Mathematics All Around

<p style="margin:0px;">1. Problem Solving</p><p style="margin:0px;"></p> <p style="margin:0px;"></p> <blockquote> <p style="margin:0px;"></p> <p style="margin:0px;">Skill Review Topics</p><p style="margin:0px;"></p> <p style="margin:0px;">Objective: Percent conversions</p>Objective: Translate algebraic expressions to word phrases and word phrases to algebraic expressions <br>Objective: Evaluating an algebraic expression <br> <p style="margin:0px;">Objective: Evaluate a formula</p> </blockquote> <p style="margin:0px;"></p> <p style="margin:0px;"></p> <p style="margin:0px;">1.1 Problem Solving</p> <p style="margin:0px;">1.2 Inductive and Deductive Reasoning</p> <p style="margin:0px;">1.3 Estimation</p> <p style="margin:0px;"><br></p> <p style="margin:0px;"></p> <p style="margin:0px;"></p> <p style="margin:0px;">2. Set Theory</p><p style="margin:0px;"></p> <blockquote> <p style="margin:0px;"></p> <p style="margin:0px;"></p> </blockquote> <blockquote> <p style="margin:0px;">Skill Review Topics</p><p style="margin:0px;"></p> <p style="margin:0px;">Objective: Exponents and order of operations</p> <p style="margin:0px;">Objective: Compare real numbers</p> <p style="margin:0px;">Objective: Solve linear equations using the addition property</p> </blockquote> <p style="margin:0px;"></p> <p style="margin:0px;"></p> <p style="margin:0px;"></p> <p style="margin:0px;"></p> <p style="margin:0px;">2.1 The Language of Sets</p> <p style="margin:0px;">2.2 Comparing Sets</p> <p style="margin:0px;">2.3 Set Operations</p> <p style="margin:0px;">2.4 Survey Problems</p> <p style="margin:0px;">2.5 Looking Deeper: Infinite Sets</p> <p style="margin:0px;"></p> <p style="margin:0px;"><br></p> <p style="margin:0px;"></p> <p style="margin:0px;">3. Logic</p><p style="margin:0px;"></p> <p style="margin:0px;">3.1 Statements, Connectives, and Quantifiers</p> <p style="margin:0px;">3.2 Truth Tables</p> <p style="margin:0px;">3.3 The Conditional and Biconditional</p> <p style="margin:0px;">3.4 Verifying Arguments</p> <p style="margin:0px;">3.5 Using Euler Diagrams to Verify Syllogisms</p> <p style="margin:0px;">3.6 Looking Deeper: Fuzzy Logic</p> <p style="margin:0px;"></p> <p style="margin:0px;"></p> <p style="margin:0px;"><br></p> <p style="margin:0px;"></p> <p style="margin:0px;">4. Graph Theory</p><p style="margin:0px;"></p> <p style="margin:0px;">4.1 Graphs, Puzzles, and Map Coloring</p> <p style="margin:0px;">4.2 The Traveling Salesperson Problem</p> <p style="margin:0px;">4.3 Directed Graphs</p> <p style="margin:0px;">4.4 Looking Deeper: Scheduling Projects Using PERT</p> <p style="margin:0px;">&nbsp;</p> <p style="margin:0px;"></p> <p style="margin:0px;">5. Numeration Systems</p> <p style="margin:0px;"></p> <blockquote> <p style="margin:0px;"></p> <p style="margin:0px;">Skill Review Topics</p><p style="margin:0px;"></p> <p style="margin:0px;">Objective: Decimals</p> <p style="margin:0px;">Objective: Add real numbers</p> <p style="margin:0px;">Objective: Subtract real numbers</p> <p style="margin:0px;">Objective: Multiply real numbers</p> <p style="margin:0px;">Objective: Divide real numbers</p> </blockquote> <p style="margin:0px;"></p> <p style="margin:0px;">5.1 The Evolution of Numeration Systems</p> <p style="margin:0px;">5.2 Place Value Systems</p> <p style="margin:0px;">5.3 Calculating in Other Bases</p> <p style="margin:0px;">5.4 Looking Deeper: Modular Systems</p> <p style="margin:0px;"></p> <p style="margin:0px;"><br></p> <p style="margin:0px;"></p> <p style="margin:0px;">6. Number Theory and the Real Number System</p><p style="margin:0px;"></p> <blockquote> <p style="margin:0px;">Skill Review Topics</p> <p style="margin:0px;"></p> <p style="margin:0px;">Objective: Square roots</p> <p style="margin:0px;">Objective: Solve applied problems involving algebraic expressions or formulas</p> </blockquote> <p style="margin:0px;"></p> <p style="margin:0px;">6.1 Number Theory</p> <p style="margin:0px;">6.2 The Integers</p> <p style="margin:0px;">6.3 The Rational Numbers</p> <p style="margin:0px;">6.4 The Real Number System</p> <p style="margin:0px;">6.5 Exponents and Scientific Notation</p> <p style="margin:0px;">6.6 Looking Deeper: Sequences</p> <p style="margin:0px;"></p> <p style="margin:0px;"><br></p> <p style="margin:0px;"></p> <p style="margin:0px;">7. Algebraic Models</p><p style="margin:0px;"></p> <blockquote> <p style="margin:0px;">Skill Review Topics</p> <p style="margin:0px;"></p> <p style="margin:0px;">Objective: Solve a linear inequality using the addition and multiplication properties of inequalities</p> <p style="margin:0px;">Objective: Find the slope of a line that passes through two given points</p> <p style="margin:0px;">Objective: Determine whether the slope of a given line is positive, negative, zero, or undefined</p> <p style="margin:0px;">Objective: Solve a proportion</p> <p style="margin:0px;">Objective: Solve quadratic equations by using the square root property</p> </blockquote> <p style="margin:0px;"></p> <p style="margin:0px;">7.1 Linear Equations</p> <p style="margin:0px;">7.2 Modeling with Linear Equations</p> <p style="margin:0px;">7.3 Modeling with Quadratic Equations</p> <p style="margin:0px;">7.4 Exponential Equations and Growth</p> <p style="margin:0px;">7.5 Proportions and Variation</p> <p style="margin:0px;">7.6 Modeling with Systems of Linear Equations and Inequalities</p> <p style="margin:0px;">7.7 Looking Deeper: Dynamical Systems</p> <p style="margin:0px;"></p> <p style="margin:0px;"></p> <p style="margin:0px;"></p> <p style="margin:0px;"></p> <p style="margin:0px;"></p> <p style="margin:0px;"></p> <p style="margin:0px;"></p> <p style="margin:0px;"></p> <p style="margin:0px;"><br></p> <p style="margin:0px;"></p> <p style="margin:0px;">8. Consumer Mathematics</p><p style="margin:0px;"></p> <blockquote> <p style="margin:0px;">Skill Review Topics</p> <p style="margin:0px;"></p> <p style="margin:0px;">Objective: Solve linear equations using the multiplication property</p> <p style="margin:0px;">Objective: Evaluate exponential functions</p> <p style="margin:0px;">Objective: Write equivalent exponential and logarithmic equations</p> <p style="margin:0px;">Objective: Evaluate logarithms</p> <p style="margin:0px;">Objective: Solve logarithmic equations</p> </blockquote> <p style="margin:0px;"></p> <p style="margin:0px;">8.1 Percents, Taxes, and Inflation</p> <p style="margin:0px;">8.2 Interests</p> <p style="margin:0px;">8.3 Consumer Loans</p> <p style="margin:0px;">8.4 Annuities</p> <p style="margin:0px;">8.5 Amortized Loans</p> <p style="margin:0px;">8.6 Looking Deeper: Annual Percentage Rate</p> <p style="margin:0px;"></p> <p style="margin:0px;"><br></p> <p style="margin:0px;"></p> <p style="margin:0px;">9. Geometry</p><p style="margin:0px;"></p> <p style="margin:0px;">9.1 Lines, Angles, and Circles</p> <p style="margin:0px;">9.2 Polygons</p> <p style="margin:0px;">9.3 Perimeter and Area</p> <p style="margin:0px;">9.4 Volume and Surface Area</p> <p style="margin:0px;">9.5 The Metric System and Dimensional Analysis</p> <p style="margin:0px;">9.6 Geometric Symmetry and Tessellations</p> <p style="margin:0px;">9.7 Looking Deeper: Fractals</p> <p style="margin:0px;"></p> <p style="margin:0px;"><br></p> <p style="margin:0px;"></p> <p style="margin:0px;">10. Apportionment</p><p style="margin:0px;"></p> <p style="margin:0px;">10.1 Understanding Apportionment</p> <p style="margin:0px;">10.2 The Huntington−Hill Apportionment Principle</p> <p style="margin:0px;">10.3 Other Paradoxes and Apportionment Methods</p> <p style="margin:0px;">10.4 Looking Deeper: Fair Division</p> <p style="margin:0px;"></p> <p style="margin:0px;"><br></p> <p style="margin:0px;"></p> <p style="margin:0px;">11. Voting</p><p style="margin:0px;"></p> <p style="margin:0px;">11.1 Voting Methods</p> <p style="margin:0px;">11.2 Defects in Voting Methods</p> <p style="margin:0px;">11.3 Weighted Voting Systems</p> <p style="margin:0px;">11.4 Looking Deeper: The Shapley-Shubik Index</p> <p style="margin:0px;"></p> <p style="margin:0px;"><br></p> <p style="margin:0px;"></p> <p style="margin:0px;">12. Counting</p><p style="margin:0px;"></p> <blockquote> <p style="margin:0px;">Skill Review Topics</p> <p style="margin:0px;"></p> <p style="margin:0px;">Objective: Fractions</p> </blockquote> <p style="margin:0px;"></p> <p style="margin:0px;">12.1 Introduction to Counting Methods</p> <p style="margin:0px;">12.2 The Fundamental Counting Principle</p> <p style="margin:0px;">12.3 Permutations and Combinations</p> <p style="margin:0px;">12.4 Looking Deeper: Counting and Gambling</p> <p style="margin:0px;"></p> <p style="margin:0px;"><br></p> <p style="margin:0px;"></p> <p style="margin:0px;">13. Probability</p><p style="margin:0px;"></p> <blockquote> <p style="margin:0px;">Skill Review Topics</p> <p style="margin:0px;"></p> <p style="margin:0px;">Objective: Solve a linear equation using both the addition and multiplication properties</p> </blockquote> <p style="margin:0px;"></p> <p style="margin:0px;">13.1 The Basics of Probability Theory</p> <p style="margin:0px;">13.2 Complements and Union of Events</p> <p style="margin:0px;">13.3 Conditional Probability and Intersections of Events</p> <p style="margin:0px;">13.4 Expected Value</p> <p style="margin:0px;">13.5 Looking Deeper: Binomial Experiments</p> <p style="margin:0px;"></p> <p style="margin:0px;"><br></p> <p style="margin:0px;"></p> <p style="margin:0px;">14. Descriptive Statistics</p><p style="margin:0px;"></p> <blockquote> <p style="margin:0px;">Skill Review Topics</p> <p style="margin:0px;"></p> <p style="margin:0px;">Objective: Find the opposite and absolute value of real numbers</p> <p style="margin:0px;">Objective: Identify and plot points on a coordinate plane</p> <p style="margin:0px;">Objective: Identify the slope and y-intercept of an equation written in slope-intercept form</p> <p style="margin:0px;">Objective: Graph a line using its slope and y-intercept</p> <p style="margin:0px;"></p> </blockquote> <p style="margin:0px;">14.1 Organizing and Visualizing Data</p> <p style="margin:0px;">14.2 Measures of Central Tendency</p> <p style="margin:0px;">14.3 Measures of Dispersion</p> <p style="margin:0px;">14.4 The Normal Distribution</p> <p style="margin:0px;">14.5 Looking Deeper: Linear Correlation</p> <div> <br> </div>