cross

2Tvwo Ch9 SUMMARY p.110-113 (long version)

Practice Test from Workbook 2B
= Homework for next lesson.
Ch 9 Linear equations is an important chapter.
This LessonUp is meant to:
+ pimp your knowledge and to
+ increase your skill in applying it
 You'll get some information several times, followed by a task.
1 / 36
volgende
Slide 1: Tekstslide
WiskundeMiddelbare schoolhavoLeerjaar 2

In deze les zitten 36 slides, met interactieve quizzen en tekstslides.

time-iconLesduur is: 50 min

Onderdelen in deze les

Practice Test from Workbook 2B
= Homework for next lesson.
Ch 9 Linear equations is an important chapter.
This LessonUp is meant to:
+ pimp your knowledge and to
+ increase your skill in applying it
 You'll get some information several times, followed by a task.

Slide 1 - Tekstslide

Slide 2 - Tekstslide

Slide 3 - Tekstslide

Now some practice!
+ open your Notebook
+ Copy and make the following task and
+ key in your answer in the slide after the next one
+ maybe using the 'Skill' on p.1112 (the same content as just shown)

Slide 4 - Tekstslide

 Solve linear equations
Work out on paper in your Notebook:

TASK 1:
Solve          y + 137 = 3(6y-113) - 3y



timer
2:00

Slide 5 - Tekstslide

TASK 1
y + 137 = 3(6y-113) - 3y
The solution is:
A
y = -34
B
y = 36
C
y = 34
D
y = -36

Slide 6 - Quizvraag

Solve linear equations
SOLUTION TASK 1:
Solve          y + 137 = 3(6y-113) - 3y
                     y + 137 = 18y -339 - 3y       work out brackets
                      y + 137 = 15y - 339              adding like terms
                             137 = 14y - 339              variables on one side
                            476 = 14y                          adding 339 on both sides
                               34 = y                              divide by 14
                                  y = 34

Slide 7 - Tekstslide

'New old stuff' now: 
+ reading off the p.o.i. of two graphs
+ how to calculate the p.o.i. of the graphs of two lines
+ see next slides!

Slide 8 - Tekstslide


In this example the graphs were given.
If this isn't the case, we have to
calculate the p.o.i.
How? See next slides!

Slide 9 - Tekstslide

Slide 10 - Tekstslide

Calculate point of intersection
TASK 2:
Calculate the coordinates of the point of intersection between
y = 8x + 5 and y = 11 - 2x                
Again:
+ copy and work it out in your Notebook, maybe using Method p.97 
    (the same as just shown)
+ fill in your answer in the next slide
+ the answer -the coordinates- are not whole numbers!
timer
2:30

Slide 11 - Tekstslide

TASK 2:
The p.o.i. is:
A
(9.8 , 0.6)
B
(9.6 , 0.9)
C
(6.9 , 0.8)
D
(0.6 , 9.8)

Slide 12 - Quizvraag

Calculate point of intersection
SOLUTION TASK 2:
Calculate the coordinates of the point of intersection between
y = 8x + 5 and y = 11 - 2x

8x + 5 = 11 - 2x                  
10x + 5 = 11
10x = 6
x = 0.6                     Point of intersection is (0.6, 9.8)
y=80.6+5=9.8
y=1120.6=9.8

Slide 13 - Tekstslide

Slide 14 - Tekstslide

You are doing great, 
+ going through the whole Chapter in one LessonUp!
+ refreshing your memory and 
+ practising are more important than
+ learning new things now!

Slide 15 - Tekstslide

High time for everybody's favorite (?):
solving inequalities !

Slide 16 - Tekstslide

TASK 3:
 For which values of x is are the
results for formula A greater than the results for
formula B?
Key in your answer in the next slide!

Slide 17 - Tekstslide

timer
0:20
TASK 3:
For which values of x are the results for graph A greater than the results for graph B?

Slide 18 - Woordweb

SOLUTION:
For x is greater than 30 the results for graph 
A are greater than the results for graph B.
Because then the graph for A lies higher
than the graph for B!

Slide 19 - Tekstslide

SOLVING INEQUALITIES goes on: 

Below you see the steps to take.
Next slide shows an example
 (which explains much more!).

Slide 20 - Tekstslide

Slide 21 - Tekstslide

Solve inequalities
TASK 4:
Solve 5x - 6 > 10 - 3x          

Time for action from your side!
+ copy the inequality and
+ solve it, using the 4 steps you find in the SKILL on p.112
+ key in your answer in the next slide


timer
3:00

Slide 22 - Tekstslide

TASK 4:
A
x is smaller than 4
B
x is smaller than 2
C
x is greater than 2
D
x is greater than 4

Slide 23 - Quizvraag

SOLUTION TASK 4:
Solve inequalities
Solve 5x - 6 > 10 - 3x

5x - 6 = 10 - 3x
8x - 6 = 10
8x = 16
x = 2
                 Solution: x > 2

Slide 24 - Tekstslide

Next slide is about:
rearranging (herschrijven) a formula, so that
+ you can express one variable p in  variable q so that
+  you can calculate p, when you know  q 
+ confused? you won't be, after the following explanation!

Slide 25 - Tekstslide

Slide 26 - Tekstslide

Rearrange formulas
TASK 5:
Express h in terms of t and write as short as possible:
2(h - 5) = t + 5  

+ copy this task in your Notebook and 
+ work it out, maybe using the first SKILL on p.113 (the same as just shown!)
+ key in your answer in the next slide
timer
2:00

Slide 27 - Tekstslide

TASK 5:
Rearranging 2(h-t) = t + 5
gives: ...................
21
21
21
A
h = 7.5 + 0.5t
B
h = t + 7 1/2
C
h = -0.5t + 7.5
D
h = 0.5t + 7.5

Slide 28 - Quizvraag

SOLUTION TASK 5:
Rearrange formulas
Express h in terms of t and write as short as possible:
2(h - 5) = t + 5
2h - 10 = t + 5
2h = t + 15
h = 0.5t + 7.5

Slide 29 - Tekstslide

Slide 30 - Tekstslide

Finally ....
Substitution!
In football this is something similar:
someone is taken out and 
somebody else takes his place.



Slide 31 - Tekstslide

Slide 32 - Tekstslide

Substitute formulas
TASK 6:
Substitute and simplify:
A: a  = 7 - 5t            B: t = -2h + 3. 

Once more:
+ copy this exercise and
+ work it out in your Notebook; then
+ key in your answer n the next slide

timer
2:00

Slide 33 - Tekstslide

TASK 6:
A
a = 10h - 8
B
a = 8 - 10h
C
a = -8 -10h
D
a = -8 + 10h

Slide 34 - Quizvraag

Substitute formulas
SOLUTION TASK  6:
Substitute and simplify:
A: a  = 7 - 5t            B: t = -2h + 3
a = 7 - 5(-2h + 3)
a = 7 + 10h - 15
a = 10h - 8      or a = -8 + 10h

Slide 35 - Tekstslide

Homework time
p.110-113 SUMMARY
Make (at least) four of the 8 Tasks.
Of course it makes sense trying those Tasks you find difficult!
First Study the Skill prior to (=voorafgaand aan) the Task


Slide 36 - Tekstslide