Francis PolytechnicSenior High School

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Neff, Elaine » Home

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  • High School: Poly
  • College: CSUN
  • Degree: B.A. Mathematics
  • Credential: Secondary Education in Mathematics
  • 25 Years with U.S. Postal Service

Other interests: Boy Scout Leader, Troop 104 in Mission Hills. I like hiking, cycling, running and the outdoors. I am also a bit of a techie.


In order to be successful in Algebra, you must master these 4 tools, FIRST!
  1. Graphing
  2. Integers
  3. Combine Like Terms
  4. Distribution

Multiplication

Practice 1 – Practice Multiply One-Digit Numbers

Practice 2 -  Multiply Two-Digit Numbers

 

Division

Practice 1Basic Division

            Practice 2 - One Digit Division

 

Integers

Practice  Adding and Subtracting Negative Numbers

 

Combine Like Terms

Practice – Combining Like Terms

 

Distributive Property

Practice - Distributive Property with Variables

 

Graphing

            Practice 1 – Points on the coordinate plane

            Practice 2 – Coordinate plane word problem in 4 quadrants

 

9-1 – Slope, pg. 123-127

            Video 1 – Intuitive understanding of slope example

            Video 2 – Finding the slope of a line from its graph

            Practice 1 Slope intuition

            Video 3 – Graphical slope of a line

            Practice 2 Slope from a graph

            Video 4 – Slope from two ordered pairs 1

            Video 5 – Slope from two ordered pairs 2

            Practice 3 Slope from two solutions

           

12-1 – Slope Intercept Form of an equation of a line, pg. 175-178

            Video 1 – Graph from slope-intercept equation

            PracticeSlope from an equation in slope-intercept form

            Practice 2Graph from slope-intercept equation

            Video 2Slope-intercept equation from a graph

            Practice 3Slope-intercept equation from a graph

            Video 3Slope-intercept form from table

                       

12.2 –Point-Slope Form of an Equation of a Line, pg. 179-182

            VideoSlope-intercept equation from slope and a point

            PracticeSlope-intercept equation from two solutions

 

12.3 – pg. 183-186, Standard Form of an Equation of a Line

            Video 1Converting linear equations to slope-intercept form

            PracticeSlope from an equation in standard form

 

Extra – x and y-intercepts

            Video 1Finding the x-intercept of the line

            Video 2Finding intercepts from a table

            Practice 1Intercepts from a graph

            Video 3Finding intercepts from an equation

            Video 4x- and y-intercepts 2

            Practice 2Intercepts from a linear equation

 

12.4 – pg. 187-190 Slope of Parallel and Perpendicular Lines

            Video 1 – Parallel and perpendicular lines intro

            Video 2 – Equations of parallel and perpendicular lines

            Practice 1 Equations of parallel and perpendicular lines

 

16.1 – 16.2 – pg. 239-246, Writing and Graphing Inequalities in Two Variables

            Video 1 – Introduction to graphing inequalities

            Video 2 – How to find the inequality that is represented by a given graph

            Practice 1 Find the inequality representing a given graph

            Video – How to graph a two-variable linear inequality

            Practice 2 Graph inequalities and check solutions

 

17.1 – pg. 251-255, Solving Systems of Equations by Graphing

            Video 1 – How to solve a system of linear equations graphically

 Video 2How to solve a system of linear equations, both exactly and approximately

 Practice 1 Solve systems of equations graphically

 

17-2 – pg. 256-260, Solving Systems of Equations by Table and Substitution

            Video 1 – Talking bird solves systems of equations with substitution

            Video 2 – How to solve a system of linear equations with substitution

            PracticeSolve systems of linear equations with substitution

 

17.3 – pg. 261-263, Solving Systems of Equations by Elimination

            Video 1 – Solve systems of linear equations with elimination

 Video 2 – How to solve a linear system of linear equations with elimination Advanced Example

 Practice Solve systems of linear equations with elimination (Advanced)

           

Extra: Video 1 – How to check a solution to a system of equations

            Practice 1 Check solutions to systems of equations

 

Word Problems with systems of equations

            Video 1 – How to solve a word problem with a system of equations

            Practice 1 Systems of linear equations word problems

            Video 2Systems of equations word problems (Weight of TV and DVD)

            Video 3Systems of equations word problems  (Price of apples and oranges)

            Video 4Systems of equations word problems (Nickels and Quarters)

            Video 5Systems of equations word problems (Price of coffee and croissant)

 

18-1 – pg. 273-277, Representing the Solution of a System of Inequalities

            Video 1Introduction to graphing systems of linear inequalities.

            Video 2How to graph a system of inequalities and check asolution

            PracticeGraph systems of inequalities and check solutions

 

18-2 – pg. 278-280, Interpreting the Solution of a System of Inequalities

            Video 1 – Modeling situation using systems of linear inequalities

            Video 2 – How to model a real world situation with a system of inequalities

 Video 3 – How to solve a word problem that uses a system of linear inequalities

 Video 4 – How to analyze the graph of a system of linear inequalities in terms of its context

 Practice Systems of linear inequalities word problems

 

19-1 – pg. 287-290, Basic Exponent Properties

            Video1 – Exponent properties involving products

            Video 2 – Exponent properties involving quotients

 Video 3 – Exponent properties products and exponents raised to an exponent

            Video 4 – Exponent properties 1

            Video 5 - Exponent properties 2

            Video 6 – Exponent properties 3

            Video 7 – Exponent properties 4

            Practice Exponent Properties

 

19-2 – pg. 291-293, Negative and Zero Powers

            Video 1 – Negative exponents

            Video 2 – Negative exponent intuition

            Video 3 – Zero, negative, and fractional exponents

            PracticePositive and negative exponents

 

20-1 – pg. 299-303, Radical Expressions

            Video 1 – “Radicals 1 of 4” from Yaymath.com print out worksheet and do quiz.

            Video 2 – “Radicals 2 of 4” from Yaymath.com print out worksheet and do quiz.

 

20-2 – pg. 304-306, Adding and Subtracting Radical Expressions

            Webpage – Coolmath.com

            Homework from Springboard pg. 311-312 #1-3, 6-8, 12-16

 

20-3 – pg. 307-310, Multiplying and Dividing Radical Expressions

            Video – YouTube Multiplying, Dividing and Simplifying Radical Expressions

 HomeworkDividing Radical Expressions #1-10

 Homework - Multiplying Radical Expressions #1-10

 

22-1 – pg. 325-328, Exponential Functions and Exponential Growth

            Video 1 – Intro to exponential Functions

            Video 2Initial value & common ratio of exponential functions

            Practice Write exponential functions

 

22-2 – pg. 329-332, Exponential Decay

 

22-3 – pg. 333-338, Graphs of Exponential Functions

            Video 1 – Graphing basic exponential functions

            Practice 1 Write exponential functions from tables and graphs

            Practice 2Graph basic exponential functions

 

24-1 – pg. 355-358, Polynomial Terminology

            Video 1 – The parts of polynomial expressions 1 (Labeled differently on Khan)

 Video 2– The parts of polynomial expressions

 Video 3Simplifying Polynomials (Combine Like Terms)

 

24-2 – pg. 359-363, Adding Polynomials

            Video 1 – Adding Polynomials (Labeled differently on Khan)

            Video 2Adding Polynomials 2

 

24-3 – pg. 364-366, Subtracting Polynomials

            Video – Adding and subtracting polynomials

            Practice - Add and subtract polynomials

 

25-1 – pg. 369-375, Multiplying Binomials

            Video 1Multiplying binomials: leading coefficient 1.

            Practice Multiply binomials

 

25-2 – pg. 376-378, Special Products of Binomials

            Video 1 – More examples of special products (Watch this one first)

            Video 2Squaring a binomial

 Video 3 – Special products of the form  (More squaring a binomial)

            Video 4Special products of the form

            Practice Polynomial special products

 

25-3 – pg. 379-380, Multiplying Polynomials

Video  – Multiplying binomials and polynomials

 

26-1 – pg. 385-387, Factoring by Greatest Common Factor (GCF)

            Video 1 – Intro to factors & divisibility

            Video 2Greatest common factor of monomials

            Practice Greatest common factor (no variables)

 Video  2Monomial factorization

            Video  3Monomial factorization: area model

            PracticeFactor monomials

            Video 4 – Factoring with the distributive property (1) (polynomials)

            Video 5 – How to factor a quadratic binomial with two variables (2)

            Video 6 – How to factor a quadratic binomial with two variables (3)

            Video 7 – How to factor a quadratic binomial with two variables (4)

            Practice – The distributive property with variables

 

26-2 – pg. 388-390, Factoring Special Products

            Practice 1 – Factor difference of squares (basic)

            Video 1 Factoring difference of squares: leading coefficient 1

            Video 2– Identifying perfect square form

            Practice 2Factor perfect squares: leading coefficient 1

 

27-1 – pg. 393-387, Factoring Trinomials

            Video 1 – Factoring quadratics as  concept 1

            Video 2Factoring quadratics as  concept 2

            Video 3Factoring quadratics as  examples

            PracticeFactor quadratics: leading coefficient =1

           

27-2 –pg. 398-400, Factoring  when  and when

 Video 1Factor by grouping

            Practice 1 Factor quadratics: leading coefficient

            Video 2Factoring quadratics: common factor + grouping

            Video 3Factoring quadratics: negative common factor + grouping

            Practice 2Factor polynomials: quadratic methods

 

28-1 – pg. 403-405, Simplifying Rational Expressions

            Video 1 – Understanding square roots

            Practice 1Square roots of perfect squares

            Video 2Simplify square roots

            Video 3Simplify radicals

            Practice 2Simplify square roots

            Video 4Simplifying sums of radicals

            Video 5Intro to rationalizing the denominator

 

28-2 – pg. 406-410, Dividing Polynomials

            Video 1 – Simplifying rational expressions: (monomial divided by monomial)

            Practice 1 – Simplifying rational expressions: (monomial divided by monomial)

Video 2 – Dividing polynomials: (polynomial divided by monomial)

 

28-3 – pg. 411-412, Multiplying and Dividing Rational Expressions

            Video 1 Multiplying and Dividing Rational Expressions: monomials

            Practice 1Multiply and divide rational expressions (basic)

            Video 2Multiplying and dividing rational expressions: Multiple Variables

            Video 3Multiplying rational expressions

            Video 4Dividing rational expressions

            Practice 2Multiply and divide rational expressions

            Practice 3Multiply and divide rational expressions (Advanced)

 

28-4 – pg. 413-416, Adding and Subtracting Rational Expressions

            Video 1 – Adding and subtracting rational expressions: like denominators

            Practice 1Add and subtract rational expressions: like denominators

            Video 2Intro to adding rational expressions with unlike denominators

            Video 3Adding rational expression: unlike denominators

            Video 4Subtracting rational expressions: unlike denominators

            Practice 2Add and subtract rational expressions: unlike denominators

 

29-1 – pg. 423-426, Modeling with a Quadratic Function

 

29-2 – pg. 427-430, Graphing and Analyzing a Quadratic Function

 

31-1 – pg. 455-458, Solving by Graphing or Factoring

            Video 1 – Solving quadratics by factoring

            Notes – Solving quadratics by factoring

            Practice 1Solve quadratic equations by factoring: leading coefficient =1

            Video 2Solving quadratics by factoring: leading coefficient ≠1: GCF

            Practice 2Solve quadratic equations by factoring: leading coefficient ≠1 GCF

 

31-2 – pg. 458-461, The Axis of Symmetry and the Vertex

 Practice 1 Vertex, Axis of Symmetry, X-intercepts      

 

31-3 – pg. 462-464, Graphing a Quadratic Function

            Video 1 – Graph using a table

            Video 2 – Graph by factoring

            Practice 1Graph by factoring

 

30-1 – pg. 433-439, Translations of the Quadratic Parent Function

            Video 1 – Shifting Stretching and Shrinking the Quadratic Parent Function

 

30-2 – pg. 440-443, Stretching and Shrinking the Quadratic Parent Function

30-3 – pg. 444-450, Multiple Transformations of the Quadratic Parent Function

32-1 – pg. 467-470, The Square Root Method

            Video 1 – Solving quadratics by taking square roots

            NotesSolving quadratics by taking square roots

            Video 2Solve quadratics by taking square roots

            Practice 1Solve quadratic equations by taking square roots

 

32-2 – pg. 471-473, Completing the Square

            Notes – Solving quadratics by completing the square

            Video 1 – Rewriting quadratic expressions as perfect squares

            Practice 1Rewrite quadrats as perfect squares

            Video 2Solving quadratics by completing the square

            Practice 2 – Solving quadratics by completing the square

 

32-3 – pg. 474-476, The Quadratic Formula

            Notes – Understanding the quadratic formula

            Video 1Using the quadratic formula

            Video 2Using the quadratic formula: rearranging

            Video 3 – Using the quadratic formula: rearranging (example 2)

            Video 4Using the quadratic formula: negative coefficients

            Practice 1Solve quadratic equations with the quadratic formula

 

32-4 – pg. 477-479, Choosing a Method and Using the Discriminant

            Video 1 – Using the quadratic formula: number of solutions

            Practice 1 Number of solutions of quadratic equations

 

33-1 – pg. 485-487, Fitting Data with a Quadratic Function

            Video 1 – Quadratic equations word problem: projectile

 

33-2 – pg. 488-490, Interpreting Solutions of Quadratic Equations

Extra – Proof of the quadratic formula