1. 9 7-8 5-6 3-4 1-2 Year 7 - Number line Types of Number.
I can round whole numbers to the nearest 10, 100 or 1000.
I can find multiples of any numbers up to 12.
I can identify factors of two digit numbers.
I know simple tests for divisibility for 2, 3, 4, 5, 6, 8, 9
I can find all the factors of number by checking for divisibility.
I can square and cube numbers.
I can square root a number.
I can round numbers to a given number of decimal places or significant figures.
I can use the concepts and vocabulary of prime numbers, highest common factor, lowest common multiple.
I understand and can use powers (square, cube and higher).
I understand that not all numbers will have an exact square root.
I can express a number as a product of its prime factors.
I can use Prime Factor decomposition to find the LCM and HCF of a pair of numbers.
These slides are printed as an A5 booklet.

2. Lowest Common Multiple
Key Words / symbols
Never heard before?
Heard of but not sure what it means?
Know what it means and can explain it in context
Jot down your ideas here...
Factor
Multiple
Prime
Square
Square Root
Indices
Highest Common Factor
Lowest Common Multiple

3. I can find multiples of any numbers up to 12
I can round whole numbers to the nearest 10, 100 or 1000.
Fluency
Write down 5 multiples of 4.
Problem Solving
Reasoning
For each statement decide whether the statement is true or false? You must give a reason fro your answer.
3217 is 3210 when rounded to the nearest ten.
3217 is 3200 when rounded to the nearest 100.
3217 is 3000 when rounded to the nearest 1000
Jack is thinking of two numbers.
They are both multiples of 3.
When Jack adds his numbers together his answer is more than 10 and less than 20.
What numbers could Jack be thinking of?

4. I can find all the factors of number by checking for divisibility.
I can square and cube numbers.
I can square root a number.
Fluency
Problem Solving
Reasoning
What is the square root of 81? (√81)
How do you know?
David is thinking of a square number.
His number is more that 20 and less that 50.
What numbers could David be thinking of?
Ann says that 40 has more factors than 50.
Convince me that Ann is correct.

5. I can round numbers to a given number of decimal places or significant figures.
I can use the concepts and vocabulary of prime numbers, highest common factor, lowest common multiple.
Fluency
Problem Solving
Reasoning
a) Write down two prime numbers.
b) Round to 2 significant figures.
c) Round to 2 decimal places
Bill says that 4 is the Highest Common Factor of 24 and 48.
Jenny says that this is False.
Who is right? Explain your answer.
Polly Parrot squawks every 12 seconds.
Mr. Toad croaks every 9 seconds.
They both make a noise at the same time.
How many seconds before they will next make a noise at the same time?
Explain how you can use the Lowest Common Multiple to solve this problem.

6. I can express a number as a product of its prime factors.
Fluency
Write 320 as a product of its prime factors.
Problem Solving
Molly says that 455, written as a product of its prime factors is
91 x 5.
What mistake has Molly made?
Reasoning
Brian thinks that 180, written as a product of its prime factors is
2 x 2 x 3 x 3 x 3 x 5 x 5
How can I tell that Brian is wrong without drawing a prime factor tree?

7. Problem solving and reasoning.
I can use Prime Factor decomposition to find the LCM and HCF of a pair of numbers.
Fluency
Show how you can use prime factors to find the LCM of 90 and 175.
Problem solving and reasoning.
294 blue smarties, 252 pink smarties and 210 yellow smarties are shared equally among some students with none left over. What is the largest possible number of students?

8. Use the space below to set yourself a question similar to the ones you were able to answer confidently.
Use the space below to answer the question that you have set yourself
My own question…
My answer…