Download MATH II OUTLINE FIRST HALF Linear Functions/Linear

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MATH II OUTLINE
FIRST HALF
1.
2.
3.
4.
5.
6.
7.
Linear Functions/Linear Programming
a. Solving equations
b. Rewriting equations
c. Graphing linear equations and inequalities
d. Writing functions (f(x)), including slope-intercept, point-slope, 2 points, x-intercept and
y-intercept
e. Systems of equations and inequalities
f. Maximum, minimum, objective function
Polynomials
a. Exponent rules (monomials)
b. Add, subtract
c. Multiply, distributing (bi X bi, bi X tri, tri X tri)
Factoring
a. GCF
b. Difference of squares
c. Grouping
d. Trinomials
e. Cubes
Radicals
a. Simplifying
b. Add, subtract
c. Multiply (distribute, FOIL)
d. Divide (including conjugates)
e. Rational exponents
Complex Numbers
a. Simplify
b. Add, subtract
c. Multiply
d. Divide (including conjugates)
Quadratic Functions
a. Solving by: Square roots, factoring, quadratic formula, completing the square, graphing
b. Graphing – families of functions/transformations
c. Writing equations
Expansion Unit (if time allows)
a. Absolute value functions
b. Step functions
c. Piece-wise functions
SECOND HALF
1. Similarity
a. Ratios/proportions
b. Scale factors/dilations
2. Parallel Lines/Parallelograms
a. Angle relationships/proofs
b. Properties of parallelograms/proofs
3. Triangle Proofs
a. Isosceles
b. Medians
c. Perpendicular bisectors
d. Segments joining midpoints of the sides of a triangle
4. Right Triangles
a. Pythagorean Theorem
b. Special rights
c. Trig ratios
5. Circles
a. Distance formula
b. Writing equations
c. Graphing
d. Tangents
e. Angles (central, inscribed, angles made by secants)
f. Lengths of segments using secants, tangents, and chords
g. Circumference and area
h. Arc length and area of sector
i. *Systems of circles/conics (if time allows, or with Honors)
6. Area and Volume
a. Triangles
b. Quadrilaterals
c. Regular polygons
d. Cylinders, pyramids, cones, spheres
7. Probability
a. Proper notation
b. Dependent and Independent events
c. Mutually exclusive events
d. Conditional probabilities
e. Geometric probability models (extension)
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