1TH/vwo §9.5 Using cards PART 1

• Wiskunde
• Middelbare school
• havo, vwo
• Leerjaar 1

Ultra short recap:

an EQUATION is something like:    23 = 7t + 9

the SOLUTION to this is:  t = 2,  because 23 = 7 x 2 + 9  , or

                                                                                    23 =  14  + 9 

                                                                                    this checks out!

§9.5

Solving equations using cards.

§ 10.5 Using cards

You will learn a NEW METHOD for

finding the SOLUTION to an EQUATION!

The good things about it are:

 1st   it's not difficult

 2nd  it works always

What more do you want from Maths?!  (or from Life, in general)

In the previous paragraph you have seen what an equation looks like and how to find a solution.

In this paragraph we will use a method called "using cards" to solve our equation.

You put a card over the term with the variable and decide what number should be written on the card.

Then you know that the term with the variable is equal to that number.

Some EXAMPLES follow now.

Let's study them carefully!

and finally one 

with brackets:

Now it's time for 

a little practice by YOU !

First a joke...

Afraid of spiders ?

Then don't watch!

For the next task ...

1. Open your Notebook and

2. get a pen or pencil from your pencil case

3. use the 'four steps Method' we just studied together

    Forgotten already? Here it is once more!

Solve this equation:

35 = 12t + 11

Copy this task in your Notebook.

Solve it in your Notebook too.

Key in the answer in the next slide.

Use the 'four steps Method'!

Solve:
35 = 12t + 11

1. -2
2. 3
3. 2
4. 24

Solution:

35 = 12t + 11

35 = 24  + 11

12t = 24

t = 2

Check:   35 = 12 x 2 + 11

                  35 = 24   +  11    , correct!

FOTOVRAAG:

COPY the task and SOLVE it in your Notebook!

Again use the four steps Method.

Finally send in a picture of your complete work in the next slide.

                                 67 = 7 + 12f

Solve: 67 = 7 + 12f

Solution:

67 = 7 + 12f

67 = 7  + 60

12f = 60

f = 5

Check:   67 = 7 + 12 x 5 = 7 + 60,  correct!

Suppose ...

+   you got this one right, then be happy!

+   you got it wrong' don't worry because ...

     you've tried so you have learnt something for sure! 

     Making the Homework you will learn much more

     about it!

Homework

H and H/V:      30, 31, 32, 33, 34

Vwo:                    the same

Hand in the lot in GC, as always.

But first check it all!