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Minds On - Grade 9 AP Mathematics Content - Coggle Diagram
Minds On - Grade 9 AP Mathematics Content
Algebra
Using unknown values (variables) to solve math equations.
2c + 18 = 50
2c = 32
c = 16
Linear Relations
Finding slopes and y-intercept by examining linear graphs.
Find slope of line segment if rise is 6 and run is 2.
6/2 = 3
Slope is 3.
Polynomials
Polynomials are 2 or more equations put together.
2(6+8) + 4x5 + 16-4
28 + 20 + 12
= 60
Trigonometry
Trigonometry uses SOHCAHTOA to solve missing angles/sides in triangles.
Sin = Opposite/Hypotenuse
16/2
= 8
Exponents
Exponents are used to show repeating multiplying numbers
10^8
= 100000000
Linear Equations
Linear equations are often used to find slope within a linear graph, there are many equations used within linear relations.
Example:
y=mx+b
(To find y-intercept)
Data Management/Graphing
Data management uses graphs and tables to store and organize information from different things.
Types of graphs
Bar Graph -
Circle graph -
Dotted graph -
Fractions
Fractions are used to show parts of a whole with numerators and denominators.
Examples:
2/3, 3/6, 1/2
Linear Systems
Linear systems uses substitution and elimination to find values of two variables.
Substitution:
3x + y = 13
5x - 2y = 7
y = 13 - 3x
5x - 2(13 - 3x) = 7
5x - 26 + 6x = 7
11x = 33
x = 3
3(3) + y = 13
9 + y = 13
y = 4
Geometry
The math of shapes (congruent and incongruent), as well as finding perimeter, surface area, etc.
Suppose a rectangular prism has the dimensions 5x4x6. To find the surface area and volume, you'd have to use the formulas (2(lw + wh + lh) and h x l x w)
2(5x4) + 2(4x6) + 2(5x6)
40 + 48 + 60
= 148cm2
5x4x6
= 120cm3 (cubed)