Triangle Facts:

 Triangle Facts

• The sum of all the internal angles of a triangle is always 180o no matter how the triangle is constructed.

• The length of any side of a triangle is shorter than the sum of the other two sides.

• A triangle can always be split into two right triangles no matter how the triangle is constructed.

• Trigonometry study of maths origins date back to the ancient Egyptians. 

 

Different triangles

Acute triangle

All of the angles are less than 90o.

Obtuse triangle

one of the angles is greater than 90o.

Equilateral triangle

A triangle is called an equilateral triangle when all 3 sides are equal in length. These are normally 60o

Isosceles triangle

A triangle is called an isosceles triangle when two sides are equal in length

Scalene triangle

When all three internal angles are different from one another it is a Scalene Triangle.

Hypotenuse is found by adding a squared and b squared together.

Maths week 7:

 What happens when multiplying by positive and negative numbers?

When multiplying by two positive numbers for example 5x8 = 40 it will end in a positive. If you had one negative number and one positive its will always end in a negative no matter what  for example 7x-3 = -21. That's a maths fact same with multiplying two positives you will always end with a positive number. 

What are indices? 

Indices are the little numbers shown above but next to a number or letter for example "24" 

in this case the 4 within the two numbers is the indices, an indices can also look like the one above but instead the number "2" would be replaced with a letter like "x" and so on. 

When multiplying numbers that have indices involved the one rule to follow is if the indices number is even then the final result will be positive when the indices is odd it will mean the final result would be negative. This rule never changes and will always be used when dealing with indices and having to multiply them together. 

Math's:

What we learnt in Math's

On Monday we were looking at a graph that showed emojis on it. We were then asked to describe what each emoji meant.

On Tuesday we were asked to look at a 3d cube but we couldn't see the back of it. we were asked how many had 3 faces,2 faces,1 face and no faces. 

On Thursday we got these pixel pictures and we had to see how many square we could make in that picture. But we have to do the least amount of square we can.

Today (Friday) we learnt about optimal which basically mean that ever thing you do have a another option. Like buying fruit you have to make choices. We also learnt that most math's problems have more than one answer.    

Math's

Math's:

In math's we were asked to make a rectangle 11 by 13. Then we were asked to put as fewer squares as possible. I was able to get 6 squares in a 11 by 13. A lot of other people we are able to get like 7,8 and 9. when we were finished  we had to then do the same thing to a 12  by 15 but I didn't have enough time to try that out.  

Math's: What We Have Been Doing:

In Math's we have been learning about different things we were told to make a blog post of what we have been doing. I'm going to be talking bout two things we have been learning this year. first problem:

 

It’s 5km from Jordan’s whare to where his Koro lives. It’s uphill on the way there so he can only cycle at 10kph but he can do 20kph on the way back.Jordan leaves his whare at 6pm. How long can he stop at his Koro’s whare if he wants to be back home for his favourite TV programme at 7pm?

If he was going 10kph and his Koro lives 5km away then it would take him 30 mins to get there. He will be able to stay there for 15 mins because he will be able to go twice as fast. On the way back and it will take him 15 mins. so it would take him 30 mins to get there 15 mins watching TV 15 mins on the way back which end up being a total of 1 hour.

Second Problem We Have Been Learning: 

Louise just purchased a penny-farthing bicycle. She wants to take it on a 3 kilometre ride.The front wheel on the penny-farthing bicycle has a Diameter of 70 cm. The back wheel on the cycle has a 15 cm diameter. Would the large or the small tyre get more wear and tear on a long journey?

In this one we thought logically because if you think about the smaller wheel will be taking more weight and will be harder than the big wheel. The big wheel is at the front which there's no as much weight then the back and the small wheel on any bike would take more wear in tear depending on what age/weight the best is. Like for example when your young you don't have as much weight compared to a 30 year old. So logically the small tyer will take more wear and tear.