PYTHAGORANS + HYPATIAS

WEEK 8

FINDING FREAKY FRACTIONS 

PYTHAGORANS WEEK 7

MONDAY
Open ended maths question to start the week

These crime statistics are nationwide, not just Nelson.

(Just in case you are wondering "where is the maths in this Mr Phillips", your ability to analyse data and come up with conclusions about that data is at the essence of Mathematics. It is the same as working out 4x7= 28, because you have identified the data and made some informed strategic thinking to get the answer.)

LEARNING INTENTION
To use compensation from tidy numbers to help me solve division problems

TUESDAY

LEARNING INTENTION
I am learning to use compensation from tidy numbers to help me solve division problems

LEARNING INTENTION
to use reversibility to help me solve division problems

Okay and just for a change of scene, try these Khan Academy division exercises with remainders
CLICK HERE


If you get stuck watch the video below





Then try this
LINK RIGHT HERE

I don't know if you guys know about the scratchpad, but it is really great and will make your working a whole heap easier on the khan academy

 Its down the bottom of the page

Where it says "show scratchpad", will make a bit of a difference with your working out of these problems!

EUKLIDS WEEK 7

EUKLIDS

MONDAY

	Triangle Area = ½ × b × h b = base h = vertical height			Square Area = a2 a = length of side
	Rectangle Area = w × h w = width h = height			Parallelogram Area = b × h b = base h = vertical height
	Trapezoid (US) Trapezium (UK) Area = ½(a+b) × h h = vertical height			Circle  Area = π × r2 Circumference = 2 × π × r r = radius
	Ellipse Area = πab			Sector Area = ½ × r2 × θ  r = radius θ = angle in radians

You will need to write out these formulas in your books as it will really help when you are solving the equations.

Test your ability!!!!!!

(For some of the problems, especially those using π (the greek letter Pi which is the ratio of a circles circumference to its diameter or θ (the greek letter Theta which represents an angle)

Geometry, what a blast. 

EUKLIDS FRIDAY

Euklids

To multiply decimal numbers:

1. Multiply the numbers just as if they were whole numbers.

• Line up the numbers on the right - do not align the decimal points.
• Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.
• Add the products.

2. Place the decimal point in the answer by starting at the right and moving a number of places equal to the sum of the decimal places in both numbers multiplied.

See how it moves three places across because in the question there were three decimals places 2.77 has two and 2.8 has one. 

37.7 x 2.8 =

3.77x2.8=

                                                            3.77x 28=

                                                          3.77 x 0.28=

Try these easy ones first

0.1 × 3.0

2: 4.0 × 0.6

3: 8.0 × 0.4

4: 0.3 × 5.0

5: 0.2 × 2.0

6: 5.0 × 0.1

7: 1.0 × 0.2

8: 0.8 × 7.0

9: 0.6 × 8.0

10: 0.5 × 5.0

Once you have completed these I have a worksheet for you sitting on my desk, so come and show me your answers and we can get you the worksheet. 

hypatias week 6

Why not give this a try and see if you can work out

8x8=
9x7=
9x6=

Did this method help?

Okay we are going to use the strategy compensation to solve multiplication problems

And we'll quickly revise 

LEARNING INTENTION
to identify place value in numbers that involve decimals

Decimal Place Value: Decimal Place Value


So what is the place value of 5 in the number
654.213?

What is the place value of 1 in the number
654.213?

What is the place value of 7 in the number
845.769?

What is the place value of 9 in the number
845.769?

Please write down the questions in your books.

Once you have completed this, write down the two numbers in word form. If you are unsure of how to do this, have a watch of this resource.

FRIDAY
LEARNING INTENTION
Put decimals on a number line

This is a quick warm up and a quick refresher of things you have already learnt. 
Spend five minutes practising on THIS LINK


Points on a number line: Points on a number line


Okay now try it for yourself

draw this number line into your book

Make sure there is an even space between each of the numbers on your number line.

Place the following numbers on the number line. If you get stuck, refer back to the video.

0.5, 2 1/4 , -4.3 , 3.9


Once you have completed this number line, show it to MR PHILLIPS and then you can continue on your xtramaths

Multiply

1: 5 × 8

2: 8 × 13

3: 14 × 14

4: 3 × 15

5: 4 × 12

6: 12 × 14

7: 3 × 11

8: 7 × 14

9: 5 × 6

10: 15 × 13

11: 3 × 3

12: 14 × 6

13: 13 × 13

14: 15 × 15

15: 14 × 9

16: 12 × 3

17: 14 × 5

18: 14 × 13

19: 3 × 14

20: 12 × 4