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Brian McLogan
How do you describe your solutions using the discriminate
👉 Learn how to solve a quadratic equation by applying the quadratic formula. To apply the quadratic formula the quadratic equation must be equal to zero. Then you can apply the quadratic formula to determine solutions to the equation,...
Brian McLogan
What does the discriminant tell us about the solutions of a quadratic equation
👉 Learn all about the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of...
Why U
Pre-Algebra 11 - Fractions and Rational Numbers
The first fractions used by ancient civilizations were "unit fractions". Later, numerators other than one were added, creating "vulgar fractions" which became our modern fractions. Together, fractions and integers form the "rational...
Curated Video
Converting Repeating Decimals into Fractions: Proving Rationality
This video introduces the concept of rational numbers and discusses the skepticism surrounding repeating decimals. Through examples and a pattern, the teacher shows how to convert repeating decimals into fractions, providing a clear...
Curated Video
Working with Decimals, Fractions, and Whole Numbers
In this video, the teacher explains how to work with decimals, fractions, and whole numbers in real-world contexts. They demonstrate how to find the average speed of a car and how to calculate the amount of money left after spending a...
Curated Video
Identifying Implied Information in Part to Part Ratios
In this video, the teacher explains the concept of ratios and focuses specifically on part to part ratios. The teacher emphasizes the importance of identifying implied information in ratios and demonstrates this by using a scenario of a...
Curated Video
Using Addition and Division to Solve Real World Problems with Rational Numbers
In this video, the teacher demonstrates how to use addition and division to solve real-world problems involving rational numbers. They explain concepts like equivalent fractions and order of operations, and provide examples of applying...
Curated Video
Rewriting Problems with Rational Numbers Using Properties of Multiplication and Division
In this lesson, students learn how to rewrite problems involving rational numbers by applying properties of multiplication and division. They review the commutative property, which states that the order of numbers being multiplied or...
Brian McLogan
How to do the number of solutions of a quadratic relate to the x intercepts
👉 Learn how to graph a quadratic equation in standard form. To do this we will explore multiple methods such as the intercept method, identifying the vertex, axis of symmetry and identifying points on the graph using a table. Once you...
Why U
Algebra 78 - Imaginary and Complex Numbers
The concept of imaginary and complex numbers was a powerful innovation that enabled mathematics to progress into previously uncharted territory. Although this concept was not entirely intuitive, extending our number system to include...
Let's Tute
Representation of Irrational Numbers on Number Line
This video explains how to represent irrational numbers on the number line using the spiral method with Pythagoras theorem. It provides step-by-step instructions and examples, including how to represent root 5 and root 6 on the number...
Brian McLogan
How to write the polynomial equation given imaginary zeros
👉 Learn how to write the equation of a polynomial when given imaginary zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The...
Brian McLogan
Learn how to use Descartes rule of signs and the fundamental theorem of algebra
👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...
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Converting Decimal Rational Numbers into Fractions
In this video, the teacher explains how to convert decimal rational numbers into fraction form, including both finite and infinite decimals. The concept of place value is also introduced to aid in understanding the process.
Brian McLogan
Tutorial - How do we divide complex numbers, 8/i
In this video series I will show you how divide complex numbers. We do this by eliminating the imaginary number on the denominator by producing equivalent fractions. We do this by multiplying i if we have an imaginary number on the...
Brian McLogan
How to simplify a radical expression by rationalizing the denominator
👉 Learn how to find the 4th root of rational expressions. To find the 4th root of a rational expression, we first express the rational expression as the 4th root of the numerator divided by the 4th root of the denominator. Next we...
Curated Video
Subtracting Rational Numbers
In this video lesson we will learn that we use the same rule for subtracting rational numbers as we did for subtracting integers. We will rewrite the subtraction problem to be an addition problem by adding the opposite value. Fondly...
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Real Numbers - Some Stupid Math Mistakes 2 - Quiz
In this video we will learn some mistakes we make in real numbers
Curated Video
Using the Associative Property of Multiplication with Rational Numbers
In this video, the teacher explains how to rewrite multiplication problems with rational numbers using the associative property of multiplication. They review the order of operations and explain how to perform operations inside grouping...
Curated Video
Evaluating Multiplication Expressions Using Properties
Use the commutative and associative properties to rearrange factors in an expression containing rational numbers.
Curated Video
Add a Whole Number and a Negative Fraction
This short video is a commonly missed question in my Grade 7 Math classroom. Watch and listen for the rules to be sure you know how to add positive and negative fractions!
Apply and extend previous understandings of operations...
Apply and extend previous understandings of operations...
Brian McLogan
Why do I need to know the difference of real numbers
👉 Learn how to classify numbers. We will classify numbers as real, imaginary, rational, and irrational.
Curated Video
Exploring the Division of Rational Numbers
Interpret the division of rational numbers as fractions.
Brian McLogan
If you Want an A You Need to know how to divide these polynomials
If you Want an A You Need to know how to divide these polynomials