Curated Video
How to Translate Linear Functions
In this math lesson, we learn about translating linear functions through horizontal and vertical transformations. The teacher explains the concept of function notation and how it relates to these transformations, providing examples and...
Curated Video
Understanding Scaling Transformations in Algebra
In this lesson, students will learn how to identify the value of K in scaling transformations by exploring different representations of linear equations. They will understand that K represents a constant value in the algebraic...
Brian McLogan
How To Perform the Composition of Two Linear Functions
Learn how to compose two linear functions. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the input variable of one of the functions with the value of the...
Curated Video
Representing Linear Functions with Graphs: Discrete vs Continuous Domains
In this video, the teacher explains how to represent linear functions with graphs using discrete and continuous data. They also discuss how to determine if a data set is discrete or continuous and provide real-life examples to illustrate...
Curated Video
Determining Linear and Nonlinear Functions
In this video, the teacher focuses on teaching students how to identify linear and nonlinear functions from tables, equations, and graphs. The teacher explains the characteristics of linear and nonlinear functions and provides examples...
Why U
Algebra 73 - Factoring Quadratics by inspection - part 1
Factoring a quadratic expression into a pair of linear expressions is one of the primary methods used to solve quadratic equations. In the previous lectures we examined "special product" quadratic expressions whose factors can be easily...
Why U
Algebra 72 - Solving Perfect Square Quadratic Equations
Factoring a quadratic expression into a pair of linear expressions is one of the primary methods used to solve quadratic equations. In the previous lecture we examined one form of "special product" quadratic expression whose factors can...
Why U
Algebra 71 - Solving Difference of Squares Quadratic Equations
Factoring a quadratic expression into a pair of linear expressions is one of the primary methods used to solve quadratic equations. The trick is to find a pair of linear expressions which when multiplied together, produce the quadratic...
Why U
Algebra 70 - The Zero Product Property
The "zeros" or "roots" of a quadratic function of a real variable x, correspond to the function's x-intercepts. It is not always easy to find the zeros of a quadratic function. However, quadratic functions can be factored into the...
Curated Video
Create and Graph Relationships with Linear Functions
Learn how to create and graph relationships using linear functions. The example used is about a photography business, where the teacher guides the students through the process of graphing the relationship between profit and the number of...
Curated Video
Identifying the Value of K in Translations
In this video, students learn how to identify the value of K in translations by exploring different representations of linear equations. They are taught that K represents a constant value in the algebraic representations of...
Khan Academy
Exploring Linear Relationships
In this video, we create an equation and graph to show a linear relationship based on the word problem. This is a good example for algebra and pre-algebra learners to help them understand creating equations and graphing relationships...
Khan Academy
Basic Linear Function
This video explores a basic linear cost equation. Given a rate-per-photo and a one-time cost, write a function representing the amount a customer would pay for x number of photos.
Curated OER
Linear, Quadratic, and Exponential Models
Viewers play a game with Sal, in which he presents three different data sets that come from either linear, quadratic, or exponential functions. In solving this puzzle, Sal manages to not only provide a strong definition of each function,...
Khan Academy
SAT Prep: Test 1 Section 3 Part 4
Pushing through to problems 11-12 on page 398 of The Official SAT Study Guide, Sal goes into comprehensive detail on each problem. Problem 11 involves geometry, including the function of pi, and problem 12 involves non-constant slopes....
Khan Academy
SAT Prep: Test 6 Section 7 Part 3
Sal finishes problem 10 in this video, as well as problems 11-13 on page 735. Students can practice skills such as linear functions, slopes, and calculating permutations. Problem 12 allows viewers to see the process of elimination in...
Mathispower4u
Find the Intersection of Two Linear Functions - Example 2
Make the connection between the intersection of two functions and a system of equations. The class watches an informative algebra video on finding the point of intersection of two linear functions. The presenter shows the steps to prove...
Flipped Math
Graphing Functions to Solve Equations
Intersections become solutions. Scholars watch a video on using a graphing calculator to find the solution to an equation in one variable. While watching the presentation, pupils practice working some of the examples and compare their...
Flipped Math
Linear vs. Exponential
Linear or exponential?. Learners watch an informative video comparing situations that may be modeled by either a linear or exponential relationship. Pupils determine the type of relationship and then create a function that models the...
Flipped Math
Exponential Growth
They grow by leaps and bounds. Learners watch a quick review on function notation as they prepare to learn more about exponential growth. Using their knowledge from sequences, pupils find out whether a function is linear or exponential,...
Mathispower4u
The Difference Quotient (Linear Function) Example 1
Difference quotients are easy ... just subtract and divide. Viewers watch an instructional video to learn how to determine the difference quotient of a linear function. The example covers the function f(x) = 2x - 5.
Mathispower4u
Using Rates of Change to Build Tables and Graphs - Part 2
Let knowledge of rates of change flow into a lesson. By watching a video, pupils see an additional real-world example on rates of change. Using provided information about a leaking water tank, they complete a table of values and plot a...
Mathispower4u
Using Rates of Change to Build Tables and Graphs - Part 1
Here's a nice, clean resource on rates of change. For an example involving the cost of a carpet cleaning service, scholars watch a video that shows how to create a table of values and a graph. They must determine whether the graph is a...
Mathispower4u
Linear Function Application
Bring the video in tow when studying linear functions. Young pupils learn to apply linear functions to real-world contexts by watching a short instructional video. Given information about the cost of hiring a tow company, they create a...