Kolodziejski, Scott
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Pre-Algebra Resources
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- Chapter 1: Real Numbers
- Chapter 2: Equations in One Variable
- Chapter 3: Equations in Two Variables
- Chapter 4: Functions
- Chapter 5: The Pythagorean Theorem
- Chapter 6: Transformations
- Chapter 8: Volume of Solids
- Chapter 9: Data Analysis
- Chapter 5: Triangles
- Chapter 7: Congruence and Similarity
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Algebra 1B Resources
- Khan Academy - Algebra 1
- Chapters 1-3,6: Equations and Inequalities
- Chapter 4: Graphing Linear Equations
- Chapter 5: Writing Linear Equations
- Chapter 7: Systems of Equations
- Chapter 8/10: Monomials and Polynomials
- Chapter 10: Factoring Polynomials
- Chapter 11: Rational Expressions
- Chapter 12/9: Radicals
- Chapter 1/2/6: Statistics
- Chapter 9: Quadratic Functions
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Unit 1 – Connections to AlgebraAdding and Subtracting Integers:Adding and subtracting integers practice:Multiplying and dividing integers:Multiplying and dividing integers practice:Distributive property:1. (addition) http://www.khanacademy.org/video/the-distributive-property?playlist=Developmental+Math2. (subtraction) http://www.khanacademy.org/video/the-distributive-property-2?playlist=Developmental+MathUnit 2 – Linear Equations and Inequalities in One VariableSolving EquationsOne Step Tutorial:Two Step Tutorial:Multi-Step Tutorial (variables on both sides):Multi-step worked out example (no extra practice afterward): http://www.khanacademy.org/video/solving-equations-2?playlist=Algebra+I+Worked+ExamplesEquations with the distributive property worked out example (no extra practice afterward):http://www.khanacademy.org/video/solving-equations-with-the-distributive-property?playlist=Algebra+I+Worked+ExamplesEquation with distributive property worked out example (with fractions):http://www.khanacademy.org/video/solving-equations-with-the-distributive-property-2?playlist=Algebra+I+Worked+ExamplesWord problem worked out solution:Solving InequalitiesOne Step/Two Step (with switching the inequality direction): http://www.khanacademy.org/video/algebra--solving-inequalities?playlist=AlgebraInequality worked out word problem: http://www.khanacademy.org/video/inequalities?playlist=Algebra+I+Worked+ExamplesPractice on one step inequalities:Practice on one-step inequalities (with sign direction switch): http://www.khanacademy.org/video/one-step-inequalities-2?playlist=Developmental+MathMulti-Step inequalities (variables on both sides):Multi-Step inequalities (variables on both sides with distributive property):http://www.khanacademy.org/video/multi-step-inequalities-2?playlist=Developmental+MathCompound Inequalities (or example):Compound Inequality (and example):Compound Inequality practice:Compound Inequality practice 2:Absolute Value EquationsExample 1:Example 2:Example 3 (no solution):Absolute Value InequalitiesExample 1:Example 2:Example 3:Unit 3 – Graphing Linear Equations and Inequalities in Two VariablesFunctionsWhat is a function:http://www.khanacademy.org/video/introduction-to-functions?playlist=Algebra. Ignore the last example f(g(x))Is the function a relation? Vertical Line Test. Domain and Range:http://www.khanacademy.org/video/introduction-to-functions?playlist=AlgebraCoordinate PlaneQuadrants:GraphingUsing a Table (practice this concept in the upper right corner): http://www.khanacademy.org/video/algebra--graphing-lines-1?playlist=AlgebraUsing Intercepts (worked out example):Using Intercepts (2) (worked out example):Converting Equations into slope-intercept (function) form: http://www.khanacademy.org/video/converting-to-slope-intercept-form?playlist=Algebra+I+Worked+ExamplesUsing Slope-Intercept Form:Unit 4 – Writing Linear EquationsConverting to slope-intercept form:Writing equations in slope intercept form (all scenarios – given slope and point; given 2 points, etc.):Writing equations in slope intercept form practice:Writing equations in point slope form:Writing equations in point slope form practice:Writing equations in standard form:Writing equations in standard form practice:Writing equations of parallel and perpendicular lines:Parallel and perpendicular lines practice:Line of best fit:Applications of Linear Models:Unit 5 – Systems of EquationsSolving systems by graphingSolving systems by substitution:Solving systems by combinations:Special types of linear systems:Solving systems practice:Systems of linear inequalities:Unit 6 – Statistics and Data AnalysisMeasures of Central Tendency:Stem and Leaf plots:Stem and Leaf practice:Histograms:Box and Whisker plots:Probability IntrProbability of independent events:Probability of dependent events:Unit 7 – Exponents and PolynomialsExponent basics:Zero and negative exponents:Simplifying expressions with exponents (with zero and negative exponents):Scientific Notation:Adding and subtracting polynomialsAdding and subtracting polynomials practice:Multiplying polynomials (FOIL)Multiplying polynomials word problem:Multiplying polynomials word problem with distributive property:Multiplying polynomials practiceUnit 8 – FactoringCommon Monomial (and factoring after):Factor by Grouping (trinomials and polynomials):Special products:Solving quadratics by factoring:3. (Geometry example) http://www.khanacademy.org/video/solving-quadratic-equations-by-factoring-3-avi?playlist=Algebra+I+Worked+ExamplesUnit 9 – Rational ExpressionsRatios (intro)Ratios practice:Proportions:3. (word problem) http://www.khanacademy.org/video/find-an-unknown-in-a-proportion-2?playlist=Developmental+MathBasic Percents:Percents:Simplifying Rational Expressions:1. (word problem) http://www.khanacademy.org/video/simplifying-rational-expressions-1?playlist=Algebra%20I%20Worked%20ExamplesMultiplying and dividing rational expressions:Adding and subtracting rational expressions:1. (word problem) http://www.khanacademy.org/video/adding-and-subtracting-rational-expressions-1?playlist=Algebra+I+Worked+ExamplesUnit 10 – RadicalsSimplifying radicals:Simplifying radicals practice:Simplifying radical expressions:Multiply and simplify radicals:Adding radicals:Subtracting radicals:Simplifying radicals practice:Solving radical equations:Solving radical equations practice:Pythagorean Theorem1. (word problem) http://www.khanacademy.org/video/pythagorean-theorem-1?playlist=Algebra%20I%20Worked%20Examples