§1.3 Multiplying, Adding and Subtracting Powers

C1 Arithmetic with Letters
Mr. Fintelman (FNL)
Friday September 20th
2024

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time-iconLesson duration is: 90 min

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C1 Arithmetic with Letters
Mr. Fintelman (FNL)
Friday September 20th
2024

Slide 1 - Slide

Date
Friday September 20th 2024
Paragraph
§1.3 Multiplying, Adding and Subtracting Powers 
Pages from the handbook
Pag. 23-25
Subject
Multiplying, Adding and Subtracting Powers 
Today is the day...

Slide 2 - Slide

I can already…
  1. … simplify fractions with letters.
  2. … add and subtract fractions with letters.
  3. … multiply and divide fractions with letters.

Prior Knowledge

Slide 3 - Slide

After this lesson, I can...
  1. … simplify a product of powers.
  2. … simplify a sum and a difference between powers.

Goals

Slide 4 - Slide

Multiplying variables
xxx=...
yyyyy=...
xxy=...

Slide 5 - Slide

Multiplying variables
xxx=x3
yyyyy=y5
xxy=x2y

Slide 6 - Slide

Multiplying powers
x2x2=...
y3y4=...
3x22x2=...

Slide 7 - Slide

Multiplying powers
x2x2=xxxx=...
y3y4=yyyyyyy=...
3x22x2=3xx2xx=...

Slide 8 - Slide

Multiplying powers
x2x2=xxxx=x4
y3y4=yyyyyyy=y7
3x22x2=3xx2xx=6x4

Slide 9 - Slide

The product of powers

Slide 10 - Slide

Like terms
4a+6a=...
8a3a=...
7ab5a=...

Slide 11 - Slide

Like terms
4a+6a=10a
8a3a=5a
7ab5a=k.n.

Slide 12 - Slide

Like terms
4a4+6a4=10a4
8a73a7=5a7
7a55a2=k.n.

Slide 13 - Slide

Simplifying brackets
2a2(3a4b)=...
(a1)(a2+a)=...

Slide 14 - Slide

Simplifying brackets
2a2(3a4b)=
(a1)(a2+a)=
6a38a2b
a3+a2a2a=...

Slide 15 - Slide

Simplifying brackets
2a2(3a4b)=
(a1)(a2+a)=
6a38a2b
a3+a2a2a=
a3a

Slide 16 - Slide

Worktime
  • You work neatly by…
  • … reading the theory (again) before asking a question to your classmate.
  • raising a hand before asking a question to the teacher.
  • … if the teacher is busy, remember your question and move on.
Help:
Exercises: 22, 23, 25, 26, 28, 30, 33, 35, 36 and 37.

Assignments:
Pages: 17-22
Exercises: 23, 24, 25, 26, 28, 30, 35, 36 and 38.
Assignments from the planning of WEEK 3:
Extra:
Exercises: 27

Slide 17 - Slide

Now I can...
  1. … simplify a product of powers.
  2. … simplify a sum and a difference between powers.
Reflection

Slide 18 - Slide