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Beginning Algebra OER Guide Class MOM Section Topic Objectives Teaching Notes Teach Workbook e xamples and give in class practice problems to students using workbook exercises ( instructor can always modify number of exercises if necessary, based on level of class) Suggested Homework 1. 0.1 Integers Add, subtract, multiply and divide positive and negative numbers Teach : Workbook examples A, B In class problems for students: Worksheet: 1 7 Workbook examples C F In class problems for students: Worksheet: 8 18 even Workbook examples G, H In class problems for students: Worksheet: 19 24 Myopenmath Practice problems 2. 0.2 Fractions Reduce, add, subtract, multiply, and divide with fractions Teach: Workbook examples A C In class problems for students: Worksheet: 1 7 odd Workbook examples D G In class problems for students: Worksheet: 9 17 odd Workbook examples H K In class problems for students: Worksheet: 19 25 odd Myopenmath Practice problems 3. 0.3 Order of Operations Evaluate expressions using the order of operations Teach: Workbook examples A C In class problems for students: Worksheet: 1 6 Workbook examples D E In class problems for students: Worksheet: 7 15 odd Myopenmath Video problems Practice problems 4. 0.4 Properties of Algebra Simplify algebraic expressions by substituting given values, distributing, and combining like terms Teach: Workbook examples A E Worksheet #6 In class problems for students: Worksheet: 1, 3, 5, 10 13 & 18 Workbook examples F Worksheet # 28, 30 Myopenmath Video problems Practice problems
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In class problems for students: Worksheet: 19 31 odd 5. 1.1 One Step Equations Solve one step linear equations by balancing using inverse operations Teach: Workbook examples A F In class problems for students: Worksheet: 1 15 odd Myopenmath Video problems Practice problems 6. 1.2 Two Step Equations Solve two step equations by balancing and using inverse operations Teach: Workbook examples A C and worksheet #8 & 10 In class problems for students: Worksheet: 1 9 odd Workbook examples D Worksheet #12, 14 In class problems for students: Worksheet: 11, 13, 15 Myopenmath Video problems Practice problems 7. 1.3 General Linear Equations Solve general linear equations with variables on both sides Use the solution of an equation to classify the equation as either a conditiona l equation, an identity, or a contradiction Teach: Workbook examples A, B In class problems for students: Worksheet: 1 7 Workbook examples C, D In class problems for students: Worksheet: 8 10 Myopenmath Video problems Practice problems 8. 1.4 Solving with Fractions Solve linear equations with rational coefficients by multiplying by the least common denominator to clear the fractions Teach: Workbook examples A, B, C In class problems for students: Worksheet: 1, 2, 4, 7, 9 11 Workbook example D In class problems for students: Worksheet: 3, 5, 6, 8 Myopenmath Video problems Practice problems
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9. 1.5 Formulas Solve linear formulas for a specific variable Teach: Workbook examples A D, F In class problems for students: Worksheet: 1 9, 11 Workbook example E In class problems for students: Worksheet: 10, 12 Myopenmath Video problems Practice problems 10. 1.8 Application: Number/Geometry Solve number and geometry problems by creating and solving a linear equation Teach: Workbook examples A C & worksheet #8 & 10 In class prob lems for students: Worksheet: 1 11 odd Workbook examples D F In class problems for students: Worksheet: 1, 3, 5, and 9 Myopenmath Video problems Practice problems 11. 1.9 Other Applications Set up a linear equation to solve age, commission, sales tax, and discount problems Teach: Workbook examples A worksheet # 2 In class problems for students: Worksheet: 1 Workbook examples B C worksheet # 4 In class problems for students: Worksheet: 3, 5 Workbook examples D E worksheet # 10, 12 In class problems for students: Worksheet: 7, 9, 11 Myopenmath Video problems Practice problems 12. 3.1 Solve and Graph Inequalities Solve, graph, and give interval notation for the Teach: Workbook examples A C In class problems for students: Myopenmath Video problems
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solution to linear inequalities Worksheet: 1,3,7,9 Workbook examples D, F Worksheet # 16 In class problems for students: Worksheet: 11, 13, 15, 17 Practice problems 13. 2.1 Points and Lines Graph points and linear equations by finding and plotting ordered pair solutions using xy coordinates. Teach: Workbook example A In class problems for students: Worksheet: 1, 4, 7, 10, 13, 18, 19, 21 Workbook example B, C In class problems for students: Worksheet: 1 9 odd Myopenmath Video problems Practice problems 14. 2.2 Slope Find the slope of a line given a graph or two points Teach: Workbook example A In class problems for students: Worksheet: 1, 2 Workbook example B In class problems for students: Wo rksheet: 4, 5, 6 Workbook example C In class problems for students: Worksheet: 10 14 Myopenmath Video problems Practice problems 15. 2.3 Slope Intercept Form Write the equation of a line using slope intercept form Teach: Workbook example A In class problems for students: Worksheet: 1, 2 Workbook examples B, C In class problems for students: Worksheet: 4, 5, 6, 7, 8 Workbook example D In class problems for students: Worksheet: 11 14 Myopenmath Video problems Practice problems 16. 2.4 Point Slope Form Give the equation of a line with a known slope and point Teach: Workbook example A In class problems for students: Worksheet: 1 5 odd Workbook examples B, C, D In class problems for students: Worksheet: 6 10 even Myopenmath Video problems Practice problems
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17. 2.5 Parallel & Perpendicular Lines Write an equation of a line given a parallel or perpendicular line Teach: Workbook example A, B In class problems for students: Worksheet: 1 9 odd Workbook examples C, D, E In class problems for students: Worksheet: 13 21 odd Myopenmath Video problems Practice problems 18. 4.1 Graphing Solve systems of equations by graphing and identifying the point of intersection Teach: Workbook example A, B In class problems for students: Worksheet: 1 3 Workbook examples C F In class problems for students: Worksheet: 4, 6, 8 Myopenmath Video problems Practice problems 29. 4.2 Substitution Solve systems of equations using substitution Teach: Workbook example A, B In class problems for students: Worksheet: 1, 3, 4 Workbook examples C In class problems for students: Worksheet: 5, 6 Myopenmath Video problems Practice problems 20. 4.3 Addition/Elimination Solve systems of equations using the addition/elimination method Teach: Workbook example A In class problems for students: Worksheet: 1, 2 Workbook examples B, C, D In class problems for students: Worksheet: 3, 4, 5, 7 Myopenmath Video problems Practice problems 21. 4.5 Application: Value Problems Solve value problems by setting up a system of equations Teach: Workbook examples A, B In class problems for students: Worksheet: 1, 2, 3, 5 Myopenmath Video problems
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Practice problems 22. 4.6 Application: Mixture Problems Solve mixture problems by setting up a system of equations Teach: Workbook examples A, B In class problems for students: Worksheet: 1, 2, 3, 4 Myopenmath Video problems Practice problems 23. 5.1 Exponent Properties Simplify expressions using the properties of exponents Teach : Workbook examples A D In class problems for students: Worksheet: 1, 3, 5 Workbook examples E G In class problems for students: Worksheet: 7,9,11 Workbook examples H K In class problems for students: Worksheet: 13, 15, 17, 20 Workbook examples L,M,O,P In class problems for students: Worksheet: 21,23,24,25 Myopenmath Video problems Practice problems 24. 5.2 Negative Exponents Simplify expressions with negative exponents using the properties of exponents Teach: Workbook examples A F In class problems for students: Worksheet: 1 7 Workbook examples G, H In class problems for students: Worksheet: 8 15 Myopenmath Video problems Practice problems 25. 5.3 Scientific Notation Multiply and divide expressions using Teach: Workbook example A, B, E, F Myopenmath
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scientific notation and exponent properties In class problems for students: Worksheet: 1 11 odd Workbook examples I, J In class problems for students: Worksheet: 13, 15 Video problems Practice problems 26. 5.4 Introduction to Polynomials Evaluate, add, and subtract polynomials Teach: Workbook example A, B, C In class problems for students: Worksheet: 1, 2 Workbook examples D, E In class problems for students: Worksheet: 3, 4, 6, 7, 8 Myopenmath Video problems Practice problems 27. 5.5 Multiply Polynomials Multiply polynomials Teach: Workbook example A In class problems for students: Worksheet: 1, 3 Workbook examples B, C In class problems for students: Worksheet 5, 7, 8 Workbook examples E In class problems for students: Worksheet: 9, 11, 13, 14, 16 Myopenmath Video problems Practice problems 28. 5.6 Multiply Special Products Recognize and use special product rules of a sum and difference and perfect squares to multiply polynomials Teach: Workbook examples A, C In class problems for students: Worksheet: 1 7 odd Workbook examples D, F, G In class problems for students: Worksheet 9 17 odd Myopenmath Video problems Practice problems 29. 5.7 Divide Polynomials Divide polynomials using long division Teach: Workbook examples A, C, E In class problems for students: Worksheet: 1, 4, 5 Myopenmath Video problems
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Workbook examples F, G, H In class problems for students: Worksheet: 7, 9, 11, 13 Practice problems
