Maths w/b 8th June Monday Maths Day One

Maths w/b 8th June

Monday Maths Day One

L.I To round whole and decimal numbers

Here are the important rules of rounding? If the number is a 5 or more - round up If the number is a 4 or below - round down ALWAYS LOOK AT THE COLUMN(s) TO THE RIGHT!

Method to help you round

Step 1: arrow the column you are rounding to and circle the column to the right Step 2: Cover the numbers that are not relevant Step 3: Think about the 1/100, 1/10, 1. 10,100, 1000 above or below Step 4: Apply the rules and round! Don't forget to put back in place the numbers you had covered

Task One

Round these numbers to the nearest 10

a) 8,567b) 134,765c) 332,567d) 833,099e) 5,678,978


a) 87,644b) 239,509c) 333,588d) 8,957,564e) 1,982,435f) 7,345,005


a) 89,909b) 645,609c) 23,456,875d) 382,345e) 9,129,999f) 76,844,667

Round the following numbers to the nearest whole number

There should be NO digits after the decimal point Look at the tenths- if the digit is greater or equal to 5 you round up the unit. If it is less than 5 drop it.

Round these to the nearest whole number

a) 230.6b) 66.8c) 50.9d) 422.4e) 507.2f) 0.7g) 9.3h) 56.3

Rounding to 1 decimal place (1dp)

This means that only one digit should be after the decimal place LOOK: 43.27 1. Look at the hundredths column, if the digit is equal to orgreater than 5 round UP the tenths digit.If the digit is less than 5 DROP IT.

a) 3.45b) 65. 78c) 698.34d) 345.69e) 89.08f) 101.98g) 758.23h) 9974.66

Round these to 1dp

Rounding to 2 decimal places (2dp)

There should be 2 digits after the decimal point. Look at the thousandths column- if the digit is greater or equal to 5 you round up the hundredths column. If it less than 5 you drop it

So 56.737.... 56.74

.

Rounding to 2 dp

a) 607.314b) 12.670c) 60.115d) 723.753e) 304.338f) 1.938g) 378.456h) 923.959

Extension for today

1

Tuesday Maths Day Two

L.I. To read, write, order and compare numbers up to at least 10,000,000 (ten million) and say the value of each digit

Tuesday ordering and comparing final.notebook

2

June 04, 2020


3

June 04, 2020

56,709 65,070

How do you know which number is greater?By looking at the place value columns

H T 1sTHTTHHTH ths


4

June 04, 2020

answer on next slide


5

June 04, 2020


6

June 04, 2020

>

HintLook at the first digit. Are they the same? If no, it's easy. If they are then look to the next place

value column. You must line them up underneath each other.For example:

4547

Insert the correct sign answer on next slide

Task 1: Write out the whole calculation:1) 259 2992) 3660 3605 3) 47,904 47,750 4) 100,096 100,9605) 4,040,345 4,023,5676) 6789 7834 7) 1.2 2.18) 1,345,535 1, 345,353 9) 57.08 57.310) 7899 526611) 78.89 87.9812) 4.6 4.2813) 1.11 11.1

Extension:

a=10 b=2 c= 6 d= 30

1. axb c/b2. b(axc) b(a/b)3. d/cxb d/a x b4. a2+ b2 b3 x d5. (b+c)+a d (cb)

>><<


7

June 04, 2020

>

How many did you get right?

Task 1: Write out the whole calculation:1) 259 2992) 3660 3605 3) 47,904 47,750 4) 100,096 100,9605) 4,040,345 4,023,5676) 6789 7834 7) 1.2 2.18) 1,345,535 1, 345,353 9) 57.08 57.310) 7899 526611) 78.89 87.9812) 4.6 4.2813) 1.11 11.1

Extension:

a=10 b=2 c= 6 d= 30

1. axb c/b2. b(axc) b(a/b)3. d/cxb d/a x b4. a2+ b2 b3x d5. (b+c)+a d (cb)

>><<


8

June 04, 2020

There are two mathematical terms are there for numbers which increase and decrease in size?

Ascending Descending


9

June 04, 2020

Practice saying these in the right orderCheck in the next slide

1) 44,223 44,322 44,323 44,233

2) 0.1 0.11 0.10 1.0 1.00 1.11

3) 1,233 12.33 123.3 1233 0.123

Put in Ascending order

Put these in descending ordera) 1 1.1 11 1. 11 0.11 0.01 b) 1/2 20% 0.4 60/100

60/100 1/2 0.4 20%11 1.11 1.1 1 0.11 0.01

c) 2cm 2inches 2mm 0.2m e) 1hr 150mins 1/4 hour 1/2 day 18000sec

0.2m 2inches 2cm 2mm

Extension:

1/2 day 18000sec 150min 1hr 1/4hr


10

June 04, 2020

Did you get them right?

1) 44,223 44,233, 44,322 44,323

2) 0.1 0.10 0.11 1.0 1.00 1.11

3) 0.123 12.33 123.3 1233 1,233

Put in Ascending order

Put these in descending ordera) 1 1.1 11 1. 11 0.11 0.01 b) 1/2 20% 0.4 60/100

60/100 1/2 0.4 20%11 1.11 1.1 1 0.11 0.01

c) 2cm 2inches 2mm 0.2m e) 1hr 150mins 1/4 hour 1/2 day 18000sec

0.2m 2inches 2cm 2mm

Extension:

1/2 day 18000sec 150min 1hr 1/4hr


11

June 04, 2020

Complete the worksheet attached

Task 1 1) 259 2992) 3660 3605 3) 47,904 47,7504) 100,096 100,960 5) 4,040,345 4,023,567 6) 6789 78347) 1.2 2.1 8) 1,345,535 1, 345,353 9) 57.08 57.3 10) 7899 526611) 78.89 87.98 12) 4.6 4.28 13) 1.11 11.1

Task 2: Write these numbers in ascending order.

6410 4605 5406 6504 5640

56 762 59 342 56 745 56 321

30 333 3033 3003 3003 2998

6.4 6.04 6.41 61.4 6.14

123.8 123.288 123.18 123.118 123.08 123.808

10.01 1.01 100.01 10.11 101.01

Day 2 work

Task 3: Number sentences Use the following symbols < > =

1) 566 + 653 799 + 234 2)53 x 5 17 x 12 3) 47x 6 68 x 29 4) 75 – 33 7894 – 336 5) 56 ÷ 7 783 ÷ 9

Task 4: BODMAS Write the correct sign >, < or = in each of the following.

a) (10 + 5) – 9 (10 + 9) – 5 b) 3 × (4 + 5) (3 × 4) + 5 c) (10 × 4) ÷ 2 10 × (4 ÷ 2) d) 4 x 5 ÷ 4 45 x (34 x 22) e) 45 x 3 + 4 66 ÷ 6 - 3

Challenge

Using the digits 1,2,3,4,5,6,7,8,9 as many times as you can, come up with 12 pairs of numbers which when placed together will give you an answer which is a multiple of 3

For example 1, 2 = 12 3,6 = 36.

Once you have found all 12, then place the numbers in ascending order.

Negative numbers.notebook

1

June 04, 2020

L.I : To recognise negative numbers in context and calculate the diffidencebetween negative and positive integers

Can you order these negative and positive integers?ascending order

What's the difference between the largest and smallest number?

2513 -25-1 -10answer on the next page

Wednesday: Day three


2

June 04, 2020

2513-25 -1-10

largest numbersmallest number


3

June 04, 2020

Where in the world would you find negative numbers?

answers on next slide


4

June 04, 2020

Places where would you find negative numbers?

in a lift

weather

depth

money

to show below sea level

temperature

https://www.bbc.co.uk/bitesize/topics/znwj6sg/articles/zxthnbk


5

June 04, 2020

Using a number line can help you add and subtract positive and negative numbers


6

June 04, 2020

answer on the next slide


7

June 04, 2020

4 3 6

5 41


8

June 04, 2020

When finding the difference between positive and negative numbers, what are you being asked to do?

-13 8From negative to positive, you are crossingthe 0To break up your maths, you could count to 0 and then beyond

013 8

The difference will always be a whole number answer

if you see it like a sum, you will get -13+8= -5

Remember, difference between + and - will always cross 0


9

June 04, 2020

Find the difference between -5 and 8.

What are you being asked to do?

10 2 3 4 5 6 7 8 9 1012345678910

5 8


10

June 04, 2020

Now complete the worksheet on negative numbers. Check and mark them with the answer sheet

Extension

+ -4 -5 9 12

4

3

-6

2

-2

Day three maths

Task Two

Two:

Find the difference between these

Task 3

Here is a chart of temperatures. Can you work out the differences between each of the cities for every day of the week

Complete this chart

Days of the week London and Sydney London and Helsinki Sydney and Helsinki Monday Tuesday Wednesday Thursday Friday

problem solving nrich style.notebook

1

June 04, 2020

L.I Problem solving using place value

This week, within place value,you have looked at:rounding numbersordering numbersnegative numbers

Use your knowledge to solve these word problems

Thursday: Day four


2

June 04, 2020

1.


3

June 04, 2020

2. Dora has the number 824,650

She subtracts forty thousand from her number.

She thinks her new number is 820,650

Is she correct?

Explain how you know.


4

June 04, 2020

3. Use the digit cards and statements to work out my number.

• The ten thousands and hundreds have the same digit.• The hundred thousand digit is double the tens digit.• It is a sixdigit number.• It is less than six hundred and fiftyfive thousand.

Is this the only possible solution?


5

June 04, 2020

4. Eva has ordered eight 6digit numbers.

The smallest number is 345,900

The greatest number is 347,000

All the other numbers have a digit total of 20and have no repeating digits.

What are the other six numbers?

Can you place all eight numbers in ascending order?


6

June 04, 2020

5.

explain how you knowb is wrong


7

June 04, 2020

6.


8

June 04, 2020

Whitney rounded 2,215,678 to the nearest million and wrote 2,215,000

Can you explain to Whitney what mistake she has made?

7.


9

June 04, 2020

Tommy says, “My number rounds to 16,000 to the nearest 1,000”

Alex says, “My number has one hundred.”

Jack says, “ My number is 15,990 when rounded to the nearest 10”

Dora says, “My number is 15,000 when rounded to the nearest 1,000”

Can you work out which child has which card?

8.


10

June 04, 2020

8. Answer:

Tommy AlexJack Dora


11

June 04, 2020

A company decided to build offices over ground and underground. Do you agree? Explain why.

9.


12

June 04, 2020

10. When countingforwards in tens fromany positive onedigitnumber,the last digit neverchanges.

When counting backwards in tens from any positive onedigit number, the last digit does change.

Can you find examples to show this?

Explain why this happens.

Maths w/b 8th June Monday Maths Day One

Documents