# TTO1 Relations recap II

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Slide 1: Slide
WiskundeMiddelbare schoolhavo, vwoLeerjaar 1

This lesson contains 19 slides, with interactive quizzes and text slides.

Lesson duration is: 45 min

## Items in this lesson

#### Slide 1 -Slide

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Welcome to maths

- Book
- Notebook
- Pencil, ruler
- Pen

• Class code : oodxx
Done with putting the necessities on your desk
and LessonUp is open on your device?

• Go to p. 62 and write down what you know in your notebook without reading the text on the page.
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5:00

#### Slide 2 -Slide

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#### Slide 3 -Open question

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Today
• Recap C3
• Do exercises
• Prepare for test

#### Slide 4 -Slide

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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(4,3), B(-7,3), C(9,-6)
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2:00

#### Slide 5 -Open question

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Set up a formula for the following coordinates:
(0,4), (1,6), (2,8) and (3,10)
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2:00

#### Slide 6 -Open question

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Which values do you need in the table?

x
-3
-2
-1
0
1
y
....
....
....
....
....
y=2x2+4
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2:00
A
40; 20; 8; 4 ; 8
B
-8; -4; 0; 4 ; 0
C
-14 ; -4 ; 2 ; 4 ; 2
D
; -32 ; -12 ;0; 4 ; 0

#### Slide 7 -Quiz

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

#### Slide 8 -Slide

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§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
timer
2:00

#### Slide 9 -Slide

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
§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
timer
2:00

#### Slide 10 -Slide

De leerlingen schrijven op wat de voorkennis is. Wat zijn ze dus al tegengekomen in §1 en §2.
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=2x2+4
y=2x+4
Positive number in front of x^2
Negative number in front of x^2
y=2x2+4

#### Slide 11 -Slide

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?

y=2x2+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
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2:00

#### Slide 12 -Slide

Copy the table
What is wrong with this parabola
for the formula
y=3+x2
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1:00

#### Slide 13 -Open question

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What is wrong with this graph for formula

y = -2x + 1
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1:00

#### Slide 14 -Slide

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What is wrong with the formula?

#### Slide 15 -Open question

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y=(x2)25
x=3
y=(32)25
y=(1)25
y=15
y=4
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3:00
3-2 = 1 and not -1
y=(1)25=15=6
What is wrong with this calculation?

#### Slide 16 -Mind map

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y=54(x+1)
x=21
y=54(21+1)
y=54121
y=1121
y=121
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3:00
Order of operations. First multiplying and then adding or subtracting.
y=56=1
What is wrong with this calculation?

#### Slide 17 -Mind map

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What is wrong with this formula?

y=x+3
x
1
2
3
4
5
y
3
6
9
12
15
timer
2:00

#### Slide 18 -Open question

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Good luck. You can do it!!
Questions? You can reach me via Teams

#### Slide 19 -Slide

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