What is the main purpose of using the CALCULATOR ?
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Slide 1: Mind map
WiskundeMiddelbare schoolvwoLeerjaar 1
This lesson contains 34 slides, with interactive quizzes, text slides and 1 video.
Lesson duration is: 50 min
Items in this lesson
What is the main purpose of using the CALCULATOR ?
Slide 1 - Mind map
Task 1: John orders Chips and Cola for himself and 6 friends. Prices: Chips € 2 and Cola € 1.65 How to calculate the total cost?
A
cost = 2 + 1.65 x 7
B
(2 + 1.65) x 7 = cost
C
7 x (2 +1.65) = cost
D
cost = (7 + 1.65) x 2
Slide 2 - Quiz
Explanation Task 1:
Both prices, 2 € and 1.65 €, have to be multiplied by 7, because all the 7 boys get Cola and Chips.
This is done by putting brackets over 2 + 1.65
Slide 3 - Slide
Task 2: Calculate, using your calculator: a. 13.5 + 9.2 x 8.3 =
A
89.68
B
89.86
C
98.86
D
98.68
Slide 4 - Quiz
Task 3: Calculate, using your calculator. 6.1 x (3.7 - 5.4) =
A
13.07
B
10,37
C
-10.37
D
-13.07
Slide 5 - Quiz
Task 4: 6.5 x 8.2 + 4.8 : 8 =
A
35,9
B
95.3
C
39,5
D
53.9
Slide 6 - Quiz
Comment on Task 2, 3 and 4
Calculating these exercises asks precision from you.
Not forgetting anything, for example brackets!
The funny thing is, you do not have to really understand anything about 'order of operations' for this task.
Your sillicone friend, the calculator, takes good care of that!
Slide 7 - Slide
Slide 8 - Video
Task 5: Write as decimal numbers, using your calculator. Round to 3 decimal numbers.
4228
A
0.667
B
0,667
C
0.666
D
0,666
Slide 9 - Quiz
Explanation task 5:
To write as a decimal number, rounding to 3 decimal numbers,
you can do:
- key in: '28 : 42 =' , followed by rounding,
or: use the 'a b/c' button, left column, 3rd from above:
- key in: '28 a b/c 42 ='. Now you get your answer as a fraction!
To change this into a decimal number, key in: a b/c.
Finally round again.
4228
Slide 10 - Slide
Task 6: Do the same with: 6
97
A
7.668
B
6.887
C
6.778
D
8.667
Slide 11 - Quiz
Explanation Task 6: How to key in: 6 ?
Two ways:
- 6 + 7 : 9 = , or:
- 6 a b/c 7 a b/c 9 =
Now you get the answer as a fraction. To change this to a decimal number, key in: a b/c.
Finally round your answer to 3 decimal places.
97
Slide 12 - Slide
Task 7: Do the same with: 39
5147
A
93.922
B
39,922
C
92.229
D
39.922
Slide 13 - Quiz
Task 8: Calculate and round to whole numbers: 8842 x
135
A
3400
B
3401
C
340.1
D
34.1
Slide 14 - Quiz
Instruction A :
How to solve an equation and round the answer?
Example:
Solve this equation:
47c - 38 = -7 (place a card on 47c)
47c = 31
c =
c 0.660
For this notation, see next slide!
4731
≈
Slide 15 - Slide
N Notation of an approximation: Instruction B:
The solution
is written as a decimal number as follows: 0.660
This number is rounded to 3 decimal places.
The symbol means 'is approximately equal to' and indicates that it is a rounded number.
≈
4731
4731
≈
Slide 16 - Slide
Task 9: Solve and round the following equation on paper: 17 + 16x = 40 Round your answer to 3 decimal places. Finally choose the right answer!
A
1.44
B
1.438
C
1,44
D
14.4
Slide 17 - Quiz
Explanation task 9:
Solve this equation:
17 + 16 x = 40
16 x = 23
x =
Rounded to three decimal places x 1.438
1623
≈
Slide 18 - Slide
Task 10: Solve the following equation on paper: -9v + 19 = 32 Round your answer to three decimal places. Use this sign, which means 'is approximately equal to': Finally choose the right answer!
≈
A
1.44
B
-1.444
C
-1.445
D
1,444
Slide 19 - Quiz
Explanation Task 10:
a. -9v + 19 =32
-9v = 13
v =
v -1.444
≈
−913
Slide 20 - Slide
HOMEWORK
From now on, some homework exercises appear.
If you keyed in the wrong answer, try again!
You have the choice between:
- doing extra basic exercises (purple circle), for the BLUE group (needing more help)
- doing more challenging exercises (yellow circle), for the GREEN and PURPLE group
(ready for more complicated exercises)
- doing both types of exercises (purple and yellow circles),
but remember: do at least half of all exercises!
Maybe you even do all of them.
Slide 21 - Slide
Extra BASIC: Task 11: Calculate, using your calculator: 0.5 + (4.6 + 12.4 ) : 34 =
Task 13: Which numbers(s) cannot be written as a decimal number that has exactly the same meaning?
41
32
65
54
A
2/3
only
B
1/4
and
5/6
C
5/6
and
4/5
D
2/3
and
5/6
Slide 24 - Quiz
Task 14: Extra Basic: Calculate and round to 2 decimal places: 477 x
74
A
272,57
B
227.57
C
272.57
D
227.571
Slide 25 - Quiz
Task 15: Solve this equation on paper. Use the card method. Round your answer to 3 decimal places. Finally choose the right answer.
47c - 38 = -7
A
0.660
B
0.661
C
0.659
D
0,660
Slide 26 - Quiz
CHALLENGE: Task 16: Make an equation for the following information:
27 Players of a football club will be taken to their match. 5 Of them always travel with their coach in his car. There is room for 3 players in each of the cars of the parents. Call the number of parents n. Which of the following equations is correct?
A
27 = 4n + 5
B
5n + 3 = 27
C
5 + 3n = 27
D
27 = 5n + 3
Slide 27 - Quiz
CHALLENGE: Task 17: Solve the equation from the previous slide: 5 + 3n = 27 So: calculate n, the number of parents. This number has to be rounded sensibly!
A
n = 7.333
B
n = 7
C
n = 7 .3
D
n = 8
Slide 28 - Quiz
Extra Basic Task 18: Solve this equation on paper. Round your answer to 3 decimal places. Finally choose the right answer. 2388 = 2000x + 387
A
1.0005
B
1,002
C
1.001
D
-1.001
Slide 29 - Quiz
Extra Basic: Task 19: Solve this equation on paper. Finally key in the answer, rounded to 3 decimal places: 123 = 23e - 3
A
5.47
B
5.48
C
5,48
D
5.478
Slide 30 - Quiz
Dear boys and girls, this was the final 'extra exercise'.
There is one more 'challenge exercise' to come.
Hope you learned a lot and enjoyd too!
Slide 31 - Slide
CHALLENGE: Task 20: In 2008 a world record was set for the fastest journey around the world in a speed boat. It lasted 1663.82 hours. Calculate this in days, hours and minutes. Round to whole minutes.
A
99,829.2 minutes
B
69 days, 7 hours and 49 minutes
C
69 days, 7 hours and 53 minutes
D
69 days, 7 hours and 54 minutes
Slide 32 - Quiz
Dear boys and girls, the task you've just been doing was the final homework exercise!