creditswww.guhsd.net Algebra 1 Algebra 2 Grossmont Union High School District (619) 644-8000
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note about the videos...
Reuben Villar with Catherine Kuznitz (used with permission) and Mike Johnson Correlated to Accelerated Math Algebra 1. Chapter and section numbers used in the videos may not agree with the Heath text. |
QuickTime
video
(broadband recommended) |
PowerPoint
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| 1 Integers | ||
| 1 - Graphing integers |  |
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| 2 -Adding and subtracting integers |
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| 3 - Multiplying and Dividing integers | |
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| 4,5 - Order of operations |
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| 6 - Raising integers to powers | |
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| 7 - Adding and Subtracting rational numbers | |
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| 8 - Multiplication and division of fractions | |
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| 9 - Word problems with rational numbers | |
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| 2 introduction to Algebra | ||
| 10 - Properties of addition and multiplications | |
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| 12 - Order real numbers | |
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| 13 - Inverses | |
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| 14 - Absolute value | |
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| 15 - Word phrases | |
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| 16 - Evaluate algebraic expressions | |
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| 17 - Word problems | |
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| 18 - Combine like terms | |
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| 19 - Combine like terms with parentheses | |
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| 3 Solving Equations | ||
| 20 - Verify solutions | |
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| 21 - One-step equations: add and subtract |
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| 22 - One-step equations: multiply and divide |
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| 23 - Two-step equations | |
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| 24 - Solve by combining like terms | |
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| 25 - Solve by combining like terms with parentheses | |
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| 26 - Solve formulas | |
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| 29 - Solve with least common denominator | |
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| 31 - Motion problems |
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| 4 Graphing | ||
| 33 - Midpoint |
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| 34 - Rectangles | |
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| 35 - Slope |
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| 36 - Slopes from a graph | |
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| 37 - Slopes from equations | x |
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| 38 - Find intercepts |
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| 39 - Plot points | |
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| 41 - Graph eqations given point and slope |
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| 42 - Graph lines,slope-intercept form | x |
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| 43 - Graph lines,standard form | x |
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| 44 - Graph lines: horizontal and vertical | x |
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| 46 - Write equations in standard/slope-intercept forms | x |
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| 47 - Write equations given slope and y-intercept | x |
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| 48 - Write equations given a point and slope | x |
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| 49 - Write equations given two points | x |
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| 50 - Write equations from graphs | x |
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| 51 - Write equations parallel or perpendicular to a line | x |
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| 52 - Word problems: linear equation models | x |
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| 53 - Solve absolute value equations | x |
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| 54 - Graph absolute value equations | x |
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| 55 - Word problems: interpret slope and intercept in context | |
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| 5 Functions |
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| 56 - Domain and Range | x |
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| 57 - Determine if relations are functions |
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| 59 - Evaluate functions | |
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| 62 - Identify graphs of functions | |
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| 63 - Identify equation of function given table of valuew | |
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| 64 - Stem and leaf plots | |
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| 6 Inequalities | ||
| 68,69 - Solve and graph inequalities | x |
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| 70 - Solve and graph inequalities | |
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| 71 - Word problems with inequalities | |
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| 72,73 - Solve and graph absolute value inequalities | x |
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| 75,76 - Solve and graph compound inequalities | x |
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| 77 - Graph inequalities in two variables | x |
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| 78 - Solve systems of Inequalities | x |
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| 7 Ratio and Proportion | ||
| 79 - Ratios | |
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| 81 - Unit rates | |
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| 82 - Proportional ratios | |
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| 84 - Solve proportions | x |
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| 85 - Word problems: solve proportions | x |
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| 8 Systems of Equations | ||
| 87 - Solve linear systems by graphing |
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| 89 - Solve systems by substitution |
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| 90 - Solve inconsistent/dependent systems by substitution |
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| 91 - Solve independent systems by elimination |
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| 92 - Solve inconsistent/dependent systems by elimination | |
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| 96 - Word porblems: solve systems, investment problems |
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| 97 - Word porblems: solve systems, mixture problems |
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| 9 Exponents | ||
| 98 - Write repeated multiplications as powers |
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| 99 - Positive exponents in numeric expressions | |
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| 100 - Negative/zero exponents in numeric expressions | x |
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| 102 - Properties of exponents in numeric expressions | |
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| 104 - Multiply algebraic expressions with signed exponents | x |
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| 106 - Divide algebraic expression with positive exponents | x |
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| 107 - Divide algebraic expression with negative exponents | x |
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| 108 - Raise products to powers | x |
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| 109 - Division and power properties of exponents | |
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| 110 - Scientific and standard notation, conversion | |
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| 111 - Multiplying/Dividing with Scientific notation | |
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| 112 - Word Problems: Scientific notation | |
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| 10 Polynomials | ||
| 113 - Evaluate polynomials for given values | |
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| 114 - Add polynomials |
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| 115 - Subtract polynomials |
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| 116 - Add/subtract 3 polynomials | |
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| 118 - Multiplying monomials by polynomials | |
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| 119 - Multiplying 2 binomials, (x + a)(x + b) |
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| 120 - Multiplying 2 binomials, (ax + b)(cx + d) |
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| 121 - Multiplying 2 binomials, (ax + by)(cx + dy) | x |
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| 122 - Square a binomial | x |
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| 123 - Multiplying binomials by trinomials | |
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| 11 Factoring | ||
| 129 - Factoring common terms from polynomials | |
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| 130-133 - Factor trinomials | x |
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| 135 - Factor difference of 2 perfect squares | |
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| 137 - Factor trinomials, perfect squares | |
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| 12 Radicals | ||
| 139 - Simplify radicals | x |
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| 141 - Use distance formula | x |
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| 142 - Add and subtract like radicals | |
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| 143 - Add and subtract unlike radicals | x |
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| 144 - Multiply and simplify radicals | |
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| 145 - Multiply 2 binomials containing radicals | |
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| 146 - Divide radicals | |
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| 147 - Rationalize denominators | x |
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| 149 - Solve equations containing radicals | x |
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| 13 Quadratics | ||
| 152 - Solve quadratic equations, square root rule | x |
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| 153 - Factor to solve quadratic equations, (integers) | x |
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| 154 - Factor to solve quadratic equations, (rational) | x |
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| 155 - Complete the square | |
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| 156 - Complete square to solve quadratic equations | |
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| 157 - Solve quadratic equations, quadratic formula | x |
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| 158 - Find number of x-intercepts by factoring of quadratic formula | |
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| 159 - Graph quadratic equations | x |
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| 160 - Find vertex, axis, maximum, minimum, direction of parabola | |
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| 162 - Word problems: Pythagorean problems | x |
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| 164 - Word problems: Area and perimeter | x |
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| 14 Rational Expressions | ||
| 168 - Domains of rational expressions | |
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| 169 - Factor and simplify rational expressions | |
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| 170 - Multiply rational expressions | x |
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| 171 - Divide rational expressions | x |
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| 174 - Find least common multiples of polynomial expressions | x |
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| 176 - Add rational expressions | x |
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| 178 - Subtract rational expressions | x |
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| 180 - Solve equations containing rational expressions | x |
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Reuben Villar is a mathematics instructor at Steele Canyon High School in the Grossmont Union High School District. A graduate of the U.S. Naval Academy, Mr Villar also holds an MA in education from SDSU.He began teaching in the Grossmont district in1995.
"We use the videos in addition to daily direct instruction. This allows students another means of learning or reviewing the content. It also allows students who miss class or are motivated to move ahead the opportunity to view a lecture, or a struggling student to view the material in advance of the classroom lecture."
Catherine Kuznitz
is an SDSU grad who teaches mathematics at Steele Canyon High School. She is
also an adjunct faculty member at Grossmont College where she teaches statistics.
Mike Johnson is a teacher on special assignment to the Information and Technology Services Division of the Grossmont Union High School District. Mike taught math before his current assignment. He is a graduate of SDSU with a masters degree in curriculum from the Dept. of Educational Technology at SDSU.
The video files were compressed for CD playback. Depending upon your connection speed, they may require a significant wait before play. Teachers wishing to post videos online should review guidelines on preparing instuctional video for the web or contact Mike Johnson at I&TS (619) 644-8252
www.guhsd.net Algebra 1 Algebra 2