This is support mat featuring Decimals in Year 4. Significant help for parents, children and teachers. Great for homework and homeschooling. It can be used as a visual display in the classroom or on the desk.

In this worksheet, children subtract whole numbers with more than four digits, including using formal written methods (columnar subtraction). Place value chart and place value counters can be used for support. It is useful when performing calculations that require an exchange. Squared paper and labelled columns will support children in placing the digits in the correct columns. Children experience both questions and answers where zero appears in columns as a placeholder. For a support ask, “Which number goes at the top when using the column method?” “Does it matter if the numbers have different numbers of digits?” “How do you know which digits to “line up” in the calculation?” “How do you know if the calculation is a subtraction?”

Add and subtract numbers with up to four digits using the formal written methods of columnar addition and subtraction where appropriate Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why

Add and subtract numbers mentally with increasingly large numbers. In this worksheet, children recap and build on their learning from previous years to mentally calculate sums and differences using partitioning. They use their knowledge of number bonds and place value to add and subtract multiples of powers of 10. If they know that 3 + 4 = 7, then 3 thousand + 4 thousand = 7 thousand and 3,000 + 4,000 = 7,000. Children need to be fluent in their knowledge of number bonds to support the mental strategies. How does knowing that 6 + 3 = 9 help you to work out 60,000 + 30,000? “How can the numbers be partitioned to help add/subtract them?” "Are any of the numbers multiples of powers of 10? " “How does this help you to add/subtract them?”

The numbers can be made using place value counters in a place value chart, alongside the formal written method. When discussing where to start an addition, it is important to use language such as begin from the “smallest value column” rather than the “ones column” to avoid any misconceptions when decimals are introduced later in the year. After each column is added, ask, “Do you have enough ones/ tens/hundreds to make an exchange?” Extra reasoning activity sheet.

The numbers can be made using place value counters in a place value chart, alongside the formal written method. When discussing where to start an addition, it is important to use language such as begin from the “smallest value column” rather than the “ones column” to avoid any misconceptions when decimals are introduced later in the year. After each column is added, ask, “Do you have enough ones/ tens/hundreds to make an exchange?” Extra reasoning sheet attached.

In this worksheet, children add 3- or 4-digit numbers with no exchanges, using concrete resources as well as the formal written method. The numbers being added together may have a different number of digits, so children need to take care to line up the digits correctly. Even though there will be no exchanging, the children should be encouraged to begin adding from the ones column. With extra reasoning activity sheet Add numbers with up to four digits using the formal written methods of columnar addition. Solve addition two-step problems in contexts, deciding which operations and methods to use and why.

Add and subtract numbers mentally with increasingly large numbers. In this worksheet, children recap and build on their learning from previous years to mentally calculate sums and differences using partitioning. Children explore strategies such as compensation and adjustment to mentally calculate the answer to questions such as 73,352 + 999 or 16,352 − 999. Children need to be fluent in their knowledge of number bonds to support the mental strategies. "Are any of the numbers multiples of powers of 10? " “How does this help you to add/subtract them?” "What number is 999 close to? “How does that help you to add/subtract 999 from another number?”

Add and subtract numbers mentally with increasingly large numbers. In this worksheet, children recap and build on their learning from previous years to mentally calculate sums and differences using partitioning. They use their knowledge of number bonds and place value to add and subtract multiples of powers of 10. If they know that 3 + 4 = 7, then 3 thousand + 4 thousand = 7 thousand and 3,000 + 4,000 = 7,000. Children need to be fluent in their knowledge of number bonds to support the mental strategies. How does knowing that 6 + 3 = 9 help you to work out 60,000 + 30,000? “How can the numbers be partitioned to help add/subtract them?” "Are any of the numbers multiples of powers of 10? " “How does this help you to add/subtract them?”

In this worksheet, children develop their understanding of place value by exploring the relationship between numbers in different columns. As well as adjacent columns, they look at columns that are further apart, for example considering the number of tens needed to make 2,000 and then multiples of 2,000. Children can use both place value charts and charts to support their understanding. Exchanging with place value counters as extra support is also helpful. Ask, “How can you tell if a number is a power of 10?” “Is this number a multiple of a power of 10?” “How can you tell?” Watch for: Children may not realise that the overall effect of, for example, × 10 followed by × 10 is × 100.

The purpose of this worksheet is to encourage children to make choices about which method is most appropriate for a given calculation. Children can often become reliant on formal written methods, so it is important to explicitly highlight where mental strategies or less formal jottings can be more efficient. Children explore the concept of constant difference, where adding or subtracting the same amount to/from both numbers in a subtraction means that the difference remains the same, for example 3,835 – 2,999 = 3,835 – 3,000 or 700 – 293 = 699 – 292. This can help make potentially tricky subtractions with multiple exchanges much simpler, sometimes even becoming calculations that can be performed mentally. Number lines can be used to support understanding of this concept.

Round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000 Add and subtract numbers mentally with increasingly large numbers Use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy. Children should be familiar with the word “approximate”, and the degree of accuracy to which to round is a useful point for discussion. Generally, rounding to the nearest 100 for 3-digit numbers, the nearest 1,000 for 4-digit numbers. Ask, “What place value column should we look at to round the number to the nearest 10/100/1,000/10,000/100,000 “How could you use your estimates to check your answers?” " Is the actual answer going to be greater or less than your estimate? Why?” One worksheet with answers attached.

In this worksheet, children explore the inverse relationship between addition and subtraction. Addition and subtraction are inverse operations and addition is commutative and subtraction is not. Bar models and part-whole models are useful representations to help establish families of facts that can be found from one calculation. Children use inverse operations to check the accuracy of their calculations, rather than simply redoing the same calculation and potentially repeating the same error. Ask: What are the parts? What is the whole? Given one fact, what other facts can you write? What does “inverse” mean? What is the inverse of add/subtract

In this worksheet, children explore the inverse relationship between addition and subtraction. Addition and subtraction are inverse operations and addition is commutative and subtraction is not. Bar models and part-whole models are useful representations to help establish families of facts that can be found from one calculation. Children use inverse operations to check the accuracy of their calculations, rather than simply redoing the same calculation and potentially repeating the same error. Ask: What are the parts? What is the whole? Given one fact, what other facts can you write? What does “inverse” mean? What is the inverse of add/subtract