TTO1 Relations recap

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

Welcome to maths

On your desk: 

- Book

- Notebook

- Pencil, ruler

- Pen

• Log in via lessonup.com 
• 
  
• No log in yet? Register with your schoolaccount ([e-mail])
• Class code : oodxx

Done with putting the necessities on your desk 

and LessonUp is open on your device? 

• Open your book on p. 59 and read the text
• Go to p. 62 and write down what you know in your notebook without reading the text on the page. 

Today

• Recap C3 
• Do exercises
• Prepare for test 

Done with putting the necessities on your desk 

and LessonUp is open on your device? 

• Open your book on p. 59 and read the text
• Go to p. 62 and write down what you know in your notebook without reading the text on the page. 

Add a picture of this exercise:

• Draw a coordinate system. Use a scale from -10 to 10 for both axes. Use a step size of 2 for both axes. 
• Plot the following points: A(3,4), B(-2,3), C(-9,-6)

§3.1 (skip quadrants)

• Draw a coordinate system 
• Plot points and give coordinates (ordered pair)
•  Origin, x-axis, y-axis, gridpoint, coordinates (ordered pair)

How confident are you about §3.1?

😒🙁😐🙂😃

§3.2 Relationships

1. Express relationship not in words , but a formula
2. Three times as large as...., six smaller than..., three times larger..., squared, 10 minus the x-coordinate, equal to 1 and independant of,.......
3. Replace 'x' for a number to get 'y' for coordinates
4. Table of values 
5. Calculate the y-coordinate, set up a formula, read off coordinates, draw a graph

Ga de punten langs. Een krul wanneer ze het beheersen. Tel aantal krullen. Aantal krullen staat gelijk aan emoji. Dus 4 krullen, dan 4e emoji van links

How confident are you about §3.2?

😒🙁😐🙂😃

Set up a formula for the following coordinates:
(0,0), (1,3), (2,6) and (3,9)

§3.3 Formulas and graphs

1. Multiplication sign as a 'dot' or left out completely
2. Order of operations when calculating a y-coordinate
3. 1 and -1? Leave the 1 out when in front of a variable (letter)
4. Draw a graph by making a table of values,
   draw a coordinate system with a suitable scale,
   plot the points and connect them. 
5. Calculate the y-coordinate, set up a formula, read off coordinates, draw a graph

De leerlingen schrijven op wat de voorkennis is. Wat zijn ze dus al tegengekomen in §1 en §2.

How confident are you about §3.3?

😒🙁😐🙂😃

Which values do you need in the table?

x	0	1	2	3	4
y	....	....	....	....	....

y=−2x​2​​+4

1. 4 ; 8 ; 20 ; 40 ; 68
2. 4 ; 0 ; -4 ; -8 ; -12
3. 4 ; 2 ; -4 ; -14 ; -28
4. 4 ; 0 ; -12 ; -32 ; -60

§3.4 Linear and quadratic relations

1. Linear relationship --> graph is a line (constant rate), 
   number in front of 'x' is the amount of change per step
2. Quadratic relationship --> square, parabola (upward/downward),
   vertex
3. Brackets are possible in a formula 

y=−2x​2​​+4

y=−2x​​​+4

Positive number in front of x^2

Negative number in front of x^2

y=2x​2​​+4

Vraag de leerling welke formule lineair is

§3.5 Variables

1. Other relationships than the x- and y-coordinates
2. Variables--> Independent (x) and dependent (y)
3. Tables and graphs --> familiar?
4. 
   

y=−2x​2​​+4

Linear graph is a line. You need three points to draw this line

Quadratic graph (parabola) is a curve and you need at least seven points with the vertex in the middle

y=2x​​​+4

x	top	independent	horizontal
y	bottom	dependent	vertical

Copy the table

Friday - last lesson...

• HW : See notebook.
  Write down what you have already done for maths per day. Make a picture of it, because you will upload that during the lesson
  
• Preparing for the test by doing exercises? I would advice the following: Do ex. 62, 63, 64, 68, 69 and 70 on p. 83 

20-12 24-12 28-12 2-1 4-1 ...	Do exercises
22-12	Read theory
24-12 2-1	Check work
12-1 13-1	......

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