Please enable JavaScript.
Coggle requires JavaScript to display documents.
PTS Math - Coggle Diagram
PTS Math
Multiplication and factorization
Review algebraic multiplication and factorization
(a + b)(c + d) = ac + ad + bc + bd
ab + ac + bd + bc = (a + b)(c + d)
Multiplication type 1
(a + b)(a-b) = a^2 - b^2
Factorization type 1
(a+b)(a-b) = a^2 - b^2
Multiplication Type 2
(a+b)^2 = a^2 + 2ab = b^2
Factorization type 2
a^2 + 2ab + b^2 = (a+b)^2
Multiplication type 3
(a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ac
Factorization type 4
(a+b)(a^2-ab+b^2) = a^3+b^3
Multiplication type 4
A^3 + b^3 = (a+b)(a^2-ab+b^2)
M5
(a+p)(a+1)=a^2+a(p+q)+pq
F5 if A = 1
x^2+(p+q)x+pq = (x+p)(x+q)
F5 if A ≠ 1
acx^2+(ad+bc)x+bd = (ax+b)(cx+d)
M6
k1.a^n+k2a^n-1.b+k3.a^n-2.b^2...
Miscelaneous
Factorization and multiplication 1- 6
Applied Multiplication and Factorization
Converting texts into mathematics sentences
Factorization and multiplication 1-6
Statistics
Sample and population
Sample: Portion of a population taken to describe the condition of the population
Population: Set of all object with the same characteristics to be targeted research
Frequency table and statistics diagram
Bar graph
Line graph
Pie chart
Mean, Median, Mode
Mean = Total of all (Df) / Tf
Median = (arrange from small to big), n+1/2
Mode: Most frequency
Measure of spread
Q2 = median
Q1 = Lower median
Q3 = Upper median
Interquartile range: Q3-Q1
Quartile deviation: 1/2(Q3-Q1)
Simulteaneous equation and inequalities
LETV
SETV
Elimination
Subtitution
Graph
Word problem