Download Tenacity Challenge Quiz Bowl Subject Matter Concepts

Tenacity Challenge Quiz Bowl
Subject Matter Concepts
Questions for the quiz bowl will be drawn from the subjects of algebra, geometry, physics and
chemistry. Questions will generally be drawn primarily from the subject matter concepts listed below.
However, some questions may drawn be from outside of the subject matter concepts. These
questions will, however, conform to the broad subject areas of algebra, physics, chemistry, and
physics. While SAT I math concepts are included, questions may or may not be in traditional SAT
format.
Algebra Concepts
1. Solve Equations and Inequalities - Linear equations and inequalities in one variable,
including equations and coefficient represented by letters.
2. Solving Quadratics - Solve quadratic equations in one variable.
3. Systems of Equations – Solving Linear Systems in two variables
4. Creating Equations – Create equations and inequalities in one variable and use them to solve
problems.
5. Arithmetic with Polynomials – Addition, Subtraction, and Multiplication
6. Solving Quadratics
7. Linear, Quadratic, and Exponential Models – Given a table, determine if a function is linear,
quadratic, or exponential.
Geometry Concepts
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Surface area and volume of cylinders, pyramids, cones, and spheres.
Identifying congruent triangles using the follow theorems – AAS, ASA, SSS, SAS, and HL
Applying the Pythagorean Theorem,
Finding the midpoint of a line given coordinates
Exterior Angle Area Theorem.
SAT Concepts
Number and Operations questions
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Arithmetic word problems (including percent, ratio, and proportion)
Properties of integers (even, odd, prime numbers, divisibility, and so forth)
Rational numbers
Sets (union, intersection, elements)
Counting techniques
Sequences and series (including exponential growth)
Elementary number theory
Algebra and Functions
Substitution and simplifying algebraic expressions
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Properties of exponents
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Algebraic word problems
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Solutions of linear equations and inequalities
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Systems of equations and inequalities
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Quadratic equations
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Rational and radical equations
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Equations of lines
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Absolute value
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Direct and inverse variation
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Concepts of algebraic functions
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Newly defined symbols based on commonly used operations
Geometry and measurement questions
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Area and perimeter of a polygon
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Area and circumference of a circle
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Volume of a box, cube, and cylinder
 Pythagorean theorem and special properties of isosceles, equilateral, and right triangles
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Properties of parallel and perpendicular lines
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Coordinate geometry
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Geometric visualization
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Slope
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Similarity
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Transformations
Data analysis, statistics, and probability questions
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Data interpretation (tables and graphs)
Descriptive statistics (mean, median, and mode)
Probability
Chemistry Concepts
1. Recognize discoveries from Dalton (atomic theory), Thomson (the electron), Rutherford (the
nucleus), and Bohr (planetary model of atom), and understand how each discovery leads to
modern theory.
2. Write the electron configurations for the first twenty elements of the periodic table.
3. Identify trends on the periodic table (ionization energy, electronegativity, and relative sizes of
atoms and ions).
4. Use valence-shell electron-pair repulsion theory (VSEPR) to predict the molecular
geometry (linear, trigonal planar, and tetrahedral) of simple molecules.
5. Name and write the chemical formulas for simple ionic and molecular compounds, including
those that contain the polyatomic ions: ammonium, carbonate, hydroxide, nitrate,
phosphate, and sulfate.
6. Balance chemical equations by applying the laws of conservation of mass and constant
composition (definite proportions).
7. Calculate the mass-to-mass stoichiometry for a chemical reaction.
8. Explain the difference between pure substances (elements and compounds) and mixtures.
Differentiate between heterogeneous and homogeneous mixtures
9. Using the kinetic molecular theory, explain the behavior of gases and the relationship between
pressure and volume (Boyle’s law), volume and temperature (Charles’s law), pressure and
temperature (Gay-Lussac’s law), and the number of particles in a gas sample (Avogadro’s
hypothesis). Use the combined gas law to determine changes in pressure, volume, and
temperature.
10. Perform calculations using the ideal gas law. Understand the molar volume at 273 K and 1
atmosphere (STP).
11. Using the kinetic molecular theory, describe and contrast the properties of gases, liquids, and
solids. Explain, at the molecular level, the behavior of matter as it undergoes phase
transitions.
Physics Concepts
1. Compare and contrast vector quantities (e.g., displacement, velocity, acceleration force,
linear momentum) and scalar quantities (e.g., distance, speed, energy, mass, work).
2. Create and interpret graphs of 1-dimensional motion, such as position vs. time, distance vs.
time, speed vs. time, velocity vs. time, and acceleration vs. time where acceleration is
constant.
3. Interpret and apply Newton’s three laws of motion.
4. Interpret and provide examples that illustrate the law of conservation of energy.
5. Interpret and provide examples of how energy can be converted from gravitational
potential energy to kinetic energy and vice versa.
6. Describe both qualitatively and quantitatively the concept of power as work done per unit
time.
7. Interpret and provide examples that illustrate the law of conservation of momentum.
8. Explain and provide examples of electrostatic forces and the interactions between charged
objects.
9. Describe both qualitatively and quantitatively the concept of Newton’s Law of Universal
Gravitation.