Revision §1.1 + §1.2 + §1.3

C1 Arithmetic with Letters
Mr. Fintelman (FNL)
Monday October 7th
2024

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C1 Arithmetic with Letters
Mr. Fintelman (FNL)
Monday October 7th
2024

Slide 1 - Slide

Date
Monday October 7th 2024
Paragraph
§1.1 Expanding Brackets
§1.2 Simplifying Fractions
Pages from the handbook
Pag. 12-22
Subject
Revision
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.
  4. … simplify fractions with letters.
  5. … add and subtract fractions with letters.
  6. … multiply and divide fractions with letters.
Prior Knowledge

Slide 3 - Slide

Examples
(a+2)(b+5)=
=(ab)+(a5)+(2b)+(25)
=(ab)+(5a)+(2b)+(10)
=ab+5a+2b+10

Slide 4 - Slide

Examples
(c+2)(d4)=
=(cd)+(c4)+(2d)+(24)
=(cd)+(4c)+(2d)+(8)
=cd4c+2d8

Slide 5 - Slide

Examples
(x+2)(x3)=
=(xx)+(x3)+(2x)+(23)
=(x2)+(3x)+(2x)+(6)
=x23x+2x6
=x2x6

Slide 6 - Slide

Examples
(6a+1)(4a+2)(5a4)(a+3)=
=24a2+12a+4a+2(5a2+15a4a12)
=24a2+12a+4a+25a215a+4a+12
=19a2+5a+14

Slide 7 - Slide

Examples
9a6a=33a23a=32
b2ab=bbab=ba
5a25abc=15a5bc5a=5bc

Slide 8 - Slide

Examples
x2+x4=x6
3a+b5=3bab+3b15=3bab+15

Slide 9 - Slide

Examples
x3y7=xy3yxy7x=xy3y7x
4ab+c5=4cabc+4c20=4cabc+20
5+b2a=b5b+b2a=b5b+2a

Slide 10 - Slide

Examples
9294=9924=818
11673=11763=7718
32÷54=3425=1210=65

Slide 11 - Slide

Examples
3aba=3baa=3ba2
3ba2c6b=3b2ca6b=6bc6ab=ca
ba÷54a=b4aa5=4ab5a=4b5

Slide 12 - 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: -

Assignments:
Choose from: Diagnostic Test, Revision or Practice Test.
Assignments from the planning of WEEK -:
Extra:
Exercises: -

Slide 13 - Slide

Now I can...
  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.
  4. … simplify fractions with letters.
  5. … add and subtract fractions with letters.
  6. … multiply and divide fractions with letters.
Reflection

Slide 14 - Slide

Date
Wednesday October 9th 2024
Paragraph
§1.3 Multiplying, Adding and Subtracting Powers
Pages from the handbook
Pag. 23-25
Subject
Revision
Today is the day...

Slide 15 - Slide

I can already…
  1. … simplify a product of powers.
  2. … simplify a sum and a difference between powers.
Prior Knowledge

Slide 16 - Slide

From the Online Revision
a(2a+3)
a2a+a3
2a2+3a

Slide 17 - Slide

From the Online Revision
(a3)(2a+3)=
a2a+a332a33=
2a2+3a6a9=
2a23a9

Slide 18 - Slide

From the Online Revision
(2a2)(4a2a+3)=
2a4a2+2aa+2a324a22a23=
8a310a2+8a6
8a32a2+6a8a2+2a6=
8a32a28a2+6a+2a6=

Slide 19 - Slide

From the Online Revision
ba+dc=
bdad+dbcb=
bdad+bdbc=
bdad+cb

Slide 20 - Slide

From the Online Revision
b8a2+2a+b=
b228a2+2b2b2(a+b)=
2b216a+2b2ab2+b3=
2b216a+ab2+b3

Slide 21 - Slide

From the Online Revision
316a9a4=39a16a4=
316a÷49a=
27a64a=2764=
22710

Slide 22 - Slide

From the Online Revision
4a33a2=
12a5
12a3+2

Slide 23 - Slide

From the Online Revision
5a2(3a+2)=
5a23a+5a22=
15a2+1+10a2=
15a3+10a2

Slide 24 - Slide

From the Online Revision
(3a25a)(2a+4)=
3a22a+3a245a2a5a4=
6a2+1+12a210a1+120a=
6a3+12a210a220a=
6a3+2a220a

Slide 25 - Slide

Examples
x2x2=xxxx=x4
y3y4=yyyyyyy=y7
3x22x2=3xx2xx=6x4

Slide 26 - Slide

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

Slide 27 - Slide

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

Slide 28 - 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: -

Assignments:
Choose from: Diagnostic Test, Revision or Practice Test.
Assignments from the planning of WEEK -:
Extra:
Exercises: -

Slide 29 - Slide

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

Slide 30 - Slide