Download contest topics - Morgan Park High School

ALGEBRA 1
2. Finding the slope of a line
PRESUMED KNOWLEDGE
3. Graphing on the Cartesian coordinate system
1. Distance - Rate formula
4. Writing equations of lines given geometric conditions
2. Vocabulary from previous math courses
3. Pythagorean Theorem
4. Perimeter and area formulas for rectangle, square, triangle
and circle
Contest IV
1. Functions
2. Using laws of exponents to solve problems
3. Simplifying radicals and operations with radicals
SPECIFIC TOPICS FOR CONTESTS
4. Triangles-similarity and proportion
5. Solving linear systems of equations
Contest I
1. Simplifying numeric expressions
Contest V
2. Performing operations with real numbers
1. Solving fractional equations.
3. Venn Diagrams
2. Solving quadratic equations and applications
4. Number Patterns
3. Simplifying complex fractions
5. Prime Factorization
4. Factoring a polynomial
6. Divisibility Tests
5. Solving verbal problems involving factoring and
fractions
Contest II
1. Solving linear inequalities
2. Performing algebraic operations with polynomials
3. Simple probability
4. Solving linear equations
5. Solving verbal problems using linear equations
6. Basic Statistics, including Mean, median, mode
Contest III [No Calculator]
1. Performing operations with polynomial fractions
GEOMETRY
Accelerated Only:
PRESUMED KNOWLEDGE
8. Polygons
1. Pythagorean Theorem
9. The Triangle Inequality
2. Perimeter, circumference, area of rectangles, triangles and
circles
Contest III [No Calculator]
1. Polygons
3. Algebra I Material from previous courses
2. Similar figures
4. Measurement in degrees/minutes/seconds
3. Geometric probability
CONTESTS II THRU V WILL BE CUMULATIVE,
CONTAINING ANY TOPIC FROM PREVIOUS
CONTESTS.
Contest IV
Similarity, Special Triangles, Isometries, Circles
SPECIFIC TOPICS FOR CONTESTS
1. 30/60/90 triangles and 45/45/90 triangles
Contest I
Points, Lines, Planes
1. Intersections and unions of geometric figures
2. Rotations, translations, and reflections in the coordinate
plane
2. Angles (vertical, bisectors, complements, and supplements)
3. Circles – angles formed by chords, secants, and tangents
3. Triangles
4. Quadilateral, rhombus, and kites
4. Perpendiculars
5. Algebra review topics: systems of equations; properties of
exponents; solving linear equations; quadratics
Accelerated Only:
5. Area of plane and three dimensional figures
Accelerated Only:
6. Basic trigonometry
6. Coordinate geometry (distance and midpoint formulas,
slope)
Contest II
7. 36/72/72 triangles
Parallels and Quadrilaterals
1. Parallels
Contest V
2. Properties of quadrilaterals including perimeter and area
problems
1. Area of plane figures
Volume, Area, Circles
2. Surface area of solids
3. Diagonals
3. Volume of solids
4. Exterior angles
5. Geometric problems involving counting
Accelerated only:
6. Coordinate Geometry ( distance, midpoint, slope)
4. lengths of chords, secants, and tangent lines
7. Quadrilateral, trapezoids, parallelograms
ALGEBRA 2
Contest IV
PRESUMED KNOWLEDGE
1. Solving systems of equations and inequalities
1. Algebra and Geometry material
2. Right triangle trigonometry
2. Vocabulary from pervious math courses
3. Trigonometric equations and the unit circle
4. Exponential and logarithmic functions
SPECIFIC TOPICS FOR CONTESTS
Accelerated only
Contest I
5. Equations of Circles
1. Geometry topics including triangle trigonometry
6. Matrix Algebra
2. Solving linear equations and inequalities
3. Solving equations involving fractions
Contest V
4. Coordinates, midpoints, slope, parallel, perpendicular
1. Permutations and combinations
2. Sequences and series (progressions)
Contest II
1. Probability and Statistics
Accelerated only
2. Simplifying radical expressions and expressions involving
fractional exponents
3. Transformations
4. Rational Functions
3. Solving absolute value equations and inequalities
5. Theory of Equations
6. Binomial Theorem
Contest III [No Calculator]
1. Determining the rational zeros of a function
2. Determining the domain and range of a function
3. Finding the inverse of a function
4. Applications of the properties of functions to combining
functions and solving word problems
5. Solving radical equations
6. Systems
7. Solving quadratic equations and inequalities
PRECALCULUS
5. Arithmetic and geometric sequences and series
6. Determining the nth term of a sequence and partial sums
PRESUMED KNOWLEDGE
1. Algebra 1, Geometry, and Algebra 2 material
Contest IV
2. Vocabulary from previous courses
1. Analytical trigonometry
2. Trig applications
SPECIFIC TOPICS FOR CONTESTS
3. Vectors
4. Determining the number of permutations and combinations
of a set
Contest I
1. Linear and quadratic functions
5. Applying the Binomial Theorem in problem solving
6. Parametric equations
2. Combining functions, including composites and inverses
3. Utilizing the properties of graphs of equations to assist in
problem solving
4. Performing operations with polynomials
Contest II
1. Polynomials and rational functions
2. Solving systems of equations and inequalities
3. Probability and Statistics
4. Performing operations involving complex numbers
Contest III [No Calculator]
1. Exponential and logarithmic functions
2. Determining the equation of a circle, an ellipse, a parabola,
and a hyperbola
3. Locating the foci of a circle, an ellipse, a parabola, and a
hyperbola
4. Matrices
Accelerated Only:
Contest V
The following topics only apply to the accelerated test (the In
Progress Test questions will be drawn from the topics in the
first four meets):
1. Calculating the sum of a series
2. Finding the limit of a convergent series
3. Graphical and intuitive investigation of limits of functions
4. DeMoivre’s theorem
5. Polar coordinates