Simplifying square roots (t2a)

Simplifying square roots

January 30th, 2023

t2a

8:30

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1 / 24

Slide 1: Tekstslide

WiskundeMiddelbare schoolvwoLeerjaar 1

In deze les zitten 24 slides, met interactieve quizzen en tekstslides.

Lesduur is: 60 min

Onderdelen in deze les

Simplifying square roots

January 30th, 2023

t2a

8:30

Go to lessonup.com and fill in the code below!

Slide 1 - Tekstslide

Schedule

Starting up 5 min
Review: square roots 15 min
+ hw-check
Simplifying square roots 15 min
(Silent) practice 20 min
Gooseboard! 20 min

Slide 2 - Tekstslide

Announcements

Don't forget GOT IT!

Deadline: Thursday before test week

Slide 3 - Tekstslide

Slide 4 - Tekstslide

Review (+hw-check)

A square field has an area of 400 m². The sides get painted white for a tournament. The paint costs 3.50 per meter.
How much does it cost to paint all four sides?
Solve:
Solve:
Solve:

2 (\sqrt ​ 400 ​ ​ ​ - \sqrt ​ 49 ​ ​ ​)

(\sqrt ​ 9 ​ ​ ​)^{​ 2 ​ ​}

(3 \sqrt ​ 7 ​ ​ ​)^{​ 2 ​ ​}

Slide 5 - Tekstslide

Review question 1:
A square field of grass has an area of

What is the perimeter?

400

m^{​ 2 ​ ​}

400 m

100 m

80 m

40 m

Slide 6 - Quizvraag

Review question 2:
A square field of grass has an area of

What is the length of one of the sides?

50

m^{​ 2 ​ ​}

7.07 m

12.5 m

25 m

It's impossible to tell

Slide 7 - Quizvraag

Review question 3:
Solve.

2 (\sqrt ​ 400 ​ ​ ​ - \sqrt ​ 49 ​ ​ ​)

1.8

698

Slide 8 - Quizvraag

Review question 4:
Solve.

(\sqrt ​ 9 ​ ​ ​)^{​ 2 ​ ​}

Cannot be simplified

Slide 9 - Quizvraag

Review question 5:
Simplify.

(3 \sqrt ​ 7 ​ ​ ​)^{​ 2 ​ ​}

23.8

147

Slide 10 - Quizvraag

Intended Learning Outcomes

At the end of the lesson you can...

Calculate squares of square roots
Multiply and add square roots
Simplify square roots by factorizing

Slide 11 - Tekstslide

Intended Learning Outcomes

At the end of the lesson you can...

Calculate squares of square roots
Multiply and add square roots
Simplify square roots by factorizing

Make notes!!!

Slide 12 - Tekstslide

Squares of square roots

(3 \sqrt ​ 7 ​ ​ ​)^{​ 2 ​ ​}

(5 \sqrt ​ 2 ​ ​ ​)^{​ 2 ​ ​}

7 (\sqrt ​ 8 ​ ​ ​)^{​ 2 ​ ​}

Slide 13 - Tekstslide

Adding square roots

Letters

Square roots

Slide 14 - Tekstslide

Adding square roots

Rule for adding square roots:

Just as with letters, only add like roots, otherwise not possible!

Letters

Square roots

Slide 15 - Tekstslide

Simplify.

5 \sqrt ​ 5 ​ ​ ​ + 3 \sqrt ​ 7 ​ ​ ​

8 \sqrt ​ 12 ​ ​ ​

8 \sqrt ​ 35 ​ ​ ​

15 \sqrt ​ 12 ​ ​ ​

Cannot be simplified

Slide 16 - Quizvraag

Simplify.

5 \sqrt ​ 7 ​ ​ ​ - 9 \sqrt ​ 7 ​ ​ ​

4 \sqrt ​ 7 ​ ​ ​

-28

- 4 \sqrt ​ 7 ​ ​ ​

Cannot be simplified

Slide 17 - Quizvraag

Multiplying square roots

5 \sqrt ​ 2 ​ ​ ​ \cdot \sqrt ​ 7 ​ ​ ​

3 \sqrt ​ 5 ​ ​ ​ \cdot 4 \sqrt ​ 10 ​ ​ ​

8 \sqrt ​ 2 ​ ​ ​ \cdot 2 \sqrt ​ 8 ​ ​ ​

Slide 18 - Tekstslide

Simplify.

3 \sqrt ​ 3 ​ ​ ​ \cdot 2 \sqrt ​ 24 ​ ​ ​

5 \sqrt ​ 27 ​ ​ ​

5 \sqrt ​ 72 ​ ​ ​

6 \sqrt ​ 27 ​ ​ ​

6 \sqrt ​ 72 ​ ​ ​

Slide 19 - Quizvraag

Factorizing square roots

3 \sqrt ​ 5 ​ ​ ​ \cdot 4 \sqrt ​ 10 ​ ​ ​

3 \sqrt ​ 3 ​ ​ ​ \cdot 2 \sqrt ​ 24 ​ ​ ​

Slide 20 - Tekstslide

Simplify and factorize. Take your time!

3 \sqrt ​ 3 ​ ​ ​ \cdot 2 \sqrt ​ 24 ​ ​ ​

36 \sqrt ​ 2 ​ ​ ​

2 \sqrt ​ 36 ​ ​ ​

12

6 \sqrt ​ 2 ​ ​ ​

Slide 21 - Quizvraag

Practice

(squaring square roots)

(adding & multiplying square roots)

(factorizing square roots)

Advanced route

34, 37, 38, 39

41, 44, 45

Basic route

30def, 31abc

35, 36, 37, 38

42, 43, 44

Slide 22 - Tekstslide

Check:
Simplify, then factorize. Take your time!

2 \sqrt ​ 6 ​ ​ ​ \cdot \sqrt ​ 27 ​ ​ ​

18

9 \sqrt ​ 2 ​ ​ ​

18 \sqrt ​ 2 ​ ​ ​

9 \sqrt ​ 3 ​ ​ ​

Slide 23 - Quizvraag

Gooseboard!

Slide 24 - Tekstslide

Simplifying square roots (t2a)

Onderdelen in deze les

Slide 1 - Tekstslide

Slide 2 - Tekstslide

Slide 3 - Tekstslide

Slide 4 - Tekstslide

Slide 5 - Tekstslide

Slide 6 - Quizvraag

Slide 7 - Quizvraag

Slide 8 - Quizvraag

Slide 9 - Quizvraag

Slide 10 - Quizvraag

Slide 11 - Tekstslide

Slide 12 - Tekstslide

Slide 13 - Tekstslide

Slide 14 - Tekstslide

Slide 15 - Tekstslide

Slide 16 - Quizvraag

Slide 17 - Quizvraag

Slide 18 - Tekstslide

Slide 19 - Quizvraag

Slide 20 - Tekstslide

Slide 21 - Quizvraag

Slide 22 - Tekstslide

Slide 23 - Quizvraag

Slide 24 - Tekstslide

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