MAT104: Fundamentals of Mathematics II Final Exam Study Guide. Terminology
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1 MAT104: Fundamentals of Mathematics II Final Exam Study Guide Terminology Chapter 6: Rational Numbers and Proportional Reasoning Ratio Proportion Chapter 7: Decimals: Rational Numbers and Percent Terminating decimal Non-terminating (repeating) decimal Repetend Percent Chapter 9: Probability Experiment Outcome Sample space Event Probability Tree diagram Impossible event Certain event Mutually exclusive events Complementary events (complements) Independent events Odds in favor Odds against Conditional probability Expected value Fair game Permutations Combinations Chapter 10: Data Analysis/Statistics: An Introduction Pictograph Dot plot Outlier (and Cluster, which is a group of outliers) Stem-and-Leaf plot (and Ordered Stem-and-Leaf plot, and Back-to-Back Stem-and-Leaf Plot) Histogram Bar graph (and Double-Bar graph, and Column graph) Circle graph (Pie chart) Line graph
2 Chapter 10: Data Analysis/Statistics: An Introduction (continued) Scatterplot Trend line Mean Median Mode Bimodal Range Quartile Lower quartile ( ) Upper quartile ( ) Interquartile range (IQR) Box plot (Box-and-Whisker plot) Mean Absolute Deviation (MAD) Variance Standard Deviation Normal curve (Bell curve) Chapter 11: Introductory Geometry Look over previously distributed packet (Introductory Geometry Terminology Summary) English system Inch Foot Yard Mile Dimensional analysis (Unit analysis) Metric system Meter Kilo Hecto Deka Deci Centi Milli Mega Micro Perimeter Circumference Arc Vertical angles Supplementary angles Complementary angles Interior angles Exterior angles Alternate interior angles Alternate exterior angles Corresponding angles
3 Chapter 14: Area, Pythagorean Theorem, and Volume Area Square units Apothem Sector Square root (radical) Principal square root Radicand Pythagorean Theorem Prism Pyramid Cylinder Cone Sphere Right Oblique Regular Lateral [surface] area Surface area Slant height Volume Cubic units Fahrenheit Celsius Kelvin
4 Concepts/Skills Chapter 6: Rational Numbers and Proportional Reasoning Solving proportions Solving word problems involving ratios Chapter 7: Decimals: Rational Numbers and Percent Converting among fractions, decimals, and percents (including repeating decimals) Operations on decimals Rounding decimals Solving word problems involving percents Chapter 9: Probability Determining a sample space Calculating probabilities Basic probabilities (dice, cards, spinners, etc.) Complementary events Multistage experiments Independent events (with replacement) Dependent events (without replacement) Converting between odds and probability Calculating expected value (and determining price for fair game) Counting techniques Multiplication Exponentiation Factorials Permutations Permutations of like objects (e.g., words/phrases with repeated letters) Combinations Calculating probabilities involving counting techniques Chapter 10: Data Analysis/Statistics: An Introduction Constructing graphs Interpreting graphs Using trend lines Calculating measures of central tendency (mean, median, and mode) Calculating quartiles Calculating mean absolute deviation (MAD) Calculating standard deviation Applying normal distributions (normal curves; bell curves) Determining how statistics are abused
5 Chapter 11: Introductory Geometry Identification and classification of various geometric figures (e.g., lines, angles, polygons, etc.) Converting between different units (English, metric, or both) Calculating perimeters of polygons Calculating circumferences of circles (including arc length) Determining angle measures (including interior and exterior angles of polygons) Chapter 14: Area, Pythagorean Theorem, and Volume Converting between different units (English, metric, or both; square units; cubic units) Calculating areas of polygons Calculating areas of circles (including sector area) Simplifying square roots without a calculator (exact answers, not decimal approximations) Solving basic equations Using Pythagorean Theorem Working with and triangles Calculating surface areas of prisms, pyramids, cylinders, cones, and spheres Calculating volumes of prisms, pyramids, cylinders, cones, and spheres Converting among different temperature scales (Fahrenheit, Celsius, and Kelvin)
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