DB1N 16-6

Welcome

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Slide 1: Slide

WiskundeMiddelbare schoolvwoLeerjaar 1

This lesson contains 34 slides, with interactive quizzes and text slides.

Lesson duration is: 45 min

Items in this lesson

Welcome

Slide 1 - Slide

Planning

Prior knowledge
New theory

Slide 2 - Slide

Grab your laptop

Slide 3 - Slide

Simplify

10 a \cdot - 2 b

20ab

12ab

-20ab

Slide 4 - Quiz

Simplify

7 x y + 8 x y

14xy

14x

15xy

Slide 5 - Quiz

Simplify

- 3 a b + 7 a c

4ab

4bc

4ac

Slide 6 - Quiz

Simplify

3 a \cdot 6 a

18 a^{​ 2 ​ ​}

18a

Slide 7 - Quiz

Simplify

- 4 x \cdot - 7 y

-28xy

28xy

-11xy

Slide 8 - Quiz

Put your laptop away and grab your notebook

Slide 9 - Slide

New theory

Slide 10 - Slide

You saw how to simplify products with letters and how to simplify like terms.

Now we are going to combine these two.

Slide 11 - Slide

How would you calculate

3 \cdot 8 + 7 \cdot 5

Slide 12 - Slide

How would you calculate

3 \cdot 8 + 7 \cdot 5

3 \cdot 8 + 7 \cdot 5 =

Slide 13 - Slide

How would you calculate

3 \cdot 8 + 7 \cdot 5

first multiplication

3 \cdot 8 + 7 \cdot 5 =

3 \cdot 8 + 7 \cdot 5

Slide 14 - Slide

How would you calculate

3 \cdot 8 + 7 \cdot 5

24 + 35 =

first multiplication

3 \cdot 8 + 7 \cdot 5 =

3 \cdot 8 + 7 \cdot 5

Slide 15 - Slide

How would you calculate

3 \cdot 8 + 7 \cdot 5

24 + 35 =

first multiplication

3 \cdot 8 + 7 \cdot 5 =

then the sum

3 \cdot 8 + 7 \cdot 5

Slide 16 - Slide

How would you calculate

3 \cdot 8 + 7 \cdot 5

24 + 35 =

first multiplication

59

3 \cdot 8 + 7 \cdot 5 =

then the sum

3 \cdot 8 + 7 \cdot 5

Slide 17 - Slide

But what when there are letters in the calculation?

5 \cdot 3 a + 6 \cdot 4 a

Slide 18 - Slide

But what when there are letters in the calculation?

5 \cdot 3 a + 6 \cdot 4 a

What do you think is the first step?

Slide 19 - Slide

But what when there are letters in the calculation?

5 \cdot 3 a + 6 \cdot 4 a =

Step 1: multiplication

Write down!

Slide 20 - Slide

But what when there are letters in the calculation?

5 \cdot 3 a + 6 \cdot 4 a =

Step 1: multiplication

Write down!

15 a + 24 a =

Slide 21 - Slide

But what when there are letters in the calculation?

5 \cdot 3 a + 6 \cdot 4 a =

Step 1: multiplication

Write down!

15 a + 24 a =

What is the next step?

Slide 22 - Slide

But what when there are letters in the calculation?

5 \cdot 3 a + 6 \cdot 4 a =

Step 1: multiplication

Step 2: combine like terms

Write down!

15 a + 24 a =

Slide 23 - Slide

But what when there are letters in the calculation?

5 \cdot 3 a + 6 \cdot 4 a =

Step 1: multiplication

Step 2: combine like terms

Write down!

15 a + 24 a =

39 a

Slide 24 - Slide

Simplify

2 \cdot 9 b - 3 b \cdot 3

Write down the intermediate steps!

Slide 25 - Slide

How to simplify

6 x \cdot 5 y + 3 y \cdot z

6 x \cdot 5 y + 3 y \cdot z =

Step 1:

Write down

Slide 26 - Slide

How to simplify

6 x \cdot 5 y + 3 y \cdot z

6 x \cdot 5 y + 3 y \cdot z =

Step 1: multiplication

Write down

Slide 27 - Slide

How to simplify

6 x \cdot 5 y + 3 y \cdot z

6 x \cdot 5 y + 3 y \cdot z =

Step 1: multiplication

36 x y + 3 y z =

Write down

Slide 28 - Slide

How to simplify

6 x \cdot 5 y + 3 y \cdot z

6 x \cdot 5 y + 3 y \cdot z =

Step 1: multiplication

Step 2:

36 x y + 3 y z =

Write down

Slide 29 - Slide

How to simplify

6 x \cdot 5 y + 3 y \cdot z

6 x \cdot 5 y + 3 y \cdot z =

Step 1: multiplication

Step 2: combine like terms

36 x y + 3 y z =

Write down

Slide 30 - Slide

How to simplify

6 x \cdot 5 y + 3 y \cdot z

6 x \cdot 5 y + 3 y \cdot z =

Step 1: multiplication

Step 2: combine like terms

36 x y + 3 y z

Write down

Slide 31 - Slide

Simplify

6 a \cdot 7 b - 4 b \cdot 5 c

Write down the intermediate steps!

Slide 32 - Slide

Questions?

Slide 33 - Slide

Homework:

For Monday 21 June

Make: ex. 5, 7, 8, 10 on page 93

Slide 34 - Slide

DB1N 16-6

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