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T4 W2 Adding and Subtracting Decimals

Hi

Jaslyn, Danita, Jake, Bailey, Michael, Uk Hlei, Kenai, Aeran, Sean and Caleb

The test results are in and apparently all you need to complete your Year 8 addition and subtraction is a little more practice...

 LI adding and subtracting decimals. 

The good news is it is not that difficult if you have your standard written algorithm down, which you all do! So make sure you line up the numbers

 1.97
-2.83

so that the decimal point is matching. If you have a problem like

1.97
-2.2 

and you are all like "there are more numbers in the 1.97 :o", remember to transfer the place value across - as that 2.2 is also a 
 1.97
-2.20

With decimal problems they can go into "negative numbers", but you seem pretty confident with subtracting where the answer is less than 0, so have confidence in yourself and your knowledge. 

The practice for both addition and subtraction is at the following link

Click here

Once you feel confident enough for an exit strategy so you can work on the figure it out, come to me and you will need to get 4/5 correct to show you are capable of adding and subtracting decimals.

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Factoring

LI simple factoring with algebraic equations

Okay, so the key point is that we are rearranging the terms inside the equation not getting rid of them. Basically this is not about solving the problem, finding out what the x, or a, or b actually is but condensing the equation down.

As he said you can always check it back.

Lets look through this example

• Factor 3x – 12.

The things that are similar in the equations are, well, both numbers can be divided by 3. If you look at the 12 you know that 12 divided by 3 =4, and 3/3=1.

 So factor the 3 number out to the front:

3x – 12 = 3(          )

When I divided the "3" out of the "3x", I was left with only the "x" remaining. I'll put that "x" as my first term inside the parentheses:


3x – 12 = 3(x         )


When I divided the "3" out of the "–12", I left a "–4" behind, so I'll put that in the parentheses, too:

                
3x – 12 = 3(x – 4)


This is my final answer:  3(x – 4)


Warning: Be careful not to drop "minus" or "plus" signs when you factor.

Okay try these examples

Factor 7x – 7.

Factor 8x - 16

Factor 4x - 8y

Factor 12y² – 5y.

Once completed, bring your work up and let me have a look and then you can create a poster sharing your learning for the algebra display wall. 

SOLVING LINEAR EQUATIONS

LI graphing linear equations
Morena team,

So we ran into some confusion around linear equations. Lets go back
we are going to graph this equation

y= 2x +3

Step 1. Create a three columned table like the one below.

Step 2. Start by picking your x values. In the table below you can see that the person has picked -4 all the way to 2.

Step 3. Work out what the y= by placing each of the x values into the equation. eg.

y=2x + 3
so
y= 2 times -4 and then add three. Remember in bedmas we do the multiplication first, then the addition.





Do this for each of your x terms which you can put in your third column, which will have the coordinates for you to graph.

Lets try doing it with the equation

y= 3x +1

Remember to use the steps above.

NEXT: actually graph those points. Remember, its always going to be a straight line.

Once you have created a table like the one above with each of your terms, read through this great tutorial on graphing the points, although you guys seem pretty capable at graphing coordinates. Click here.