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Khan Academy MTH 1112

This website shows Khan Academy links for most topics in MTH 1112.

First find the chapter you want in the menu below.

Scroll down through each section to see some links to Khan Academy videos and practice problems for topics in this section.  


Section 1.1: Making Sense of Data
TopicVideosPractice Problems
Average Stats Intro: mean, median, and mode Calculating the mean
Median Finding mean, median, and mode Calculating the median


Section 1.2: Visualizing Relationships in Data
TopicVideosPractice Problems
Relations Relations and Functions  
Domain and Range of a Relation Domain and range of a relation  
Graphing Two-Variable Data Coordinate plane: graphing points Graphing points


Section 1.3: Equations; Describing Relationships in Data
TopicVideosPractice Problems
Making a Linear Model from Data Determining a linear relationship  
First Differences Recognizing linear functions  
Getting Information from a Linear Model Application problem  


Section 1.4: Functions; Describing Change
TopicVideosPractice Problems

Function Definition

What is a function?  
Independent and Dependent Variables Dependent and independent variables  Dependent and independent variables practice
Deciding whether an equation defines a function Difference between equations and functions  
Vertical Line Test    
Four Ways to Represent a Function    


Section 1.5: Function Notation
TopicVideosPractice Problems
Function Notation Understanding function notation Functions
Evaluating Functions Evaluating with function notation  Function notation practice
Domain of a Function Domain and range of a function given a formula Domain of a function
Piecewise defined functions Finding a piecewise function definition from a graph Graphing piecewise functions


Section 1.6: Working with Functions; Graphs
TopicVideosPractice Problems
Graphs of Basic Functions
Graphing with a graphing calculator    
Graphing piecewise defined functions Finding a piecewise function definition from a graph Graphing piecewise functions


Section 2.1: Working with Functions
TopicVideosPractice Problems
Average rate of change of a function Average rate of change
Average speed of a moving object    


Section 2.2: Linear Functions
TopicVideosPractice Problems
Identifying linear functions    
Graphing a linear function Graphs of linear functions  
Linear functions and rate of change Recognizing linear functions  
Linear functions and slope Slope of a line Slope of a line practice
Finding linear functions from a graph Constructing equations from graphs  


Section 2.3: Equations of Lines
TopicVideosPractice Problems
Slope-intercept form Linear equation from a slope and a point  
Point-slope form Linear equations in point-slope form Point-slope form
Finding the equation of a line Solving for the y-intercept
Horizontal and vertical lines Slope of a line 3  


Section 2.4: Direct Proportionality
TopicVideosPractice Problems
Parallel lines Parallel line equation  
Perpendicular lines Perpendicular line slope  
Modeling direct proportionality Direct variation  


Section 2.5: Linear Regression; Fitting Lines to Data
TopicVideosPractice Problems
The line that best fits the data Fitting a line to data (in excel)  
Using the line of best fit for prediction    
The correlation coefficient    


Section 2.6: Linear Equations; Getting Info from a Model
TopicVideosPractice Problems
Getting information from a linear model Constructing linear equations to solve word problems  
Models that lead to linear equations  


Section 2.7: Linear Equations; Where Lines Meet
TopicVideosPractice Problems
Intersection points of linear functions Graphing sstems of equations
Modeling supply and demand    


Section 3.1: Exponential Growth and Decay
TopicVideosPractice Problems
The growth factor Exponential growth and decay word problems Rewriting and interpreting exponential functions
The growth rate Decay example  


Section 3.2: Exponential Models; Comparing Rates
TopicVideosPractice Problems
Changing the time period    
Compound interest Introduction to compound interest  


Section 3.3: Comparing Linear and Exponential Growth
TopicVideosPractice Problems
Percentage rate of change    
Linear growth versus exponential growth Understanding linear and exponential models Understanding linear and exponential models practice
Logistic growth: growth with limited resources    


Section 3.4: Graphs of Exponential Functions
TopicVideosPractice Problems
Graphing exponential functions Graphing exponential functions  
The effect of varying a or c    
Fitting an exponential function from a graph Constructing linear and exponential functions from a graph  


Section 3.5: Fitting Exponential Curves to Data
TopicVideosPractice Problems
Fnding exponential models for data Constructing linear and exponential models from data Constructing linear and exponential functions
Is an exponential model appropriate?    


Section 4.1: Logarithmic Functions
TopicVideosPractice Problems
Logarithms base 10    
Logarithms base a    
Basic properties of logarithms Introduction to logarithm properties  
Logarithmic functions and their graphs Graphing logarithmic functions Graphs of exponentials and logarithms


Section 4.2: Laws of Logarithms
TopicVideosPractice Problems
Laws of logarithms Logarithm of a power Logarithms

Expanding and combining logarithmic expressions

Using multiple logarithm properties to simplify  
Change of base formula Change of base formula  


Section 4.3: Logarithmic Scales
TopicVideosPractice Problems
Logarithmic scales Logarithmic scale  
The pH scale    
The Decibel scale    
The Richter scale Richter scale  


Section 4.4: The Natural Exponential and Log Functions
TopicVideosPractice Problems
What is the number e?    
The natural exponential and logarithmic functions    
Graphing exponential functions Graphing exponential functions  
The natural logarithm Natural logarithm   
Continuously compounded interest Introduction to compound interest and e  
Instantaneous rate of growth or decay    
Expressing exponential models in terms of e    


Section 4.5: Exponential Equations
TopicVideosPractice Problems
Solving exponential and logarithmic equations  
Getting information from exponential models Exponential growth and decay word problems  
Newton's Law of Cooling    
Radiocarbon dating    


Section 4.6: Working with Functions: Composition/Inverse
TopicVideosPractice Problems
Composition of functions Creating new functions from composition Functions 3
The inverse of a function Function inverse example Inverses of functions
Which functions have inverses? Function invertibility  
Exponential and logarithmic functions as inverse functions Comparing exponential and logarithmic functions   


Section 5.1: Working with functions: shifting and scaling
TopicVideosPractice Problems
Shifting graphs up and down Flipping and shifting functions  
Shifting graphs left and right Shifting functions  
Stretching and shrinking graphs vertically Shifting and reflecting graphs   
Reflecting graphs Shifting and reflecting graphs Shifting and refecting functions practice


Section 5.2: Quadratic functions and their graphs
TopicVideosPractice Problems
Quadratic functions in general form Graphing using roots and vertex Graphing parabolas 1
Quadratic functions in standard form Completing the square  
Graphing using the standard form Graphing in vertex form Graphing parabolas 2


Section 5.3: Maxima and Minima
TopicVideosPractice Problems
Finding maximum and minimum values Finding the vertex of a parabola  
Modeling with quadratic functions    


Section 5.4: Quadratic Equations
TopicVideosPractice Problems
Solving quadratic equations: factoring Solving a quadratic equation by factoring Solving quadratics by factoring
The quadratic formula How to use the quadratic formula Quadratic equation 
The discriminant Discriminant of quadratic equations  
Modeling with quadratic functions Quadratic example  


Section 5.5: Fitting curves to data
TopicVideosPractice Problems
Modeling data with quadratic functions    


Section 6.1: Working with functions; Algebraic operations
TopicVideosPractice Problems
Adding and subtracting functions Adding and subtracting polynomials  
Multiplying and dividing functions Multiplying polynomials  


Section 6.2: Power functions; Positive powers
TopicVideosPractice Problems
Power functions with positive integer powers    
Direct proportionality Proportionality constant for direct variation  
Fractional positive powers    
Modeling with power functions    


Section 6.3: Polynomial functions
TopicVideosPractice Problems
Polynomial functions Terms, coefficients, and exponents in a polynomial  
Graphing polynomial functions by factoring    
End behavior and the leading term Polynomial end behavior example Graphs of polynomials 
Modeling with polynomial functions    


Section 6.4: Fitting polynomial and power curves to data
TopicVideosPractice Problems
Fitting power curves to data    
A linear, power, or exponential model?  
Fitting polynomial curves to data    


Section 6.5: Power functions; Negative powers
TopicVideosPractice Problems
The reciprocal function    
Inverse proportionality Inverse variation example Direct and inverse variation


Section 6.6: Rational functions
TopicVideosPractice Problems
Graphing rational functions Asymptotes of rational functions  


Section 7.1: Systems of Linear Equations in Two Variables
TopicVideosPractice Problems
The substitution method The substitution method Systems with substitution 
The elimination method Addition elimination method Systems with elimination 
Graphical interpretation: the number of solutions Consistent and inconsistent systems Graphical solutions to systems
Applications: mixture problems Mixture problem 2  


Section 7.2: Systems of Linear Equations in Several Variables
TopicVideosPractice Problems
Solving a triangular system using back-substitution Systems of three variables  
Inconsistent and dependent systems Independent and dependent systems  
Modeling with linear systems Three equation application problem  


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