MATH 304 -- Mathematical Topics in the Secondary Curriculum COURSE OUTLINE MATHEMATICS 7 & 8 A. NUMBER CONCEPTS Whole Numbers: Factors, Exponents, Primes, Composites, Multiples, GCF or GCD, LCM, Divisibility, Roots TECHNOLOGY STRAND: Use of 4-function calculator to investigate/compute number concepts Integers: Absolute Value, Arithmetic Rules, Arithmetic Properties Rationals: Equivalent Fractions, Fraction Arithmetic, Complex Fractions, Converting Fractions to Decimals, Scientific Notation, Negative Exponents TECHNOLOGY STRAND: Evaluate "Math Essentials Bundle" computer software as a classroom instructional tool SPACE MATHEMATICS STRAND: Scientific Notation applications Irrationals B. RATIO, PROPORTION & PER CENT Finding a Missing Part, Per Cent Exercises, Per Cent Increase/Decrease, Simple Interest, Compound Interest, Similar Triangle Relationships, Simple Right Triangle Trigonometry TECHNOLOGY STRAND: Use of 4-function calculator to compute interest Evaluate "Factory Deluxe" computer Software as a classroom instructional tool C. PROBABILITY & STATISTICS D. ALGEBRA & COORDINATE GEOMETRY Algebraic Expressions, Equation/Inequality Solutions, Coordinate Graphing TECHNOLOGY STRAND: Evaluate "The King’s Rule" and "Mighty Math: Astro Algebra" computer software as classroom instructional tools E. COMPUTER AWARENESS Computers, Computer Uses, simple BASIC commands TECHNOLOGY STRAND: Use BASIC commands with Math Lab computer exercises F. GEOMETRY & MEASUREMENT Basic Terms: Angles, Triangles, Quadrilaterals, Circles, Intersecting Planes, Interior & Central Angles of Polygons, Solids, Measurement Units, Surface Area & Volume, Pythagorean Theorem, Similar Figures, Scale Factor, Ratio of Perimeters, Ratio o f Areas SEQUENTIAL MATHEMATICS 1 and 2 A. LOGIC Open Sentences, Truth Tables, Related Conditionals, Laws of Reasoning, Tautologies, Development of Proof B. ALGEBRA Real Number Properties, Algebraic Expressions, Polynomials, Arithmetic with Algebraic Expressions, Factoring, Solution of Equations & Inequalities, Ratio & proportion, Irrational Numbers SPACE MATHEMATICS STRAND: Time/Speed/Distance Application Exercises C. GEOMETRY Undefined Terms, Geometric Terms/Shapes, Triangles, Quadrilaterals, Polygons, Circle, Congruence & Similarity, Solids, Parallel Lines, Construction & Proofs SPACE MATHEMATICS STRAND: Volume and Surface Area Application Exercises D. ANALYTIC GEOMETRY Rectangular Coordinates, Slope, Direct Variation, Graphic Solution of a Linear Equation System, Algebraic Solution of a Linear System, Length & Midpoint of Line Segment, Conics, Loci TECHNOLOGY STRAND: Evaluate "Green Globs & Graphing Equations" computer Software as a classroom instructional tool E. PROBABILITY AND COMBINATORICS Permutation Concepts, Counting Procedures, Combinations, Statistics, Mean/Median/Mode, Percentiles TECHNOLOGY STRAND: Use a Scientific Calculator to compute number of arrangements and probabilities SEQUENTIAL MATHEMATICS 3 and PRE-CALCULUS A. THE COMPLEX NUMBER SYSTEM Algebraic Techniques, Solution of Equations, Solution of Inequalities, Arithmetic with Complex Numbers TECHNOLOGY STRAND: Use a Graphing Calculator to demonstrate/compute solution of a system of simultaneous equations. Use MAPLE or other Computer Language to Investigate/graph mathematical relationships SPACE MATHEMATICS STRAND: Inverse and Inverse Square Application Exercises B. FUNCTIONS & THE THEORY OF EQUATIONS Relations & Functions, Inverses, Graphs of Functions, Exponential & Logarithmic Functions, Polynomial Arithmetic, Roots of Polynomial Functions TECHNOLOGY STRAND: Use a Graphing Calculator to display functions, approximate roots and approximate simultaneous solutions SPACE MATHEMATICS STRAND: Gravitational Attraction Application Exercises; Exponential Model Application Exercises C. CIRCLES Arcs, Angles, Chords, Secants, Tangents D. TRIGONOMETRY Trigonometric Function definitions, Unit Circle, Radian Measure, Identities, Graphs, Double & Half Angle Formulas, Solution of Triangles, Inverse Trigonometric Functions, Trigonometric Form of Complex Numbers, Applications TECHNOLOGY STRAND: Use a Graphing Calculator to display trigonometric functions, solve equations, and investigate amplitude/frequency/period SPACE MATHEMATICS STRAND: Simultaneous Trigonometric Equation Application Exercises E. SYSTEMS OF EQUATIONS Simultaneous solution of Linear Equations by Algebraic Techniques, Determinants, Matrices F. MATHEMATICAL INDUCTION G. PROBABILITY Bernoulli Experiments, Variance & Standard Deviation H. POLAR COORDINATES Relationship with Rectangular Coordinates, Graphs of Polar Equations SPACE MATHEMATICS STRAND: Polar Coordinate Application Exercises