LO To assess my understanding of place value and types of number. RAG Key Words: Explain, Justify,...

LO To assess my understanding of place value and types of number.

RAG

Key Words: Explain, Justify, Communicate

19/04/23

Starter Activity

Have a look at the ‘Heard the Word’ Grid

Are there any key words which you know the meaning of now which you didn’t know before?

Key Words Never heard before?

Heard of but not sure what it means?

Know what it means and can explain it in contextJot down your ideas here...

Factor

Multiple

Prime Number

Square Number

Indices

Estimate

Standard Form

Level 3Round this number to the nearest 10 and then to the nearest 100.

Level 4Is this number divisible by 3? How do you know?

Is this number divisible by 7?How do you know?

Level 5

Is this number a square number?

How do you know?

144

Level 3 Level 4

Level 5

144

Level 5What is the lowest

common multiple of these two numbers. How do you

know?

Level 5What is the highest common factor of these numbers?How do you know?

48 & 60

Level 7 Show how you can use prime factor decomposition to find the Highest Common Factor and the Lowest Common Multiple of 48 and 60

Level 6Express each of these numbers as a product of its prime factors.

Level 5Write down all of the factors of each of these numbers. How do you know that you haven’t missed any out?

Level 5

Level 5

48 & 60Level 7

Level 6

Level 5

Level 4 Question Answers & Working Out

A girl worked out the cost of 8 bags of apples at 47p a bag.

Her answer was £4.06.

Use estimation to say whether you think she is right or wrong.

Explain your answer.


a)Round 2.75037 to 1 decimal place

b)Write down a number that would be 3.4 when rounded to 1 decimal place.


Kate says that 2 + 3 x 5 = 21

Is Kate right or wrong?



Give your answer correct to 4 significant figures. Show all your working out.

Level 7 Question Answer & Working OutMultiplying makes numbers bigger. When is this statement true and when is it false?

Division makes things smaller. When is this statement true and when is it false?

Level 8 Question Answer & Working Out

a) Write 734.6 in standard form

b) Write 6.3 x 10-3 as an ordinary number.

c) Sir Isaac Newton was a mathematician, physicist and astronomer. In his work on the gravitational force between two bodies he found that he needed to multiply their masses together.Work out the value of the mass of the Earth multiplied by the mass of the Moon.Give your answer in standard form.Mass of Earth = 5.98 × 1024 kgMass of Moon = 7.35 × 1022 kg

My own reflection on my learning in this unit of work.

To move my learning on I need to

To be a better learner I could………………..

To move my learning on I need to improve my understanding of………………….

Here come the answers.Highlight or tick the relevant statement on the learning journey.

Level 4This number is divisible by 3 because 144 ÷ 3 = 48

This number is not divisible by 7 because 7 x 20 = 140 and 7 x 21 = 147

Level 4

144 is a square number because 12 x 12 = 144

144

To the nearest 10 = 140

To the nearest 100 = 100

Level 5

240 is the lowest common multiple of 48 & 60

48, 96,144, 192 , 24060, 120, 160, 240

Level 5

12 is the highest common factor because it is the biggest number which is a factor of both

48 and 60.

48 & 60

Level 7

HCF –2 x 2 x 3 = 12 LCM –2 x 2 x 2 x 2 x 3 x 5

Level 62 x 2 x 2 x 2 x 3 = 48

24 x 3 = 48

2 x 2 x 3 x 5 = 6022 x 3 x 5

Level 4Factors of 48

1 & 482 & 243 & 164 & 126 & 8

Factors of 601 & 602 & 30 3 & 104 & 155 & 126 & 10


A girl worked out the cost of 8 bags of apples at 47p a bag.

Her answer was £4.06.

Use estimation to say whether you think she is right or wrong.


47p rounded to the nearest 10 is 50p

50p x 8 = £4.00

Therefore the apples must have cost less than £4.00 not more.


a)Round 2.75037 to 1 decimal place

b)Write down a number that would be 3.4 when rounded to 1 decimal place.

2.8

Any number between 3.35 and 3.44


Kate says that 2 + 3 x 5 = 21

Is Kate right or wrong?


Kate is wrongYou have to multiply first3 x 5 = 152 + 15 = 17


Give your answer correct to 4 significant figures. Show all your working out.

12.18 ÷ 1.03 = 11.8252427184466

11.83 to four significant figures


Multiplying makes numbers bigger. When is this statement true and when is it false?

False when:-Multiplying a positive number by a negative number e.g. 2 x – 3 = -6Multiplying by a number between 0 and 1e.g. 8 x 0.2 = 1.6Multiplying by 0e.g. 10 x 0 = 0True when:-Multiplying a negative number by a negative number and multiplying by a number greater than one.

Division makes things smaller. When is this statement true and when is it false?

False when:-Dividing a negative number by a negative number e.g. -6 ÷ - 3 = 2Dividing a negative number by a positive number.e.g. -8 ÷ 2 = -4Dividing by a number between 0 and 1e.g. 8 ÷ 0.2 = 40True when:-Dividing a positive number by a negative numbere.g. 8 ÷ - 4 = -2 Dividing a positive number by a number greater than one.42 ÷ 6 = 7


a) Write 734.6 in standard form

b) Write 6.3 x 10-3 as an ordinary number.

a) 7.346 x 102

b) 0.0063

c) Sir Isaac Newton was a mathematician, physicist and astronomer. In his work on the gravitational force between two bodies he found that he needed to multiply their masses together.Work out the value of the mass of the Earth multiplied by the mass of the Moon.Give your answer in standard form.Mass of Earth = 5.98 × 1024 kgMass of Moon = 7.35 × 1022 kg

5.98 x 7.35 = 43.953

1024 x 1022 = 1046

43.953 x 1046

= 4.3953 x 1047

Self Assessment

•Collect back your assessment task and the purple sheet.

•Have a look at your learning journey. Your peer has ticked the skills that you have demonstrated in this assessment.

•Pick an un-ticked skill as your target and write EBI next to it.

•Complete the self assessment boxes on the purple sheet.

To be a better learner I could................

Less Helpful Comments More Helpful Comments

Work Faster / do more Stay on task.Be neater Clearly show my working out.Try the harder ones Put my hand up to ask a question

when I don’t understand.

Talk less Make sure that when I am talking to the people on my table, I am talking about the Maths.

Listen more when the teacher is talking.

Contribute answers and questions during the explanation part of the lesson.

My own reflection on my learning in this unit of work.

To move my learning on I need to

To be a better learner I could………………..

To move my learning on I need to improve my understanding of………………….

LO To assess my understanding of place value and types of number. RAG Key Words: Explain, Justify,...

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