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§1.3 Multiplying, Adding and Subtracting Powers
C1 Arithmetic with Letters
Mr. Fintelman (FNL)
Wednesday September 25th
2024
1 / 18
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Wiskunde
Middelbare school
vwo
Leerjaar 2
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C1 Arithmetic with Letters
Mr. Fintelman (FNL)
Wednesday September 25th
2024
Slide 1 - Diapositive
Date
Wednesday September 25th 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 - Diapositive
I can already…
… simplify fractions with letters.
… add and subtract fractions with letters.
… multiply and divide fractions with letters.
Prior Knowledge
Slide 3 - Diapositive
After this lesson, I can...
… simplify a product of powers.
… simplify a sum and a difference between powers.
Goals
Slide 4 - Diapositive
Multiplying variables
x
⋅
x
⋅
x
=
.
.
.
y
⋅
y
⋅
y
⋅
y
⋅
y
=
.
.
.
x
⋅
x
⋅
y
=
.
.
.
Slide 5 - Diapositive
Multiplying variables
x
⋅
x
⋅
x
=
x
3
y
⋅
y
⋅
y
⋅
y
⋅
y
=
y
5
x
⋅
x
⋅
y
=
x
2
y
Slide 6 - Diapositive
Multiplying powers
x
2
⋅
x
2
=
.
.
.
y
3
⋅
y
4
=
.
.
.
3
x
2
⋅
2
x
2
=
.
.
.
Slide 7 - Diapositive
Multiplying powers
x
2
⋅
x
2
=
x
⋅
x
⋅
x
⋅
x
=
.
.
.
y
3
⋅
y
4
=
y
⋅
y
⋅
y
⋅
y
⋅
y
⋅
y
⋅
y
=
.
.
.
3
x
2
⋅
2
x
2
=
3
⋅
x
⋅
x
⋅
2
⋅
x
⋅
x
=
.
.
.
Slide 8 - Diapositive
Multiplying powers
x
2
⋅
x
2
=
x
⋅
x
⋅
x
⋅
x
=
x
4
y
3
⋅
y
4
=
y
⋅
y
⋅
y
⋅
y
⋅
y
⋅
y
⋅
y
=
y
7
3
x
2
⋅
2
x
2
=
3
⋅
x
⋅
x
⋅
2
⋅
x
⋅
x
=
6
x
4
Slide 9 - Diapositive
The product of powers
Slide 10 - Diapositive
Like terms
4
a
+
6
a
=
.
.
.
8
a
−
3
a
=
.
.
.
7
a
b
−
5
a
=
.
.
.
Slide 11 - Diapositive
Like terms
4
a
+
6
a
=
1
0
a
8
a
−
3
a
=
5
a
7
a
b
−
5
a
=
k
.
n
.
Slide 12 - Diapositive
Like terms
4
a
4
+
6
a
4
=
1
0
a
4
8
a
7
−
3
a
7
=
5
a
7
7
a
5
−
5
a
2
=
k
.
n
.
Slide 13 - Diapositive
Simplifying brackets
2
a
2
(
3
a
−
4
b
)
=
.
.
.
(
a
−
1
)
(
a
2
+
a
)
=
.
.
.
Slide 14 - Diapositive
Simplifying brackets
2
a
2
(
3
a
−
4
b
)
=
(
a
−
1
)
(
a
2
+
a
)
=
6
a
3
−
8
a
2
b
a
3
+
a
2
−
a
2
−
a
=
.
.
.
Slide 15 - Diapositive
Simplifying brackets
2
a
2
(
3
a
−
4
b
)
=
(
a
−
1
)
(
a
2
+
a
)
=
6
a
3
−
8
a
2
b
a
3
+
a
2
−
a
2
−
a
=
a
3
−
a
Slide 16 - Diapositive
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: 42, 43, 45, 46 and 48.
Assignments:
Pages: 23-25
Exercises: 42, 43, 45, 46 and 48.
Assignments from the planning of WEEK 3:
Extra:
Exercises: -
Slide 17 - Diapositive
Now I can...
… simplify a product of powers.
… simplify a sum and a difference between powers.
Reflection
Slide 18 - Diapositive
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