with their Maths: Start each day by asking your child about what they did in the lesson the day before.  Where possible try and use real life objects to support their learning (spoons, rice, coins etc.)  Do not tell the child the answer but try and support their working out to get to the correct answer. Try and apply the maths to real life situations/examples.  Talk about time, refer to the time at the different points in the day or an activity so they become familiar with time.  Play the addition and subtraction facts game: Encourage your child to practise addition and subtraction to 20. This will help them derive related facts such as: 3 + 7 = 10                     10 - 7 = 3                   7 = 10 - 3  Try giving your child simple calculations such as 5+ 3 = 8. Ask them to record as many related addition and subtraction facts as they know. For example, if they know that 5 + 3 = 8, 8 - 3 = 5, 8 - 5 = 3, 15 + 3 = 18, 50 + 30 = 80, and so on.   Try missing number problems: You can support your child by making the most of opportunities to practice missing number problems practically. For example, you can ask for your child’s help if you have a number of problems practically. For example, you can ask for your child’ shelp if you have a number of something but need a higher number, ‘ I have 5 buttons but I need 15 buttons. How many more do I need?’ Website links for further support: https://www.thenational.academy/  - has some great video recordings.  https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Ten-Frame/ https://toytheater.com/category/teacher-tools/virtual-manipulative/ https://www.topmarks.co.uk/maths-games/mental-maths-train https://mathsframe.co.uk/en/resources/resource/116/telling-the-time https://www.youtube.com/watch?v=jGtBYUQKF4M - time song https://www.topmarks.co.uk/maths-games/hit-the-button https://phet.colorado.edu/en/simulation/arithmetic https://mathsframe.co.uk/en/resources/resource/504/Super-Maths-Bowling-Multiplication https://ttrockstars.com/  (Please ensure you have chosen the correct school when logging in (DA14 4PX), contact your class teacher for any username or password issues.)

Year 3:

 Things that they need to be able to know and calculate by the end of the year: Place value: In Year 3, children will be expected to recognise hundreds, tens and ones in 3-digit numbers (for example 423 has 4 hundred, 2 tens and 3 ones). This includes: Counting in steps of 4, 8, 50 and 100. Reading, writing, comparing and ordering numbers to 1000. Finding 10 or 100 more or less than a number. Addition and subtraction: In year 3, children will be expected to be able to use a range of strategies to solve problems mentally and learn formal written methods for column addition and column subtractions this includes:  Adding and subtracting numbers with up to three digits.  Estimating answers to problems before working them out accurately and checking using the inverse operation, i.e. using addition to check subtraction and vice versa.  Explaining how they have solved a problem and why they chose a particular method.  Multiplication and division: In Year 3, children will be expected to use a range of strategies to solve problems mentally and begin to learn formal written methods for short multiplication and short division. This includes: Knowing and using multiplication and division facts for the 3, 4, and 8 times tables.  Multiplying two-digit by one - digit numbers. Understanding that multiplication and division have an inverse relationship, i.e they undo each other, and using this to check their calculations.  Fractions: In Year 3, children will be expected to be able to compare and order fractions and begin to add and subtract fractions with the same denominator. This includes: Counting up and down in tenths and connecting tenths to dividing by 10 Using unit and non-unit fractions Understanding equivalent fractions, that is fractions that have the same value such as â…– = 4/10. With fractions try and use as many visual representations/real life representations as possible: A good website to represent and compare fractions - https://mathsframe.co.uk/en/resources/resource/66/itp-fractions Tips to help your child with their Maths: Start each day by asking your child about what they did in the lesson the day before.  Where possible try and use real life objects to support their learning (spoons, rice, coins etc.)  Do not tell the child the answer but try and support their working out to get to the correct answer. Try and apply the maths to real life situations/examples.  Talk about time, refer to the time at the different points in the day or an activity so they become familiar with time. Ask questions like: what will the time be in 15 minutes? What about in an hour? Play the addition and subtraction facts game: Encourage your child to practise addition and subtraction to 20. This will help them derive related facts such as: 3 + 7 = 10                     10 - 7 = 3                   7 = 10 - 3  Then apply these to larger numbers, such as:  30 + 70 = 100               70 + 30 = 100 Here are three simple, but effective learning ideas that you can try with your child using everyday items at home.  Make arrays - Arrays  are shapes or objects arranged in a rectangle, such as a muffin tray or an egg box. Give your child some counters, buttons or beads, say 12. How many different arrays can they make? What calculations does each array show? Play with food - Use foods with a regular shape (cake, pizza, cucumber slices) and ask questions like: Let’s cut this into 8 pieces, what fraction is each piece? Find fractions of amounts using foods such as fish fingers or biscuits: There are 12 in the packet and 4 of us. What fraction can we each have? How many each is that? Hunt for treasure - Hide some ‘treasure’ in a room and blindfold your child. Give them directions to find the treasure, such as: Turn two right angles clockwise, now take three steps forward. Use whole, half, quarter and three-quarter turns clockwise and anti-clockwise. Website links for further support: https://www.thenational.academy/  - has some great video recordings.  https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Ten-Frame/ https://toytheater.com/category/teacher-tools/virtual-manipulatives/ https://www.topmarks.co.uk/maths-games/hit-the-button https://phet.colorado.edu/en/simulation/arithmetic https://mathsframe.co.uk/en/resources/resource/504/Super-Maths-Bowling-Multiplication https://ttrockstars.com/  (Please ensure you have chosen the correct school when logging in (DA14 4PX), contact your class teacher for any username or password issues.)

Year 4:

 Things that they need to be able to know and calculate by the end of the year: Place value: In year 4, children will be expected to order and compare numbers beyond 1000 using place value in 4 digit numbers (for example 1423 has 1 thousand, 4 hundred, 2 tens, and 3 ones). This includes: Counting in steps of 6, 7, 9, 25 and 1000 Counting backwards through zero and to include negative numbers Rounding any number to the nearest 10, 100 or 1000.  Addition and subtraction: In Year 4, children will be expected to be able to solve addition and subtraction problems involving numbers up to four digits. This includes:  Choosing from a variety of methods, including mental calculations, using objects, diagrams or drawings such as number lines, models such as the area/grid method or written column addition and column subtraction.  Estimating numbers before calculating accurately and checking answers by understanding that addition and subtraction are inverse (opposite) operations. Solving two- step word problems which require them to solve two different calculations before coming to an answer.  Multiplication and division: In Year 4, children will be expected to be able to use formal written methods of short multiplication and short division confidently. This includes: knowing and using multiplication and division facts for all times tables up to 12 × 12 multiplying three-digit by one-digit numbers multiplying three numbers together (under 10)  Fractions: In Year 4, children will be expected to explore the link between fractions and multiplication/division and begin to learn about decimals. This includes: Solve simple measure and money problems involving fractions and decimals.  Recognising and writing tenths and hundredths as decimals  Rounding decimal numbers with on decimal place to the nearest whole number With fractions try and use as many visual representations/real life representations as possible: A good website to represent and compare fractions - https://mathsframe.co.uk/en/resources/resource/66/itp-fractions Tips to help your child with their Maths: Start each day by asking your child about what they did in the lesson the day before.  Where possible try and use real life objects to support their learning (spoons, rice, coins etc.)  Do not tell the child the answer but try and support their working out to get to the correct answer. Try and apply the maths to real life situations/examples.  Talk about time, refer to the time at the different points in the day or an activity so they become familiar with time. Ask questions like: what will the time be in 15 minutes? What about in an hour? Play the addition and subtraction facts game: Encourage your child to practise addition and subtraction to 20. This will help them derive related facts such as: 3 + 7 = 10                     10 - 7 = 3                   7 = 10 - 3  Then apply these to larger numbers, such as:  30 + 70 = 100               300 + 700 = 1000 You don’t need to be an expert to support your child with maths or help them develop a good sense of number! Here are three simple, but effective learning ideas that you can try with your child using everyday items at home.  Find the negative -Look for negative numbers to discuss with your child. For example, thermometers, weather reports, storage temperatures on frozen food packets, elevation of places below sea level, goal differences in sports league tables, below-ground floors in lifts, losing points in video games. Play times tables games - Make two sets of number cards 1–12. Shuffle and place them face down in two piles. Take a number from each pile and multiply them together. Score a point for each correct answer. The first to 10 points wins. Round at the shops - Practise rounding decimals with one decimal place to the nearest whole number when shopping. Challenge your child to round prices to the nearest pound. For example, an item costing £4·70 would be £5 to the nearest pound. Website links for further support: https://www.thenational.academy/  - has some great video recordings.  https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Ten-Frame/ https://toytheater.com/category/teacher-tools/virtual-manipulatives/ https://www.topmarks.co.uk/maths-games/hit-the-button https://phet.colorado.edu/en/simulation/arithmetic https://mathsframe.co.uk/en/resources/resource/504/Super-Maths-Bowling-Multiplication https://ttrockstars.com/  (Please ensure you have chosen the correct school when logging in (DA14 4PX), contact your class teacher for any username or password issues.)

Year 5:

 Things that they need to be able to know and calculate by the end of the year: Place value: In Year 5, children will be expected to read, write, order and compare numbers up to 1,000,000, recognising the place value of each digit.This includes:  Counting forwards and backwards with positive and negative numbers. Rounding numbers up to one million to the nearest 10, 100, 1000, 10000 and 100,000 Recognising Roman Numerals I, V, X, L ,C, D and M to read numbers and years. Addition and subtraction: In Year 5, children will be expected to solve addition and subtraction problems involving numbers with more than four digits. This includes:  Practising a range of mental calculation strategies as well as using a variety of methods to calculate including using objects, diagrams or drawings such as number lines, written column addition and column subtraction. Using rounding to estimate answers and checking that their answers are sensible and accurate.  Solving multi-step word problems for which they will need to solve multiple calculations before coming to the final answer. Multiplication and division: In Year 5, children will be expected to be able to solve multiplication and division problems involving numbers up to four digits and begin to learn long multiplication. This includes:  Multiplying four digit numbers by two digit numbers Dividing four digit number by one digit number and interpreting remainders Understanding the terms multiple, factor, common factor, prime, square, and cube numbers Fractions: In Year 5,  children will be expected to be able to find fractions of numbers and quantities including thousandths and begin to learn about percentages. This includes:  Recognising and converting between mixed numbers and improper fractions.  Multiplying proper fractions and mixed numbers by whole numbers Understanding percentages as ’the number parts per hundred’ and knowing percentage and decimal equivalents of ½, ¼, â…•, â…–, â…˜,  With fractions try and use as many visual representations/real life representations as possible: A good website to represent and compare fractions - https://mathsframe.co.uk/en/resources/resource/66/itp-fractions Tips to help your child with their Maths: Start each day by asking your child about what they did in the lesson the day before.  Where possible try and use real life objects to support their learning (spoons, rice, coins etc.)  Do not tell the child the answer but try and support their working out to get to the correct answer. Try and apply the maths to real life situations/examples.  Play the addition and subtraction facts game: Encourage your child to practise addition and subtraction to 20. This will help them derive related facts such as: 3 + 7 = 10                     10 - 7 = 3                   7 = 10 - 3  Then apply these to larger numbers, such as:  30 + 70 = 100      300 + 700 = 1000      3000 + 7000 = 10,000      3,000,000 + 7,000,000 = 10,000,000 Talk about time, refer to the time at the different points in the day or an activity so they become familiar with time.  Ask questions about what the time will be in 2 hours? What would that be in minutes? How many seconds would that be? Here are three simple but effective learning ideas that you can try with your child at home. Dice with decimals - Make ‘×’ ‘÷’ and ‘10’, ‘100’, ‘1000’ cards to place face down in two piles. Roll a dice four times to create a number (e.g. 4258), then insert a decimal point somewhere (e.g. 42.58). Take a card from each pile and do the calculation (e.g. 42.58 ÷ 100 = 0.4258). Play Battleship games - Play Battleships by drawing ships on coordinate grids. Try to sink each other’s ships by guessing their positions using coordinates, such as (1,2). Remember that the first number in the coordinate bracket is on the horizontal x-axis. The second number is on the vertical y-axis. Hit the sales - Sales in shops, catalogues or online are great for working with percentages. For example, in a 20% off sale, if the full price (that is 100%) of an item is £10, how much is the item discounted by (£2) and what will the sale price be (£8)? Website links for further support: https://www.thenational.academy/  - has some great video recordings.  https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Ten-Frame/ https://toytheater.com/category/teacher-tools/virtual-manipulatives/ https://www.topmarks.co.uk/maths-games/hit-the-button https://phet.colorado.edu/en/simulation/arithmetic https://mathsframe.co.uk/en/resources/resource/504/Super-Maths-Bowling-Multiplication https://ttrockstars.com/  (Please ensure you have chosen the correct school when logging in (DA14 4PX), contact your class teacher for any username or password issues.)

Year 6:

Things that they need to be able to know and calculate by the end of the year:

Place value:

In Year 6, children will be expected to read, write, order, compare and round numbers up to 10,000,000 and begin to learn about algebra, ratio and proportion. This includes:

• Using number lines to add and subtract negative numbers.

• Solve problems involving place value, ration, scale factors, and equations expressed.

In Year 6, children will be expected to be able to solve problems, including multi-step word problems, involving adding, taking away, multiplying and dividing with large numbers. This includes:

• choosing efficient methods to solve problems and checking their answer using a different method.

• Round answers to a specified degree of accuracy, for example, to the nearest 10, 20, 50, and so on.

• Exploring the order of operations using brackets

Multiplication and division:

In Year 6, children will be expected to be able to multiply and divide with large numbers using formal written methods including long division. This includes:

• Multiplying four digit numbers by two digit numbers using long multiplication

• Dividing four digit number by two digit number using long division

• Solving multi - step problems using addition, subtraction, multiplication and division choosing which methods to use and explaining why. Fractions:

With fractions try and use as many visual representations/real life representations as possible: A good website to represent and compare fractions - https://mathsframe.co.uk/en/resources/resource/66/itp-fractions

Start each day by asking your child about what they did in the lesson the day before.

Where possible try and use real life objects to support their learning (spoons, rice, coins etc.)

Do not tell the child the answer but try and support their working out to get to the correct answer.

Try and apply the maths to real life situations/examples.

Talk about time, refer to the time at the different points in the day or an activity so they become familiar with time.  Ask questions about what the time will be in 2 hours? What would that be in minutes? How many seconds would that be?

Play the addition and subtraction facts game: Encourage your child to practise addition and subtraction to 20. This will help them derive related facts such as:

3 + 7 = 10                     10 - 7 = 3                   7 = 10 - 3

Then apply these to larger numbers, such as:

30 + 70 = 100      300 + 700 = 1000      3000 + 7000 = 10,000      3,000,000 + 7,000,000 = 10,000,000

### Find an average - Explore the ‘mean’ average in real life. Find a football team’s mean number of goals per match by adding all the goals scored and dividing the total by the number of matches played. Or find the mean number of minutes the school run takes over a week.

Website links for further support:

https://www.thenational.academy/  - has some great video recordings.

https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Ten-Frame/

https://toytheater.com/category/teacher-tools/virtual-manipulatives/

https://www.topmarks.co.uk/maths-games/hit-the-button

https://mathsframe.co.uk/en/resources/resource/504/Super-Maths-Bowling-Multiplication

https://ttrockstars.com/  (Please ensure you have chosen the correct school when logging in (DA14 4PX), contact your class teacher for any username or password issues.)