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§1.2 Simplifying Fractions
C1 Arithmetic with Letters
Mr. Fintelman (FNL)
Wednesday September 11th
2024
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Wiskunde
Middelbare school
vwo
Leerjaar 2
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C1 Arithmetic with Letters
Mr. Fintelman (FNL)
Wednesday September 11th
2024
Slide 1 - Diapositive
Date
Wednesday September 11th 2024
Paragraph
§1.2 Simplifying Fractions
Pages from the handbook
Pag. 17-19
Subject
Simplify fractions with letters.
Add and subtract fractions with letters.
Today is the day...
Slide 2 - Diapositive
I can already…
… simplify an expression with the following rule: a(b + c) = ab + ac
… simplify an expression with the following rule: (a + b)(c + d) = ac + ad + bc + bd
… simplify expressions that contain brackets.
Prior Knowledge
Slide 3 - Diapositive
Simplify expressions - Step by step
Determine the area of the blue shape.
Slide 4 - Diapositive
Simplify expressions - Step by step
Determine the area of the blue shape.
(
3
a
+
5
)
(
2
a
+
7
)
−
(
a
+
1
)
(
a
−
1
)
=
Slide 5 - Diapositive
Simplify expressions - Step by step
Determine the area of the blue shape.
=
6
a
2
+
1
0
a
+
2
1
a
+
3
5
−
(
a
2
+
a
−
a
−
1
)
(
3
a
+
5
)
(
2
a
+
7
)
−
(
a
+
1
)
(
a
−
1
)
=
Slide 6 - Diapositive
Simplify expressions - Step by step
Determine the area of the blue shape.
=
6
a
2
+
1
0
a
+
2
1
a
+
3
5
−
(
a
2
+
a
−
a
−
1
)
(
3
a
+
5
)
(
2
a
+
7
)
−
(
a
+
1
)
(
a
−
1
)
=
=
6
a
2
+
1
0
a
+
2
1
a
+
3
5
−
a
2
−
a
+
a
+
1
Slide 7 - Diapositive
Simplify expressions - Step by step
Determine the area of the blue shape.
=
6
a
2
+
1
0
a
+
2
1
a
+
3
5
−
(
a
2
+
a
−
a
−
1
)
(
3
a
+
5
)
(
2
a
+
7
)
−
(
a
+
1
)
(
a
−
1
)
=
=
6
a
2
+
1
0
a
+
2
1
a
+
3
5
−
a
2
−
a
+
a
+
1
=
5
a
2
+
3
1
a
+
3
6
Slide 8 - Diapositive
After this lesson, I can...
… simplify fractions with letters.
… add and subtract fractions with letters.
Goals
Slide 9 - Diapositive
Simplify Fractions
9
6
=
.
.
.
3
6
1
8
=
.
.
.
1
2
5
2
5
=
.
.
.
Slide 10 - Diapositive
Simplify Fractions
9
6
=
3
2
3
6
1
8
=
2
1
1
2
5
2
5
=
5
1
Slide 11 - Diapositive
Simplify Fractions
9
6
=
3
⋅
3
2
⋅
3
=
3
2
3
6
1
8
=
2
⋅
1
8
1
⋅
1
8
=
2
1
1
2
5
2
5
=
5
⋅
2
5
1
⋅
2
5
=
5
1
Slide 12 - Diapositive
Simplify Fractions with Letters
9
a
−
6
a
=
.
.
.
b
2
a
b
=
.
.
.
5
a
2
5
a
b
c
=
.
.
.
Slide 13 - Diapositive
Simplify Fractions with Letters
9
a
−
6
a
=
3
⋅
3
a
−
2
⋅
3
a
=
.
.
.
b
2
a
b
=
b
⋅
b
a
⋅
b
=
.
.
.
5
a
2
5
a
b
c
=
1
⋅
5
a
5
b
c
⋅
5
a
=
.
.
.
Slide 14 - Diapositive
Simplify Fractions with Letters
9
a
−
6
a
=
3
⋅
3
a
−
2
⋅
3
a
=
−
3
2
b
2
a
b
=
b
⋅
b
a
⋅
b
=
b
a
5
a
2
5
a
b
c
=
1
⋅
5
a
5
b
c
⋅
5
a
=
5
b
c
Slide 15 - Diapositive
Adding fractions without letters
9
2
+
9
4
=
9
6
=
3
2
2
1
+
9
4
=
1
8
9
+
1
8
8
=
1
8
1
7
Slide 16 - Diapositive
Adding fractions with letters
x
2
+
x
4
=
x
6
3
a
+
b
5
=
3
b
a
b
+
3
b
1
5
=
3
b
a
b
+
1
5
Slide 17 - Diapositive
Adding fractions with letters
x
3
−
y
7
=
.
.
.
4
a
b
+
c
5
=
.
.
.
5
+
b
2
a
=
.
.
.
Slide 18 - Diapositive
Adding fractions with letters
x
3
−
y
7
=
x
y
3
y
−
x
y
7
x
=
.
.
.
4
a
b
+
c
5
=
4
c
a
b
c
+
4
c
2
0
=
.
.
.
5
+
b
2
a
=
b
5
b
+
b
2
a
=
.
.
.
Slide 19 - Diapositive
Adding fractions with letters
x
3
−
y
7
=
x
y
3
y
−
x
y
7
x
=
x
y
3
y
−
7
x
4
a
b
+
c
5
=
4
c
a
b
c
+
4
c
2
0
=
4
c
a
b
c
+
2
0
5
+
b
2
a
=
b
5
b
+
b
2
a
=
b
5
b
+
2
a
Slide 20 - 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: 22, 23, 25, 26 and
28.
Assignments:
Pages: 17-19
Exercises: 23, 24, 25, 26 and
28.
Assignments from the planning of WEEK 3:
Extra:
Exercises: 27
Slide 21 - Diapositive
Now I can...
… simplify fractions with letters.
… add and subtract fractions with letters.
Reflection
Slide 22 - Diapositive
Date
Monday September 23rd 2024
Paragraph
§1.2 Simplifying Fractions
Pages from the handbook
Pag. 20-22
Subject
Multiply and divide fractions with letters
Today is the day...
Slide 23 - Diapositive
I can already…
… simplify fractions with letters.
… add and subtract fractions with letters.
Prior Knowledge
Slide 24 - Diapositive
Recognizing mistakes
x
3
−
y
7
=
x
y
3
y
+
x
y
7
x
=
x
y
3
y
+
7
x
4
a
b
+
c
5
=
c
a
b
c
+
c
2
0
=
c
a
b
c
+
2
0
5
+
b
2
a
=
b
5
+
b
2
a
=
b
5
+
2
a
Slide 25 - Diapositive
After this lesson, I can...
… multiply and divide fractions with letters.
Goals
Slide 26 - Diapositive
Multiplying Fractions without Letters
9
2
⋅
9
4
=
.
.
.
1
1
6
⋅
7
3
=
.
.
.
3
2
÷
5
4
=
.
.
.
Slide 27 - Diapositive
Multiplying Fractions without Letters
9
2
⋅
9
4
=
9
⋅
9
2
⋅
4
=
8
1
8
1
1
6
⋅
7
3
=
1
1
⋅
7
6
⋅
3
=
7
7
1
8
3
2
÷
5
4
=
3
⋅
4
2
⋅
5
=
1
2
1
0
=
6
5
Slide 28 - Diapositive
Multiplying Fractions with Letters
3
a
⋅
b
a
=
.
.
.
3
b
a
⋅
2
c
6
b
=
.
.
.
b
a
÷
5
4
a
=
.
.
.
Slide 29 - Diapositive
Multiplying Fractions with Letters
3
a
⋅
b
a
=
3
⋅
b
a
⋅
a
=
3
b
a
2
3
b
a
⋅
2
c
6
b
=
3
b
⋅
2
c
a
⋅
6
b
=
6
b
c
6
a
b
=
c
a
b
a
÷
5
4
a
=
b
⋅
4
a
a
⋅
5
=
4
a
b
5
a
=
4
b
5
Slide 30 - 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: 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 31 - Diapositive
Now I can...
… simplify fractions with letters.
… add and subtract fractions with letters.
… multiply and divide fractions with letters.
Reflection
Slide 32 - Diapositive
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La durée de la leçon est: 90 minLa durée de la leçon est: 90 min
