LESSONS - MATH 124E
MODULE 1
Prerequisite Concepts (in 116)
Introduction to Rational Numbers
Operations on Rational Numbers
Learning Materials
#1PRE - Math 24 Concepts (Prerequisite for #1)
Texts:
Introduction to Algebra (also C&E for 116)
Videos:
Some vocabulary of algebra - https://www.youtube.com/watch?v=HFUa94G0jLw
The Order of Operations - https://www.youtube.com/watch?v=6xAaNNge4zM
The Distributive Property - https://www.youtube.com/watch?v=FmOamAIq1nA
#1 - Math 124 Concepts
Linear Equations in One Variable
#2PRE - Math 24 Concepts (Prerequisite for #2)
Text:
Videos:
Construct a rectangular coordinate system - https://www.youtube.com/watch?v=XQGNKvTfVp0
Plot points in the rectangular coordinate system - https://www.youtube.com/watch?v=dv8ap7SvnvY
#2 - Math 124 Concepts
Linear Equations in Two Variables
#3 - Math 124 Concepts
#4PRE - Math 24 Concept (Prerequisite for #4)
Text:
Videos:
Introduction to systems of two linear equations in two variables - https://www.youtube.com/watch?v=PZOcQSTc17M
Solve systems of two linear equations in two variables using the substitution method - https://www.youtube.com/watch?v=e3IImsgLN80
Solve systems of two linear equations in two variables using the elimination method - https://www.youtube.com/watch?v=uK1vt1bIqLk
Two examples of solving systems of two linear equations in two variables using the elimination method - https://www.youtube.com/watch?v=j4Qa3_ETs1Q
#4 - Math 124 Concept
Systems of Linear Equations in Three Variables
#5 - Math 124 Concept
Solve Systems of Linear Equations using Matrices
#6PRE - Math 24 Concept (Prerequisite for #6)
Text:
Linear Inequalities in One Variable (116, also C&E in 116)
Video:
Linear inequalities in one variable - https://www.youtube.com/watch?v=RVACq9Bk8do
#6 - Math 124 Concept
Linear Inequalities in Two Variables
#7PRE - Math 24 Concepts (Prerequisite for #7)
Text:
Video:
Interval and Set-Builder Notation - https://www.youtube.com/watch?v=qAOVe7iOoIM
#7 - Math 124 Concepts
#8PRE - Math 24 Concepts (Prerequisite for #8)
Texts:
Videos:
Evaluate exponential expressions - https://www.youtube.com/watch?v=Hb7rKvKgkuM
Use the rules of exponents - https://www.youtube.com/watch?v=Upd6zbGMO-w
Use the Order of Operations with exponents - https://www.youtube.com/watch?v=3qgZI_hIO9s
Evaluate radical expressions - https://www.youtube.com/watch?v=bwupvCu6Myg
Perform operations on radical expressions - https://www.youtube.com/watch?v=9CEV9VAh6pQ
Absolute value equations - https://www.youtube.com/watch?v=2RREvxKG-uc
MODULE 2
Learning Materials
#8 - Math 124 Concepts
#9PRE - Math 24 Concepts (Prerequisite for #9)
Text:
Video:
Products of mathematical expressions - https://www.youtube.com/watch?v=lotjzSlSE50
#9 - Math 124 Concepts
Transformations of Some Functions
#10PRE - Math 24 Concepts (Prerequisite for #10)
Texts:
Videos:
Imaginary and complex numbers - https://www.youtube.com/watch?v=0hOhSb5zsFc
Introduction to factoring; Factor out common factors - https://www.youtube.com/watch?v=RrktMVefQzI
Factor by grouping - https://www.youtube.com/watch?v=zSAQEIU3IXo
Factor expressions of the form ax2 + bx + c - https://www.youtube.com/watch?v=3a-fRXhrtpY
Factor expressions of the form ax2 + bx + c when a = 1 - https://www.youtube.com/watch?v=IdPvclnHbwQ
Factor Difference of Squares - https://www.youtube.com/watch?v=ZnzFI9np-zs
#10 - Math 124 Concepts
Quadratic Equations in One Variable
#11a - Math 124 Concepts
Comparing the two parabolic vertex formulas
Why are certain coordinates associated with the vertex of a parabola?
#11b - Math 124 Concepts
Text:
Video:
Applications of quadratic functions - https://www.youtube.com/watch?v=w-gTi5lVRPM
#12 - Math 124 Concepts
#13 - Math 124 Concepts
Lesson 10PRE Review: Factoring and Complex Numbers
Finding and Using Zeros of Polynomial Functions
#14 - Math 124 Concept
Rational Equations in One Variable
#15 - Math 124 Concept
#16PRE - Math 24 Concepts
Text:
Video:
Radical equations in one variable - https://www.youtube.com/watch?v=s2GkQddHhZU
MODULE 3
Learning Materials
#16 - Math 124 Concepts
#17 - Math 124 Concept
#18 - Math 124 Concept
#19 - Math 124 Concepts
Proofs of the Logarithm Rules and the Change-of-Base Formula
Logarithm Arguments of Less than or Equal to Zero. Is it possible?
#20a - Math 124 Concept
Exponential Equations in One Variable
#20b - Math 124 Concept
Text:
Videos:
Use the exponential growth and decay formula - https://www.youtube.com/watch?v=k-eKpd8MG2Q
Use the logistic growth formula - https://www.youtube.com/watch?v=L0j7Q1H4Ysc
#21 - Math 124 Concept (21 in the spring and 21a in the fall)
Logarithmic Equations in One Variable
#21b - Math 124 Concept (not in the spring but 21b in the fall)
Text:
Videos:
Calculate pH and the magnitude of earthquakes - https://www.youtube.com/watch?v=eXk8fX7oRVo
Calculate sound intensity - https://www.youtube.com/watch?v=8YbXIaxYfFw
#22 - Math 124 Concept (Spring only)
Text:
Video:
Introduction to Sequences and Series - https://www.youtube.com/watch?v=LBdn3nrAWG8
#22 - Math 124 Concept (Fall only; change Practice and Module Review)
Text:
#23 - Math 124 Concept (Spring only)
Arithmetic Sequences and Series
Proofs of some Formulas used for Arithmetic Sequences and Series
#24 - Math 124 Concept (Spring only)
Geometric Sequences and Series
Proofs of some Formulas used for Geometric Sequences and Series