§1.2 Simplifying Fractions

C1 Arithmetic with Letters
Mr. Fintelman (FNL)
Wednesday September 11th
2024

1 / 32
next
Slide 1: Slide
WiskundeMiddelbare schoolvwoLeerjaar 2

This lesson contains 32 slides, with text slides.

time-iconLesson duration is: 90 min

Items in this lesson

C1 Arithmetic with Letters
Mr. Fintelman (FNL)
Wednesday September 11th
2024

Slide 1 - Slide

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 - Slide

I can already…
  1. … simplify an expression with the following rule: a(b + c) = ab + ac
  2. … simplify an expression with the following rule: (a + b)(c + d) = ac + ad + bc + bd
  3. … simplify expressions that contain brackets.

Prior Knowledge

Slide 3 - Slide

Simplify expressions - Step by step
Determine the area of the blue shape.



Slide 4 - Slide

Simplify expressions - Step by step
Determine the area of the blue shape.



(3a+5)(2a+7)(a+1)(a1)=

Slide 5 - Slide

Simplify expressions - Step by step
Determine the area of the blue shape.



=6a2+10a+21a+35(a2+aa1)
(3a+5)(2a+7)(a+1)(a1)=

Slide 6 - Slide

Simplify expressions - Step by step
Determine the area of the blue shape.



=6a2+10a+21a+35(a2+aa1)
(3a+5)(2a+7)(a+1)(a1)=
=6a2+10a+21a+35a2a+a+1

Slide 7 - Slide

Simplify expressions - Step by step
Determine the area of the blue shape.



=6a2+10a+21a+35(a2+aa1)
(3a+5)(2a+7)(a+1)(a1)=
=6a2+10a+21a+35a2a+a+1
=5a2+31a+36

Slide 8 - Slide

After this lesson, I can...
  1. … simplify fractions with letters.
  2. … add and subtract fractions with letters.

Goals

Slide 9 - Slide

Simplify Fractions
96=...
3618=...
12525=...

Slide 10 - Slide

Simplify Fractions
96=32
3618=21
12525=51

Slide 11 - Slide

Simplify Fractions
96=3323=32
3618=218118=21
12525=525125=51

Slide 12 - Slide

Simplify Fractions with Letters
9a6a=...
b2ab=...
5a25abc=...

Slide 13 - Slide

Simplify Fractions with Letters
9a6a=33a23a=...
b2ab=bbab=...
5a25abc=15a5bc5a=...

Slide 14 - Slide

Simplify Fractions with Letters
9a6a=33a23a=32
b2ab=bbab=ba
5a25abc=15a5bc5a=5bc

Slide 15 - Slide

Adding fractions without letters
92+94=96=32
21+94=189+188=1817

Slide 16 - Slide

Adding fractions with letters
x2+x4=x6
3a+b5=3bab+3b15=3bab+15

Slide 17 - Slide

Adding fractions with letters
x3y7=...
4ab+c5=...
5+b2a=...

Slide 18 - Slide

Adding fractions with letters
x3y7=xy3yxy7x=...
4ab+c5=4cabc+4c20=...
5+b2a=b5b+b2a=...

Slide 19 - Slide

Adding fractions with letters
x3y7=xy3yxy7x=xy3y7x
4ab+c5=4cabc+4c20=4cabc+20
5+b2a=b5b+b2a=b5b+2a

Slide 20 - 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 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 - Slide

Now I can...
  1. … simplify fractions with letters.
  2. … add and subtract fractions with letters.
Reflection

Slide 22 - Slide

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 - Slide

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

Prior Knowledge

Slide 24 - Slide

Recognizing mistakes
x3y7=xy3y+xy7x=xy3y+7x
4ab+c5=cabc+c20=cabc+20
5+b2a=b5+b2a=b5+2a

Slide 25 - Slide

After this lesson, I can...
  1. … multiply and divide fractions with letters.

Goals

Slide 26 - Slide

Multiplying Fractions without Letters
9294=...
11673=...
32÷54=...

Slide 27 - Slide

Multiplying Fractions without Letters
9294=9924=818
11673=11763=7718
32÷54=3425=1210=65

Slide 28 - Slide

Multiplying Fractions with Letters
3aba=...
3ba2c6b=...
ba÷54a=...

Slide 29 - Slide

Multiplying Fractions with Letters
3aba=3baa=3ba2
3ba2c6b=3b2ca6b=6bc6ab=ca
ba÷54a=b4aa5=4ab5a=4b5

Slide 30 - 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 31 - Slide

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

Slide 32 - Slide