# 3AT Looking at probability and Circles

What would be the advantages of owning the same outfit 7 times?
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Slide 1: Open question
WiskundeMiddelbare schoolvwoLeerjaar 3

This lesson contains 20 slides, with interactive quizzes and text slides.

Lesson duration is: 60 min

## Items in this lesson

What would be the advantages of owning the same outfit 7 times?

#### Slide 1 -Open question

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How many combinations can you make with your clothes?

#### Slide 2 -Open question

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Today
Maths A or C : Start with §12A.1 and continue with §12A.2 on p. 212 and onwards. Make sure you finish §12A.1 before the end of the first lesson.
Maths B : Take notes and start with §12B.1, p. 242 and onwards.

Everyone : Check, adjust and update your planner before the end of the lesson.

#### Slide 3 -Slide

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Hand in your work on exercise R4a on p. 240

Solve the equation 4(2x-1) + x = 14
timer
1:00

#### Slide 4 -Open question

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#### Slide 5 -Slide

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§12B.1
• Pythagoras' theorem
• Coordinates
• Equation
• Show, explain, give, make or calculate
• You may skip ex. 1 and 3

Continue with §12B.2

#### Slide 6 -Slide

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§12A.1 and §12A.2
Any questions?
Samples
Most important:
- Is it reliable?
-- Equal chance of being chosen
-- Is the sample large enough

Are you able to explain if a survey is carried out correctly?
Simulations
Important
- Can you find the button on your calculator? See 'pushpin' for pictures
- Exercise 11 <-- do you understand the difference?
- Calculations and explanations
Calculator steps

#### Slide 7 -Slide

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#### Slide 8 -Open question

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§12B.2, p. 246-248
Goal
- rearrange formula
- completing the square
rearranging
Write a formula in a different form by for instance adding, subtracting and dividing on both sides. In this chapter you do this by using 'completing the square' and adding/subtracting.

completing the square

#### Slide 9 -Slide

§12B.2 | Do at least 9, 11 and 12

Continue working on C12 and/or skills
• Set a goal for yourself (notation, number of exercises, asking questions, checking your work, focus, ......)

#### Slide 10 -Slide

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§12AB.3
Maths A or C: Start by checking your work and continue with §12A.3, p.
Maths B: Take notes and continue with §12B.3, p. 250-252

#### Slide 11 -Slide

Maths B: at least 15, 16, 17 and 20
Maths A or C: 15, 16 and 17

How can you find a point of intersection?

#### Slide 12 -Open question

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What help do you need?
Goal
- rearrange
- substitute
- solve equations
- calculate point(s) of intersection of a circle and a line
Example finding the points

#### Slide 13 -Slide

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§12A.3, p. 220
• How to predict a probability
• Expectations <-> chance
•  Calculations and explanations
Calculations
part/whole*100 = percentage
or

(number of specific results)/(number of total results)*100= percentage

#### Slide 14 -Slide

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Skills 4, 5 and 6 book B, p. 40-45 ; p. 122-127 ; p. 268-273.
Look at the contents on p. 4-5,
and write down one skill you need to practice.

Ratio, Calculations, Equations, Geometry, Functions and Graphs,
Statistics, Rearranging, Decimal numbers, Inequalities,
Square roots and powers.

#### Slide 15 -Mind map

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§12.4AB
• Maths B: Check your work and continue with §12B.4, p.  254
• Maths A: Take notes and continue with §12A.4, p. 224

Everyone : Check, adjust and update your planner before the end of the lesson.

#### Slide 16 -Slide

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Calculating probabilities

#### Slide 17 -Slide

Take a screenshot of slide 2 to see if they can answer the question
You have three trousers, five shiShirtsrts and two pairs of shoes. You randomly pick an outfit. What is the probability of picking your favorite outfit?

#### Slide 18 -Open question

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#### Slide 19 -Slide

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§12B.4
Intersect, touch or no points
Intersect --> 2 points --> D > 0
Touch --> 1 point --> D = 0
No points --> 0 points --> D < 0
Difficult?
See theory on p. 256. Do you need extra help? Make sure you ask a question and check your work after every exercise you made.