MAT-037 Finite Mathematics
Study intermediate algebra topics supporting the problem-solving skills required for College Algebra. Topics include linear, rational, radical, quadratic, exponential and logarithmic equations and functions; systems of linear equations; graphing linear and non-linear functions; and inequalities. A brief review of Beginning Algebra topics is also included. Prerequisite: Achieve an appropriate score on the Mathematics Placement Test, or completion of MAT 011 or MAT 036 with a grade of at least C, or successful completion of an approved mathematics preparation course. Note: MAT 037 and MAT 137 may be taken in the same semester. A grade of at least C is required in MAT 037 in order to start MAT 137.
Study intermediate algebra topics supporting the problem-solving skills required for College Algebra. Topics include linear, rational, radical, quadratic, exponential and logarithmic equations and functions; systems of linear equations; graphing linear and non-linear functions; and inequalities. A brief review of Beginning Algebra topics is also included. Prerequisite: Achieve an appropriate score on the Mathematics Placement Test, or completion of MAT 011 or MAT 036 with a grade of at least C, or successful completion of an approved mathematics preparation course. Note: MAT 037 and MAT 137 may be taken in the same semester. A grade of at least C is required in MAT 037 in order to start MAT 137.
Lessons and Calendar of Events
Day 1: Intro to the Course, Lesson PowerPoint, (6/16/22)
Extra Practice Worksheets: One-Step Equations, Two-Step Equations, Solving Equations , Multi-Step Equations
Solving Linear Inequalities: Presentation , Compound Inequalities
Extra Practice Worksheets: One Step Inequalities, Two Step Inequalities
Videos: Solving Basic Linear Equations, Solving Multi-Step Equations, Linear Inequalities Notation
Homework #1 (My Math Lab 1.4 and 4.1)
Day 2: Introduction to Functions (2.1 & 2.2) & Updated PowerPoint Notes/Examples (6/23/22)
Practice Worksheets: Domain and Range #1, #2, Evaluating Functions, Domain/Range (Answers)
Extra Practice for 2.1 and 2.2 ANSWERS, Vocab Worksheet (Optional)
Domain & Range, Video, Notes Part 1, Notes Part 2, Evaluating Functions
Whiteboard Notes from Class Page 1 and Page 2
Homework #2 (My Math Lab 2.1 and 2.2)
Day 3: Linear Equations in Two Variables (2.4 and 2.5) (6/27/22)
Extra Practice Worksheets: Slope Given Two Points, Slope From A Graph
Homework #2 (Re-Attempt)
Whiteboard Notes from Class: Page 1, Page 2, Page 3
Day 4: Finish Linear Equations 2.4 & 2.5 (Same PPT from last class) (6/30/22)
Video Graphing Slope Intercept Form, Video Parallel and Perpendicular Lines
Videos #1, #2, #3, Writing Equations of Lines
Whiteboard Notes from Class: Page 1, Page 2, Page 3
Practice: Slope-Intercept Form, Writing Equations of Lines, Point-Slope & Slope Intercept Form, Parallel & Perpendicular Lines
MATH 037 QUIZ #1(DUE 7/7/22 by 7pm)
Homework #3 (My Math Lab 2.4 and 2.5)
Day 5: Systems of Linear Equations & Problem Solving using Linear Systems (7/7/22)
Whiteboard Notes From Class: Page 1, Page 2, Page 3
Extra Practice Worksheet: Solve by Graphing, Solve by Substitution, Solve by Elimination
Video Solving Systems by Elimination
Practice Solving Systems (All three methods)
Solving Systems of Equations with Word Problems
Extra Practice Worksheet: Solving Systems of Equations with Word Problems
Video Solving Linear Systems of Equations with Word Problems
Day 6: Review for Exam #1 (Make an appointment between 7/8 and 7/14) (7/11/22)
Test Review: Page 1, Page 2, Page 3, Page 4
Day 7: Factoring GCF & Grouping (5.3 & 5.4) (7/14/22)
Factoring out a GCF, Extra Practice WS & Factor out GCF, Factor By Grouping, Practice WS
DESMOS GCF, DESMOS Grouping, DESMOS Diff. of Squares
Video Reviews: GCF, Grouping
QUIZ #2 Assigned (MyMathLab) Due by 7/21 @ 7pm (I recommend NOT starting it until after next class)
Day 8: Factoring Special Cases (5.5 & 5.6) Solving Quadratics by factoring (7/18/22)
Factoring Trinomials (a = 1), Practice WS, Notes, Notes 2, Notes 3, Video, Factoring Trinomials, Practice WS
Factoring Difference of Squares, Factoring (a > 1), Notes, Practice WS, Video: Difference of Squares
Solving Quadratics by Factoring, Practice WS, Video, Whiteboard Notes
Solving Quadratics by Factoring Worksheet: Solving Quadratics by Factoring (Answers), Additional Practice
QUIZ #2 Assigned (MyMathLab) Due by 7/21 @ 7pm (Once you start the quiz you have one hour to submit)
Whiteboard Notes from Class: Page 1, Page 2, Page 3
Day 9: Rational Expressions and Functions/Rational Equations and Applications (7/21/22)
Evaluating Rational Expressions: Worksheet, Video
Simplify Rational Expressions: Worksheet, Video
Multiply and Divide Rational Expressions: Worksheet, Video
Whiteboard Notes: Page1, Page 2
Day 10: Adding and Subtracting Rational Expressions & Solving Rational Equations (7/25/22)
Practice Worksheets: Add/Subtract Rational Expressions, Solving Rational Equations
Videos: Add/Subtract Rational Expressions, Solving Rational Equations
TWO Homework Assignments Assigned
Whiteboard Notes: Page 1, Page 2
Day 11: Radical Expressions and Radical Operations, Complex Numbers (7/28/22)
Practice Worksheets: Simplifying Radicals, Add/Subtract Radicals, Multiply Radicals, Complex Numbers
Videos: Simplifying Radicals, Add/Subtract Radicals, Multiply Radicals, Complex Number Operations
Quiz #3 (My Math Lab) Due by 8/4/22 (Once you start the quiz you have one hour to complete it)
Whiteboard Notes: Page 1, Page 2, Page 3, Page 4, Page 5
Day 12: Quadratic Formula and Quadratic Functions and Graphs (8/1/22)
Practice Worksheets: Square Root Property, Quadratic Formula, Graphs of Quadratics
Videos: Square Root Property, Quadratic Formula, Graphs of Quadratics
Whiteboard Notes: Page 1, Page 2
Day 13: Review for Exam # 2 (Make an appointment between 8/5 and 8/9) (8/4/22)
Whiteboard Notes: Page 1, Page 2, Page 3, Page 4
Day 14: Exponential and Logarithmic Functions (8/8/22)
Practice Worksheets: Evaluating Exponential Functions, Compound Interest, Rewriting Exponentials and Logs
Videos: Compound Interest, Rewriting Exponentials and Logs
Whiteboard Notes: Page 1, Page 2
Day 15: Review Day (Make appointment for the Final Exam between (8/15 & 8/17) (8/11/22)
Whiteboard Notes Review: Page 1, Page 2, Page 3, Page 4, Page 5
Day 16: Review for Final Exam (The Exam is DUE by 8/17) (8/15/22)
Final Exam Review: Part 1, Part 2, Part 3
Final Exam Review Solutions: Part 1, Part 2, Part 3
Whiteboard Notes: Page 1, Page 2, Page 3, Page 4, Page 5
Day 1: Intro to the Course, Lesson PowerPoint, (6/16/22)
Extra Practice Worksheets: One-Step Equations, Two-Step Equations, Solving Equations , Multi-Step Equations
Solving Linear Inequalities: Presentation , Compound Inequalities
Extra Practice Worksheets: One Step Inequalities, Two Step Inequalities
Videos: Solving Basic Linear Equations, Solving Multi-Step Equations, Linear Inequalities Notation
Homework #1 (My Math Lab 1.4 and 4.1)
Day 2: Introduction to Functions (2.1 & 2.2) & Updated PowerPoint Notes/Examples (6/23/22)
Practice Worksheets: Domain and Range #1, #2, Evaluating Functions, Domain/Range (Answers)
Extra Practice for 2.1 and 2.2 ANSWERS, Vocab Worksheet (Optional)
Domain & Range, Video, Notes Part 1, Notes Part 2, Evaluating Functions
Whiteboard Notes from Class Page 1 and Page 2
Homework #2 (My Math Lab 2.1 and 2.2)
Day 3: Linear Equations in Two Variables (2.4 and 2.5) (6/27/22)
Extra Practice Worksheets: Slope Given Two Points, Slope From A Graph
Homework #2 (Re-Attempt)
Whiteboard Notes from Class: Page 1, Page 2, Page 3
Day 4: Finish Linear Equations 2.4 & 2.5 (Same PPT from last class) (6/30/22)
Video Graphing Slope Intercept Form, Video Parallel and Perpendicular Lines
Videos #1, #2, #3, Writing Equations of Lines
Whiteboard Notes from Class: Page 1, Page 2, Page 3
Practice: Slope-Intercept Form, Writing Equations of Lines, Point-Slope & Slope Intercept Form, Parallel & Perpendicular Lines
MATH 037 QUIZ #1(DUE 7/7/22 by 7pm)
Homework #3 (My Math Lab 2.4 and 2.5)
Day 5: Systems of Linear Equations & Problem Solving using Linear Systems (7/7/22)
Whiteboard Notes From Class: Page 1, Page 2, Page 3
Extra Practice Worksheet: Solve by Graphing, Solve by Substitution, Solve by Elimination
Video Solving Systems by Elimination
Practice Solving Systems (All three methods)
Solving Systems of Equations with Word Problems
Extra Practice Worksheet: Solving Systems of Equations with Word Problems
Video Solving Linear Systems of Equations with Word Problems
Day 6: Review for Exam #1 (Make an appointment between 7/8 and 7/14) (7/11/22)
Test Review: Page 1, Page 2, Page 3, Page 4
Day 7: Factoring GCF & Grouping (5.3 & 5.4) (7/14/22)
Factoring out a GCF, Extra Practice WS & Factor out GCF, Factor By Grouping, Practice WS
DESMOS GCF, DESMOS Grouping, DESMOS Diff. of Squares
Video Reviews: GCF, Grouping
QUIZ #2 Assigned (MyMathLab) Due by 7/21 @ 7pm (I recommend NOT starting it until after next class)
Day 8: Factoring Special Cases (5.5 & 5.6) Solving Quadratics by factoring (7/18/22)
Factoring Trinomials (a = 1), Practice WS, Notes, Notes 2, Notes 3, Video, Factoring Trinomials, Practice WS
Factoring Difference of Squares, Factoring (a > 1), Notes, Practice WS, Video: Difference of Squares
Solving Quadratics by Factoring, Practice WS, Video, Whiteboard Notes
Solving Quadratics by Factoring Worksheet: Solving Quadratics by Factoring (Answers), Additional Practice
QUIZ #2 Assigned (MyMathLab) Due by 7/21 @ 7pm (Once you start the quiz you have one hour to submit)
Whiteboard Notes from Class: Page 1, Page 2, Page 3
Day 9: Rational Expressions and Functions/Rational Equations and Applications (7/21/22)
Evaluating Rational Expressions: Worksheet, Video
Simplify Rational Expressions: Worksheet, Video
Multiply and Divide Rational Expressions: Worksheet, Video
Whiteboard Notes: Page1, Page 2
Day 10: Adding and Subtracting Rational Expressions & Solving Rational Equations (7/25/22)
Practice Worksheets: Add/Subtract Rational Expressions, Solving Rational Equations
Videos: Add/Subtract Rational Expressions, Solving Rational Equations
TWO Homework Assignments Assigned
Whiteboard Notes: Page 1, Page 2
Day 11: Radical Expressions and Radical Operations, Complex Numbers (7/28/22)
Practice Worksheets: Simplifying Radicals, Add/Subtract Radicals, Multiply Radicals, Complex Numbers
Videos: Simplifying Radicals, Add/Subtract Radicals, Multiply Radicals, Complex Number Operations
Quiz #3 (My Math Lab) Due by 8/4/22 (Once you start the quiz you have one hour to complete it)
Whiteboard Notes: Page 1, Page 2, Page 3, Page 4, Page 5
Day 12: Quadratic Formula and Quadratic Functions and Graphs (8/1/22)
Practice Worksheets: Square Root Property, Quadratic Formula, Graphs of Quadratics
Videos: Square Root Property, Quadratic Formula, Graphs of Quadratics
Whiteboard Notes: Page 1, Page 2
Day 13: Review for Exam # 2 (Make an appointment between 8/5 and 8/9) (8/4/22)
Whiteboard Notes: Page 1, Page 2, Page 3, Page 4
Day 14: Exponential and Logarithmic Functions (8/8/22)
Practice Worksheets: Evaluating Exponential Functions, Compound Interest, Rewriting Exponentials and Logs
Videos: Compound Interest, Rewriting Exponentials and Logs
Whiteboard Notes: Page 1, Page 2
Day 15: Review Day (Make appointment for the Final Exam between (8/15 & 8/17) (8/11/22)
Whiteboard Notes Review: Page 1, Page 2, Page 3, Page 4, Page 5
Day 16: Review for Final Exam (The Exam is DUE by 8/17) (8/15/22)
Final Exam Review: Part 1, Part 2, Part 3
Final Exam Review Solutions: Part 1, Part 2, Part 3
Whiteboard Notes: Page 1, Page 2, Page 3, Page 4, Page 5