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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.

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

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.

The worksheet is aimed at those working towards age expected. 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.

The worksheet is aimed at those working towards age expected. 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.

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

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?

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?

The worksheet is aimed at those working towards age expected. In these foundation worksheets, children order a set of two or more fractions. If equivalent fractions are needed, then one denominator will be a multiple of the other(s) so that conversions will not be complicated. Bar models, fraction walls and number lines are used to help children to see the relative sizes of the fractions, especially when conversions are needed. Children should look at the set of numerators especially when the denominators are the same. At first, children may need support to decide the best strategy when there are more than two fractions. Children may not look at both parts of the fractions when making their decisions about the order. Useful supporting sentences for parents. When fractions have the same denominator, the one with the_____ numerator is the greatest fraction. When fractions have the same numerator, the one with the ______ denominator is the greatest fraction. With extra reasoning sheet. Key questions for parents: If a set of fractions all have the same denominator, how can you tell which is greatest? If a set of fractions all have the same numerator, how can you tell which is greatest?

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?

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

The worksheet is aimed at those working towards age expected. 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

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?

With extra reasoning activity sheet. Children use their knowledge of comparing fractions and order a set of three or more fractions. If equivalent fractions are needed, then one denominator will be a multiple of the other(s) so that conversions will not be complicated. C Bar models, fraction walls and number lines could be used to help children to see the relative sizes of the fractions, especially when conversions are needed. Children can consider the position of a fraction relative to 0, 1/2 or 1 whole. You can challenge your child with set of questions: If a set of fractions all have the same denominator, how can you tell which is greatest? If a set of fractions all have the same numerator, how can you tell which is greatest? How can you use equivalent fractions to help? What are all the denominators/numerators multiples of? How can this help you find equivalent fractions? Which of the fractions are greater than 1/2?

The worksheet is aimed at those working towards age expected. 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?

In this worksheet, children explore the tenths column in a place value chart, extending their previous learning to include numbers greater than 1. It is essential that they understand that 10 tenths are equivalent to 1 whole, and 1 whole is equivalent to 10 tenths. Remind them that when counting forwards, 1 comes after 0.9, and when counting backwards that 0.9 comes after 1. Be aware that when the number of tenths reaches 10, they may call this “zero point ten” and write 0.10 rather than exchanging for 10 tenths for 1 whole.

As this is the first time that children may encounter decimal numbers and the decimal point, model making, drawing, writing decimal numbers and showing that the decimal point is used to separate whole numbers from decimals is extremely helpful. 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.

The worksheet is aimed at those working towards age expected. This worksheet uses a hundred piece of base 10 as 1 whole. It 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. They use place value counters to represent decimal number. Ask, “How can you represent this number using a place value chart?” “What is the value of the digit ____ in the number ____?” You can use this supporting sentence to help your child. ________tenths are equivalent to ______ whole. ________ hundredths are equivalent to ________ tenths. ________hundredths are equivalent to ______ whole. When reading or writing a number, children may say “one point fourteen" instead of “one point one four”. • When there are hundredths and tenths but no ones in a number, children may forget to include the zero placeholder in the ones column.