Letters (t1b)

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 1

Letters

March 10th, 2023

t1

Go to lessonup.app, log in with the code below - then sit and read!

Schedule

• Reading                                                              5 min
• Review: parabolas                                       15 min
        + linear graphs?
• Letters                                                              15 min
  
• Some practice                                              20 min
• Test ch.5                                                         20 min

Anonymous poll:
What do you think?

I have no questions about the homework, it was fine!

I have some questions, there were some confusing exercises

Homework? I didn't do it...

What happens when I fill in
x = 4 or x = -4
into a quadratic formula?

1. The answers are different
2. The answers are the same
3. It depends on the formula
4. It's impossible to tell

Step 1

Step 2

Step 3

Step 4

How to draw a graph

Plot the points

Draw a curve

Make a table

Draw a coordinate system

How to draw a graph from a quadratic formula

Given is the formula

Draw the graph.

Step 1: MAKE A TABLE

Step 2: DRAW A COORDINATE SYSTEM

Step 3: PLOT THE POINTS FROM YOUR TABLE

Step 4: DRAW A SMOOTH CURVE 

                THROUGH THE POINTS

y=​2​​1​​x​2​​−2

How to draw a graph from a quadratic formula

Given is the formula

Draw the graph.

Step 1: MAKE A TABLE

Step 2: DRAW A COORDINATE SYSTEM

Step 3: PLOT THE POINTS FROM YOUR TABLE

Step 4: DRAW A SMOOTH CURVE 

                THROUGH THE POINTS

y=​2​​1​​x​2​​−2

How to draw a graph from a quadratic formula

Given is the formula

Draw the graph.

Step 1: MAKE A TABLE

Step 2: DRAW A COORDINATE SYSTEM

Step 3: PLOT THE POINTS FROM YOUR TABLE

Step 4: DRAW A SMOOTH CURVE 

                THROUGH THE POINTS

y=​2​​1​​x​2​​−2

BOOK -->

Linear 

vs 

quadratic

Intended Learning Outcomes

At the end of the lesson you can...

• Do simple calculations with letters

Exercises chapter 6.4:

Choose a route 

in 46, 48 - 51

Done?

Great! Now try 53 - 65

Why do you think we use
letters in maths sometimes
(instead of numbers)?

Letters: adding

Numbers                                                          Letters

5+5+5+5+5+5+5

p+p+p+p+p+p+p

Exercises chapter 6.4:

Choose a route 

in 46, 48 - 51

Done?

Great! Now try 53 - 65

Simplify.

a + a + a + a - a + a = ...

1. 6a
2. 4a
3. 5a
4. 4

Simplify.

3b - b + 2b - 6b = ...

1. 2b
2. -3b
3. -2b
4. b

Letters: multiplying

Numbers                                                           Letters

4⋅5+6⋅5

4p+6p

8p⋅2

9p⋅−3q

6⋅5⋅4

Exercises chapter 6.4:

Choose a route 

in 46, 48 - 51

Done?

Great! Now try 53 - 65

Simplify:

3⋅4c=...

1. 7c
2. 7
3. 12
4. 12c

Simplify:

−6e⋅−5f=...

1. 30ef
2. -11ef
3. 11e
4. -30f

Exercises chapter 6.4:

Choose a route 

in 46, 48 - 51

Done?

Great! Now try 53 - 65

What do you think about calculating with letters?

I can probably do this!

Some rules are confusing, but it's OK I guess...

These rules hurt my brain, I need more help or examples!

Some silent practice (15 min)

Stuck?

- Read the question again carefully

- Read the nearby theory

- Copy the method from the example(s)

- Try something! --> then check with solutions

Exercises chapter 6.4:

Choose a route 

in 46, 48 - 51

Done?

Great! Now try 53 - 65

3x+5x=8x

−5a⋅3b=−15ab

Simplify:

3p⋅6q−10pq=...

1. Cannot be simplified
2. -pq
3. 10pqt
4. 18pt

Next lesson:   like terms

4p−9p

2p+10q

Test ch.5

Simplify:

12p - 4p = ...

1. Cannot be simplified
2. 3
3. 8p
4. 8

Simplify:

12p - 4q = ...

1. Cannot be simplified
2. 8pq
3. 8q
4. 8p

Last one! Simplify:

5p⋅3q−11pq=...

1. Cannot be simplified
2. 4pq
3. 0
4. -3pq