11/23/2021
8.1 Graphing sine and cosine
Videos
Desmos activity
11/18/2021
7.3 Unit Circle
7.4 Other Trigonometric Functions
Videos here (top page)
Webwork assignments
Ongoing discussions and working on the STEM application Project
11/16/21
7.1 Angles
7.1 Angles7.2 Right triangles trigonometry
Quiz on webwork
STEM project and discussions on Blackboard
11/9/2021
10.4 Properties of Logarithms
Video resources
11/4/2021
Evaluate and graph logarithmic functions
Webwork assignments
Video resources
One minute reflection paper (bb)
11/2/exponential functions
10/28/Exam 2
10/26/2021
11.5 Solve Systems of Nonlinear Equations
Video resources
Webwork assignment
Discussion group project
10/21/2021
11.1 Distance and Midpoint Formulas; Circles
Webwork assignments
Video resources
10/19/2021
9.6 Graph Quadratic Functions Using Properties
9.7 Graph Quadratic Functions Using Transformations
Webwork assignments
Video resources
10/14/2021
9.5 Solve Applications of Quadratic Equations
Videos and webwork assignments
10/12/2021
Lessons
9.1 Solving quadratics using the square root property
9.2 Solving quadratics using Completing the square
9.3 Solving quadratics using quadratic formula
Videos and webwork assignments
Discussion
Bring one example of real-life applications of quadratic equations
10/7/2021
8.8 Use the Complex Number System
10/7/2021
8.8 Use the Complex Number System
Videos
https://screencast-o-matic.com/watch/cbnVYfQRK8
https://screencast-o-matic.com/watch/cbnQf06h1i
Webwork assignment
One minute reflection paper
STEM application of complex numbers
10/05/2021
Solving radical equations
Webwork assignment
Video resources
09/30/2021
Exam 1 on webwork
09/28/2021
8.4 Multiplying Radical Expressions
Review for Exam 1 (Webwork)
Webwork assignments
09/23/2021
Topic(s):
Simplify Radical Expressions
Add, Subtract,and Multiply Radical Expressions
Webwork assignments
Watch Videos (Links on top of this page)
Quiz
09/21/2021
From the schedule
Topic (S) :
Simplify Expressions with Roots HigherRoots
HigherRoots-Algebraic
Watch videos posted on the Video resources
One minute reflection paper (Blackboard)
09/14/2021
Topic: Solving Rational Equations & Applications with rational equations
Liks o the lessons are on the course scheduleWatch videos posted on the Video resources
Discussion: Where do you see the applications with rational equations in everyday life
use the link to the textbook for examples as a reference, and reply: https://openstax.org/books/intermediate-algebra-2e/pages/7-5-solve-applications-with-rational-equations08/26/2021 First Day of Class
First Day of Class (8/26/21)
Topic: 3×3 SYSTEMS OF LINEAR EQUATIONS
OpenStax Textbook: Read Section 4.4 All Examples
Video Resources:https://openlab.citytech.cuny.edu/math1275videolibrary/systems-of-three-linear-equations-and-three-variables/
Webwork assignment: 3×3 systems
Other Assignment:
1-Open Lab Introduce yourself
2- Read Carefully the Syllabus & Policies
3- Make sure you have signed up on the Open Lab Course Site and navigate to get used to it.
8/31/21
1-Polynomial Equations https://openstax.org/books/intermediate-algebra-2e/pages/6-5-polynomial-equations
2-Webwork assignment: Zero product property
3-Other Assignment: One-minute reflection paper (Please submit on Bb)
4- Please visit the course hab and video resources for additional support related to the topic.
https://openlab.citytech.cuny.edu/math1275videolibrary/solving-quadratic-equations-by-factoring/
08/26/2021 First Day of Class
Topic: 3×3 SYSTEMS OF LINEAR EQUATIONS
OpenStax Textbook: Read Section 4.4 All Examples
Video Resources:https://openlab.citytech.cuny.edu/math1275videolibrary/systems-of-three-linear-equations-and-three-variables/
Webwork assignment: 3×3 systems
Other Assignment:
1-Open Lab Introduce yourself
2- Read Carefully the Syllabus & Policies
3- Make sure you have signed up on the Open Lab Course Site and navigate to get used to it.
Day 2
1-Polynomial Equations https://openstax.org/books/intermediate-algebra-2e/pages/6-5-polynomial-equations
2-Webwork assignment: Zero product property
3-Other Assignment: One-minute reflection paper (Please submit on Bb)
4- Course hab and video resources for additional support related to the topic.
Syllabus With Links to Videos
MAT 1275 College Algebra and Trigonometry Text: McGraw-Hill Custom Textbook containing material from Intermediate Algebra, 5th ed., by Miller, O’Neill, and Hyde (Sessions 1-16 and 26-29) and Trigonometry, 2nd ed., by Coburn (Sessions 18-25).
| Class | Topic | Section | Homework/ WeBWorK Problems | Video Resource |
| 1 | Properties of Integer Exponents Addition and Subtraction of Rational Expressions | Section 4.1, p.320-324 Section 5.3, p.437-444 | p.327: 11-29 odd, 33, 35, 41, 47, 63, 67, 75 p.445: 7-23, 27-49 odd IntegerExponents ReducingRationalExpressions AddRationalExpressions AddRationalExpressions2 |
Properties of Integer Exponents Adding and Subtracting Rational Expressions Multiplying and Dividing Rational Expressions (review) |
| 2 | Complex Fractions | Section 5.4, p.447-452 | p.452: 9-15,17-23 odd, 31,33 ComplexFractions-Method1 ComplexFractions-Method2 |
Complex Fractions |
| 3 | Solving Rational Equations | Section 5.5, p.454-460 | p.460: 9-33 odd FractionalEquations |
Solving Rational Equations |
| 4 | Roots | Section 6.1, p.496-502 Section 6.2, p.508-512 | p.505: 9-37 odd, 59, 65, 67, 79 p.513: 9, 13, 17, 19, 25, 29, 33, 41, 45, 53, 65, 73, 81, 93 HigherRoots HigherRoots-Algebraic RationalExponents |
Introduction to Rational Exponents and Radicals |
| 5 | Simplifying Radical Expressions Addition and Subtraction of Radicals | Section 6.3, p.515-519 Section 6.4, p.522-525 | p.520: 9, 13, 17, 21, 25, 33, 39, 55, 59, 63, 79 p.526: 15, 19, 23, 35, 37, 41, 51, 55, 57, 61, 81 SimplifyingRadicals AddSubtractRadicals |
Roots and Radicals—Simplifying Radical Expressions I (review) Adding and Subtracting Radical Expressions |
| 6 | Multiplication of Radicals | Section 6.5, p.528-532 | p.534: 11, 17, 19, 21, 23, 25, 29, 31, 35, 37, 55, 57, 61, 63, 67, 77, 79, 87 MultiplyRadicals |
Multiplication of Radicals |
| 7 | Division of Radicals and Rationalization | Section 6.6, p.536-543 (skip Ex. 4 and 6) | p.544: 11, 13, 17, 21, 31, 35, 39, 53, 57, 63, 67, 71, 77, 81 | Division of Radicals and Rationalization |
| 8 | Solving Radical Equations | Section 6.7, p.546-549 | p.554: 13-18, 25-28, 41-46 RadicalEquations |
Solving Radical Equations |
| 9 | First Examination Complex Numbers | Section 6.8, p.557-563 | p.564: 15-27, 31-35, 53-57, 61-69, 81-89 odd ComplexNumbers |
Complex Numbers |
| 10 | Solving Equations by Using the Zero Product Rule Square Root Property and Completing the Square | Section 4.8 p.394-396 (skip Ex. 2) Section 7.1, p.582-587 | p.404: 21-40 p.589: 3-19, 27-33, 37-53 odd SquareRootProperty |
Factoring and the Zero Product Rule (review) Square Root Property Completing the Square |
| 11 | Quadratic Formula | Section 7.2, p.592-594, 596-602 (Derive the quadratic formula) | p.603: 9-25, 49-55 odd, 69, 73, 77, 81, 85 QuadraticFormula |
Quadratic Formula |
| 12 | Applications of Quadratic Equations | Section 4.8, p.398-400 Section 7.2, p.594-595 | p.405: 65, 69, 71, 73, 75 p.603: 39-47 odd | Applications of Quadratic Equations |
| 13 | Graphs of Quadratic Functions | Section 7.4, p.612-620 Section 7.5, p.626-630 | p.621: 11-15, 19-23, 29-35, 45, 47, 51-61 odd p.633: 17-23 odd, 29, 31, 37, 41, 43 ShiftingParabolas ParabolaVertices ParabolaVertices-CtS ParabolaVertices-VertexFormula
|
Graphs of Quadratic Functions & Vertex of a Parabola |
| 14 | Distance Formula, Midpoint Formula, and Circles Perpendicular Bisector | Section 9.1, p.754-759 | p.760: 5, 9, 11, 13, 23-31 odd, 39, 41, 45, 61, 63, 65, 69, 75 Supplemental Problems on Perpendicular Bisector DistanceFormula Circles |
Pythagorean Theorem (review!) Distance Formula Midpoint Formula Circles Perpendicular Bisectors |
| 15 | Systems of Linear Equations in Three Variables | Section 3.6, p.283-289 | p.290: 11-17 odd, 21, 23, 27, 35-39 odd 3×3-Systems |
Linear Systems of Three Variables |
| 16 | Determinants and Cramer’s Rule (optional) Nonlinear Systems of Equations in Two Variables | Appendix A.1, p. A-1 to A-9 Section 9.4, p. 784-788 | p.A-10: 35-45 odd, 49, 55, 57 p.790: 23-37 odd, 49 NonLinearSystems |
Determinants and Cramer’s Rule Nonlinear Systems of Equations |
| 17 | Midterm Examination | |||
| 18 | Angle Measure and Special Triangles The Trigonometry of Right Triangles | Section 1.1, p.2-6 Section 2.1, p.46-50 | p.7: 45-57 odd p.51: 7-21 odd SpecialTriangles TrigonometryRatios |
Trigonometry of Right Triangles Special Triangles |
| 19 | Solving Right Triangles Applications of Static Trigonometry | Section 2.2, p.54-56 Section 2.3, p.63-66 | p.57: 7-47 odd p.69: 35-38 SolvingRightTriangles SolvingRightTriangles-InverseTrig
|
See videos from lesson 18. |
| 20 | Angle Measure in Radian Trigonometry and the Coordinate Plane | Section 3.1, p.90-93 Section 1.3, p.22-27 | p.95: 25-39 odd, 43, 45, 49-61 odd, 67-71 odd p.28: 25-31 odd, 45, 47, 55-63 odd, 64, 73-79 odd AngleMeasure-Radians CoordinatePlaneTrig |
Angle Measure in Radians |
| 21 | Unit Circle | Section 3.3, p.108-113 | p.115: 29-35 odd, 37-40 UnitCircle |
Unit Circle |
| 22 | Graphs of the Sine and Cosine Functions Graphs of Tangent and Cotangent Functions (optional) | Section 4.1, p.134-144 Section 4.2, p. 153-159 | p.145: 1-3, 17-29 odd, 33-39 odd p.160: 15, 19, 21, 39, 43, 47 GraphingSineCosine |
Graphs of Sine, Cosine, and Tangent |
| 23 | Fundamental Identities and Families of Identities | Section 1.4, p.31-35 Section 5.1, p.212-214 | p.35: 11-37 odd p.216: 13-29 odd, 37, 43, 51 | Pythagorean Identity (The Fundamental Identity of Trigonometry) |
| 24 | Trigonometric Equations | Section 6.3, p.284-290 | p.292: 13, 17, 21, 25, 31, 35, 43-49 odd, 79, 80 TrigEquations |
(Basic) Trigonometric Equations |
| 25 | Oblique Triangles and the Law of Sines The Law of Cosines | Section 7.1, p.316-322 Section 7.2, p.329-332 | p.324: 7-23 odd p.338: 7-11 odd, 21-29 odd LawOfSines LawOfCosines |
Law of Sines Law of Cosines |
| 26 | Third Examination Exponential Functions | Subsections 8.3.1, 8.3.2, 8.3.4., p.680-686 | p.687: 9-25 odd, 43, 49 ExponentialFunctions |
Exponential Functions |
| 27 | Logarithmic Functions | Section 8.4, p.690-693 and Ex. 8, 9 | p.699: 11-61 odd LogarithmicFunctions |
Logarithmic Functions |
| 28 | Properties of Logarithms Compound Interest | Section 8.5, p. 704-709 Section 8.6, p.712-715 (skip Ex. 3) | p.710: 17-29 odd, 45-55 odd, 63-64, 67-71, 79, 81, 91 p.721: 11, 13 LogarithmicProperties CompoundInterest |
Properties of Logarithms Compound Interest |
| 29 | Logarithmic and Exponential Equations | Section 8.7, p.726-734 | p.735: 39-49 odd, 55-61 odd, 73, 75, 77, 79, 87 ExponentialEquations ExponentialEquations-Calc |
Exponential Equations |
| 30 | Final Examination | Selected final exam review questions |
