2/19/09 Unit 1 Pre-Algebra Concepts and Operations Review 1. How do algebraic concepts represent real-life situations? 2. Why are algebraic expressions and equations useful? 2. Operations on rational numbers 3. Properties of numbers 4. Exponents and order of operations 5. Exploring real numbers 6. Commutative, associative and distributive properties 7. Percent 8. Methods to solve multi-step equations 1. Model relationships with variables and equations 2. Simplify and evaluate expressions and formulas 3. Classify and compare numbers 4. Solve multi-step equations 5. Define a variable in terms of another variable 6. Using percent in real life situations 7. Evaluation of algebraic expressions by substitution 8. Translate verbal information into algebraic expressions and or equations 9. Use relevant vocabulary, symbols and notation 10. Using graphing calculator where appropriate 2. Unit test 4.1.12.A 4.1.12.B 4.1.12.C 4.2.12.D 4.3.12.B
Unit 2 Data Exploration 1. Why is it useful to represent data in different forms? 2. How does data influence a statistical investigation? 2. Analyze data 3. Measures of central tendency 4. 5-number summary 5. Outliers 6. Graphic representation of data 7. Two Variable relationships 8. Matrix operations 1. Represent data graphically: dot plot, stem and leaf plot, pictograph, bar graph, histogram, box and whisker plots, scatter plots 2. Measure representation: Mean, Median, Mode, Range Interquartile Range, Quartiles 3. Identifying outliers using the 1.5 method 4. Describing two variable relationships 5. Use terminology of independent and dependent variables. 6. Describe, read, and interpret graphs of real-world situations using terms linear, nonlinear, increasing, decreasing, positive and negative association, continuous, and discrete 7. Addition, Subtraction, Multiplication of matrices 8. Solving matrix equations 9. Use relevant vocabulary, symbols and notation 10. Use graphing calculator where appropriate 4. Unit project (Blast-Off) 4.2.12.B 4.4.12.A Note: Depending on the course, length of units, and available supplies, some months of curriculum mapping may be altered to
Unit 3 Linear Equations 1. How can a rate of change be represented and applied? 2. How does a linear equation represent a set of real world data? Student will know: 2. Rate of change, slope and recursive routines 3. Forms of linear equation 4. Parallel and perpendicular lines 5. Correlation and strength of a relationship 6. Line of best fit 7. Regression Equation 1. Graphing linear equations using ordered pairs or slope-intercept form 2. Find a recursive routine 3. Identify the rate of change and starting point of a recursive routine 4. Translate real world problems into a recursive routine 5. Find rate of change from tables and graphs 6. Manipulate equations into various forms 7. Determine whether lines are parallel or perpendicular 8. Find the equation of a line given different information 9. Find the Line of best fit given two points 10. Find the regression equation using Q-Points 11. Use relevant vocabulary, symbols and notation 12. Use graphing calculator where appropriate 4.1.12.C 4.2.12.C 4.2.12.D 4.3.12.B 4.4.12.A
Unit 4 Systems of Equations and Inequalities 1. What influences the method chosen to solve a system of equations or inequalities? 2. How can systems of equations and inequalities model real world problems? 2. Systems of linear equations and inequalities 3. Inequalities 4. Compound inequalities 5. Real world problem using systems of linear equations and inequalities 1. Solving systems of linear equations by graphing, substitution and elimination 2. Using systems of equations to solve real world problems 3. Graphing inequalities 4. Solving inequalities 5. Solving compound inequalities 6. Solving linear inequalities by graphing 7. Solving systems of linear inequalities by graphing 8. Using systems of inequalities to solve real world problems 9. Use relevant vocabulary, symbols and notation 10. Use graphing calculator where appropriate 4. Midterm Exam 4.2.12.C 4.3.12.B 4.3.12.D
Unit 5 Probability 1. How do we use patterns to solve problems? 2. How can we mathematically predict the outcomes of future events? 2. Theoretical and experimental probability 3. Frequency graphs 4. Counting techniques 5. Odds 6. Probability of multiple events 7. Expected Value 1. Find theoretical and experimental probability 2. Create and read circle graphs 3. Using the Counting principle to find number of outcomes 4. Using Combinations to find number of outcomes 5. Using Permutations to find number of outcomes 6. Find Odds against or in favor of an event 7. Relationship between odds and probability 8. Find the probability of independent and dependent events 9. Find the probability of mutually exclusive events 13. Determine the expected value of an event 14. Use relevant vocabulary, symbols and notation 15. Use graphing calculator where appropriate 4. Unit Project (Midway Game) 4.4.12.B
Unit 6 Exponents, Radicals and Factoring 1. What influences whether an expression is represented in radical or exponential form? 2. How is factoring used in real-life situations? 2. Exponents operations 3. Scientific notation 4. Radical expressions 5. Polynomial operations 6. Factoring polynomials 7. Rational expressions 1. Simplify expressions with zero and negative exponents 2. Use the multiplication, division, and power properties of exponents to simplify expressions 3. Rewrite an expression with exponents as an expression with the opposite of those exponents 4. Write numbers in scientific and standard notation 5. Carry out operations on numbers in scientific notation 6. Simplify radical expressions (different powers) 7. Recognizing and creating equivalent radical expressions 8. Carry out operations on radical expressions 9. Rationalize the denominator of a radical expression 10. Add and subtract polynomials 11. Multiply polynomials 12. Factor polynomials by GCF, Grouping, Perfect square trinomials, special cases, and rational expressions 13. Simplifying rational expressions by use of GCF or factoring 14. Identifying the restrictions of a rational expression 15. Use relevant vocabulary, symbols and notation 16. Use graphing calculator where appropriate 4.1.12.B 4.3.12.D 4.5.12.C 4.5.12.E
Unit 7 - Functions 1. Why is it useful to represent functions and relations in multiple ways? 2. Why are quadratic, absolute value and square root functions used to represent real-life situations? 2. Concept, definition, notation, properties, and graphs of functions 3. Absolute Value equations and functions 4. Square Root equations and functions 5. Quadratic equations and functions 1. Identify the difference between a relation and a function 2. Use the Vertical line test to identify the graph of a function 3. Use interval notation to identify the domain and range of a function 4. Understand the notation and evaluate a function 5. Solve an Absolute Value equation and inequality 6. Graph an Absolute Value function and identify its domain and range 7. Use the properties of Absolute Value equations and functions to solve real world problems 8. Solve a Square Root equation 9. Graph a Square Root function and identify its domain and range 10. Solve a Quadratic equation 11. Graph a Quadratic function 12. Identify the domain and rage of a Quadratic function 13. Use the properties of Quadratic equations and functions to solve real world problems 14. Use relevant vocabulary, symbols and notation 15. Use graphing calculator where appropriate 4. Final Exam 4.1.12.B 4.5.12.A 4.3.12.B 4.5.12.C 4.3.12.D 4.5.12.E 4.5.12.A