This Free Preview Download has been set up so you can have a more in depth view of Introducing Percentages with Visual Support and try out a limited version of the Dynamic Worksheets and see for yourself the potential of this resource for you and your pupils.

This Free Preview Download has been set up so you can have a more in depth view of Rounding to the nearest 10, 100 & 1000 and try out a limited version of the Dynamic Worksheets and see for yourself the potential of this resource for you and your pupils.

This Free Preview Download has been set up so you can have a more in depth view of Add & Subtract numbers to 1dp, 2dp & 3dp and try out a limited version of the Dynamic Worksheets and see for yourself the potential of this resource for you and your pupils.

An Interactive PDF Teaching Resource AND Dynamic PDF Worksheet The minuends and subtrahends are randomised at the click of a button and you can choose from 6 ranges of numbers: 1- 10 1 - 20 1 - 50 1 - 100 in 10s 1 - 500 in 10s 1 -1000 in 10s The Teaching Resource is designed to be used by teachers and pupils on an Interactive Whiteboard or on a PC/Mac computer for one-to-one tuition. Ideal as a warm up activity at the start of a lesson or game at the end. The Dynamic PDF Worksheet provides 2 Subtraction Squares on one page, (again with randomisation of numbers in the same range as on the Teaching Resource), that you can print out for the pupils. Answers are viewable for both the above resources. A Help Guide and is included. Note *This resource works with the official Adobe Acrobat Reader on Windows or Mac computers.

(Almost) unlimited number of practice questions dividing two digit numbers by a single digit numbers. Click on the randomiser buttons and all the 2 digit dividends will change. You can use the same resource for classwork, homework, revision etc and the questions will change every time. Worksheet Set 1: Division of 2 digit numbers *without remainders * Generate pages of questions each page with a different divisor from 2 to 9 Worksheet Set 2: Division of 2 digit numbers with remainders. Generate pages of questions each page with a different divisor from 2 to 9 Worksheet Set 3: Division of 2 digit numbers MIX Generate pages of questions each page with a mix of divisors from 2 to 9. One set of questions has no remainders, the other has remainders. Solutions are generated every time. To get a more detailed view of these resources and to try out a limited version of the Worksheets go to PREVIEW: Divide 2 digit by a 1 digit number Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.

These resources have been created with a differentiated approach in mind, so for example, pupils can begin by practicing skip counting with 5 up to 100 then at a suitable pace go all the way up to the Challenge Worksheets that mixes questions with skipping 5, 10 & 100 with sequences that start at any number and go all the way to 1000. There are** 17 Sets of Worksheets ** (and 17 Teaching Pages) covering this topic Content Worksheets + Sequence of numbers starts with a … Worksheet 1. Skip Counting by 5s to 100 multiples of 5 Worksheet 2. Skip Counting by 5s to 500. multiples of 5 Worksheet 3. Skip Counting by 5s to 1000 multiples of 5 Worksheet 4. Skip Counting by 5s to 100. random starting point Worksheet 5. Skip Counting by 5s to 500. random starting point Worksheet 6. Skip Counting by 5s to 1000 random starting point Worksheet 7. Skip Counting by 10s to 200. multiples of 10 Worksheet 8. Skip Counting by 10s to 500 multiples of 10 Worksheet 9… Skip Counting by 10s to 1000. multiples of 10 Worksheet 10. Skip Counting by 10s to 200. random starting point Worksheet 11. Skip Counting by 10s to 500. random starting point Worksheet 12. Skip Counting by 10s to 1000. random starting point Worksheet 13. Skip Counting by 100s to 1000 multiples of 10 Worksheet 14. Skip Counting by 100s to 1000 random starting point Challenge 1. Skip Counting by 5s, 10s & 100s to 1000 multiples of 10 Challenge 2. Skip Counting by 5s, 10s & 100s to 1000. random starting point Challenge 3. Skip Counting by 5s, 10s & 100s to 1000 random starting point and skipping randomised 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 which allows you to create new worksheets for extra practice or revision throughout the year or even give groups of pupils in your class different sets of questions. Answers are automatically generated every time a new worksheet is created. 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. To get a more detailed view of these resources and to try out a limited version of the Worksheets / Teaching Page go to PREVIEW: Skip Counting by 5, 10 & 100 to 1000 Note This resource works with the official Adobe Acrobat Reader on Windows or Mac computers.

The Teaching Page when projected onto a screen or interactive whiteboard allows you to go through the standard algorithm for multiplication showing each step of the process to your class. Every time you press one of the randomising buttons it changes the 3 digit multiplicand. Each button represents a different multiplier from 2 to 9, so you have an endless set of examples to practice with. The two printable Dynamic PDF Worksheets provide an (almost) infinite number of practice questions . 12 questions are laid out on the page. When any of the buttons (at the bottom of the page) is clicked all the 3 digit multiplicand will change. On Worksheet 1 each button represents a different multiplier from 2 to 9 , so for example you can have a whole page of 3 digit numbers multiplied by 4, or 5 etc. On Worksheet 2 each button represents a range of multipliers e.g. 3 to 6. Each row of questions will multiply the 3 digit number by a different number, first row by 3, second row by 4 etc. Answers are generated automatically every time. UK National Curriculum. Year 4 Programme of Study: Number - Multiplication and Division. Multiply two-digit and three-digit numbers by a one-digit number using formal written layout Need to review multiplication of a 2 digit numbers by a 1 digit number ? Go [here]https://www.tes.com/teaching-resource/multiply-a-2-digit-number-by-a-1-digit-number-worksheets-12440654) Need a similar set of free resources multiplying 4 digit by 1 digit numbers ? Leave a request in the Review section.

A fun way to practicing adding at 4 different levels with an (almost) unlimited number of Worksheets together with a self checking Interactive Teaching Resource for the whole class engagement on an Interactive Whiteboard or on a PC/Mac computer for one-to-one tuition. Practice addition at 4 levels. Addition up to 10 Addition up to 20 Addition up to 50 Addition up to 100 Differentiating the Worksheets There are 4 addition squares on a page. You can set the range of numbers on each one individually, so you could have 4 number squares up to one level, a mix of 4 levels etc. How many worksheets are there ? All the numbers in each square are randomized at the click of a button which means you have an (almost) endless set of worksheets that could be used for classwork, homework, revision, tests etc. **Answers **are automatically generated every time. Note This resource works with the official Adobe Acrobat Reader on Windows or Mac computers.

This set of (almost) unlimited Worksheets provides practice with adding and subtracting with 4 digit, 5 digit and a mix of 3,4 & 5 digit numbers with the numbers ready laid out in columns in order to use the standard algorithm. Why (almost) Unlimited Worksheets ? There are 6 basic differentiated templates, BUT, at the click of a button all numbers are randomised, 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. Answers are automatically generated every time. UK National Curriculum Year 4 Programme of Study Addition and Subtraction Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.

Students compare two 3-Digit, 4-Digit, 5-Digit or 6-Digit numbers based on the meaning of the digits in each place within the number using the symbols <, =, or >. Students must first indicate which digit in each number is determining their choice of <, = or >. For each of the 4 sets of worksheets ( 3-Digit, 4-Digit, 5-Digit or 6-Digit numbers) there are 3 choices of presentation: Numbers color coded to help with comparing the same size numbers (100s, 1000s etc) and are shown in a Place Value Table. Numbers in a Place Value Table (no color coding). Numbers without Place Value Table. This will give you a choice of differentiating from the very start. 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. Your students will never run short of new worksheets to practice with. Answers are automatically generated every time. Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.

These worksheets & digital teaching materials on comparing numbers and identifying whether a number of objects in one group is greater or less than the number of objects in another group will help your pupils to: understand the concept of comparison using the words “more than”, “less than” or “equal to”; compare numbers up to 10 and 20; practice counting up to 10 objects using either matching or counting strategies. express the above concepts with words and / or symbols They are divided into two sets: Comparing quantity of objects Worksheet Set 1: Are there MORE …(comparing number of objects) Worksheet Set 2: Are there LESS … (comparing number of objects) Comparing numbers Worksheet Set 1: Comparing Numbers to 10: “more than”, “less than” or “equal to” Worksheet Set 2: Comparing Numbers to 10: >, = , < Worksheet Set 3: Comparing Numbers to 20: “more than”, “less than” or “equal to” Worksheet Set 4: Comparing Numbers to 20: >, = , < How many worksheets are in each set ? Lots and lots. At the click of a button all numbers are randomised, so the questions change every time which allows you to create new worksheets for extra practice or revision throughout the year or even give groups of pupils in your class different sets of questions. Answers are automatically generated every time. Digital Teaching Material These are designed to help you introduce the content of all the worksheets listed above to the whole class on an Interactive Whiteboard, or on a PC or Mac for 1-1 tuition and again you have lots and lots of examples to practice with. Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.

Practice counting to answer “How Many ?” questions with up to 20 objects arranged in circles, lines, arrays or scattered randomly with lots of Worksheets and Digital Teaching Resources. Worksheet Sets Counting in Circles 1 to 10 10 to 20 Counting in Arrays Up to 20 Counting in a Line 1 to 10 10 to 20 Counting Scattered Objects 1 to 10 10 to 20 How many worksheets are in each set ? Lots. At the click of a button all numbers are randomised, so you could produce a set of 3,4,5 or more of the same Worksheet whenever extra practice is needed as each one will be different. Answers are automatically generated every time. Digital Teaching Material These are designed to help you introduce the content of the worksheets to the whole class on an Interactive Whiteboard, or on a PC or Mac for 1-1 tuition and again you have lots of examples to practice with. Note These resources work with the official Adobe Acrobat Reader on Windows PCs or Mac computers.

21 Sets of Worksheets on multiplying and dividing by 10, 100 and 1000 provide an abundance of practice material with multiple levels of differentiation allowing you to select the questions that is just right for your pupils. The Worksheets are divided into 2 formats. For the first format, which is really the preparation stage, there is a **place value grid **for each question so pupils can see what is happening to the numbers as they are multiplied or divided. Having grasped this, pupils can then move onto the Worksheets with 20 questions, with one sample place grid displayed to help the pupils if needed. How many Worksheets in each Set ? Almost unlimited because you can randomise the numbers on ALL the Worksheets at the click of a button. Worksheet Set 1 to 3: with Place Value Grid Multiply by 10 Divide by 10 Mix of multiply and divide by 10 Worksheet Set 4 to 6: 20 Questions 4. Multiply by 10 5. Divide by 10 6. Mix of multiply and divide by 10 Worksheet Set 7 to 9: with Place Value Grid 7. Multiply by 100 8. Divide by 100 9. Mix of multiply and divide by 100 Worksheet Set 10 to 12: 20 Questions 10. Multiply by 100 11. Divide by 100 12. Mix of multiply and divide by 100 Worksheet Set 13 to 15: with Place Value Grid 13. Multiply by 1000 14. Divide by 1000 15. Mix of multiply and divide by 1000 Worksheet Set to 18: 20 Questions 16. Multiply by 1000 17. Divide by 1000 18. Mix of multiply and divide by 1000 Worksheet Set 19 to 21: 20 Questions 19. Mix of multiply by 10, 100 or 1000 20. Mix of divide by 10, 100 or 1000 21. Mix of multiply and divide by 10, 100 or 1000 Note These resources work with the official Adobe Acrobat Reader on a Windows or Mac computers.

An open number line is a very flexible and versatile tool for helping with adding and subtracting within 1000. It provides visual support allowing students to use or develop their knowledge of place value and rounding in an informal setting. The worksheets are split into 11 levels of differentiation for both Addition and Subtraction. They start with a 3-digit number plus or minus 100 then progress in steps until both numbers are randomly generated 3-digit numbers. At each level you have an (almost) unlimited number of printable worksheets that could be used throughout the year. 1st number - 3 digits, 2nd number - 100 1st number - 3 digits, 2nd number between 95 and 105 1st number - 3 digits, 2nd number between 90 and 110 1st number - 3 digits multiple of 10, 2nd number - 100 +/ - a multiple of 10 between 10 & 50 1st number - 3 digits, 2nd number - 100 +/ - a multiple of 10 between 10 and 50 1st number - 3 digits, 2nd number - multiple of 100 1st number - 3 digits, 2nd number - multiple of 100 +/ - 5 1st number - 3 digits, 2nd number - multiple of 100 +/ - 10 1st number - 3 digits multiple of 10, 2nd number - multiple of 100 +/ - a multiple of 10 between 10 & 50 1st number - 3 digits multiple of 10, 2nd number - multiple of 100 +/ - a multiple of 10 between 10 & 50 1st & 2nd numbers both 3 digits An example of the specific level being worked on is generated at the top of each worksheet at the click of a button. Besides being a memory jogger for students, it could be used to introduce the assignment when projected onto an Interactive whiteboard. Why (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. Your students will never run short of new worksheets to practice with. Full graphical solutions are provided for all worksheets Note This resource works with the official Adobe Acrobat Reader on Windows or Mac computers.

These resources contain three basic approaches to understanding equivalent fractions: Using 2-D shapes in the form of rectangles The number line. The numerical processes with multipliers and divisors. Equivalent Fractions with rectangles Equivalent fractions are modeled using rectangles, each representing the same area of a whole. This is an ideal visual way to introduce equivalent fractions before proceeding onto the using the number line or purely the numerical method. The 4 Sets of Worksheets provide a step by step approach as follows: Worksheet Set 1: Pupils are asked to write down the (equivalent) fractions of two colored-in rectangles. Worksheet Set 2: Pupils colour in the areas on two rectangles that represent two given equivalent fractions. Worksheet Set 3: Given two coloured-in rectangles and the denominators of the equivalent fractions, pupils must determine the numerators and the multiplier that connects the two fractions. Worksheet Set 4: Given two coloured-in rectangles pupils are asked to write down the full fractions coloured-in and the multiplier connecting the two fractions. How many worksheets are in each set ? (almost) Unlimited. At the click of a button the numbers and the corresponding shaded parts of the rectangles 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. Equivalent fractions on the number line. Equivalent fractions are located at the same point on the number line. The printable Worksheets consist of question containing 2 number lines divided up into a different number of equal parts between 0 and 1 which the pupils then have to compare Worksheet Set 1: Pupils are asked to write down the equivalent fraction to the one shown taking into account the number of equal parts on the line. Worksheet Set 2: Pupils have to write down the two equivalent fractions indicated on parallel number lines, each number line divided into a different number of equal parts. How many worksheets are in each set ? As with the worksheets with rectangles …almost Unlimited. Answers are automatically generated every time. Note These Worksheets work with the official Adobe Acrobat Reader on Windows or Mac computers.

Worksheets for practicing multiplying monomials, binomials, trinomials, and polynomials with four or more terms, with and without exponents. Every Worksheet has 12 questions,which start simple but then develop gradually with questions 11 & 12 being more challenging. The 6 Sets are also arranged in an order that will hopefully help you to plan building the students’ knowledge, skills and confidence with multiplying polynomials. By being able to randomise the numbers in the questions at the click of a button you will be able to generate sufficient worksheets for as much practice throughout the year as is needed to keep the skills alive. Worksheet Set 1 Students are asked to multiply simple monomials by (mainly) binomials, with some tri- & a quadri- nomial. There are no exponents to calculate. Worksheet Set 2 Students are required to multiply binomials by a monomial, moving a stage further to include exponents in each term. Worksheet Set 3 This set involves multiplying two or more monomials each with a number of variables with exponents. Worksheet Set 4 Students now practice multiplying two binomials which will include calculating multiplying variables with exponents, plus the added step of needing to combine like terms to obtain the final answer. Worksheet Set 5 This Set contains questions that include multiplying binomials by trinomials, trinomials by trinomials and trinomials raised to the power of 2 and 3 and students will practice combining like terms. Worksheet Set 6 This has an extra element in that instead of only using the standard algorithms for multiplying polynomials there is an alternative using Pascal’s triangle as a way to calculate binomial terms raised to various powers through recognising the symmetry of the powers and building of the coefficients for each term. There is additional support material for this set. Answers are automatically generated every time. Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.

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 collection contains Worksheets and Teaching Pages on multiplying 2-digit, 3-digit, 4-digit and 5-digit numbers by 1-digit numbers using the standard algorithm. It will provide you with all the levels you should ever need to cover this topic for pupils who need a gentle start with 2-digit numbers to the more challenging worksheets with 5-digit numbers. Differentiation is easy and straightforward. At the click of a button you can create a whole worksheet focussed on multiplying a 2,3,4 or 5-digit number by any single digit from 2 to 9 or choose from 5 levels of a mix of multipliers - 2,3,4,5 or 3,4,5,6 or 4,5,6,7 or 5,6,7,8 or 6,7,8,9. Exactly how many worksheets are there? Virtually unlimited. You will have a minimum of 52 worksheets as described above. e.g a page on multiplying 2-digit numbers by 3, or a page dedicated to multiplying 3-digit numbers by 8 etc. BUT click any button all numbers are randomised, creating a brand new worksheet. This means that you can have 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. Answers are automatically generated every time. The Teaching Pages when projected onto a screen or interactive whiteboard allows you to go through the standard algorithm for multiplication showing each step of the process to your class. You begin by choosing the multiplier ( 2 to 9) then when you press one of the randomising buttons it changes the multiplicand, so you have an endless set of examples to practice with. As you enter each digit in the answer line you get instant feedback as to whether it is correct or not. Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.

Help your students to mentally add and subtract multiples of 10 and multiples of 100 from a number between 100-900 using the visual support of a Number Line with NO PREP CLICK-PRINT-and- GO sets of Worksheets and Digital Teaching Resources . There are 3 sets of worksheets. Within the 3 sets, the worksheets are differentiated at 3 levels with the worksheets having almost unlimited questions. **Worksheets 1,2 & 3. Add and Subtract Multiples of 10 ** Addition Worksheet 1: First addend is a multiple of 10. Number line starts with a multiple of 100. Worksheet 2: First addend is from 100 to 900. Number line starts with a multiple of 100. Worksheet 3: First addend is from 100 to 900. Number line starts with a multiple of 10. Subtraction Worksheet 1: The minuend is a multiple of 10. Number line starts with a multiple of 100. Worksheet 2: The minuend lies between 100 and 900. Number line starts with a multiple of 100. Worksheet 3: The minuend lies between 100 and 900. Number line starts with a multiple of 10. Worksheet 4 & 5. Add and Subtract Multiples of 100 Number line - Multiples of 100 from 100 to 900 with subdivisions of 10 Worksheet 4: First Addend (addition) / Minuend (subtraction) are multiple of 10 Worksheet 5: First Addend (addition) / Minuend (subtraction) lies between 100 and 900 Worksheet 6,7 & 8. Add and Subtract Multiples of 10 CHALLENGES Worksheet 6: Number line starts with a multiple of 100. First Addend / Minuend is a multiple of 10. Worksheet 7: Number line starts with a multiple of 100. First Addend / Minuend lies between 100 and 900 Worksheet 8: Number line starts with a multiple of 10. First Addend / Minuend lies between 100 and 900 Worksheet 9 and 10. Add and Subtract Multiples of 100 CHALLENGES Number line - Multiples of 100 from 100 to 900 with subdivisions of 10 Worksheet 9: First Addend / Minuend is a multiple of 10. Worksheet 10: First Addend / Minuend lies between 100 and 900. Worksheet 11 to 13. EXTRA - Add and Subtract Multiples of 10 to 10,000 Worksheet 11: Number line starts with a multiple of 1000. First Addend / Minuend is a multiple of 100. Worksheet 12: Number line starts with a multiple of 1000. First Addend / Minuend is a multiple of 10. Worksheet 13: The number line starts with a multiple of 100. First Addend / Minuend is a multiple of 10. Worksheet 14 to 16. EXTRA CHALLENGE - Add and Subtract Multiples of 10 to 10,000 Worksheet 14: Number line starts with a multiple of 1000. First Addend / Minuend is a multiple of 100. Worksheet 15: Number line starts with a multiple of 1000. First Addend / Minuend is a multiple of 10. Worksheet 16: Nnumber line starts with a multiple of 100. First Addend / Minuend is a multiple of 10. CHALLENGES ? Students are now asked to find either the first or second addend for the addition questions, and either the minuend or subtrahend for the subtraction questions .

Learning to recognise and identify even and odd numbers is one of the simplest ways to start exploring patterns in numbers. Beginning with counting and pairing objects it develops to recognising even and odd numbers according to the last (unit) digit in a number whatever it’s size. This pack includes (almost) unlimited printable Worksheets and Digital Teaching Resources. Worksheets Set 1 Up to 14 objects either in columns or arranged randomly, practicing counting in pairs and determining whether the number is even or odd. Worksheets Set 2 Pupils use this worksheet to recognise even and odd numbers by simply looking at the last digit. There are two levels; The first contains numbers up to 100, and the second, for an extra challenge, numbers up to 1000 How is it possible to have (almost) Unlimited Worksheets ? At the click of a button all numbers or numbers of objects are randomised, and will therefore change every time so you can create as many unique worksheets for classwork, homework, review, preparing for assessments, preparing different worksheets for groups within your class or just simply practice at any time to keep the skill alive throughout the whole year. Answers are automatically generated every time. Digital Teaching Material These are designed to help you introduce the content of 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. Digital Teaching Page 1 Use pairing and/or counting, with objects in lines and arranged randomly (supports Worksheets Set 1) Digital Teaching Page 2 Using 4 buttons you can randomly generate numbers at 4 levels: up to 30, 50, 100 or 1000 and get pupils to recognize whether they are even or odd by looking at the last digit. (supports Worksheets Set 2) Note These resources work with the official Adobe Acrobat Reader on Windows or Mac computers.