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Algebra 1 Essentials (Khan v.4.17.2017) STUDENT_____________________________________ Unit 1: Introduction to Algebra 1 2 3 4 5 6 7 8 9 10 11 12 9 10 11 12 13 14 15 Unit 2: One-Variable Linear Equations 1 2 3 4 5 6 7 8 Unit 3: One-Variable Linear Inequalities 1 2 3 4 5 6 7 8 Unit 4: Units of Measurement in Modeling 1 2 Unit 5: Two-Variable Linear Equations 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 5 6 7 8 9 10 11 12 13 14 15 16 Unit 6: Functions 1 2 3 4 17 18 Unit 7: Linear Equations and Functions Word Problems 1 2 3 4 5 6 7 8 Unit 9: Systems of Linear Equations 1 2 3 4 5 6 7 8 9 10 11 Unit 10: Two-Variable Linear Inequalities 1 2 3 4 5 6 7 8 Unit 13: Introduction to Exponential Functions 1 2 3 4 5 6 7 Unit 12: Expressions with Rational Exponents and Radicals 1 2 3 4 5 6 7 8 9 10 11 12 10 11 12 Unit 17: Rational and Irrational Numbers 1 2 Unit 8: Sequences (possibly) 1 2 3 4 5 6 7 8 9 box-and-whisker plots to compare data sets, https://www.khanacademy.org/math/probability/descriptivestatistics/box-and-whisker-plots/e/analyzing-data-with-box-plots how changes in a data set can affect the mean, median, and/or mode describing strong/weak and positive/negative correlations https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-interpreting-scatterplots/e/positive-and-negative-linear-correlations-from-scatter-plots Algebra 1 Essentials (Khan v.4.17.2017) STUDENT_____________________________________ 1: Introduction to Algebra Evaluating expressions with one variable Evaluating expressions with 2 variables Writing expressions with variables Dependent and independent variables Equivalent expressions Interpreting linear expressions Evaluating expressions with 2 variables: fractions and decimals Combining like terms with negative coefficients Evaluating expressions with variables word problems Writing basic expressions with variables Combining like terms with negative coefficients & distribution Combining like terms with rational coefficients 2: One-Variable Linear Equations Testing solutions of equations One step addition and subtraction equations Two step equations Two step equation word problems One step addition and subtraction equations: fractions and decimals Equations with variables on both sides Equations with parentheses: decimals and fractions Number of solutions to equations Number of solutions to equations challenge Testing solutions to inequalities Two step inequality word problems Plotting Inequalities Inequalities word problems Multi-step linear inequalities Compound inequalities One-step multiplication and division equations Equations with variables on both sides: decimals and fractions Sums of consecutive integers One-step multiplication and division equations: fractions and decimals Equations with parentheses Linear equations with unknown coefficients 3: One-Variable Linear Inequalities One-step inequalities Two-step inequalities 4. Units of Measurement in Modeling Interpret units in formulas Solve word problems with multiple units 5: Two Variable Linear Equations Solutions to 2-variable equations Slope from graph Complete solutions to twovariable equations Slope from two points Intercepts from a graph Intercepts from a table Intercepts from an equation Slope from slope-intercept equation Graph from slope-intercept form Slope-intercept equation from a graph Algebra 1 Essentials (Khan v.4.17.2017) Slope-intercept equation from two points Equation a line: any form STUDENT_____________________________________ Point-slope form Graph from linear standard form Slope from linear standard form Slope-intercept and standard form 6: Functions Evaluate functions Function notation word problems Recognize functions from tables Graph interpretation word problems Evaluate functions from their graph Domain and range from a graph Evaluate function expressions Function inputs & outputs: Equation Determine the Domain of Function Domain word functions problems Function inputs & outputs: graph Recognize functions from graphs relative maxima and minima absolute maxima and minima Increasing and decreasing intervals Average rate of change Average rate of change word problems Positive and negative intervals 7. Linear Equations and functions word problems Linear equations world problems: tables Graphing linear functions word problems Linear equations world problems: graphs Writing linear functions word problems Linear equations world problems: Linear models word problems Compare linear functions Comparing linear functions world problems 9: Systems of Linear Equations solutions to systems of equations Systems of equations with graphing Systems of equations with elimination Systems of equations with elimination challenge Equivalent systems of equations Systems of equations with substitution Manipulate expressions using structure Number of solutions to a system of equations algebraically linear systems of equations capstone Age word problems Systems of equations word problems 10. Two-Variable Linear Inequalities solutions to inequalities: algebraic Two-variable inequalities word problems solutions to inequalities: graphically Systems of inequalities word problems solutions to systems of inequalities Analyzing structure with their linear inequalities Graphs of inequalities Two variable inequalities from their graphs 13. Introduction to Exponential Functions Write exponential functions Write exponential functions: tables & graphs Graphs basic exponential functions Interpret basic exponential functions Interpret basic exponential functions: graphs and tables Algebra 1 Essentials (Khan v.4.17.2017) Linear vs. exponential growth STUDENT_____________________________________ Compare growth of exponentials and polynomials 12: Expressions with Rational Exponents and Radicals Multiply & Divide powers (integer exponents) Fractional exponents Square roots Cube roots Roots of decimals & fractions Unit-fraction exponents Rational exponents challenge Properties of exponents (rational exponents) Evaluate radical expressions: challenge Simplify square roots Simplify square root expressions: variables Simplify square root expressions: 17: Rational and Irrational Numbers Classify numbers: rational & irrational Recognize rational & irrational expressions 8: Sequences Extend arithmetic sequences Use arithmetic sequence formulas Recursive formulas for arithmetic sequences Explicit formulas for arithmetic sequences Extend geometric sequences Use geometric sequences formulas Explicit formulas for geometric sequences Recursive formulas for geometric sequences Sequences word problems Evaluate sequences in recursive form Converting recursive & explicit forms of arithmetic sequences Converting recursive & explicit forms of geometric sequences