Curated Video
Add Three Digits Number Line
The video “Add Three Digits Number Line” demonstrates how to use a number line and knowledge of place value to solve addition equations with 2 addends that are each 3 digits.
Flipping Physics
Force vs. Time on a Dynamics Cart
When the forces in a free body diagram don’t change students often think that Newton’s Second Law will yield the same results. This demonstration shows that is not true. This is a step-by-step analysis of tension force as a function of...
Brian McLogan
How to find the area of a figure by using multiple figures (mistake)
👉 Learn how to find the area and perimeter of composite shapes. A composite shape is a shape that is composed of different shapes. The area of a shape is the measure of the portion enclosed by the shape while the perimeter of a shape is...
Visual Learning Systems
Properties of Numbers: Using Properties of Addition
This math program explores the major mathematical laws on properties including the cummutative property, associative property, and additive identity property. Colorful real-world examples help make these confusing concepts easy to...
ACDC Leadership
Lump Sum and Per Unit: Econ Concepts in 60 Seconds
My 60 second explanation of the difference between lump sum and per unit subsidies. Remember, lump sum affects only fixed costs so MC won't shift. A per unit subsidy will affect MC and therefore output.
Visual Learning Systems
Investigating Heredity: Video Review
This fascinating program helps students understand the basics of heredity. Acquired traits and inherited traits are defined and contrasted. Special emphasis is placed on some easy to understand human traits that are inherited. Concepts...
Brian McLogan
Learning to find the derivative of a polynomial using sum and difference
👉 Learn how to find the derivative of a function using the power rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative...
Brian McLogan
How to evaluate the sum of two functions
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Brian McLogan
Learning to determine the number of sides of a regular polygon given one interior angle
👉 Learn how to determine the number of sides of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines. A regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon...
Brian McLogan
Finding the formula for a sequence of terms
👉 Learn how to write the rule of a sequence given a sequence of numbers. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. To write the explicit formula of...
Brian McLogan
Pre-Calculus - Using the sum formula for cosine to evaluate an angle cos(75)
👉 Learn how to evaluate the cosine of an angle in radians using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...
Brian McLogan
How to use left hand riemann sum approximation
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and...
Brian McLogan
Finding the resultant vector of the sum of two vectors
Learn how to add/subtract vectors. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we simply add each of the corresponding components of the vectors.
Brian McLogan
Given the number of sides of a regular polygon find the measure of each interior angle
👉 Learn how to determine the measure of the interior angles of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines. A regular polygon is a polygon whose sides are congruent (equal). The interior...
Brian McLogan
Learning how to solve an equation using the sum and difference formulas for sine
👉 Learn how to solve equations using the angles sum and difference identities. Using the angles sum and difference identities, we are able to expand the trigonometric expressions, thereby obtaining the values of the non-variable terms....
Brian McLogan
What is a factorial
👉 Learn all about factorials. Factorials are the multiplication of a number in descending integer values back to one. Factorials are used often in sequences, series, permutations, and combinations. Factorial quotient expressions are...
Brian McLogan
Finding the formula of alternating signs of a sequence
👉 Learn how to write the rule of a sequence given a sequence of numbers. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. To write the explicit formula of...
Brian McLogan
Unit 4 trapezoidal sum approximation from a table
👉 Learn how to approximate the integral of a function using the trapezoid area approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and...
Brian McLogan
Learn how to solve a trigonometric equation using sum and difference formulas
👉 Learn how to solve equations using the angles sum and difference identities. Using the angles sum and difference identities, we are able to expand the trigonometric expressions, thereby obtaining the values of the non-variable terms....
Brian McLogan
How to use special right triangles to determine the area of a parallelogram
👉 Learn all about Area and Perimeter. In this playlist, we will explore how to determine the area and perimeter of 2-dimensional figures. We will also look into combinations of figures. The focus will be on rectangles, squares,...
Brian McLogan
Applying iram to a table of values
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and...
Curated Video
Apache Spark 3 for Data Engineering and Analytics with Python - Aggregations - Min Max Sum SumDistinct AVG
In this session, we will work with the aggregation functions: min, max, sum, sumdistinct, and avg. This clip is from the chapter "Structured API - Spark DataFrame" of the series "Apache Spark 3 for Data Engineering and Analytics with...
Brian McLogan
Find the measure for the sides of an equilateral triangle
👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides...