Math 1060 Learning Activities (Fall 2016)

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
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

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

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

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

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