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Beginning Algebra Parts I and II OER Instructorsâ€™ Guide Class MOM Section Topic Objectives Teaching Notes Teach Workbook examples 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 operatio ns 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 Myopenmath Video problems Practice problems
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Workbook examples F Worksheet # 28, 30 In class problems for students: Worksheet: 1931 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 conditi onal 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 Teach: Workbook examples A, B, C In class problems for students: Worksheet: 1, 2, 4, 7, 9 11 Workbook example D Myopenmath Video problems Practice problems
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denominator to clear the fractions In class problems for students: Worksheet: 3, 5, 6, 8 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 problems 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 solution to linear inequalities Teach: Workbook examples A C In class problems for students: Worksheet: 1,3,7,9 Workbook examples D, F Myopenmath Video problems Practice problems
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Worksheet # 16 In class problems for students: Worksheet: 11, 13, 15, 17 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: Worksheet: 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 sub stitution 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 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
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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 proble ms 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 scientific notation and exponent properties Teach: Workbook example A, B, E, F In class problems for students: Worksheet: 1 11 odd Workbook examples I, J In class problems for students: Worksheet: 13, 15 Myopenmath 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 Myopenmath Video problems Practice problems
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In class problems for students: Worksheet: 9, 11, 13, 14, 16 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 Workbook examples F, G, H In class problems for students: Worksheet: 7, 9, 11, 13 Myopenmath Video problems Practice problems 30. 6.1 Factoring Greatest Common Factor Find the Greatest Common Factor of a list of numbers & variable terms. Teach: Workbook examples A, C, D, E,F In class problems for students: Worksheet: 7, 9, 11, 13, 15 Myopenmath Video problems Practice problems 31. 6.2 Factoring Grouping Factor polynomials with four terms using grouping. Teach: Workbook examples A, B,C In class problems for students: Worksheet: 1, 3, 5 Myopenmath Video problems Practice problems 32. 6.3 Factoring Trinomials where a=1 Factor trinomials with coefficient a=1 Factor trinomials after factoring out the GCF. Teach: Workbook examples A, B,C, D In class problems for students: Worksheet: 1, 3, 5, 7 Myopenmath Video problems Practice problems
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33. 6.4 Factoring Trinomials where Factor trinomials with Factor trinomials after factoring out the GCF Teach: Workbook examples A, B, C In class problems for students: Worksheet: 1, 3, 5, 7 Workbook examples D,E In class problems for students: Worksheet: 19, 20 Myopenmath Video problems Practice problems 34. 6.5 Factoring Special Products Identify and factor special products including a difference of squares, perfect squares, and sum and difference of cubes. Factor trinomials after factoring out the GCF. Teach: Workbook examples A, B, C, D, E ( Factoring the Difference of Two squares) In class problems for students: Worksheet: 1, 3, 5 Workbook examples A, B, C ( Perfect squares) In class problems for students: Worksheet: 7, 8, 10 Workbook examples A, B, C, D ( Factor a Sum/difference of cubes) In class problems for students: Worksheet: 14, 15, 16 Myopenmath Video problems Practice problems 35. 6.6 Factoring Strategy Identify and use the correct method to factor various polynomials Teach: Workbook examples A, B,C, D In class problems for students: Worksheet: 1, 3, 5, 20, 21 Myopenmath Video problems Practice problems 36. 6.7 Solve by Factoring Solve quadratic equation by factoring and using the zero product rule. Teach: Workbook examples A, B,C, D In class problems for students: Worksheet: 1, 3, 5, 7, 9, 11 Myopenmath Video problems Practice problems 37. 7.1 Reduce Rational Expressions Reduce rational expressions by removing common factors. Determine domain. Evaluate rationals Teach: Workbook examples A, B,C, D In class problems for students: Worksheet: 1, 3, 5, 7, 14, 20 Myopenmath Video problems Practice problems
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38. 7.2 Multiply and Divide Rational Expressions Combine rational expressions with multiplication and division Teach: Workbook examples A, B,C, D In class problems for students: Worksheet: 1, 2, 5, 10, 20 Myopenmath Video problems Practice problems 39. 7.3 Least Common Denominator Find the LCD by factoring Teach: Workbook examples A, B, C, D In class problems for students: Worksheet: 1, 3, 5, 8, 14, 16, 19 Myopenmath Video problems Practice problems 40. 7.4 Add and Subtract Rational Expressions Combine rational expressions using the LCD for addition and subtraction Teach: Workbook examples A, B, C, D In class problems for students: Worksheet: 1, 3, 5, 7, 9, 11 Myopenmath Video problems Practice problems 41. 7.5 Complex Fractions Simplify complex fractions by multiplying by the LCD to every term Teach: Workbook examples A, B, C, D In class problems for students: Worksheet: 1, 3, 5, 7, 9, 11 Myopenmath Video problems Practice problems 42. 7.7 Solving Rational Equations Solve rational equations by multiplying by the LCD Teach: Workbook examples A, B, C, D In class problems for students: Worksheet: 1, 4, 7, 13, 17, 21 Myopenmath Video problems Practice problems 43. 8.1, 8.2 Square Roots and Higher Roots Simplify radical expressions Teach: Workbook examples A F In class problems for students: Worksheet: 2, 3, 4, 5 Workbook examples G, H In class problems for students: Worksheet: 7, 8, 9 Myopenmath Video problems Practice problems
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44. 8.3 Adding Radicals Add and Subtract radical expressions with and without variables Teach: Workbook examples B, D, E In class problems for students: Worksheet: 1, 3 Workbook examples F, G, H In class problems for students: Worksheet: 4, 6, 8, 11 Myopenmath Video problems Practice problems 45. 8.4 Multiplying Radicals Multiply radical expressions with and without variables Teach: Workbook examples A, B,C In class problems for students: Worksheet: 2, 4, 5, 7 Workbook examples F, G, H In class problems for students: Worksheet: 8, 9, 11, 13 Myopenmath Video problems Practice problems 46. 8.5 Dividing Radicals, Rationalizing Denominator Divide radical expressions with and without variables Divide by monomial (one term) Divide by binomial (two terms) Rationalize denominator Teach: Workbook examples A, C, D (Simplify radicals) In class problems for students: Worksheet: 2, 3, 5 Workbook examples E, F (Rationalize denominator monomial) In class problems for students: Worksheet: 7, 8, 9 Workbook examples G (Rationalize denominator binomial) In class problems for students: Worksheet: 10, 12, 14 Myopenmath Video problems Practice problems 47. 9.1 Quadratics Solving with Radicals Solve equations with radicals and check for extraneous solutions. Teach: Workbook examples A, D,E,F In class problems for students: Worksheet: 1,3,5,15 Myopenmath Video problems Practice problems 48. 9.2 Solving with Exponents using the Square Root Property Solve quadratic equations of the form x2 = k using the Square Root Property Teach: Workbook examples A, B, C, D In class problems for students: Worksheet: 1, 2 Workbook examples D, E Myopenmath Video problems Practice problems
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Solve quadratic equations of the form a(x â€“ h) 2=k using the Square Root Property In class problems for students: Worksheet: 3, 6, 8, 9 49. 9.3 Completing the Square Solve quadratic equations of the form a x2 + bx +c = 0 by completing the square Teach: Workbook examples A, B, C In class problems for students: Worksheet: 3, 4, 5 Myopenmath Video problems Practice problems 50. 9.4 Quadratic Formula Solve quadratic equations by using the quadratic formula Teach: Workbook examples A, D, E In class problems for students: Worksheet: 1, 5, 8, 10 Myopenmath Video problems Practice problems
