Algebra I Schedule MISSION FOUNDATIONS INTRODUCTION TO ALGEBRA. Order of operations with negative numbers. Combining like terms

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1 Algebra I Schedule Week 2 MISSION FOUNDATIONS Order of operations with negative numbers Combining like terms Exponents with integer bases Square roots of perfect squares Simplify fractions Ordering rational numbers Week 3 INTRODUCTION TO ALGEBRA Evaluating expressions with one variable Evaluating expressions with two variables Evaluating expressions with two variables: fractions & decimals Evaluating expressions with variables word problems Writing basic expressions with variables Writing expressions with variables Dependent & independent variables Combining like terms with negative coefficients Combining like terms with negative coefficients & distribution

2 Combining like terms with rational coefficients Equivalent expressions Interpreting linear expressions Week 4 ONE-VARIABLE LINEAR EQUATIONS Testing solutions to equations One-step addition & subtraction equations One-step addition & subtraction equations: fractions & decimals One-step multiplication & division equations One-step multiplication & division equations: fractions & decimals Two-step equations Two-step equations word problems Equations with variables on both sides Equations with variables on both sides: decimals & fractions Equations with parentheses Equations with parentheses: decimals & fractions Number of solutions to equations Number of solutions to equations challenge Sums of consecutive integers Linear equations with unknown coefficients

3 Week 5 ONE-VARIABLE LINEAR INEQUALITIES Testing solutions to inequalities Plotting inequalities Inequalities word problems One-step inequalities Two-step inequalities Two-step inequality word problems Multi-step linear inequalities Compound inequalities Week 6 and 7 UNITS OF MEASUREMENT IN MODELING Interpret units in formulas Multiple units word problems TWO-VARIABLE LINEAR EQUATIONS Solutions to 2-variable equations Complete solutions to 2-variable equations Intercepts from a graph Intercepts from a table Intercepts from an equation

4 Slope from graph Slope from two points Slope from slope-intercept equation Graph from slope-intercept form Slope-intercept equation from graph Slope-intercept equation from two points Point-slope form Graph from linear standard form Slope from linear standard form Slope-intercept & standard form Equation of a line: any form Week 8 FUNCTIONS Evaluate functions Evaluate functions from their graph Evaluate function expressions Match function inputs to outputs from a formula Match function inputs to outputs from a graph Function rules from equations Function notation interpretation word problems

5 Domain and range from graph Determine the domain of functions Function domain word problems Recognize functions from graphs Recognize functions from tables Evaluate piecewise functions from the formula Evaluate step functions from their graph Graphs of piecewise linear functions Domain and range of piecewise functions Recognize relative maxima and minima Recognize absolute maxima and minima Positive and negative intervals Increasing and decreasing intervals Graph interpretation word problems Finding average rate of change Average rate of change word problems Week 9 LINEAR EQUATIONS AND FUNCTIONS WORD PROBLEMS Linear equations word problems: tables

6 Linear equations word problems: graphs Linear equations word problems Compare linear functions Comparing linear functions word problem Graphing linear functions word problems Writing linear functions word problems Linear models word problems Week 10 SEQUENCES Evaluate sequences in recursive form Extend arithmetic sequences Use arithmetic sequence formulas Recursive formulas for arithmetic sequences Explicit formulas for arithmetic sequences Converting recursive & explicit forms of arithmetic sequences Extend geometric sequences Use geometric sequence formulas Explicit formulas for geometric sequences Recursive formulas for geometric sequences Converting recursive & explicit forms of geometric sequences

7 Sequences word problems Week 11 SYSTEMS OF LINEAR EQUATIONS Test 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 Number of solutions to a system of equations graphically Number of solutions to a system of equations algebraically Solve linear systems of equations Systems of equations word problems Age word problems Week 12 TWO-VARIABLE LINEAR INEQUALITIES Test solutions to inequalities Test solutions to inequalities: graphically Test solutions to systems of inequalities Constraint solutions of two-variable inequalities

8 Constraint solutions of systems of inequalities Graphs of two-variable inequalities Two-variable inequalities from their graphs Two-variable inequalities word problems Systems of inequalities word problems Week 13 ABSOLUTE VALUE EQUATIONS & FUNCTIONS Solve absolute value equations Graph absolute value functions EXPRESSIONS WITH RATIONAL EXPONENTS AND RADICALS Rational exponents: unit fractions Rational exponents Simplify square roots Simplify square-root expressions: no variables Simplify square-root expressions: no variables (advanced) Simplify rational exponent expressions Simplify radical expressions Simplify rational exponent expressions (advanced)

9 Week 14 INTRODUCTION TO EXPONENTIAL FUNCTIONS Write exponential functions Write exponential functions: tables & graphs Graph basic exponential functions Interpret basic exponential functions Interpret basic exponential functions: graphs & tables Linear vs. exponential growth Compare growth of exponentials & polynomials Week 15 INTRODUCTION TO POLYNOMIALS Add polynomials Subtract polynomials Add & subtract polynomials: two variables Multiply monomials Multiply monomials by polynomials Multiply binomials intro Multiply binomials Special products of binomials Special products of binomials (advanced) Multiply binomials by polynomials

10 Week 16 POLYNOMIAL FACTORIZATION Factors & divisibility Factor monomials Factor polynomials: common factor Factor quadratics: leading coefficient = 1 Factor quadratics: leading coefficient 1 Factor polynomials: quadratic methods Factor polynomials: quadratic methods (advanced) Factor differences of squares Factor special products (basic) Factor perfect squares Factor special products (advanced) Week 17 QUADRATIC EQUATIONS AND FUNCTIONS Solve quadratic equations by taking square roots Strategy in solving quadratic equations by taking square roots Solve quadratic equations by factoring: leading coefficient = 1 Solve quadratic equations by factoring: leading coefficient 1 Solve equations by factoring (advanced)

11 Rewrite quadratics as perfect squares Solve quadratic equations by completing the square: leading coefficient = 1 Solve quadratic equations by completing the square: leading coefficient 1 Solve quadratic equations with the quadratic formula Number of solutions of quadratic equations Forms & features of quadratic functions Find features of quadratic functions Compare quadratic functions Graph quadratics: vertex form Graph quadratics: factored form Graph quadratics: standard form Graph quadratics: all forms Interpret quadratic models Week 18 RATIONAL AND IRRATIONAL NUMBERS Classify numbers: rational & irrational Classify numbers Recognize rational & irrational expressions SEEING STRUCTURE IN EXPRESSIONS

12 Evaluate expressions using structure Evaluate expressions using structure (advanced) Manipulate expressions using structure Analyzing structure word problems