Children identify multiples including finding all multiples of the number, and common multiples of set of numbers. They solve problems involving multiplication including using their knowledge of multiples.

There are three differentiated worksheets with answers plus three differentiated reasoning worksheets. They practice subtraction of two 4-digit numbers with one exchange in any column. Working towards: children supported by visual clues and word bank. Working above: children are challenged by word problems, missing numbers and reasoning problems.

These are subtraction worksheets targeted at Year 4. There are 3 well differentiated worksheets and 3 reasoning activities with answers included. The first worksheet includes place value counters and base ten to help with subtraction, and reminders to exchange. The second worksheet includes place value, base ten tables and some word problems with subtractions. The third worksheet includes word problems to solve subtractions with 4-digit numbers. The reasoning activities include missing digits or numbers.

Children work out subtraction word problems and correct the mistake and explain the exchange and possible misconceptions.

Children solve subtraction calculation involving up to two exchanges. They correct the mistake and explain why the mistake was made. They solve two step word problem and find the missing number in the calculations , involving finding the possible greater number and explain how they solve this calculation. Extra reasoning activity attached

Compare and order fractions whose denominators are all multiples of the same number. Identify and write equivalent fractions of a given fraction. Children compare fractions and explain how they know if the fraction is smaller or greater. They are challenged by word problems and working out the greater fractions within the word problem. They correct mistakes made by another child. They use number line comparing the position of the fraction to 0 and 1 or one half. Extra reasoning sheet attached

In these worksheets, children subtract up to 4-digit numbers with more than one exchange, using the written method of column subtraction. They perform subtractions involving two separate exchanges (for example, from the thousands and from the tens) To support understanding, solve these subtractions alongside the concrete resources of base 10 and place value counters. With extra reasoning sheet. With answer sheets

In these worksheets, children subtract up to 4-digit numbers with more than one exchange, using the written method of column subtraction. Children perform subtractions involving two separate exchanges With extra reasoning sheet with answer sheets (for example, from the thousands and from the tens) as well as those with two-part exchanges (for example, from the thousands down to the tens if there are no hundreds in the first number). To support understanding, solve these subtractions alongside the concrete resources of base 10 and place value counters. When completing the written method, it is vital that children are careful with where they put the digits, especially those that have been exchanged. Remember, two-part exchanges can be confusing for children if they are unsure what each digit represents or where to put it. You can support the children with some questioning alongside their work, for example, Do you need to make an exchange? How can you subtract two numbers if one of them has fewer digits than the other? If you cannot exchange from the tens/hundreds, what do you need to do? Which column can you exchange from?

Children use a place value chart and place value counters to answer the questions. They exchange the counters when needed. They then solve the calculations already written in the formal method.

Children use place value chart to solve calculations that involve up to two exchanges. They have support of pace value chart and numbers written down under each value column. They then solve word problem with support of calculations already written down for them. As an extension, they find the missing number in the bar model and use formal method to solve this calculation with the greater number written for them already.

Children compare fractions where the denominator or numerators are the same. The examples and bar models support them. They find the equivalent fractions by using bar models. Extra reasoning sheet attached.

In this higher ability worksheets, children subtract up to 4-digit numbers with more than one exchange, using the written method of column subtraction. With extra reasoning sheet with answer sheets They perform subtractions involving two separate exchanges (for example, from the thousands and from the tens) as well as those with two-part exchanges (for example, from the thousands down to the tens if there are no hundreds in the first number). Remember, when completing the written method, it is vital that children are careful with where they put the digits, especially those that have been exchanged. Two-part exchanges can be confusing for children if they are unsure what each digit represents or where to put it. Watch for not lining up the digits in the place value columns correctly. When exchanging a number, they may put the ones in the incorrect place. When exchanging over two columns, children may exchange directly from, for example, hundreds down to ones and miss out the exchange to tens. Some high-level questioning will challenge high achieving students. Does it matter which column you subtract first? How can you subtract two numbers if one of them has fewer digits than the other? If you cannot exchange from the tens/hundreds, what do you need to do? Which column can you exchange from?

Children subtract up to 4-digit numbers, with one exchange. They complete the formal written method alongside any visual resources to support understanding. Before subtracting each column, ask, Do you have enough ones/tens/hundreds to subtract ____ ? If not, then an exchange is needed. The exchange could take place from the tens, hundreds or thousands, but there is only one exchange per calculation

Children subtract up to 4-digit numbers with more than one exchange, using the written method of column subtraction.They solve subtractions involving two separate exchanges (for example, from the thousands and from the tens) as well as those with two-part exchanges (for example, from the thousands down to the tens if there are no hundreds in the first number).

Children compare fractions where the denominators are the same or where one denominator is a multiple of the other. They also compare fractions with the same numerator or by comparing it to one half. with answer sheets. Extra reasoning activity sheet

Model making, drawing and writing decimal numbers, showing that the decimal point is used to separate whole numbers from decimals. Children look at a variety of representations of tenths as decimals, up to the value of 1 whole. This leads to adding the tenths column to a place value chart for children to see how tenths fit with the rest of the number system and to understand the need for the decimal point. Children may forget to include the decimal point. If the number of tenths reaches 10, children may call this “zero point ten” and write 0.10 rather than exchanging for 1 one. Children may confuse the words “tens” and “tenths”. Questions to help with understaning the topic: If a whole is divided into 10 equal parts, what is the value of each part? How can you represent the decimal How are decimals like fractions? using a model? How can you convert between tenths as fractions and tenths as decimals? How is 1/10 like 0.1? How is it different?

Children look at a variety of representations of tenths as decimals, up to the value of 1 whole. This leads to adding the tenths column to a place value chart for children to see how tenths fit with the rest of the number system and to understand the need for the decimal point. Useful challenging questioning: How are decimals like fractions? using a model? How can you convert between tenths as fractions and tenths as decimals? How is 2/10 like 0.2? How is it different?

his is a PDF file. These worksheets display numbers with up to 2 decimal places. Using a hundred piece of base 10 as 1 whole, a ten piece as a tenth and a one piece as a hundredth shows children that they can exchange, for example, 10 tenths for 1 whole, or 10 hundredths for 1 tenth. A hundred square where each part represents 1 hundredth, or 0.01, can also help children to see the relationship between a hundredth, a tenth and a whole. Children make decimal numbers using place value counters in a place value chart and read and write the numbers, as well as working out the value of each digit in the number. They also explore partitioning decimal numbers in a variety of ways. When reading or writing a number, children may say “one point twenty-four” instead of “one point two four”. When there are hundredths but no tenths in a number, children may forget to include the zero placeholder in the tenths column. You can use these questions to support your child. How can you represent this number using a place value chart? What is the same and what is different about a tenth and a hundredth? What is the value of the digit

This is reasoning activity targeted at lower ability Year 4. The number line in this question is a visual resource to support the understanding of decimal numbers. Before children attempt this worksheet, they should encounter, practice writing and reading decimal numbers and the decimal point, model making, drawing and showing that the decimal point is used to separate whole numbers from decimals in the main worksheet displayed on the website. Children look at a variety of representations of tenths as decimals on the number line. This leads to representing the tenths in the bar models and finally in the place value charts. The place value chart shows how tenths fit with the rest of the number system and to understand the need for the decimal point. Watch for: Children may forget to include the decimal point. Children may confuse the words “tens” and “tenths”. You might ask them: "If a whole is split into 10 equal parts, then what is each part worth? "If a whole is split into 10 equal parts, then what are the three parts worth?

This is reasoning activity targeted at Year 5. Before children attempt this worksheet, they should attempt to order fractions in the main worksheet displayed on the website. Bar models, fraction walls and number lines will still be useful to help children to see the relative sizes of the fractions, especially when conversions are needed. Children should look at the set of fractions as a whole before deciding their approach, as comparing numerators could still be a better strategy for some sets of fractions.