Simplifying square roots (t2a)

Simplifying square roots




January 30th, 2023
t2a
8:30
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Slide 1: Diapositive
WiskundeMiddelbare schoolvwoLeerjaar 1

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Simplifying square roots




January 30th, 2023
t2a
8:30
Go to lessonup.com and fill in the code below!

Slide 1 - Diapositive

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 - Diapositive

Announcements
Don't forget GOT IT!
Deadline: Thursday before test week

Slide 3 - Diapositive

Slide 4 - Diapositive

Review (+hw-check)
  1. 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?
  2. Solve
  3. Solve
  4. Solve
2(40049)
(9)2
(37)2

Slide 5 - Diapositive

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

What is the perimeter?
400
m2
A
400 m
B
100 m
C
80 m
D
40 m

Slide 6 - Quiz

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

What is the length of one of the sides?
50
m2
A
7.07 m
B
12.5 m
C
25 m
D
It's impossible to tell

Slide 7 - Quiz

Review question 3:
Solve.

2(40049)
A
1.8
B
26
C
33
D
698

Slide 8 - Quiz

Review question 4:
Solve.

(9)2
A
3
B
9
C
81
D
Cannot be simplified

Slide 9 - Quiz

Review question 5:
Simplify.

(37)2
A
21
B
23.8
C
63
D
147

Slide 10 - Quiz

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 - Diapositive

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 - Diapositive

Squares of square roots
(37)2
(52)2
7(8)2

Slide 13 - Diapositive

Adding square roots
Letters
Square roots

Slide 14 - Diapositive

Adding square roots





Rule for adding square roots:
Just as with letters, only add like roots, otherwise not possible!
Letters
Square roots

Slide 15 - Diapositive

Simplify.


55+37
A
812
B
835
C
1512
D
Cannot be simplified

Slide 16 - Quiz

Simplify.


5797
A
47
B
-28
C
47
D
Cannot be simplified

Slide 17 - Quiz

Multiplying square roots
527
35410
8228

Slide 18 - Diapositive

Simplify.


33224
A
527
B
572
C
627
D
672

Slide 19 - Quiz

Factorizing square roots
35410
33224

Slide 20 - Diapositive

Simplify and factorize. Take your time!


33224
A
362
B
236
C
12
D
62

Slide 21 - Quiz

Practice
 
                                                                                      (squaring square roots)
                                                                                      (adding & multiplying square roots)
                                                                                      (factorizing square roots)



Advanced route
31
34, 37, 38, 39
41, 44, 45
Basic route
30def, 31abc 
35, 36, 37, 38
42, 43, 44

Slide 22 - Diapositive

Check:
Simplify, then factorize. Take your time!


2627
A
18
B
92
C
182
D
93

Slide 23 - Quiz

Gooseboard!

Slide 24 - Diapositive