powers and letters

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Slide 1: Slide

WiskundeMiddelbare schoolhavoLeerjaar 1

This lesson contains 13 slides, with text slides.

Lesson duration is: 45 min

Items in this lesson

Slide 1 - Slide

Fill in the blank

1. = ________________= ______

2. you say as _______________

3. in , ________ is the base and ______is the ____________

4. = _______________ =_______

5. Calculate the fourth power of 3. _____________=________

5^{​ 3 ​ ​}

5^{​ 3 ​ ​}

5^{​ 3 ​ ​}

2^{​ 5 ​ ​}

timer

1:00

Slide 2 - Slide

Solve

- 40 + 3 \cdot 2^{​ 4 ​ ​}

17 + (7 - 9)^{​ 3 ​ ​} - \sqrt ​ 36 ​ ​ ​

(- 2)^{​ 4 ​ ​} + (- 3)^{​ 3 ​ ​} - 2^{​ 3 ​ ​}

timer

2:00

Slide 3 - Slide

powers and letters

At the end of the lesson, you can be able to simplify products of powers and sum and difference of like terms.

Slide 4 - Slide

Compare addition and multiplication

Addition

Times

abc +3abc

2 a^{​ 2 ​ ​} + 3 a^{​ 2 ​ ​}

2 a^{​ 2 ​ ​} \cdot 3 a^{​ 2 ​ ​}

5 a^{​ 2 ​ ​}

6 a^{​ 4 ​ ​}

7 b^{​ 3 ​ ​} - 3 b^{​ 3 ​ ​}

4 b^{​ 3 ​ ​}

7 b^{​ 3 ​ ​} \cdot 3 b^{​ 3 ​ ​}

21 b^{​ 6 ​ ​}

4 a^{​ 2 ​ ​} + 3 a^{​ 3 ​ ​}

4 a^{​ 2 ​ ​} \cdot 3 a^{​ 3 ​ ​}

12 a^{​ 5 ​ ​}

5 a b^{​ 2 ​ ​} + 2 a^{​ 2 ​ ​} b

5 a b^{​ 2 ​ ​} \cdot 2 a^{​ 2 ​ ​} b

a b c \cdot a b c

Slide 5 - Slide

In addition of expression, we only add like terms.

Like terms have the same base(letters) and the same exponent.

Slide 6 - Slide

Practice

Slide 7 - Slide

In simplifying products of power with the same base, we simply add the exponents.

Slide 8 - Slide

Practice

4 x^{​ 4 ​ ​} \cdot 2 x^{​ 5 ​ ​}

- 2 a b^{​ 3 ​ ​} \cdot 5 a^{​ 2 ​ ​} b^{​ 2 ​ ​}

- 12 x^{​ 4 ​ ​} y \cdot - \frac{​ 1 ​ ​}{​ 4 ​} x y

Slide 9 - Slide

What if?????

3 x^{​ 2 ​ ​} (4 x - 5 y)

2 a (3 a + 5 a^{​ 2 ​ ​} - 6) + 12 a^{​ 2 ​ ​}

- 2 b (3 b - 4) + 3 b (7 - 2 b^{​ ​ ​})

timer

2:00

Slide 10 - Slide

Seatwork

Do chapter 85A and 85B

with questions 62, 63, 64, 65* 69, 71, 74, 75

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Slide 13 - Slide

powers and letters

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