Pupil outcome: I can explain how the quotient is affected when the divisor is equal to the dividend. Key learning points: - If the divisor is equal to the dividend, then the quotient will be 1 - Any number divided by itself is equal to 1

Pupil outcome: I can explain how a dividend of zero affects the quotient. Key learning points: - If the dividend is zero, then the quotient will be zero. - Zero divided by any number is equal to zero.

Pupil outcome: I understand that numbers can be added in any order. Key learning points: - The order we add the addends does not change the sum. - Addition is commutative. - Commutative means that we can change the order of the addends...

Pupil outcome: I can adjust a number to make an addition easier. Key learning points: - If you adjust an addend you adjust the sum by the inverse. - If you add 1 to an addend you must subtract 1 from the sum. - If you subtract 1 from an...

Pupil outcome: I can use the equality and inequality symbols to compare the relative size of two numbers. Key learning points: - Use the symbols < > and = to compare pictorial representations. - Use the symbols < > and = to compare...

Pupil outcome: I can explain how one hundred thousand can be composed Key learning points: - Ten ten thousands make one hundred thousand. - One hundred one thousands make one hundred thousand. - One thousand one hundreds make one hundred...

Pupil outcome: I can represent partitioning in a column method for expanded multiplication. Key learning points: - Knowledge of times tables and place value helps when multiplying 2-digit numbers. - There are similarities between the...

Pupil outcome: I can count forwards and backwards in steps of 10, 100 and 1,000 to and from any multiple of 1,000 Key learning points: - When you don't cross a boundary, only one digit changes when you count in 10s, 100s and 1,000s -...

Pupil outcome: I can solve problems using equivalence by scaling factors. Key learning points: - When one factor is scaled and the other is scaled down by the same amount, the product remains the same. - Scaling one factor up and the...

Pupil outcome: I can explain that 10,000 is composed of 5,000s, 2,500s and 2,000s Key learning points: - 10,000 is composed of two 5,000s - 10,000 is composed of 4 2,500s - 10,000 is composed of 5 2,000s

Pupil outcome: I can explain that 100,000 is composed of 50,000s, 25,000s and 20,000s. Key learning points: - 100,000 is composed of two 50,000s - 100,000 is composed of four 25,000s - 100,000 is composed of five 20,000s

Pupil outcome: I can use knowledge of place value to calculate with decimal numbers up to and bridging one tenth. Key learning points: - 10 one hundredths is equal to one tenth or 0.1 - If 7 + 3 is equal to 10 then 7 hundredths + 3...

Pupil outcome: I can use redistribution with addition of decimal fractions. Key learning points: - If one part is increased and the other is decreased by the same amount, the whole stays the same. - If one part is decreased and the other...

Pupil outcome: You can use equivalence and compensation strategies to solve problems. Key learning points: - The part-whole structure can be used to represent additive problems. - A bar model can be used to represent additive problems. -...

Pupil outcome: I can subtract a mixed number from a mixed number explaining which strategy is most efficient. Key learning points: - To subtract mixed numbers, we need to use our fraction-sense to determine the most appropriate strategy...

Pupil outcome: I can explain how to multiply a 3-digit number by a 2-digit number. Key learning points: - Partition one of the factors. - Calculate the partial products. - Add the partial products to recombine.

Pupil outcome: I can explain how each part of a multiplication and division equation relates to a story. Key learning points: - A division equation has three parts - the dividend, the divisor and the quotient. - For grouping, the divisor...

Pupil outcome: I can explain where zero can be part of a multiplication or division expression and the impact it has. Key learning points: - When zero is a factor, the product is zero. - Zero can represent the group size or the number of...

Pupil outcome: I can scale known multiplication facts by 100 Key learning points: - If one factor is made one hundred times the size, the product will be one hundred times the size. - One factor has been multiplied by 100 so the product...

Pupil outcome: I can solve problems where a percentage part is known but the whole is unknown. Key learning points: - If I know about a part, I can work out the whole from that part. - If I know what 10% is, I can multiply by 10 to...

Pupil outcome: I can understand that dividing a number by 10 makes it ten times smaller or one tenth the size Key learning points: - 1 is ten times smaller than 10 or one tenth the size. - Dividing by ten makes the number ten times...

Pupil outcome: I can use place value to explain removing the final 2 zeros from a multiple of 100 when we divide by 100 Key learning points: - Dividing by one hundred moves all the digits two columns to the right making them one...

Pupil outcome: I can explain the relationship between multiplying a number by 10 and multiples of 10 Key learning points: - 10 is ten times the size of 1 - A digit in the tens column is 10 times the value of a digit in the ones column -...

Pupil outcome: I can explain how to multiply two non-unit fractions. Key learning points: - An area model can represent multiplication of two non-unit fractions. - When you multiply two fractions you can multiply the numerators and...