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Beginning Algebra Part II OER Instructors’ 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. 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 2. 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 3. 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 4. 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 5. 6.5 Factoring Special Products Identify and factor special products including a difference Teach: Workbook examples A, B, C, D, E ( Factoring the Difference of Two squares) Myopenmath Video problems
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of squares, perfect squares, and sum and difference of cubes. Factor trinomials after factoring out the GCF. 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 Practice problems 6. 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 7. 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 8. 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 9. 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 10. 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
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11. 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 12. 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 13. 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 14. 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 15. 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 16. 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: Myopenmath Video problems Practice problems
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Worksheet: 8, 9, 11, 13 17. 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 18. 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 19. 9.2 Solving with Exponents using the Square Root Property Solve quadratic equations of the form x2 = k using the Square Root Property Solve quadratic equations of the form a(x – h) 2=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 In class problems for students: Worksheet: 3, 6, 8, 9 Myopenmath Video problems Practice problems 20. 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 21. 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
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