Tag: Maths

Rounding

L.I: Round numbers up to millions and two decimal points.

Rounding is technique used in math to round numbers to their nearest place value. It’s useful when estimating. When rounding, a way to remember whether to round up or down you have to know that is the place value next to what you are rounding is 5 or higher, round it up. But if the number beside the digit you are round is 4 and less, round it down. For example, “Round 724.54, to the nearest ones”. The answer would be 725. How? Because to round the nearest ones you have to look that the next place value. Which in this situation is the tenths column. The number in the tenths place value is 5, that means you have to round up. Since you are rounding up, the 4 in the ones place value becomes a 5. That is how when rounding 724.54 to the nearest ones equals 725.

I enjoyed this because I learnt how to round numbers by their place value.

Decimal Addition

L.I: how to add decimal numbers using algorithms.

For this task we learnt what Decimal addition is. Decimal Addition uses a method called algorithm addition. Algorithm addition is add the numbers by their place value. You have to line them vertically based on their place value, and when there are decimal points, make sure to line them up. An exampe of decimal addition is 821.3 + 982.72. First you have to line up the decimal points and the numbers by their place value, vertically. Start from the right to the left. 0 + 2 = 2, so the 2 goes under the hundredths column. Move onto the left. 3 + 7 = 10, and 10 has 2 digits. When it has 2 digits you put the 0 below the tenths column and carry over the 1. Remember to add the decimal point because all of the decimal points must line up. Move onto the ones column.  1 + 2 = 3, but remember to add the one that was carried over, making the answer 4. Place the 4 under the ones column,and move onto the left. 2 + 8 = 10, and 10 is a 2 digit number. Place the 0 under the tens column and carry over the 1. Lastly 8 + 9 = 17, but remember to add the 1 that was carried over, making the answer 18.

I enjoyed this activity because I learnt how to structure properly a decimal algorithm addition and how to solve it.

Rounding

L.I: round numbers up to millions and two decimal points.

Rounding is rounding numbers to the nearest place value. It’s useful to use when estimating. When rounding, remember that when you are rounding a place value and it is greater than 5, it goes to the number after it, and if it is less than 4, it goes lower than the number it is. For example, rounding ones, 724.54. You need to look at the ones, it is a 4, and to round, you need to look at the number to the right, 5. So you round higher. The 724.54 becomes 725.

I enjoyed this activity because I learnt what rounding is, and how to use rounding.

Long Division

L.I: To calculate the quotient of whole numbers using short division.

L.I: Carry numbers to the next column if needed.

Long division is a method used in math to divide large numbers. You will need to know your multiplication and subtraction algorithm, to be able to use this method in math. An example of long division would be 54 divided by 2. The symbol that is used in long division is called a division bracket. For example 248 divided by 8. The number being divided goes under the horizontal line. The number that is being divided by goes to the left of the vertical line. First, you see how many times can 8 go into 2. 8 cannot go into 2 because 8 is larger than 2. So you add a 0 above 2. Now you add the 4 making the 2, a 24. Now you see how many times 8 can go into 24. 8 can go into 24, 3 times. The 3 goes beside the 0. Next you do 24 – 24, which is 0. You bring down the 8, and put it beside the 0. Now you see how many times 8 goes into 8. It can go 1 time inside. So your answer is 31. To see if you are correct, you multiply 8 by 31, which is 248.

I enjoyed this activity because I learnt what long division is and how to use long divsion.

Lowest Common Multiple

L.I: How to identify the lowest common multiple.

Lowest Common Multiple is a method used in math to find the lowest common multiple between 2 numbers. To be able to identify the lowest common multiple, you should already know your times tables because it involves using the multiples of numbers. For example, to find the lowest common multiple between 14 and 56, you would have to list the multiples of both numbers, in this case 14 and 56. The multiples of 14 are 14, 28, 42, 56 … and the multiples of 56 are 56, 112, and 168. As you can see, the lowest common multiple between 14 and 56 is 56.

I enjoyed this activity because I learnt what the lowest common multiple is, and how to identify the lowest common multiple between 2 numbers.

Prime Numbers and Composite

L.I: How to identify prime numbers and composite numbers.

What is a Prime Number?

Prime Numbers are numbers that have ONLY 2 factors, the number itself and 1. A fact about prime numbers is that all prime numbers are odd, other than 2. That is because a even number cannot be a prime number for it is divisible by 2. An example of prime numbers are 2, 3, 5, 7 and 11. All of the numbers that were just listed are number that have only two factors. The number itself, and 1. 1 isn’t a prime number though, that is because it has only 1 factor.

What is a Composite Number?

A Composite Number is a number that has MORE than 2 factors. Composite Numbers an be both even and odd. A few examples of Composite Numbers are 4, 6, 8, 9, and 10. The numbers that were listed are all composite because they have more than 2 factors.

I enjoyed this activity because I learnt what a prime number and composite number is, and how to identify them.

Algorithm – Subtraction

L.I: To calculate the difference of whole numbers using algorithm.

L.I: To subtract using algorithms.

Algorithm is a method used in math to add, subtract, and multiply big numbers. To be able to use algorithm you would need to know your place value and basic number knowledge. Like times tables and simple addition or subtraction. Algorithm subtraction is lining up the numbers into their place value columns, and subtracting them that way. If their lined up into their columns, and a number less than the number their subtracting by, you carry over a one of the number to its left. Then you subtract it. If you are subtracting a small number by a large number, the answer will become a negative. And if you are subtracting a large number by a small number, the answer will be a positive.

I enjoyed this activity because I learnt a new, and easier way to subtract large numbers.

Algorithm – Multiplication

L.I: To calculate the sum of whole numbers using algorithm.

L.I: Carry numbers to the next column if needed.

Algorithm is a method used in math to add, subtract, and multiply big numbers. To be able to use algorithm you would need to know your place value and basic number knowledge. Like times tables and simple addition or subtraction. To use Algorithm Multiplication, times tables are a key. If you aren’t 100% percent sure with your times tables, your answers my not be accurate.

Multiplication Algorithm, is like the same with addition, but multiplying the numbers. If you are multiplying the ones the first answer goes under the ones column and the rest of the numbers go to the left. If the answer to a multiplication question has 2 digits, you carry over the the tens to the next number. When you move on from multiplying the ones digit to the tens, you add a zero, as a place holder. That is because you aren’t multiply to ones, but the tens. And when you are onto the hundreds column, you add 2 place holders, and so on. When are the columns are complete, you add them together to get the answer to your multiplication equation. For example, to do 143 x 253. You multiply 143 by 3. 3 times 3 is 9. 3 times 4 is 12. So you carry over the 1. And 3 times 1 is 3, and you add the 1 that you carried over, so the answer would be 4. So your answer is 429. But you still have to multiply the tens and hundreds. So you do the same process by add the place holders first.

I enjoyed this activity a lot because I learnt an easier way to multiply large numbers by large numbers. I also enjoyed this because I learnt how to use place holders. Because normally I would just leave a gap.

3D shapes

L.I: Label 3D shapes. The name and properties of 3D shapes.

3D shapes are shapes that have 3 Dimensions, length, width, and height. The properties of 3D shapes are how many faces, vertices (corners), and edges there are. For this activity we had to find everyday items that are in the shape of any 3D shape we chose, and to name the shape’s properties. We did a Cylinder as a pringles can, a sphere as a soccer ball, a cuboid as an eraser, a cube as an ice cube, a hemisphere as a bowl, and lastly, we did a rectangular prism as a book. A cuboid and a rectangular prism are the same thing.

This activity was interesting because I never knew that the faces, vertices (corners) and edges are properties.

Algorithm – Addition

L.I: To calculate the sum of whole numbers using algorithm

L.I: Carry numbers to the next column if needed.

Algorithm is a method used in math to add, subtract, and multiply big numbers. To be able to use algorithm you would need to know your place value and basic number knowledge. Like times tables and simple addition or subtraction. Algorithm Additionis lining up the numbers in their correct column and adding them that way. For example, to solve 245 + 123, you would line up the ones in it’s own colums, the tens in its own column and the hundreds in its own column. The ones would be 3 and 5, the tens would be 20 and 40, and the hundreds would be 200 and 100. You add the ones with the ones, the tens with the tens, and the hundreds with the hundreds.

I loved learning algorithm addition because it taught an easier method to add big numbers, especially if it goes up to millions, or even billions.