partitioning homework year 4

Partitioning, Place Value and Rounding

Interactive maths games and and worksheets to support the teaching of partitioning and place value objectives.

Related Worksheets

Parachute number line.

Land on the correct position on the number line. A fun game to develop an understanding of place value.

• Online in HTML5 format

An incredibly versatlie teaching tool. Can be used to explore number patterns, multiples, prime numbers and lots more.

For more addition and subtraction resources click here.

Rounding Shoot Out

Dienes - Identify and Represent Numbers

Choose to either identify the number shown by dienes or represent a given number using dienes. Choose 'Game Mode' and you will be rewarded for correct answers in a penalty shoot out.

Placing Numbers on a Number Line - Tablet Version

23/11/17 - new version added. This version is tablet friendly and can be played directly on any device.

Drag the flag to the correct position on a number line. Lots of choice over level, including whole numbers, negative number and decimals. Can be used to teach place value, approximation skills, and reading varying scales.

Choose one type of number line or for more of a challenge you can select several. Work quickly to get more time, build your score and climb up the leaderboard.

For more resources involving partitioning and place value click here.

Compare Numbers on a Number Line

Compare the numbers on two different number lines and decide which is bigger. A great game to get children thinking about place value and reading varying scales.

Number Line Basketball

Look carefully at the scales of the two number lines and decide which arrow is pointing to the given number. The more correct answers you get, the more shots at the basket.

Rounding - Mini Maths Golf

Round numbers accurately for a steady swing and try and get a hole in one. Play on your own or against a partner. Who can score the most points in your class?

Choose from the following levels:

1. Round numbers up to 100 to the nearest 10 (Y2)

2. Round numbers up to 1000 to the nearest 10 (Y3)

3. Round numbers up to 10,000 to the nearest 10, 100 or 1000 (Y4)

4. Round decimals with one decimal place to the nearest whole number (Y4)

5. Round decimals with two decimal places to the nearest whole number and to one decimal place (Y5)

6.Round decimals with up to three decimal places to the nearest whole, one decimal place or two decimal places (Y6)

Estimating Numbers on a Number Line - Tablet Version

Estimate the number the arrow is pointing to, then calculate the correct answer when you are told your error. A great game to help develop an understanding of place value, reading scales and to practise mental addition and subtraction. There are lots of levels to play; inc. 0 to 10, 0 to 100, 0 to 1000, and levels involving negative numbers and decimals.

Maths Road Hopper - Rounding Numbers

Comparing Numbers using Dienes

Compare the number represented by dienes with those shown in numerals.

Different Ways to Pay

Find different ways to make the same amount of money. Drag the coins into the till to make a given amount. Includes a choice of international currencies.

For more money resources click here.

Interactive Maths Quiz

Choose the obectives you wish to cover and the level (working towards the expected standard, working at the expected standard or greater depth). Results can be printed at the end. The quiz will work on any device, including iPads.

Partitioning (3)

Find 5 ways to partition the same number. Choice of whole numbers and decimals. New version created November 2017 which can be played on any device.

Rounding - tablet version

Round 3-digit or 4-digit numbers to the nearest 10 or 100. Round decimals to the nearest whole number, or to 1 decimal place. HTML5 version (will work on tablets). 

Parking Maths - Rounding Numbers

Maths Maze Monsters - Rounding Numbers

Round the numbers correctly to eat your opponent and steal their points. Play in single player or two player mode. You will need to lock your tablet to portrait mode to play in two player mode.

Snowball Smash

Answer the maths questions and then see how many opponents you can defeat in a snowball fight.

Defend the Tree

Answer the maths questions accurately and then stop the critters from stealing the fruit.

Roman Numerals - Maths Road Hopper

Read the numbers written in Roman Numerals and then cross the road as quickly and safely as you can. 

For more reading Roman numerals games click here.

Marlon's Magical Maths Mission - Rounding Numbers

Marlon must battle the beasts using his understanding of rounding numbers.

Jetpack Mathematics - Roman Numerals

Click your mouse button or tap on a tablet to guide the spaceman to the correct answers.

Super Maths Bowling - Rounding Numbers

Parking Maths - Roman Numerals

Read the numbers written in Roman numerals and park your car in the correct spot.

Mini Maths Motors - Roman Numerals

Read the Roman numerals and steer your car to the correct answer before you run out of fuel.

Archery Arithmetic - Rounding Numbers

Round numbers as quickly as possible and you will get more time to aim your arrow. Play on your own or against a partner. Who can score the most points in your class?

Snowboard Slalom

Use the arrow keys to guide the snowboarder to the correct answer. Can you answer 10 questions before the time runs out? 

There are over a hundred carefully differentiated levels linked to objectives from the new maths curriculum. The game can be used to teach: Multiplication, Addition, Reading Numbers, Subtraction, Fractions of Numbers, Roman Numerals, Rounding Numbers, Division, Converting Fractions to Decimals, Converting Fractions to Percentages, and Simplifying Fractions. A full list of levels is below. 

Place Value Digit Drag

Great as a mental starter when you are teaching place value. Encourages lots of higher order mathematical thinking. Can be extended by asking children to express the general rules that will help them to answer each question.

Drag the digits to make: the biggest possible number, or the 2nd smallest number, or the biggest odd number, or a number which is closest in value to another given number.

Click here for the decimal version of the game.

• Online in Flash format

Tommy's Trek - Rounding Numbers

Round the numbers to a given degree of accuracy. This game will work on any device.

Maths Race - Roman Numerals

Steer your car towards the number which matches the Roman numerals. Works on any device.

Maths Fishing - Roman Numerals

Catch a fish and then answer the rounding questions before they get away. This game is tablet friendly and will work on any device.

Read Roman numerals to 12, 50, 100, 1000 or read years written in Roman numerals.

Match the Wall - Maths Game

Move the block to match the wall. The quicker and more accurately you answer the maths questions, the slower the wall will travel.

Hundreds of maths skills to practise.

Tower of Mathematics - Rounding

Round numbers to a given degree of accuracy.

Basketball Maths

Answer the maths questions quickly and accurately to earn basketballs and then see how many points you can score.

Hundreds of maths skills to choose from with levels involving multiplication, division, addition, subtraction, reading numbers, rounding numbers, reading Roman Numerals, fractions of numbers, simplifying fractions and converting between fractions, decimals and percentages.

Maths Race - Rounding Numbers

Round numbers to the nearest 10, 100 or 1000 or round decimals to the nearest whole, 1 or 2 decimal places.

Rounding - Crystal Crash

Throw your pickaxe at the correct crystal. This game has the following levels (taken from the new maths curricululum):

This game, together with all the other  crystal crash games,   is available as a single iPad or Android app.

Maths Penalty Shoot-out

Answer the questions quickly and accurately to get more penalties.

Rounding - Mini Maths Motors

Archery Arithmetic - Roman Numerals

Read the numbers written in Roman Numerals and then shoot the target. 

Crossroads Chaos

Tap on a car to speed it up and avoid crashing.

Maths Goalie

Answer the maths questions and then see how many shots you can save.

Roman Numerals - Crystal Crash

Match the Roman numerals with the correct numbers.

This game will work on any tablet or computer.

Maths Colour Match

Answer the maths questions then launch the spaceships at their matching colour.

Shoot the UFO with the correct answer and dodge the incoming fire. A fun game to practise a wide range of key mathematical skills.  

There are over a hundred carefully differentiated levels linked to objectives from the new maths curriculum. The game can be used to teach: Multiplication, Addition, Reading Numbers, Subtraction, Fractions of Numbers, Roman Numerals, Rounding Numbers, Division, Converting Fractions to Decimals, Converting Fractions to Percentages, Telling the Time in Words, Recognising Multiples, Factors, Prime, Square and Cube Numbers, and Simplifying Fractions. A full list of levels is below. 

Roman Numerals Dominoes

Match the Roman Numerals with the correct number.

Tower of Mathematics - Roman Numerals

Match the Roman Numerals with the correct numbers to build your tower.

Balancing Scales g and kg

Add weights to either pan until they are balanced. Can be used to teach addition, subtraction, partitioning, and mass, as well as developing an understanding of the equals sign.

Choose from grams, whole kilograms or kilograms with either 1 or 2 decimal places.

For more partitioning resources click here.

Marlon's Magical Maths Mission - Roman Numerals

Marlon must battle the beasts using his understanding of Roman numerals.

1. Read Roman numerals to 12

2. Read Roman numerals to 50

3. Read Roman numerals to 100

4. Read Roman numerals to 1000

5. Recognise years written in Roman numerals

Maths Fishing - Rounding

It has the following levels (taken from the new maths curricululum):

Super Maths Bowling - Roman Numerals

Read the numbers written in Roman numerals and then see if you can get a strike.

Partitioning (2)

Partition numbers in different ways. Choice of whole numbers and decimals. 

Animal Sorting - Maths Game

Answer the maths questions then sort the animals as quickly as you can.

Partitioning (1)

Partition numbers into their simplest forms. Choice of whole numbers and decimals.

Maths Dodge - Roman Numerals

Dodge the wrong answers and collect the correct.

Rounding Answers

Use the calculator to answer a question and then round your answer to the nearest 10, 100, whole number or to 1, 2 or 3 decimal places. The correct answer is then shown on a number line. Play against the clock to see how many points you can score.

Grid Method Multiplication

Multiply partitioned numbers using the grid method. Lots of choice of levels, inculding decimals and money. 

For more multiplication and division resources click here.

This game is now part of the 'Calculations' collection, which includes the following 17 games and resources: Column Addition, Expanded Addition, Expanded Addition - Place Value Counters, Number Bonds(2), Addition - Digit Drag, Missing Symbols, Column Subtraction, Column Subtraction using Place Value Counters, Counting on to find difference on a beadstring, Multiplication Grid Method, Multiplication Written Method, Ratio and Scaling Numbers, Representing Multiplication, Division by Chunking Up, Division by Chunking Down, Formal Written Division - Round Up or Down?, Short Division Writen Formal Method.

The Calculations app is available on Google Play and the App Store.

Expanded Addition

Add the partitioned numbers beginning with the largest. Choice of 2-digit, 3-digit or 4-digit numbers. An important conceptual step before a more formal method of column addition.

ITP Moving Digits

I am remaking the ITPs so that they will work on all modern browsers and tablets. They will remain freely available to all without the need for a subscription.

View full screen in your browser.  This ITP allows you to demonstrate the effect of multiplying and dividing by 10 and 100. By dragging cards from the set of digit cards, different decimal numbers can be displayed. These decimal numbers can be placed in either of the two middle rows. The cards in the first row move when the multiply or divide buttons are selected. The cards will not move if the result is greater than 99 999 or less than 0.01. The cards in the second row do not move in order to highlight the shift in the digits when multiplying or dividing. The ITP can be used to explore, and to encourage children to predict the effect of multiplying and dividing by 10 and 100. The ITP can also be used to demonstrate the effect of repeated multiplication and division by 10.

ITP Place Value

This ITP displays on-screen place value cards to construct and partition three-digit whole numbers. Once the cards are created they can be deleted clicking on the cross in the top left hand corner. By clicking on the number, a card can be dragged around the screen and repositioned. You can have one or two sets of cards on the screen at a time. The value of each place value card is determined using the respective button at the bottom of the screen. Each number on a card can be represented by groups of counters, clicking on the pointer on the card to reveal and hide the counters. The ITP can be used to demonstrate the construction and partitioning of numbers to secure children’s understanding of place value. Displaying two sets of cards you can compare their values and pose questions about their sum and difference. Partitioning the numbers and rearranging them can be use to help children understand how pencil and paper methods of calculation are recorded.

ITP Beadsticks

Partition, and calculate with numbers, using beadsticks.

ITP Number Grid

This ITP has been remade so that it will work in modern browsers. It will remain free to use.

This ITP generates a 100 square. Choose a colour or the grey mask. You can then click on individual cells to hide or highlight them in different colours, and by clicking on the box at the left-hand foot of the grid and using the pointers you can hide or highlight rows and columns. The prime numbers and multiples can also be highlighted. You can change the number of columns from 3 up to 13, the starting number, and its position – either top left corner or bottom left corner of the grid. Choose the mask option to create a temple that can be moved around the grid to hide or highlight particular groups of cells. The template can be rotated using the single arrow button. The ITP can be used to explore different multiples, number sequences and patterns on grids of different sizes. The superimposed masked template can provide practice at adding groups of numbers and enable children to hypotheses about the sums and difference of the numbers. The ITP can develop children’s ability to predict and generalise. Changing the number of columns provides a new grid to test general statements about the relationships between numbers and to look for counter examples.

ITP Decimal Number Line

It generates a number line. Two markers with numbered boxes can be moved along the number line. Depending on the order of the two markers you can show the sum and difference between the two numbers and the calculation represented. You can hide and reveal the numbers in the boxes, which will also hide and reveal the respective numbers in the calculation. The maximum and minimum values on the number lines can be altered and the numbered intervals can be hidden and revealed.

Clicking on the hidden buttons below the number line creates an interval displayed as a hidden number line. Clicking on the circular ‘hide/show’ button will reveal the ten equal divisions between the two selected numbers of the interval. The square ‘show numbers’ button will reveal or hide the numbers above the divisions in the interval. The ITP can be used to refine children’s understanding of the decimal number system and to practise and develop their estimation skills. A marker can be placed at different points on a number line.

Mental-Arithmetic.co.uk

Free printable pdf mental arithmetic worksheets for children aged 4-11, 4-digit partioning worksheets.

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Partitioning Homework Extension Year 4 Place Value

Step 6: Partitioning Homework Extension Year 4 Autumn Block 1

Partitioning Homework Extension provides additional questions which can be used as homework or an in-class extension for the Year 4 Partitioning Resource Pack . These are differentiated for Developing, Expected and Greater Depth.

More resources for Autumn Block 1 Step 6 .

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What's included in the pack?

This pack includes:

• Partitioning Homework Extension with answers for Year 4 Autumn Block 1.

National Curriculum Objectives

Mathematics Year 4: (4N4a)  Identify, represent and estimate numbers using different representations

Mathematics Year 4: (4N6)  Solve number and practical problems that involve 4N1 - 4N5 and with increasingly large positive numbers

Differentiation:

Questions 1, 4 and 7 (Varied Fluency) Developing Identify which representation shows incorrect partitioning of a 4-digit number. Includes a variety of pictorial representations where each number has been partitioned once. Some use of unconventional partitioning. Pictorial representations are grouped together in place value order. Expected Identify which representation shows incorrect partitioning of a 4-digit number. Includes a variety of pictorial representations with some instances of multiple examples of unconventional partitioning within a number. Greater Depth Identify which representation shows incorrect partitioning of a 4-digit number. Uses some pictorial representations including multiple examples of unconventional partitioning within a number where the parts are not given in place value order.

Questions 2, 5 and 8 (Varied Fluency) Developing Match the representations to the corresponding 4-digit numbers to find the odd one out. Includes a variety of pictorial representations where each number has been partitioned once. Some use of unconventional partitioning. Expected Match the representations to the corresponding 4-digit numbers to find the odd one out. Includes a variety of pictorial representations with some instances of multiple examples of unconventional partitioning within a number. Greater Depth Match the representations to the corresponding 4-digit numbers to find the odd one out. Some pictorial representations used. Multiple examples of unconventional partitioning within a number where the parts are not given in place value order.

Questions 3, 6 and 9 ( Reasoning and Problem Solving ) Developing Explain whether a statement is true or false by partitioning 4-digit numbers. Includes pictorial representations where each number has been partitioned once. Some use of unconventional partitioning. Expected Explain whether a statement is true or false by partitioning 4-digit numbers. Includes written representations with examples of unconventional partitioning within a number. Greater Depth Explain whether a statement is true or false by partitioning 4-digit numbers. Multiple examples of unconventional partitioning used within a number where the parts are not given in place value order.

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15 Partitioning Games that Kids (and Teachers) Love

• June 10, 2017
• Tierney Kennedy

Do you run out of ideas to make Partitioning fun? Here are 15 of my favourite games to play with kids.

We would love to add more too, so please comment with your own ideas and share the article with your friends!

1.  Coloured counter toss:

This game can be played individually or in a group. Preparation: Use spray paint, a permanent marker or even just stickers to colour one side of some counters. To play:   Begin with a known number of counters.  Kids shake the counters in a cup and tip them out.  How many black ones and how many red ones are there?  Draw what you see and write the numbers on your drawing.  Can you find all the ways to make that number? Extension:   To add complexity, put star stickers on some counters or add a third colour.

2.  Hide and seek counters:

This is a game for two or more children. To play:   Begin with a known number of counters (teddy bear ones are great).  One child hides some of the counters under a cup or bowl.  The other children look at the remaining counters and try to figure out how many are hiding.  Everyone draws a circle to be the bowl/cup, with the correct number of counters beside the circle and their guess at how many are hiding inside the circle.  Lift the bowl to check! Extension: play with two cups, both having the same amount hidden.

3.  Target games:

This game can be played individually or in a small group. Preparation:   You will need a hoop or other target and something to throw (we suggest bean bags). To play:   Children take turns throwing a given number of items into the hoop.  How many land in/out? Draw them, then check. Extension: Use a target with different sections and use different numbers of points for hitting particular parts of the target.  Add up the totals each time.

4.  Skittles:

5.  “Cool high fives” and partitioning fingers:

To play:   Instead of giving kids high fives, we do “cool high fives” by partitioning five fingers onto two hands!  We also love making any number between 5 and 15 with a partner, using some of the fingers on two, three or four hands.  This is a great game to play outside the library while waiting for the teacher-librarian to arrive. Extension: Some numbers are banned.  For example, make 6 fingers using 3 hands, but without using the number 2.

6.  Make a group with a particular number of feet:

This game can be played by the whole class, but it is best done in an area with lots of space. To play:   The teacher calls out, “Make a group with 7 feet!”  Children have to form groups with that many feet, including having some of them standing on only one foot.  The aim is to have everyone in the class included in a group. Extension:   The teacher finds children who have missed out on a group and takes them to a group with the instruction, “This person has to be included but you still have to have 7 feet.”

7.  Barrier games:

This game is played in pairs. To play:  Pairs of children sit opposite each other, with a barrier between them (book standing upright, piece of card folded to stand up).  The barrier is used to separate a given number of blocks to either side.  Using the blocks that they can see on their own side, children guess how many their partner has.

8.  “Snap” the blocks into parts:

This game is played individually.  Variations include using counters, match sticks or beads. To play:   Form a given number of unifix blocks into a stick and “snap” it into two parts.  Draw the parts.  How many different combinations can you find?

9.  Lego: covering with blocks:

This can be played as an organised game, but tends to best happen naturally when the teacher simply asks questions while playing with Lego. To play: simply ask, “Which blocks could we use to cover this 12 block?  What else do I need” Extension:  How many dots are hidden under this block?

10.  Using two dice to make an amount:

This can be done as an individual activity or in pairs. To play:   Use two dice to make a target number, then draw them. Extension:  The two dice can be used for either addition or subtraction.  Use 10 sided dice.

11.  Dominoes to “make ten”:

This game is played in small groups.  It is particularly great because it is not competitive and encourages cooperation. Preparation:  You will need to make your own dominoes, or simply buy pre-made plastic cards here . To play:   Children take it in turns to join on a dominoe card that “makes ten”, rather than joining on the same amount.  The aim is to connect all of the cards as a group, and to have them all fit on the table!  Children are encouraged to help each other. Extension:   Make other amounts, including using subtraction to make amounts smaller than 10.

12.  Dice shaker to get as close as possible to a total:

This game is played individually or in pairs, but can be played as a whole class. To play:   Choose a target number.  Shake the dice shaker, and use the numbers to try and get as close as possible to the target number.  I encourage kids to use any operation that they want and as many of the numbers as they want, to build fluency. Extension:   Any one of the numbers can be used twice to get to the total.

12.  “Go fish” to a total:

14.  Pairs of cards that make a total:

This game is a challenge for two or three children. Preparation:  You will need single digit or partitioning cards, which can be purchased here . To play:   Use all of the cards in the pack to match pairs that make a particular total.  Both addition and subtraction can be used.

15.  Memory with partitioning:

This game can be played by 3-4 children, but can also be played individually. To play:   Set the cards out, face down and decide on a target number.  Take it in turns to turn over two cards at a time.  A pair is formed when the cards add or subtract to make the total. Extension:   Three cards are used to form a set that makes the target number.

If you liked these ideas, you might like to:

• Check out our online resources for the book “Fixing Misconceptions in Addition and Subtraction”
• Download our free flip book for teaching addition and subtraction
• Watch our short video on our Top 5 Diagnostic Tasks in Early Primary

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Partitioning numbers in different ways Year 4 Pictorial

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

20 September 2017

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This is perfect. Easily adaptable to stretch GD as well.

Empty reply does not make any sense for the end user

Just what I was looking for! Love the Base 10 and PV counters. Thanks

sarahsavage02

Time saving resource. Thanks

georgehadwen

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