Quadratic formulas (t1b)

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 1

Quadratic formulas

February 24th

t1

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Schedule

• Reading                                                             5 min
• Announcements                                           5 min
• Review: square (roots)                              10 min
  
• Quadratic formulas                                    15 min
  
• Silent practice                                              15 min
• Extra example                                                5 min
• Practice +wrap-up                            10 + 10 min

Announcements

Got It

Don't forget: 

                70% 

           in 2F 

before Thursday before test week

Announcements

Test ch.5

- Still checking!

- How did it go?

- Still people who have to catch up

Last lesson's

Intended learning outcomes

At the end of the lesson you could...

• Calculate squares of numbers
• Calculate square roots of numbers
• Use BODMAS in calculations with squares & roots

a)5​2​​+3​2​​=

1. 8
2. 16
3. 34
4. 64

b)(−6)​2​​−4​2​​=

1. -56
2. -20
3. 2
4. 20

c)√​121​​​−5⋅√​​3​​27​​​​​+3​2​​=

1. -49
2. 5
3. 27
4. 85

a)5​2​​+3​2​​=

b)(−6)​2​​−4​2​​=

c)√​121​​​−5⋅√​​3​​27​​​​​+3​2​​=

Fill in three words (or sentences) related to formulas

This lesson's

Intended learning outcomes

At the end of the lesson you can...

• Explain the difference between a linear and a quadratic formula
• Calculate values in quadratic formula
• Find quadratic formulas in stories

Quadratic formulas

'Linear' formulas                                                    

Cost = 4 ⋅ number of kilometres + 3

Quadratic formulas

'Linear' formulas                                           

C=4k+3

Quadratic formulas

'Linear' formulas                                           

y=4x+3

Quadratic formulas

'Linear' formulas                                                       'Quadratic' formulas

----------------

y=4x+3

y=​2​​1​​x−2

2

Quadratic formulas

'Linear' formulas                                                       'Quadratic' formulas

----------------

y=4x+3

y=​2​​1​​x−2

2

OK, quadratic formulas and parabolas...
...but no one uses this in real life!

Agree

Disagree

'Linear' formulas

'Quadratic' formulas

Drag every formula to the correct side.

y = x2 - 3

N = 2k + 6

B = 5 - 3t

K = 7x + 62

A = 9 - 2h2

Filling in a quadratic formula

Given is the formula

What is y for x = 2?

What is y for x = -3?

y=​2​​1​​x​2​​−2

Given is the formula

What is y for x = 3 ?

y=2x​2​​−1

1. 5
2. 7
3. 19
4. 17

Given is the formula

What is y for x = -4 ?

y=2x​2​​−1

1. -31
2. -33
3. 31
4. 33

__________

y=2x​2​​−1

x=3

x=−4

Silent practice (10 min)

No questions for 10 minutes! :(

Read carefully    -    study  green theory box    -    look in solutions

TRY SOMETHING!

Pick a route in 21-29

Given is the formula

What is y for x = 4?

y=x​2​​−6

1. 2
2. 10
3. 96
4. -96

Given is the formula

What is y for x = 4?

y=−2x​2​​+1

1. -31
2. -15
3. 17
4. 33

Given is the formula

What is y for x = 4?

y=−​3​​1​​x​2​​−​3​​2​​

1. −8​3​​2​​
2. −7
3. −6
4. −5​3​​1​​