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1 | Algebra I Pacing Guide | |||||||||||||||||||||||||
2 | Two-week summary of major instructional content and skills • 36 instructional weeks | |||||||||||||||||||||||||
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4 | Week(s) | Unit / Text | Major Content | Major Skills and Assessments | ||||||||||||||||||||||
5 | Weeks 1–2 | Expressions, Equations, and Functions | Expressions, Equations, and Functions: Variables and Expressions; Translate Verbal Expressions; Order of Operations Evaluating Expressions; Square Roots & Cube Roots; Real Numbers and the Number Line; Like Terms &Distributive Property; unit 1 review; unit 1 test | Expressions, Equations, and Functions: describe variables and use them in expressions; use order of operations to evaluate; solve problems involving square roots; evaluate real numbers; combine like terms. Assessment/review: unit 1 review, unit 1 test | ||||||||||||||||||||||
6 | Weeks 3–4 | Expressions, Equations, and Functions Solving Linear Equations | Expressions, Equations, and Functions: Variables and Expressions; Translate Verbal Expressions; Order of Operations Evaluating Expressions; Square Roots & Cube Roots; Real Numbers and the Number Line; Like Terms &Distributive Property; unit 1 review; unit 1 test Solving Linear Equations: Single Step Equations; Multi-Step Equations; Solving Equations with Variables on Both Sides; Solving Equations and Literal Formulas; solving proportions | Expressions, Equations, and Functions: describe variables and use them in expressions; use order of operations to evaluate; solve problems involving square roots; evaluate real numbers; combine like terms. Assessment/review: unit 1 review, unit 1 test Solving Linear Equations: solve equatons with 1 variable; solve multi step equations; equations with variables on both sides; apply formulas; solve problems involving proportions | ||||||||||||||||||||||
7 | Weeks 5–6 | Solving Linear Equations Solving Inequalities | Solving Linear Equations: Single Step Equations; Multi-Step Equations; Solving Equations with Variables on Both Sides; Solving Equations and Literal Formulas; solving proportions Solving Inequalities: Graphing Inequalities on a Number Line; Single-Step Inequalities; Multi-Step Inequalities; inequality word problems | Solving Linear Equations: solve equatons with 1 variable; solve multi step equations; equations with variables on both sides; apply formulas; solve problems involving proportions Solving Inequalities: graph inequalies on a number line | ||||||||||||||||||||||
8 | Weeks 7–8 | Solving Inequalities Linear Functions | Solving Inequalities: Graphing Inequalities on a Number Line; Single-Step Inequalities; Multi-Step Inequalities; inequality word problems Linear Functions: Find the slope from a graph; Finding the slope from two points; Graphing lines in sloope intercept form; Writing linear equations from context and comparing rates.; Graphing lines in standard form; Creating equations of lines; Calculating slopes of perpendicular and paralle lines; Writing and solving linear equations from context | Solving Inequalities: graph inequalies on a number line Linear Functions: calculate the slope of a line from a graph; calculate the slope between two points; graph lines in slope-intercept form; write equations from context and compare slope of functions; graph lines in standard form; create equations of lines; write equations with parallel and perpendicular slopes; write and solve equations from context | ||||||||||||||||||||||
9 | Weeks 9–10 | Linear Functions | Linear Functions: Find the slope from a graph; Finding the slope from two points; Graphing lines in sloope intercept form; Writing linear equations from context and comparing rates.; Graphing lines in standard form; Creating equations of lines; Calculating slopes of perpendicular and paralle lines; Writing and solving linear equations from context | Linear Functions: calculate the slope of a line from a graph; calculate the slope between two points; graph lines in slope-intercept form; write equations from context and compare slope of functions; graph lines in standard form; create equations of lines; write equations with parallel and perpendicular slopes; write and solve equations from context | ||||||||||||||||||||||
10 | Weeks 11–12 | Linear Functions Systems of Equations & Inequalities | Linear Functions: Find the slope from a graph; Finding the slope from two points; Graphing lines in sloope intercept form; Writing linear equations from context and comparing rates.; Graphing lines in standard form; Creating equations of lines; Calculating slopes of perpendicular and paralle lines; Writing and solving linear equations from context Systems of Equations & Inequalities: Solve systems by graphing; Solve systems using substitution; Solve systems using elimination; Solve systems from context; Graphing linear inequalities; Graphing systems of inequalities; Solve systems of linear inequalities from context | Linear Functions: calculate the slope of a line from a graph; calculate the slope between two points; graph lines in slope-intercept form; write equations from context and compare slope of functions; graph lines in standard form; create equations of lines; write equations with parallel and perpendicular slopes; write and solve equations from context Systems of Equations & Inequalities: solve systems by graphing; solve systems by substitution; solve systems by elimination; solve systems from context; graph inequality; solve systems of inequalities by graphing; solve systems of inequalities from context | ||||||||||||||||||||||
11 | Weeks 13–14 | Systems of Equations & Inequalities | Systems of Equations & Inequalities: Solve systems by graphing; Solve systems using substitution; Solve systems using elimination; Solve systems from context; Graphing linear inequalities; Graphing systems of inequalities; Solve systems of linear inequalities from context | Systems of Equations & Inequalities: solve systems by graphing; solve systems by substitution; solve systems by elimination; solve systems from context; graph inequality; solve systems of inequalities by graphing; solve systems of inequalities from context | ||||||||||||||||||||||
12 | Weeks 15–16 | Systems of Equations & Inequalities Exponents and Exponential Functions | Systems of Equations & Inequalities: Solve systems by graphing; Solve systems using substitution; Solve systems using elimination; Solve systems from context; Graphing linear inequalities; Graphing systems of inequalities; Solve systems of linear inequalities from context Exponents and Exponential Functions: Zero and Negative Exponents; Scientific Notation; multiplying powers with the same base; More Multiplication Properties of Exponents; Divisions Properties of Exponents; unit test | Systems of Equations & Inequalities: solve systems by graphing; solve systems by substitution; solve systems by elimination; solve systems from context; graph inequality; solve systems of inequalities by graphing; solve systems of inequalities from context Exponents and Exponential Functions: simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents. Assessment/review: unit test | ||||||||||||||||||||||
13 | Weeks 17–18 | Exponents and Exponential Functions | Exponents and Exponential Functions: Zero and Negative Exponents; Scientific Notation; multiplying powers with the same base; More Multiplication Properties of Exponents; Divisions Properties of Exponents; unit test | Exponents and Exponential Functions: simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents. Assessment/review: unit test | ||||||||||||||||||||||
14 | Weeks 19–20 | Exponents and Exponential Functions Exponents/Exponential | Exponents and Exponential Functions: Zero and Negative Exponents; Scientific Notation; multiplying powers with the same base; More Multiplication Properties of Exponents; Divisions Properties of Exponents; unit test Exponents/Exponential: Properties of Exponents; Properties of Negative and Rational Exponents; Intro to Exponential functions; Exponential real world problems; Graphing Exoponential Functions; Differentiate between linear and Exponential functions.; Arithmetic Sequence; Geometric Sequence | Exponents and Exponential Functions: simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents. Assessment/review: unit test Exponents/Exponential: the properties of exponents to simplify expressions; properties of negative and rational exponents to simplify expressions; the exponential function and what each part represents; how to solve exponential word problems; graph and identify key features of an exponential function; differentiate between linear and exponential functions from a table; write and solve arithmetic sequences; write and solve geometric sequences | ||||||||||||||||||||||
15 | Weeks 21–22 | Exponents/Exponential Polynomials | Exponents/Exponential: Properties of Exponents; Properties of Negative and Rational Exponents; Intro to Exponential functions; Exponential real world problems; Graphing Exoponential Functions; Differentiate between linear and Exponential functions.; Arithmetic Sequence; Geometric Sequence Polynomials: Polynomial terminology; Adding and subtracting polynomial; Multiplying polynomials; Dividing polynomials; Factoring out GCF; Factor by Grouping; Factoring trinomials when a=1; Factoring trinomials when a>1; Factor difference of squares | Exponents/Exponential: the properties of exponents to simplify expressions; properties of negative and rational exponents to simplify expressions; the exponential function and what each part represents; how to solve exponential word problems; graph and identify key features of an exponential function; differentiate between linear and exponential functions from a table; write and solve arithmetic sequences; write and solve geometric sequences Polynomials: write a polynomial in standard form and learning polynomial terminology; add and subtract polynomials to simplify expressions; multiply polynomials; divide polynomials; factor out the GCF; factor by grouping; factor trinomials when a=1; factor trinomials when a>1; factor difference of squares | ||||||||||||||||||||||
16 | Weeks 23–24 | Polynomials | Polynomials: Polynomial terminology; Adding and subtracting polynomial; Multiplying polynomials; Dividing polynomials; Factoring out GCF; Factor by Grouping; Factoring trinomials when a=1; Factoring trinomials when a>1; Factor difference of squares | Polynomials: write a polynomial in standard form and learning polynomial terminology; add and subtract polynomials to simplify expressions; multiply polynomials; divide polynomials; factor out the GCF; factor by grouping; factor trinomials when a=1; factor trinomials when a>1; factor difference of squares | ||||||||||||||||||||||
17 | Weeks 25–26 | Polynomials solving quadratics | Polynomials: Polynomial terminology; Adding and subtracting polynomial; Multiplying polynomials; Dividing polynomials; Factoring out GCF; Factor by Grouping; Factoring trinomials when a=1; Factoring trinomials when a>1; Factor difference of squares solving quadratics: Zero Product Property; Solving quadratics by factoring when equal to zero; Solving quadratics by factoring when not equal to zero; Solving quadratics by taking the square root; Completing the square; discriminant; quadratic formula; Test | Polynomials: write a polynomial in standard form and learning polynomial terminology; add and subtract polynomials to simplify expressions; multiply polynomials; divide polynomials; factor out the GCF; factor by grouping; factor trinomials when a=1; factor trinomials when a>1; factor difference of squares solving quadratics: use the zero product property to find zeros; solve quadratics by fatoring when the quadratic is eqal to zero; solve quadratics by fatoring when the quadratic is not eqal to zero; solve quadratics by taking the square root; solve quadratics by completing the square; how to find the discriminant of a quadratic and what it means; solve quadratics by using the quadratic formula. Assessment/review: Test | ||||||||||||||||||||||
18 | Weeks 27–28 | solving quadratics | solving quadratics: Zero Product Property; Solving quadratics by factoring when equal to zero; Solving quadratics by factoring when not equal to zero; Solving quadratics by taking the square root; Completing the square; discriminant; quadratic formula; Test | solving quadratics: use the zero product property to find zeros; solve quadratics by fatoring when the quadratic is eqal to zero; solve quadratics by fatoring when the quadratic is not eqal to zero; solve quadratics by taking the square root; solve quadratics by completing the square; how to find the discriminant of a quadratic and what it means; solve quadratics by using the quadratic formula. Assessment/review: Test | ||||||||||||||||||||||
19 | Weeks 29–30 | solving quadratics | solving quadratics: Zero Product Property; Solving quadratics by factoring when equal to zero; Solving quadratics by factoring when not equal to zero; Solving quadratics by taking the square root; Completing the square; discriminant; quadratic formula; Test | solving quadratics: use the zero product property to find zeros; solve quadratics by fatoring when the quadratic is eqal to zero; solve quadratics by fatoring when the quadratic is not eqal to zero; solve quadratics by taking the square root; solve quadratics by completing the square; how to find the discriminant of a quadratic and what it means; solve quadratics by using the quadratic formula. Assessment/review: Test | ||||||||||||||||||||||
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