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§1.3 Multiplying, Adding and Subtracting Powers
C1 Arithmetic with Letters
Mr. Fintelman (FNL)
Friday September 20th
2024
1 / 18
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Slide 1:
Tekstslide
Wiskunde
Middelbare school
vwo
Leerjaar 2
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18 slides
, met
tekstslides
.
Lesduur is:
90 min
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C1 Arithmetic with Letters
Mr. Fintelman (FNL)
Friday September 20th
2024
Slide 1 - Tekstslide
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 - Tekstslide
I can already…
… simplify fractions with letters.
… add and subtract fractions with letters.
… multiply and divide fractions with letters.
Prior Knowledge
Slide 3 - Tekstslide
After this lesson, I can...
… simplify a product of powers.
… simplify a sum and a difference between powers.
Goals
Slide 4 - Tekstslide
Multiplying variables
x
⋅
x
⋅
x
=
.
.
.
y
⋅
y
⋅
y
⋅
y
⋅
y
=
.
.
.
x
⋅
x
⋅
y
=
.
.
.
Slide 5 - Tekstslide
Multiplying variables
x
⋅
x
⋅
x
=
x
3
y
⋅
y
⋅
y
⋅
y
⋅
y
=
y
5
x
⋅
x
⋅
y
=
x
2
y
Slide 6 - Tekstslide
Multiplying powers
x
2
⋅
x
2
=
.
.
.
y
3
⋅
y
4
=
.
.
.
3
x
2
⋅
2
x
2
=
.
.
.
Slide 7 - Tekstslide
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 - Tekstslide
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 - Tekstslide
The product of powers
Slide 10 - Tekstslide
Like terms
4
a
+
6
a
=
.
.
.
8
a
−
3
a
=
.
.
.
7
a
b
−
5
a
=
.
.
.
Slide 11 - Tekstslide
Like terms
4
a
+
6
a
=
1
0
a
8
a
−
3
a
=
5
a
7
a
b
−
5
a
=
k
.
n
.
Slide 12 - Tekstslide
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 - Tekstslide
Simplifying brackets
2
a
2
(
3
a
−
4
b
)
=
.
.
.
(
a
−
1
)
(
a
2
+
a
)
=
.
.
.
Slide 14 - Tekstslide
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 - Tekstslide
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 - Tekstslide
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 - Tekstslide
Now I can...
… simplify a product of powers.
… simplify a sum and a difference between powers.
Reflection
Slide 18 - Tekstslide
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