Parallellogram & corresponding/alternate angles (t1b)

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 1

More angles & parallellograms

March 29th, 2021

t1b

12:25

Cameras ON

Schedule

• Programme                                                                     5 min
• Test ch.5-6 answers                                                  15 min
• Review: homework  (choice)                                 10 min
• Parallellograms
   Corresponding/alternate angles                        15 min
• Practice exercise                                                       15 min
   Discuss exercise

Test ch.5-6

Choice

• Take a look at the homework in your notebook
• Think about which exercise you would like to see answered correctly
• Make a choice when the poll comes up

Options:

23, 26, 32, 33 or 34

Programme

Which exercise would you like to see?

23

26

32

33

34

What are your thoughts now about this exercise?

I still don't really understand it

I understand the explanation, but I'm not sure I can do this kind of exercise on my own

I understand and I think I can do this kind of exercise on my own

Today's

Intended Learning Outcomes

At the end of the lesson you can...

• Use the properties of parallellograms to do calculations with angles
• Recognize corresponding and alternate angles and use them to calculate angles

How would you describe a parallellogram?

Parallellograms

Parallellograms

In parallellogram
PQRS,

Calculate

∠P​1​​=100°.

∠R​4​​.

1. ∠R​2​​=80°
2. ∠R​2​​=100°
3. ∠R​2​​=260°
4. ∠R​2​​=280°

Alternate angles (Z-shape)

If you have two parallel lines, and a line between them,

"The elbow crooks in a Z-shape are the same"

Alternate angles (Z-shape)

If you have two parallel lines, and a line between them,

"The elbow crooks in a Z-shape are the same"

Alternate angles (Z-shape)

If you have two parallel lines, and a line between them,

"The elbow crooks in a Z-shape are the same"

Find out which other angle
is also 76 degrees like
Use alternate angles (Z-shape).

∠A​1​​.

1. ∠D​1​​
2. ∠D​4​​
3. ∠C​1​​
4. ∠C​2​​

Find out which other angle
is also 63 degrees like
Use alternate angles (Z-shape).

∠B​1​​.

1. ∠D​1​​
2. ∠D​4​​
3. ∠C​1​​
4. ∠C​2​​

Corresponding angles (F-shape)

If you have two parallel lines, and a line between them,

"The elbow crooks in an F-shape are also the same"

Corresponding angles (F-shape)

If you have two parallel lines, and a line between them,

"The elbow crooks in an F-shape are also the same"

Find out which angle is the
same size as
Use corresponding angles
(F-shape).

∠A​4​​.

1. ∠D​1​​
2. ∠D​4​​
3. ∠C​1​​
4. ∠C​2​​

Find out which angle is the
same size as
Use corresponding angles
(F-shape).

∠B​2​​.

1. ∠D​1​​
2. ∠D​4​​
3. ∠C​1​​
4. ∠C​2​​

Practice

Chapter 7:

Do 39 and 41 (parallellograms)

Do 53 and 54 (alternate angles)

Do 56 and 58 (corresponding angles)

Do 59 and 61 (mix)

Do 63 ór 65 (choice)

How to write down your calculations neatly

• Don't just start writing; look at the steps you want to take
• Find out where you should start: use the given information
• Write down calculations AND the rule you used each time (in brackets behind it)
• Go on until you reach the angle that was requested

What did you think of this lesson?

There was too much explaining and not enough practice

The mix between explaining and practice was fine

I have another opinion that I would like to share