Monday, 3 June 2013

EUKLIDS WEEK 5

Hi team, sorry feeling a little bit crook on Tuesday. I have sent your work in pdf form to some key players,
so Troy, Jen, Jake, Aeran, Caleb have access to the file

 stage 7 full.pdf file,

MAKE SURE YOU GET THE STAGE 7 Full

 (pdf is a type of online document.)

Iif they go into their Google Drive it should be updated and they should be able to access it and share it with the rest of the group, get into your normal working groups and use a device to access your work for today. Work on Dividing using Place Value and Standard Written Form. 


HYPATIAS Week 5

TUESDAY
LI Learning to use standard written form when dividing

Watch the video on the link below and then click the
CLICK HERE

Once you have watched the video click on the practise this concept button below!

WEDNESDAY
LI to express division problems in multiple ways





Example: Expressing division in multiple ways: Dividing Whole Numbers and Applications 1


Click on the practice this concept button to develop these skills with some word problems










FRIDAY

LI to find the perimeter and area of 2D shapes


Area and Perimeter: Area of rectangles and triangles. Perimeter of rectangles.

This is building on your knowledge of basic facts up to 10x10 as all area problems require knowledge of multiplication. Please write in your books your understanding of how to find the area of a shape. 






Practise your perimeter by clicking HERE Practise your area knowledge by clicking HERE

Sunday, 2 June 2013

PYTHAGORANS Week 5

Tuesday

After a really successful time last week, and it definitely showed through in your test results, I think we will stick with looking at Khan Academy to support our learning.
Today we are building our knowledge of factors, as you guys seem to need a little support in this area.

LI to check if large numbers are divisible by 2,3,5,6,9,10

I would suggest watching some of the video and then trying out the next one without Khan giving the whole game away.

Divisibility Tests for 2, 3, 4, 5, 6, 9, 10: Worked example of basic divisibility tests


Write down the steps that you need to take to work out whether large numbers are divisible
Step 1: Is the number even at the end, 0,2,4,6,8 are all even numbers, even 0! If they are even you know that the number is divisible by 2.
e.g 5,670 - 0 is an even number!

Step 2: Add the numbers together in large number
e.g 5+6+7+0= 18 what can this number be divided by?

Click here to test your knowledge

And once you have completed that,
please try out these examples using lattice multiplication

1. 347 x 258=
2. 295 x 140 =
3. 1,350 x 2,380 =

Thursday

LI find factors of a number
This is linked in to yesterday's exploration of divisibility, where we could figure out what large numbers are able to be divided by.

Definition before we start:
A factor is a whole number that fits evenly into another whole number. For example, 3 is a factor of 9, because you can fit 3 evenly three times into 9: 3 x 3 = 9.

Finding Factors of a Number: Finding Factors of a Number

Okay so in your books show all of the factors of 160
Work together to get the correct answer in the test! CLICK HERE FOR A TEST

Friday


Long Division



More long division and remainder examples: More long division and remainder examples

Okay, so we are looking at long division. Which is not as fun as lattice multiplication which I am a massive fan of, but it is still a beautiful piece of mathematics, and helps us to actually understand what is happening when we divide numbers.

Try these without remainders

Try these with remainders 


Monday, 27 May 2013

WEEK 4 PYTHAGORANS

LI to use lattice multiplication to solve problems

Lattice Multiplication is the best, I am confident you guys are going to nail this concept and it will be really helpful but I would love to get your feedback.

Lattice Multiplication: Introduction to lattice multiplication



Try it with these equations, write the lattice in your books.





TUESDAY

LI to solve division problems using how many times one number will go into another

Quick revision on doubling and halving
Try these with decimals 

Okay so now we are going to look at proportional adjustment

If only it was always this straightforward, although to be honest, 3 x50 is a pretty straightforward question. For these questions work across the page




Thursday LI to identify equivalency in mult/div problems


Week 4 Hypatias

Preparations for the Mathathon have shown that some of you are a little confused around fractions and finding fractions of numbers.
To find fractions out we 


Fractions
A fraction is part of an entire object.




1
4
 
One fourth is yellow




2
4
 
Two fourths are yellow.
One half is yellow.




3
4
 
Three fourths are yellow.




4
4
 
Four fourths are yellow.
 As happy as that diagram is, with all of its happy bright cheerful colours, it doesn't necessarily help us when trying to solve 1/4 of 16.

So lets start at the beginning.
4/4=1/1= 1. 

4/4 is a fraction, but it is also a whole number. 
Because 4  ÷ 4 = 1 

If we 
were to start breaking up 4/4 into parts of 16 a quarter of sixteen is 4, a half of sixteen is 8, three quarters of sixteen is 12, and four quarters of 16 is 16.

Okay, so for a start in your books write the yellow stuff in your books and then work out

1/2 of 36.
1/4 of 20.
1/5 of 25.
3/5 of 25.

If you feel confident with this, move onto the next questions.







Tuesday

Moving back to our Mult/Div focus
LI to use the strategy compensation in mult/div




WEEK 4: EUKLIDS

Monday
L.I. I am learning to solve multiplication problems with powers

We have already looked at exponents, today we are going to quickly refresh our learning on exponents and build some more learning.


Cool, right. Lets quickly do this work to show you understand and then I want you to watch this video about adding and subtracting exponents.






Exponent Rules Part 1: Introduction to exponent rules



Tuesday
L.I. I am learning to solve multiplication problems involving positive and negative numbers(integers)

We have looked at some of these problems before, in add/sub. There were learned that.
(Positive × Positive = Positive)    + x + = +   +2 x +2=+4
(Positive × Negative = Negative) + x - = -    +2 x -2 = -4
 (Negative × Positive = Negative) - x + = -    -2 x +2 = -4
(Negative x Negative= Positive) - x - = +       -2 x -2 = +4   
- because two negatives cancel each other out. 

(Write this in your book, it will help - also highlight it)
Okay lets watch this video

Multiplying Positive and Negative Numbers: Basics of multiplication with negative numbers
Multiplying Positive and Negative Numbers: Basics of multiplication with negative numbers


Work on these answers collaboratively, please write at least three examples of correct answers in your books.
Click here

Thursday
L.I. I am learning to solve division problems using reversals
Hint, use a calculator!

For number one, do you see how the answer has been reversed and pulled back across the equals sign? So by dividing 14.79 by  4.721 you get 3.13 which is the answer to the missing blank. Again, using our knowledge of equivalency  , 3.13x 4.721 = 14.79

You will need to write the questions into your books




Saturday, 18 May 2013

Hypatias Tuesday


WARM UP
Check with Mr Phillips once you have finished your warmup.

LI to multiply using part whole strategy
5a)
Holly planted 5 rows of carrots with 30 carrots in each row.
How many carrots is this altogether?

5 x 30 = is not a question that we generally learn in our times tables, but there is one in there that we do know.
5x3= 15 and then we put the place value back in, because that 3 was actually 30, so the answer isn't 15, but 150 carrots.

Another way is to break apart the 30 into three 10s. We know 5x10=50 so we just need three 50s.
Because we already know that multiplication is repeated addition (50+50+50)=(3x50).