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Math PapaPodcasts
by PapaPodcasts
Videopodcasts based on various Math Concepts such as: Quadratic Functions - Parabolas and Completing the Square - Polynomials - Expanding, Simplifying Exponent Rules - Algebra II
Episodes
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Factoring Ep.1: Guideline to Factoring - 6:34
KEY CONCEPTS: First step to factoring, is to find a common factor. After that, regardless of whether there is a common factor or not is to count the number of terms. Based on that will determine how to Factor
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Polynomials Ep. 8: Special Products (a+b)2 - 6:13
KEY CONCEPTS:(a+b)^2 = a^2+2ab+b^2 - square your a value - first term of your Perfect Square Trinomial - square your b value - third term of your Perfect Square Trinomial - multiply your a and b value together and then multiply that value by 2 to get your middle term of your trinomial
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Polynomials Ep. 7 - Multiplying Binomials
KEY CONCEPTS: F.O.I.L Method - First - Outer - Inner - Last Multiplying binomials form trinomials
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Parabolas Ep. 7 - Introduction of the (0,k) Vertex Form - 22:38
KEY CONCEPTS: In this video we see how Quadratic Function written in the form of: y=ax^2+k - will lead us to a vertex of (0,k)
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Parabolas Ep. 6 - Using the 1,3,5-Pattern for Graphing - 11:30
KEY CONCEPTS: In this video we look at the 1,3,5-Pattern for graphing quadratic function (parabolas). These videos are intended for the viewer to steer away from using Table of Values and to use the Vertex form along with the 1,3,5-Pattern. How did we come up with the 1,3,5-Pattern? Look closely…
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Parabolas Ep. 2 - The Quadratic Function - 4:16
KEY CONCEPTS: The following video looks at the various ways that quadratic functions can be written. Be on the lookout for such equations, because if you ever come across them you'll know they form a parabola.
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Parabolas Ep. 11 - Steps to Completing the Square - 13:32
KEY CONCEPTS: Completing the Square involves converting a quadratic function from STANDARD FORM into a VERTEX FORM. Steps: 1. Group the x's together and keep the constant (c-value) off to the side. 2. Factor the a-value from x^2 and x (IF we have an a-value) 3. Divide the x-value by 2 and then...
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Parabolas Episode 10: Completing the Square - 24:40
KEY CONCEPTS: Completing the Square involves converting a quadratic function from STANDARD FORM into a VERTEX FORM. Steps: 1. Group the x's together and keep the constant (c-value) off to the side. 2. Factor the a-value from x^2 and x (IF we have an a-value) 3. Divide the x-value by 2 and then...
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Parabolas Episode 8 - Introduction of the (h,0) Vertex Form - 21:02
KEY CONCEPTS: This video looks at Quadratic Function written in the form: y=a(x-h)^2 - where the vertex is (h,0) **NOTE: When writing the x-value of the vertex, take the opposite sign of what's within the brackets. (i.e. y=2(x+3)^2 would give us a vertex of (-3,0)
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Parabolas Ep. 3 - Looking at the Differences in Simple Quadratic Expressions - 39:34
KEY CONCEPTS: The following podcasts investigates table of values for quadratic functions. Understanding that difference we can graph other quadratic functions without the need to complete a table of values.
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Parabolas Episode 1 - Who Cares About Parabolas - 2:34
This short video just looks at how parabolas are everywhere.
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Factoring Ep.5: Factor Quadratics (Trinomials), a not = 1 - 10:16
KEY CONCEPTS: Notice that your trinomial is a quadratic function, where the value of a is NOT equal to 1. Use the sum-product rule i.) find 2 numbers that multiply to your "a" and "c" value, that ALSO ADD up to your "b" value. ii.) expand your middle term iii.) factor by grouping iv.) answer…
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Polynomials Ep. 6 - Dividing Monomials - 3:26
KEY CONCEPTS: same rules apply like when multiplying monomials, except that we are dividing. Also remember the exponent rule, when powers have the same base, subtract the exponents.
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Polynomials Ep. 5 - Multiplying Monomials - 5:30
KEY CONCEPTS: When multiplying monomials, multiply: - numbers with numbers - same letters with same letters **NOTE: When multiplying the letters with one another keep in mind the exponent rule for multiplying powers with the same base (ADD the exponents)
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Polynomials Ep. 4 - Subtracting Polynomials - 5:32
KEY CONCEPTS: When subtracting polynomials, distribute the negative from outside of the brackets by REVERSING the signs of all the terms within the brackets.
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Polynomials Ep. 3 - Adding Polynomials - 5:42
KEY CONCEPTS: Since the function outside of the SECOND set of brackets is a positive you can simply remove the brackets and collect like terms. LIKE TERMS: terms that have the same variable (letter) as well as the same exponent. When adding the like terms, simply add the numbers in front and keep...
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Polynomials Ep. 2 - Distributive Law - 3:32
KEY CONCEPTS: Multiply the outside value (term) with EVERYTHING inside of the brackets.
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Polynomials Ep. 1 - Types of Polynomials - 4:42
KEY CONCEPTS: 7x - the 7 represents the numerical coefficient - the x represents the variable (literal coefficient - the unknown) - together they would be multiplied together Monomial - consists of one term (i.e. 7x, 5y^2, -3) Binomial - consists of two terms (i.e. 2x-5, 3y^2 + 5y) Trinomial -...
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Factoring Ep.7: Factor Difference of Squares - 7:19
KEY CONCEPTS: Difference of squares are binomials with the function of subtraction separating the 2 terms. NEVER a positive value. When Factoring such special quadratics: i.) square root the first term and the second term ii.) place the first value as the first term of 2 sets of binomials and the...
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Factoring Ep.4: Factor Quadratics (Trinomials), a=1 - 13:53
KEY CONCEPTS: Factoring trinomials in the form of x^2+bx+c i.) Find SUM-PRODUCT: ac-value and b-value ii.) Square root x^2 value and open up a set of binomial brackets iii.) Write x (or whatever variable is squared as your trinomials first term) as your first term in both brackets iv.) Write your...
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Factoring Ep.3 - Factor by Grouping - 9:50
KEY CONCEPTS: This works only with 4 term polynomials STEPS: i.) Find a common factor from all 4 terms ii.) Group the first 2 terms and then the last 2 terms iii.) Find common factor from first group iv.) Find common factor from second group v.) Factor out the common factor (bracketed terms) vi.)...
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Polynomials Ep.11: Area Perimeter & Polynomials - 5:33
KEY CONCEPTS: Area = length * width Perimeter = add ALL sides together
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Polynomials Episode 10: Difference of Squares - 5:26
KEY CONCEPT: (a-b)(a+b) = a^2-b^2 Since the middle terms equals zero, of the FOIL method all we need to do it the First and the Last. **NOTE: we subtract the first squared value with the second.
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ABOUT THIS SHOW
Videopodcasts based on various Math Concepts such as: Quadratic Functions - Parabolas and Completing the Square - Polynomials - Expanding, Simplifying Exponent Rules - Algebra II
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