LEARNING ACTIVITIES FOR MATH 1060 – PRECALCULUS
Fall 2016
| Text Section | Topics | Learning Activities | Additional Support |
| Review – Equation solving (Inequalities, Absolute Value) | Complete and hand in during your discussion following WEEK 2:
Worksheet 1 – Prerequisites |
Guided Tour – Algebra Guided Tour – Absolute Value Equations and Inequalities Video – Fractions Video – Exponents Video – Factoring Video – Equations Video – Inequalities Video – Absolute Value Equations Video – Square Root Functions |
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| 1.1 | Pythagorean Theorem, Distance Formula, Applications | WA – 1.1 | Video – Distance |
| 1.2 | Graphs of Equations, Intercepts, Symmetry, Applications (no circles) | WA – 1.2 | |
| 1.3/1.4A | Linear Equations in Two Variables, Slope, Graphing, Parallel, Perpendicular, Application
Functions, Notation, Evaluating, Piecewise |
WA – 1.3 AND 1.4A | Guided Tour – Functions Video – Intro to Functions Video – Descriptions of Functions Video – Linear Functions Video – Piecewise Functions |
| 1.4B | Complete 1.4A if necessary
Domain, Difference Quotient, Applications |
WA – 1.4B
Complete on lined paper and hand in during your discussion following WEEK 3: Text: Sect 1.1 – #20, 28, 34, 44 Sect 1.2 – #26, 48, 50 |
Video – Domain |
| 1.5A | Domain, Range, Zeroes | WA – 1.5A | |
| 1.5B | Function Behavior, Average Rate of Change, Even/Odd | WA – 1.5B | |
| 1.6 | Parent Functions | WA – 1.6
Complete on lined paper and hand in the following text assignment during your discussion following WEEK 4: Text: Sect 1.3 – #24, 36, 38, 48, 58, 74, 80 Sect 1.4 – #32, 58, 60, 80 |
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| 1.7 | Transformations of Functions | WA – 1.7 | Guided Tour – Graph Transformations Video – Graph Transformations |
| 1.8 | Composite Functions | WA – 1.8 | Guided Tour – Compositions Video – Arithmetic Combinations of Functions Video – Compositions of Functions |
| 1.9 | Inverse Functions
Bring Text – Chap 1 Review 106 – 108 |
WA – 1.9
Complete on lined paper and hand in the following text assignment during your discussion following WEEK 5: Text: Section 1.5 – # 16, 18, 58, 63, 78. 80 Section 1.6 – #12, 36, 47 |
Guided Tour – Inverse Functions Video – 1-1 Functions Video – Inverse Functions |
| 2.1A | Quadratic Functions, Completing Square, Vertex, x-Intercepts | WA – 2.1A
Complete and hand in during your discussion following WEEK 6: Worksheet 2 – Quadratics Practice for Exam 1 |
Guided Tour – Quadratic Functions Video – Completing the Square |
| 2.1B | Minimum, Maximum, Applications | WA – 2.1B | |
| 2.2 | Polynomials of Higher Degree, End Behavior, Real Zeroes, Sketching | WA – 2.2 | |
| 2.6 | Rational Functions, Domain, Vertical and Horizontal Asymptotes, Sketching | WA – 2.6 | |
| 3.1 | Exponential Functions and Graphs | WA – 3.1 | Guided Tour – Exponential Functions Video – Exponential Functions |
| 3.2A | Logarithmic Functions and Graphs | WA – 3.2A
Complete on lined paper and hand in the following text assignment during your discussion following WEEK 8: Text: Sect 2.2 – #16, 22, 24, 36, 44 Sect 2.6 – # 6, 8, 12, 16, 18, 24, 74 |
Guided Tour – Logarithms Video – Logarithms |
| 3.2B | Applications of Exponential and Logarithmic Functions | WA – 3.2B | |
| 3.3 | Properties of Logarithms | WA – 3.3 | Guided Tour – Rules of Logarithms Video – Properties of Logs |
| 3.4 | Exponential and Logarithmic Equations | WA – 3.4
Complete on lined paper and hand in the following text assignment during your discussion following WEEK 9: Text: Sect 3.1 – #18, 20, 44 Sect 3.3 – #16 – 36 (even); 68-76 (even) |
Guided Tour – Exp/Log Equations Video – Exp and Log Equations |
| 3.5 | Exponential and Logarithmic Models | WA – 3.5 | Guided Tour – Exponential Growth and Decay |
| 3.5 | Exponential and Logarithmic Models – continued | WA – 3.5 | |
| 4.1 | Radian and Degree Measure (no minutes,seconds, arc length, sectors)) | WA – 4.1
Practice for Exam 2 |
Guided Tour – Unit Circle Video – Unit Circle |
| 4.2A | Sine/Cosine Domain/Period, Evaluating | WA – 4.2A | |
| 4.2B | Sine/Cosine Domain/Period, Evaluating
Review 4.1 as appropriate |
WA – 4.2B
Complete on lined paper and hand in the following text assignment during your discussion following WEEK 10: Text: Sect 3.4 – #8, 10, 12, 20-26 (evens) Sect 3.5 – #32, 34 |
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| 4.3A | 45/45/90 and 30/60/90 | WA – 4.3A | |
| 4.3B | Applying Trigonometric Identities (Basic substitutions) | Students will be given a copy of the trig identities for Exam 2 and the Final Exam.
WA – 4.3B |
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| 4.3C | Right Triangle Applications
Review if time permits – emphasis on 4.1 – 4.3 |
WA – 4.3C | Video – Solving Triangles |
| 4.4 | Trigonometric Functions for any angle, Reference Angles | WA – 4.4 | Video – Trig Functions |
| 4.5 | Graphs of Sine and Cosine- Horizontal and Vertical Translations | WA – 4.5 | Video – Graphing Sine and Cosine |
| 4.6 | Graphs of Other Trigonometric Functions (No Damped) | WA – 4.6
Worksheet 3 – Trigonometry |
Guided Tour – Trig Functions Guided Tour – Graphing Trig Video – Graphing Trig Functions Video – Periodic Motion |
| 4.7 | Inverse Trigonometric Functions | WA – 4.7 | Guided Tour – Inverse Trig Video – Arcsine Video – Arccosine Video – Arctangent |
| 4.8 | Review sketching functions – Text 306, 307, 317, 318
Review Inverses – Text 327 – 54-72 (evens) Applications and Models |
WA – 4.8
Complete on lined paper and hand in the following text assignment during your discussion following WEEK 12: Text: Section 4.3 – #42, 66, 72 Section 4.4 – #10, 54, 60 Section 4.5 – # 32, 36, 52, 64, 66 |
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| 5.1/5.2 | Using Fundamental Identities
Verifying Trigonometric Identities |
WA – 5.1/5.2
Complete on lined paper and hand in the following text assignment during your discussion during WEEK 13: Text: Section: 5.1 #21, 29, 39, 45 Section: 5.2 #17, 27,35 |
Video – Using Trig Identities |
| 5.3 | Solving Trigonometric Equations | WA – 5.3
Complete and hand in during your last LECTURE: Worksheet 4 – Trigonometric Equations |
Guided Tour – Solving Trig EquationsVideo – Basic Trig EquationsVideo – Advanced Trig EquationsVideo – Simplifying Inverse Trig |