This investigation looks into estimating the size of a large population of objects by taking samples and applying some basic mathematics. It encourages sharing of data, refining methods of collection of the data and discussions about the accuracy and limitations of the method used. Jacob’s Method of counting large numbers of objects involves dividing a given area into equal size areas. Estimate (by counting) the population of one square then multiply this by the number of squares in the grid. What happens if you use different size grids ? How do the estimates compare ? What happens if you take all the estimates in the class and find the range and mean ? How close are they all to the real number ? These and many more questions are laid out on the worksheet provided along with a number of prepared pictures with & without grids for printing or viewing on a computer. Content Teachers Notes An overview of Jacob’s Method and a guide to the Worksheets Estimation Worksheet A guide for the students on how to use Jacob’s Method and record the data. A list of questions for discussion. Estimation Crowds Designed to be used as a starter with the student’s worksheet, it contains 2 crowds of different densities. Pupils start with guessing the size of each crowd, then estimate with a 6 square grid & 24 square grid using Jacob’s Method. **Estimation Samples ** 14 pictures to choose from: crowds, stars, trees, bricks, flowers, balloons, birds in flight and more. Pupils estimate with no grid, a 6 square grid & 24 square grid, and are encouraged to experiment further with other grid sizes of their own. Estimation Sample 3 7 more pictures to choose from, but this time the distribution of the populations are not so even or regular, so its more challenging and opens up more questions. They include a football crowd, bubbles, two other crowds, a shoal of fish and a herd of wilderbeast. In all, lots of examples to practice with & food for lively discussion and critical thinking using basic math and could be taken further into investigating bias in crowd counting. Note: All the documents are printable. To view the sample populations with the grids on a computer you will need the Adobe Acrobat Reader on a PC or Mac.

This set of resources focuses on the connection between fractions with denominators ten or one hundred and decimals using visual aids, in particular the number line. These scaffolded (almost ) unlimited worksheets will provide you with enough differentiated material so that you can set the pace of development of understanding most suitable for your students. The Worksheets are organized as follows: Set 1- Connecting a square grid, tenths and decimal notation in a place value table Set 2 - Decimals and fractions (1/10ths) on a number line - simple 10 divisions Set 3 - Decimals on a number line (simple 10 divisions) Set 4 - Decimals on a number line spread across 2 units - simple 10 divisions Set 5- Connecting a square grid, tenths and decimal notation in a place value table Set 6 - Decimals and fractions (1/100ths) on a number line - 100 divisions Set 7 - Decimals on a number line - 100 divisions Set 8 - Estimate decimals ( 1/100ths) on a number line with 10 divisions Set 9 - Writing fractions in expanded form then converting to decimals Set 10 - Writing decimals in expanded form then converting to fractions Set 11 - Numerical worksheets converting between decimals and fractions Set 12 & 13 - Decimal measurements - converting between meters and centimeters (Almost) Unlimited worksheets ? Yes. At the click of a button all numbers (and visual supports) are randomized, creating a new worksheet with different numbers …* as many times as you want*. You can individualize the worksheets to the level you want, making one worksheet for the whole class to a different one for each student (and all stops in between). It also means a level can be repeated as many times as needed throughout the year to consolidate the required skills and knowledge. No-Prep Worksheets These are straightforward no-prep worksheets that require no extra work. Simply CLICK-PRINT AND GO. This makes them ideal to have printed and ready for a replacement teacher or end of lesson activity if needed. Answers are automatically generated every time. Download the FREEBIE sampler page “Decimals on the Number Line” now. Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.

This pack of resources covers the Math topics of the Greatest (or Highest) Common Factor (GCF) and the Lowest Common Multiple (LCM). Whilst this may seem a small disconnected topic it is actually packed with a lot of Math that includes practice with multiplication and division, factors, factor pairs, prime numbers and prime factors, the distributive property of multiplication, entering numbers into simple numerical formulae & writing numbers with exponents, all of which are excellent preparation for the algebra work they will be facing later on. As such this resource of 9 Sets of worksheets could be easily spread throughout the year to build up the various competences and complement other topics in your syllabus. The core method used in both is listing and comparing so students get lots of great practice with their multiplication (and division). However additional methods have been included that combine with knowledge of other areas in Math and show the connection between the GCF & LCM. Set 1: Factor Pairs Set 2: Find the Greatest Common Factor of 2 Numbers Set 3: Find the Greatest Common Factor of 3 Numbers Set 4: Prime Factorization Set 5: Find the Greatest Common Factor (GCF) using Prime Factorization Set 6: Change an Addition to Multiplication with the GCF Set 7: Find the Lowest Common Multiple (LCM) of 2 Numbers Set 8 Find the Lowest Common Multiple (LCM) of 2 Numbers using Prime Factorization Set 9: Find the LCM of 2 Numbers using the HCF The worksheets are, as always in Jeff’s Notebooks, (almost unlimited), and differentiated. Why have multiple ranges of numbers for each Set ? This offers the possibility for the student to initially focus on the process and aim of the specific method outlined rather than their skills with multiplication or division. However when ready they can move on to a more challenging set of questions that brings these skills into play. So, how many worksheets are there exactly ? Almost Unlimited. At the click of a button all numbers are randomized, so you can create as many different worksheets as you need for classwork, homework, revision, preparing for assessment, fillers etc and the numbers will change every time. These are straightforward no-prep worksheets that require no extra work. Simply CLICK-PRINT AND GO. This makes them ideal to have printed and ready for a replacement teacher if needed. Teachers Guide This includes notes on the most popular methods used. Answers are automatically generated every time. Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.

Year 4 programme of study -Number – multiplication and division - recall multiplication and division facts for multiplication tables up to 12 × 12 A no frills set of printable worksheets to practice multiplication and division or speedy recall of multiplying facts. These are ideal as an end of lesson activity to keep up their multiplication skills, or as an assessment to check the level of their recall of multiplication and division within three distinct ranges. Most curricula around the world require that students know from memory all the products of two 1-digit numbers by around the 3rd grade and this is the ideal resource to help this along as it also includes division and has an extra level to challenge those students who are ready. Up to 50 - up to 7 x 7 Up to 100 - up to 10 x 10 Challenge - Up to 144 - up to 12 x 12 There are 3 Sets of worksheets to choose from, each set having the 3 ranges of numbers noted above: 20 questions on multiplication 20 questions on division 20 question on a mix of multiplication and division Each worksheet has a mix of 20 statements. Your students have to decide whether a statement is right or wrong, and if wrong, put in the right answer. How many worksheets are there in total? Almost Unlimited. At the click of a button all numbers are randomized, so you can create as many different worksheets as you need for classwork, homework, preparing for assessment, lots more practice, etc at any and all of the 3 ranges of numbers. No-Prep Worksheets These are straightforward no-prep worksheets that require no extra work. Simply CLICK-PRINT AND GO. This makes them ideal to have printed and ready for a replacement teacher if needed. Answers are automatically generated every time. Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.

This is a large set of differentiated Worksheets providing an (almost) endless source of practicing column addition and subtraction of numbers from 5-Digit to 8-Digit using the formal written method. The first set of worksheets, adding & subtracting a 4-digit number from a 5-digit number, can serve as a useful interim step between adding & subtracting 4-digit numbers and adding & subtracting 5-digit numbers. It helps bridge the gap between these two levels of difficulty and provides a valuable transition in the learning process. The Worksheet Sets are as follows Add a 4- and 5-Digit number & subtract a 4-Digit from a 5-Digit number Add & subtract two 5-Digit numbers Add three 5-Digit numbers Add four 5-Digit numbers Add & subtract two 6-Digit numbers Add three 6-Digit numbers Add four 6-Digit numbers Add & subtract two 7-Digit numbers Add three 7-Digit numbers Add four 7-Digit numbers Add mix (3) of 5-, 6- 7- Digit numbers Add & subtract two 8-Digit numbers Add three 8-Digit numbers Add four 8-Digit numbers Add mix (3) of 6- 7- 8- Digit numbers There are 15 sets of addition and 5 sets of subtraction that build up from smaller to larger numbers and with addition going from adding together 2 numbers up to 4 numbers, it will enable you to set the level of practice that is right for your students to build accuracy, speed and confidence over whatever time frame is necessary. Layout of Questions For all of the above, the questions are presented in 2 layouts: • The standard algorithm, laid out vertically with the questions and answer lines prepared. • The questions are presented in the horizontal format so that your students have to properly align the digits based on their place values, which is essential for accurate addition & subtraction. This practice reinforces the concept of place value and helps students develop a better understanding of how digits in different positions represent different values. ** This format could also be useful for practicing addition with any informal methods that are part of your syllabus or even estimation ** Number Formats For these resources you have a choice of 3 different number formats which will cover most educators’ needs around the world. Your students will come across at least 2 of the formats within their time at school in other curriculum areas • A comma separator - for the USA & UK e.g. 23,334,290 • A space separator - Canada, Australia, many European countries, and the International System of Units (SI) e.g. 23 334 290 • No separator - used in scientific writings, page numbers, years & addresses etc. e.g. 23334290 How many Worksheets in each set? Almost unlimited. At the click of a button all numbers are randomized, and will therefore change every time so you can create as many different worksheets for classwork, homework, revision, preparing for assessment, review before moving on to 5 or more -digits, etc. Answers are automatically generated every time.

This comprehensive range of differentiated worksheets on calculating the area and perimeter of rectangles are organized into sets, each focusing on a specific strategy. Starting with the foundational “Area 1” set, students begin by counting squares to develop an intuitive understanding of area. As they progress, they’ll start to use the formula for area with & without the visual of rectangles divided into squares. “Perimeter” progresses from simple addition to the application of formulas with and without visual aids. The “Challenge Set” requires students to bring together their knowledge of area and perimeter, & the connection between multiplication and division as inverse operations to solve multi-step problems. Worksheet Sets Area 1 - Starting off with just counting squares Area 2 - Using the formula width x length with squares visible Area 3 - Extending Area 2 with larger rectangles - squares visible Area 4 - Using the formula of length x width with dimensions Area 5 - 2 rectangles simply connected with a common width apply the formula total area = width x length1 + width x length2 - squares visible Area 6 - 2 rectangles simply connected with a common width - apply the formula total area = width (length1 + length2) - squares visible Area 7 - 2 rectangles simply connected with a common side - squares not visible - dimensions of the sides given. Perimeter 1 - Find the perimeter by adding all the sides together - squares visible Perimeter 2 - Use the formula 2 x width + 2 x length - squares visible Perimeter 3 - Use the formula 2(width + length) - Squares visible Perimeter 4 - Dimensions given, squares not visible - dimensions given Challenge - 2 Step problems - Either the perimeter or area is given plus the length of one side. Given these clues student must find the length of the unknown side then from this the unknown area or perimeter choose metric or United States customary units How many worksheets are there in total ? Lots and lots … At the click of a button numbers are randomised, so the questions change every time which allows you to create new worksheets at the same level for extra practice or revision or even give groups of pupils in your class different sets of questions again all at the same level. These are straightforward no-prep worksheets that require no extra work. Simply CLICK-PRINT AND GO ideal to have printed and ready for a replacement teacher if needed. Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers. For worksheets on area and perimeter of rectilinear shapes (2 or more non-overlapping rectangles) go to https://www.tes.com/teaching-resource/resource-13067464)

Year 4 programme of study -Number – multiplication and division - recall multiplication and division facts for multiplication tables up to 12 × 12. Building fluency with multiplication and division requires regular practice ideally with differentiated material so that you can set the appropriate level of work until your pupils are ready to move on to a more demanding level. This is provided here. Worksheets Multiplication - 4 levels up to 5 x 5 up to 5 x 10 up to 10 x 10 Challenge - up to 12 x 12 Division - 3 levels divisors: 2 to 8, quotient to 48 divisors: 5 to 10, quotient to 90 Challenge - divisors: 6 to 12, quotient to 132 Every worksheet has 4 squares. You can choose to create all four ar one of the levels outlined above, or set up a mix of levels. Whichever you choose, you have the opportunity to create a new worksheet either at the same level as before if needed, or take it up a level for 1,2,3 or 4 of the squares which includes a challenge level for both multiplication and division taking the questions to 144. How many worksheets are there ? Almost unlimited. At the click of a button all numbers are randomized, so you can create as many different worksheets for classwork, homework, review, end of lesson activity, or just simply keep practicing throughout the whole year to keep the skill alive. No-Prep Worksheets These are straightforward no-prep worksheets that require no extra work. Simply CLICK-PRINT AND GO. This makes them ideal to have printed and ready for a replacement teacher if needed. Answers are automatically generated every time. Teaching Resources Designed for whole class teaching with an Interactive Whiteboard or on a computer for one to one tuition with instant feedback to help introduce the content of the worksheets. As with the worksheets numbers can be randomized giving you almost unlimited examples to work with. Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.

Year 4 programme of study -Number – multiplication and division - recall multiplication and division facts for multiplication tables up to 12 × 12 A straightforward set of printable worksheets to practice multiplication and division or speedy recall of multiplying facts. These are ideal as an end of lesson activity to keep up their multiplication and division skills, or as an assessment to check the level of their recall within three distinct ranges. Most curricula around the world require that students know from memory all the products of two 1-digit numbers by around the 3rd grade and this is the ideal resource to help this along as it also includes division and has an extra level to challenge. Every worksheet has 20 (multiplication or division statements) simple equations with one element missing. There are 5 Sets of worksheets to choose from: Multiplication Division A mix of multiplication and division Multiplication with the questions paired showing its commutative property. A mix of multiplication and division with questions paired to show the link between multiplication and division For each set you can choose from 5 ranges of numbers Up to 50 Up to 100 - Level 1 - products (multiplication) and dividends (division) spread out from 9 to 100 Up to 100 - Level 2 - mainly larger products and dividends to 100 Up to 144 - Level 1 - products and dividends between spread out from 9 to 144 Up to 144 - Level 2 - mainly larger products and dividends to 144 How many worksheets are there in total? Almost Unlimited. At the click of a button all numbers are randomized, so you can create as many different worksheets as you need for classwork, homework, preparing for assessment, lots more practice, etc at any and all of the 3 ranges of numbers. No-Prep Worksheets These are simple no-prep worksheets that require no extra work. Simply CLICK-PRINT AND GO. This makes them ideal to have printed and ready for a replacement teacher if needed. Answers are automatically generated every time. Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.

This math resource is designed for pupils to practice placing the decimal point when multiplying two decimal numbers and is good preparation for the work of “Multiplying Decimals with the Standard Algorithm.” You will have 5 levels of Worksheets for pupils to practice whatever method you have taught them with the questions set out horizontally AND vertically. In the first 4 sets of worksheets, the questions are presented in such a way that pupils can see the progression from the multiplier being a whole number, then 10ths, then 100ths. The idea behind this is that at the same time learning the method for placing the decimal point they get the opportunity to see any patterns that might emerge in the numbers produced. Set 1 - Multiplicand - Units 5 x 3 5 x 0.3 5 x 0.03 Set 2 - Multiplicand - Tens 20 x 6 20 x 0.6 20 x 0.06 Set 3 - Multiplicand - Tenths 0.7 x 9 0.7 x 0.9 0.7 x 0.09 Set 4 - Multiplicand - Hundredths 0.07 x 6 0.07 x 0.6 0.07 x 0.06 Set 5 is more of a challenge. Questions are laid out in a random order, so for example one question may be: 0.7 x 0.05 7 x 0.5 0.005 x 5 How many worksheets are in each set ? (almost) Unlimited. At the click of a button all numbers are randomised, so you can create as many different worksheets as you need for classwork, homework, revision, preparing for assessment, fillers etc and the numbers will change every time. Answers are automatically generated every time a worksheet is created. Note: These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.

Year 4 programme of study -Number – multiplication and division - recall multiplication and division facts for multiplication tables up to 12 × 12 This is a no frills set of (almost) unlimited printable worksheets to practice multiplication and division. These are ideal as an end of lesson activity for pupils to keep up their multiplication & division skills, or to use as an assessment to check the level of their recall within three distinct ranges of numbers. Most curricula around the world require that students know from memory all the products of two 1-digit numbers and this is the ideal resource to help this along as it also includes division and has an extra level to challenge those students who are ready. Up to 50 Up to 100 - Levels 1 & 2 Up to 144 - Levels 1 & 2 Levels 1 has a spread of questions with low and high numbers, whilst at Level 2 the numbers tend to be higher This will give you the opportunity to differentiate from the very start, or setting the level of work for the whole class or individual students as needed. There are 3 Sets of worksheets to choose from, each set having the 3 ranges of numbers noted above: 20 questions on multiplication 20 questions on division 20 question on a mix of multiplication and division Each worksheet has 20 questions. Your students are given a choice of 4 possible answers and have to choose one of them. (Almost) Unlimited Worksheets? At the click of a button all numbers are randomized, and will therefore change every time so you can create as many different worksheets for classwork, homework, review, preparing for assessments, or just simply practice at any time to keep the skill alive throughout the whole year. You could also use a worksheet to explain how to complete the questions to your class as the worksheet you show them will be different from the actual worksheet of your students. No-Prep Worksheets These are straightforward no-prep worksheets that require no extra work. Simply CLICK-PRINT AND GO. This makes them ideal to have printed and ready for a replacement teacher if needed. Answers are automatically generated every time. Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.

Having a range of visual strategies is important when introducing division. Here you will have a choice of using arrays or equal groupings. Dividing with Arrays There are 6 Sets of Worksheets covering 3 ranges of numbers Set 1 & 2: Dividends are between 6 and 25 Set 3 & 4: Dividends are between 10 and 42 Set 5 & 6: Dividends are between 12 and 49 Sets 1,3 & 5: The total number of objects is given. Students have to find the number of rows, number of objects in each row and write the division equation. Sets 2,4 & 6: Students have to also count the total number of objects Making Arrays Students are given a page of division equations and from this they must create an array. There are 2 Sets of Worksheets Set 1: The dividend is between 4 and 42 Set 2: The dividend is between 20 and 80 This is really the reverse process to the previous set of Worksheets on Multiplying with Arrays. Division with Equal Groups 8 Sets of Worksheets 4 Sets: Dividends are between 6 and 25 4 Sets: Dividends are between 20 and 50 Within each set of 4, objects are bundled together with the equal number of objects in each group. Further differentiation includes being How many worksheets are in each set ? Lots and lots … At the click of a button, located at the bottom of each page, the pictures are randomised, so the questions change every time which allows you to create new worksheets at the same level for extra practice or revision throughout the year or even give groups of pupils in your class different sets of questions again all at the same level. The multiple levels of worksheets means that you can differentiate from the very start and have the freedom to set the pace of work that you deem is best for each student. No-Prep Worksheets These are straightforward no-prep worksheets that require no extra work. Simply CLICK-PRINT AND GO. This makes them ideal to have printed and ready for a replacement teacher if needed. Answers are automatically generated every time. Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.

Year 6 programme of study: Ratio and proportion: Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts This resource introduces the concept of ratio, starting with sharing a given quantity using the visual support of tape diagrams (also called the bar model), then moving on to word based problems. Worksheets with visual support Tape diagrams (or bar models) allow students to see the relationships between quantities in a simple graphical format. This visual aid helps students understand the structure of the problem and the relationships between the parts to be shared and how the relationships between quantities change when the ratio changes. They also help to develop a systematic approach to solving ratio problems. Worksheet Sets 1 to 3 The initial quantity and the ratio for sharing are given. Students must find the value of one unit of sharing, color in the tape diagram accordingly, then find the size of each sharedpart of the original quantity. You have a choice of 3 ranges of numbers: Level 1: Under 100 Level 2: to 1000 in multiples of 10 Level 3: to 1000 This gives you the choice of starting with small numbers and focusing on the ratio calculations, then later use the worksheets with larger numbers to bring in extra practice with the 4 operations. Worksheet Sets 4 to 6 A further set of challenging Worksheets with the visual aid contain questions giving the ratio & one of the final answers with the aim to find the initial quantity. As with Worksheets Sets 1-3 you have a choice of 3 ranges of numbers to work with. Worksheet Sets 7 to 9 These have a mix of the formats from Sets 1 to 3 and 4 to 6, with the 3 ranges of numbers, and the additional task of determining the width of the tape diagrams before coloring them in according to the ratio of the parts. Word Problems on Ratio Worksheet Sets The two Sets contain a mix of questions including sharing a given quantity; given a share and the ratio, find the original quantity etc as outlined above, (but now without the visual support), plus finding the ratio of two quantities in their simplest form (equivalence of ratios). The quantities in Set 1 are 1 & 2-Digit numbers, whilst in Set 2 range quantities are 2 & 3-Digit numbers. How many worksheets are there in total ? Virtually unlimited … There are 8 Sets, BUT, at the click of a button numbers are randomised, so the questions change which allows you to create new worksheets at the any level for extra practice or revision throughout the year or even give groups of pupils within your class different sets of questions. Answers are automatically generated every time. Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers. Australian Syllabus ACMEM065 - demonstrate an understanding of the elementary ideas and notation of ratio ACMEM069 - divide a quantity in a given ratio

Year 5 programme of study -Number – addition and subtraction; add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction) An almost endless resource of differentiated sets of worksheets providing your students with lots of practice with addition and subtraction of 5-Digit numbers using the standard algorithm. The first set, adding & subtracting a 4-digit number from a 5-digit number, can serve as a useful interim step between adding & subtracting 4-digit numbers and adding & subtracting 5-digit numbers. It provides a valuable transition in the learning process. The Worksheet Sets Addition Add a 4- and 5-Digit number Add two 5-Digit numbers Add three 5-Digit numbers Add four 5-Digit numbers Subtraction Subtract a 4-Digit from a 5-Digit number Subtract two 5-Digit numbers Presentation of Questions For all of the above, the questions are presented in 2 layouts: • The standard algorithm, laid out vertically with the questions and answer lines prepared. • The questions are presented in the horizontal format so that your students have to properly align the digits based on their place values, which is essential for accurate addition & subtraction. This practice reinforces the concept of place value and helps students develop a better understanding of how digits in different positions represent different values. ** This format could also be useful for practicing addition with any informal methods that are part of your syllabus or even estimation ** Number Formats You have a choice of 3 different number formats which will cover most educators’ needs around the world. • A comma separator - for the USA & UK e.g. 23,334,290 • A space separator - Canada, Australia, many European countries, and the International System of Units (SI) e.g. 23 334 290 • No separator - used in scientific writings, page numbers, years & addresses etc. e.g. 23334290 Almost Unlimited Worksheets Almost unlimited. At the click of a button all numbers are randomized, and will therefore change every time so you can create as many different worksheets for classwork, homework, revision, preparing for assessment etc. Answers are automatically generated every time. No-Prep Worksheets These are straightforward no-prep worksheets that require no extra work. Simply CLICK-PRINT AND GO. This makes them ideal to have printed and ready for a replacement teacher if needed. Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.

YEAR 4 - Number – addition and subtraction - add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate This is a no frills set of differentiated Worksheets providing an (almost) endless source of practicing column addition and subtraction of 4-Digit numbers using the standard algorithm. The first set of worksheets, adding & subtracting a 3-digit number from a 4-digit number, can serve as a useful interim step between adding & subtracting 3-digit numbers and adding & subtracting 4-digit numbers. It helps bridge the gap between these two levels of difficulty and provides a valuable transition in the learning process. The Worksheet Sets are as follows Addition •Add a 3-Digit and a 4-Digit number •Add two 4-Digit numbers •Add a 2-Digit, 3-Digit and 4-Digit numbers •Add three 4-Digit numbers •Add four numbers – a mix of 2-Digit, 3-Digit and 4-Digit numbers •Add four 4-Digit numbers Subtraction •Subtract a 3-Digit number from a 4-Digit number •Subtraction with two 4-Digit numbers Layout of Questions For all of the above, the questions are presented in 2 layouts: • The standard algorithm, laid out vertically with the questions and answer lines prepared. • The questions are presented in the horizontal format so that your students have to properly align the digits based on their place values, which is essential for accurate addition & subtraction. This practice reinforces the concept of place value and helps students develop a better understanding of how digits in different positions represent different values. ** This format could also be useful for practicing addition with any informal methods that are part of your syllabus or even estimation ** Number Formats For these resources you have a choice of 3 different number formats which will cover most educators’ needs around the world. • A comma separator - for the USA & UK e.g. 23,334,290 • A space separator - Canada, Australia, many European countries, and the International System of Units (SI) e.g. 23 334 290 • No separator - used in scientific writings, page numbers, years & addresses etc. e.g. 23334290 How many Worksheets in each set? Almost unlimited. At the click of a button all numbers are randomized, and will therefore change every time so you can create as many different worksheets for classwork, homework, revision, preparing for assessment, review before moving on to 5 or more -digits, etc. Answers are automatically generated every time. No-Prep Worksheets These are straightforward no-prep worksheets that require no extra work. Simply CLICK-PRINT AND GO. This makes them ideal to have printed and ready for a replacement teacher if needed. Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.

Skip counting is part of the Math Curriculum almost everywhere in the world starting in Kindergarten and going up to Year 3. However the amount being skipped, the range of numbers, and whether it includes backward as well as forward skipping varies. Whatever your syllabus demands, why not extend beyond the limits set and have at your fingertips a wide variety of choices for your students to practice with and be challenged by ? This resource does just that. You have a choice of : Skip counting by 2s, 3s, 4s, 5s, 6s, 7s, 8s, 9s or 10s with ranges of numbers 1 to100 (sometimes 120) , to 500 to 1000 with sequences starting from zero (for range 1 to 100) a multiple of the skipping number a random number This means for example that for Skip counting with 7s, you have 6 choices: range 1 to 100 starting at zero or a random number range to 500 starting with a multiple of 7 range to 1000 starting with a multiple of 7 or a random number … and this repeats for every number to 10. Skip counting helps students recognize patterns in numbers and develop good mental math skills. It exercises number sense and can be useful when counting objects quickly, in that instead of counting objects individually they can be bundled together in groups which helps to speed up the process. Multiplication is often introduced through repeated addition and division through repeated subtraction for which skip counting is excellent preparation. How many Sets are there in total ? 57. The last 3 are Challenge Worksheets where the skipping numbers are mixed up. How many worksheets are in each set ? Almost unlimited. At the click of a button all numbers are randomised, so the questions change every time . Answers are automatically generated. The Teaching Pages, designed for the Interactive Whiteboard for whole class learning follow the same pattern as the Worksheets, and like the Worksheets the numbers can be randomised at the click of a button which means there are lots of examples you can play with. The Teaching pages focus on skipping with 2s, 5s and 10s. Note This resource works with the official Adobe Acrobat Reader on Windows or Mac computers.

Year 4 programme of study- Measurement- measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres find the area of rectilinear shapes by counting squares This math resource could also be called finding the area and perimeter of irregular shapes, polygons or compound rectangles. All the figures are composed of 2 or 3 non-overlapping rectangles. This is a natural follow on from the worksheets of Area and Perimeter of Rectangles In each shape there will be one or more side that is unknown and students will have to find its value, either by counting in the case where the figures are on a grid, or calculating where lengths are given, in order to complete the area or perimeter calculation. To find the area, students must first break down the shape into rectangles, and by either counting squares, using the formula for area or perimeter of a rectangle, get to the final answer. There are 6 Sets of Differentiated Worksheets Sets 1 to 4 are made up of 2 non-overlapping rectangles Set 1: Introduction - Find the total area of the shapes shown on a grid, each shape divided into 2 rectangles. Set 2: Find the area and perimeter of the shapes shown on a grid. Students must now divide the shape into 2 rectangles and add them to find the area. Set 3: Find the area of rectangles with a rectangular space inside shown on a grid - subtract one from the other to find the shaded area. These are not overlapping rectangles but show a situation where instead of adding , areas must now be subtracted. Set 4: Find the area and perimeter. No grid. Measurements are given with one or two of them missing. Sets 5 & 6 are made up of 3 non-overlapping rectangles Set 5: Find the area and perimeter of the shapes shown on a grid. Students must now divide the shape into 3 rectangles and add them to find the total area. Set 6: Find the area and perimeter. No grid. Measurements are given with one or two of them missing. Students must now divide the shape into 3 rectangles and add them to find the total area. How many worksheets are there in total ? Lots and lots … at the click of a button the pictures are randomised, which allows you to create new worksheets at the same level for extra practice, revision etc. or even give individuals or groups of pupils in your class different sets of questions. No-Prep Worksheets These are straightforward no-prep worksheets that require no extra work. Simply CLICK-PRINT AND GO. This makes them idea Answers are automatically generated every time you create a new worksheet. These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.

UK Mathematics Program of Study Key Stage 2 Y4: Round decimals with one decimal place to the nearest whole number. Y5: Round decimals with two decimal places to the nearest whole number and to one decimal place. Y6: Develop skills of rounding, rounding answers to a specified degree of accuracy. This set of resources is ideal for introducing and developing the skills for rounding decimals to 1 decimal place, 2 decimal places and the nearest whole number using a Number Line as a visual support. Virtually unlimited Worksheets. The worksheets have been divided into three levels: Worksheet 1:The focus is on rounding numbers with 1 decimal place to the nearest whole number. As with all the worksheets pupils are encouraged to find the number on the number lines provided before rounding Worksheet 2: Numbers with 2 d.p. need to be rounded to either the nearest whole number or to 1 d.p. Worksheet 3:Numbers with 3 d.p. need to be rounded to either the nearest whole number, to 1 d.p. or 2 d.p. In this worksheet the language of the questions is more varied. Answers are automatically generated. To get a more detailed view of these resources and to try out a limited version of the Worksheets go to PREVIEW: Rounding Decimal Numbers Digital Teaching Material These are designed to help you introduce the content of (all) the worksheets to the whole class on an Interactive Whiteboard, or on a PC or Mac for 1-1 tuition and again you have (almost) unlimited examples to practice with. UK Mathematics Program of Study Key Stage 2 Y4: Round decimals with one decimal place to the nearest whole number. Y5: Round decimals with two decimal places to the nearest whole number and to one decimal place. Y6: Develop skills of rounding, rounding answers to a specified degree of accuracy. Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.

Order of operations is a fundamental concept that provides a common approach to evaluating numerical expressions that include addition, subtraction, multiplication, division and parenthesis (brackets) across various mathematical and scientific disciplines throughout the world. It follows a number of well known acronyms outlining the sequence in which operations should be performed: PEMDAS - USA BODMAS - United Kingdom and Australia BEDMAS - Canada and New Zealand Differentiated Sets The worksheet sets are structured to progressively challenge and develop your students skills in this topic: Set 1: Begin with combining 3 or more numbers with addition & subtraction and separately multiplication & division, to help reinforce and extend your students’ understanding of these primary operations. Set 2: We introduce parentheses to show how they affect the outcome of a calculation, again keeping expressions with addition & subtraction separate from multiplication & division Set 3: The four basic operations are now combined in each question, introducing the practice of calculating multiplication and division before addition and subtraction Set 4: Every pair of questions has the same numbers & operations but one has a parenthesis added in, to show the effect of its inclusion Set 5: All questions now have a mix of the 4 operations and parentheses combining all the practice and skills of the previous 4 sets Set 6: A challenge. Students are presented with numerical equations that need a parenthesis to be added to make the equations true. Excellent practice using trial and error and learning to record all trials right and wrong. Set 7: Translating word based problems into numerical statements and solving them. Set 8: Practical, real life problems requiring translation into numerical statements, and solving. How many worksheets are there in total ? Virtually unlimited … There are 8 Sets, BUT, at the click of a button numbers are randomised, so the questions change which allows you to create new worksheets at any level for extra practice or revision throughout the year or even give groups of pupils within your class different sets of questions. These are straightforward no-prep worksheets that require no extra work. Simply CLICK-PRINT AND GO. This makes them ideal to have printed and ready for a replacement teacher if needed. Answers are automatically generated every time. Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers. You may also like Order of Operations WITH Exponents

This Freebie sampler is a part of one of 8 differentiated Sets of worksheets on the topic of ‘Order of Operations without Exponents’ focusing on the early stages of evaluating a numerical expression with a mix of addition, subtraction, multiplication and division without parentheses (which comes in later on in the series). Download the PDF and click on the button at the bottom of the page and you have a new worksheet … as many times as you want. Solutions are automatically generated every time. Note These resource works with the official Adobe Acrobat Reader on Windows or Mac computers. If you like this have a look at the full resource : Order of Operations WITHOUT Exponents Also you may like Order of Operations WITH Exponents

Order of operations provides a common approach to evaluating numerical expressions that include addition, subtraction, multiplication, division, parenthesis (brackets) and exponents (indices) across mathematical and scientific disciplines throughout the world. These worksheets enable a smooth transition from the basic four operations calculated separately to solving algebraic equations that requires a good mastery of the order of operations. Differentiated worksheets The worksheets are structured to progressively challenge and develop your students skills in this topic: Set 1: We begin by reviewing the order of operations without exponents Set 2: Exponents are introduced into numerical expressions either a mix of addition and subtraction or multiplication without parentheses Set 3: Parentheses are now added into numerical expressions either a mix of addition and subtraction or multiplication and division Set 4: Each question contains all the elements of PEMDAS (or BODMAS) except parentheses using 3 to 6 numbers Set 5: Each question contains all the elements of PEMDAS (or BODMAS) again using 3 to 6 numbers Set 6: Challenge 1. Students are presented with numerical equations that need a parenthesis to be added to make the equations true. Excellent practice using trial and error and learning to record all trials right and wrong. Set 7: Challenge 2. Each question now has 6 or 7 digits and all the elements of PEMDAS Set 8: Challenge 3. Word base problems need to be translated into numerical expressions and solved How many worksheets are there in total ? Virtually unlimited … There are 8 Sets, BUT, at the click of a button numbers are randomised, so the questions change which allows you to create new worksheets at any level for extra practice or revision throughout the year or even give groups of pupils within your class different sets of questions. No-Prep Worksheets These are straightforward no-prep worksheets that require no extra work. Simply CLICK-PRINT AND GO. This makes them ideal to have printed and ready for a replacement teacher if needed. Answers are automatically generated every time. Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers. You may also like Order of Operations WITHOUT Exponents