Algebra I Learning Targets Chapter 1: Equations and Inequalities (one variable) Section Section Title Learning Target(s)


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1 Chapter 1: Equations and Inequalities (one variable) Section Learning Target(s) I can 1.2 Evaluate and Simplify Algebraic Expressions 1. Evaluate and simplify numeric and algebraic expressions (order of operations) Apply Properties of Real Numbers Solve Linear Equations 2. Classify real numbers and describe how the subsets of the real numbers are interrelated. (1.1) 3. Estimate square roots and graph real numbers on a number line. (1.1) 4. Identify and use properties of real numbers. (1.1) 5. Solve linear equations 6. Solve real world problems using linear equations 1.4 Rewrite Formulas and Equations 7. Rewrite and evaluate formulas and equations 1.5 Use Problem Solving Strategies and Models 8. Solve real world problems using formulas, patterns, diagrams, and equations days total Solve Linear Inequalities 9. Solve linear inequalities in one variable and apply to real world problems. 10. Solve compound linear inequalities and apply to real world problems. Section Chapter 2A: Linear Equations and Functions (2 variables) Learning Target(s) I can Represent Relations and Functions Find Slope and Rate of Change 1. Represent relations as ordered pairs, tables, graphs, and mappings, and identify their domains and ranges. 2. Use the definition of a function to justify whether a relation is a function, and apply the Vertical Line Test. 3. Graph equations in 2 variables (table). 4. Evaluate functions in function notation (equations and graphs). 5. Graph and classify discrete and continuous functions. 6. Calculate the slope of a line and determine whether two lines are parallel, perpendicular, or neither Graph Equations of Lines Write Equations of Lines (3 days) 7. Graph linear functions (using slope and yintercept, x and y intercepts). 8. Graph horizontal and vertical lines. 9. Write linear equations in pointslope form, slopeintercept form, and standard form (given slope & yintercept, slope & point, 2 points). 10. Write equations of parallel and perpendicular lines. 11. Model real world situations with linear equations.
2 2.6 test and review 12 days Draw Scatter Plots and Best Fitting Lines (3 days) 12. Describe correlation and estimate correlation coefficients. 13. Approximate a bestfitting line and use to make predictions (by hand and with GC). 14. Plot and analyze residuals to determine how well a linear model fits a set of data. Syllabus Chapter 2B: Linear Equation Applications and Functions Section Learning Targets: I can Solve Absolute Value Equations and Inequalities Use Absolute Value Functions and Transformations Graph Linear Inequalities in Two Variables 1. Solve absolute value equations and inequalities. 2. Solve real world problems using absolute value equations and inequalities. 3. Graph and write absolute value functions using transformations. 4. Graph the transformations of piecewise functions. 5. Determine if an ordered pair is a solution of a linear inequality. 6. Graph inequalities in two variables and apply to real world problems. test and review 7 days
3 Section Solve Linear Systems by Graphing Solve Linear Systems Algebraically Solve Systems of Linear Equations in Three Variables Graph Systems of Linear Inequalities Chapter 3A: Linear Systems Learning Target(s) I can 1. Solve a system of two linear equations graphically (no, infinitely many solutions). 2. Solve a system of two linear equations using substitution. 3. Solve a system of two linear equations using elimination. 4. Use systems of equations to solve real world problems. 5. Solve a system of two linear equations using a GC. 6. Solve a system of three linear equations using substitution and elimination (by hand, with GC). 7. Graph a system of inequalities (incl. absolute value). 8. Use systems of inequalities to solve real world problems. 3.3 ext Linear Programming 9. Use linear inequalities to represent and solve real world problems. test and review 12 days
4 Section 4.3, 5.3 Chapter 4A: Intro to Polynomials and Factoring (5.3, ) Learning Targets: I can Classify Polynomials and Operations on Polynomials 1. Define and classify polynomials (monomial, binomial, trinomial) and write them in standard form. (4.3) 2. Add and subtract polynomial functions. (5.3) 3. Multiply polynomial functions (distribute). (5.3) 5.3 Multiply Polynomials 4. Multiply polynomial functions (FOIL). (5.3) Special Product Patterns Factor by Greatest Common Factor Factor Trinomials (3 days) 5. Recognize and apply special product patterns (square of a binomial, sum & difference, cube of a binomial). (5.3) 6. Factor by finding a greatest common factor. ( ) 7. Factor trinomials. ( ) Factor with Special Patterns 8. Factor by using special factoring patterns (difference of squares, perfect square trinomial). ( ) Factor Completely 9. Factor quadratic expressions completely. ( ) test and review 16 days Simplify and Perform Operations on Square Root Expressions (3 days) Perform Operations with Complex Numbers 10. Simplify expressions containing square roots. (45) 11. Add & subtract expressions containing square roots. (4.5) 12. Multiply and divide (by rationalizing) expressions containing square roots. (4.5) 13. Define, use, and simplify imaginary and complex numbers (add, subtract, multiply, and rationalize denominators). (4.6)
5 Section Chapter 4B: Solve Quadratic Equations ( , 4.7, 4.8) Learning Targets: I can Solve Quadratic Equations by Factoring Solve Quadratic Equations by Finding Square Roots Complete the Square 1. Solve quadratic equations by factoring. ( ) 2. Solve quadratic equations by the square root method. (4.5) 3. Solve quadratic equations by completing the square. (4.7) quiz and review 5 days Use the Quadratic Formula and the Discriminant Use the Quadratic Formula and the Discriminant 4. Calculate the discriminant and determine the number and type of solutions for a quadratic equation. (4.8) 5. Derive the quadratic formula by completing the square. 6. Solve quadratic equations by the quadratic formula. (4.8) (2 days, including review of all) 7. Identify the pros and cons of each method of solving quadratic equations. test over all of 4B 6 days
6 Chapter 4C: Graph and Write Quadratic Functions ( , 4.10) Section Learning Targets: I can 4.1, 4.2, , Graph Quadratic Functions in Vertex Form Graph Quadratic Functions in Intercept Form Graph Quadratic Functions in Standard Form (1 review day) 1. Recognize the quadratic parent function from its graph, table, or equation and describe its domain, range, and symmetry. (4.1) 2. Graph a quadratic function in vertex form using 5 points and identify its vertex, axis of symmetry, yintercept, xintercept(s), and max/min. (4.2) 3. Write quadratic functions in vertex form given the vertex and a point. (4.10) 4. Graph a quadratic function in intercept form using 5 points and identify its vertex, axis of symmetry, yintercept, xintercept(s), and max/min. (4.2) 5. Write quadratic functions in intercept form given two intercepts and a point. (4.10) 6. Graph a quadratic function in standard form using 5 points and identify its vertex, axis of symmetry, yintercept, xintercept(s), and max/min. (4.1) 4.2 Rewrite Quadratic Functions 7. Rewrite a given quadratic function in a different form (standard, vertex, intercept). (4.2) Solve Quadratic Equations by Graphing 8. Describe the relationship among factors, xintercepts, solutions, roots, and zeros. 9. Solve quadratic equations by graphing, both with and without a GC and apply them to realworld problems test and review 13 days Write Quadratic Functions 10. Write quadratic functions in standard form given 3 points (GC). (4.10) 11. Find bestfitting models and make predictions from data (quadratic regression on GC). (4.10) test and review 6 days Graph Quadratic Inequalities Solve Quadratic Inequalities Solve Systems of Equations Chapter 4D: Quadratic Inequalities (4.9) 12. Graph quadratic inequalities and systems of quadratic inequalities on the coordinate plane. (4.9) 13. Solve quadratic inequalities using graphs and algebra (by hand and using GC). (4.9) 14. Solve systems of equations (linear and/or quadratic) by hand and using a GC.
7 Section Chapter 5A: Polynomial Basics Learning Targets: I can , TEST 5A Use Properties of Exponents Classify Polynomials and Factor by GCF Special Polynomial Factoring Patterns Factor by Grouping Factor Polynomials Completely Factor and Solve Polynomial Equations 1. Simplify expressions using the properties of exponents 1. Define and classify polynomials (by degree) and write them in standard form. 2. Factor a polynomial by finding the greatest common factor. (5.4) 3. Factor a polynomial by using special factoring patterns. (5.4) 4. Factor a polynomial by grouping. 5. Factor higher degree polynomials written in quadratic form. 6. Factor polynomials completely. 7. Solve polynomial equations by factoring. (5.4) , test and review 16 days Apply the Fundamental Theorem of Algebra Graph Polynomial Functions Analyze Graphs of Polynomial Functions Write Polynomial Functions and Models 8. Identify the multiplicity of roots. (5.7) 9. Write a polynomial equation of least degree with given roots. (5.7) 10. Describe the end behavior of a polynomial function. (5.2) 11. Determine the maximum number of zeros (FTA) and maximum number of turning points of a polynomial function. (5.8) 12. Sketch the graph of a polynomial function using its key characteristics (end behavior, xintercept(s), yintercept, multiplicity, additional points between real zeros). (5.8) 13. Use a GC to find the local maximum(s) and minimum(s), real zero(s), yintercept, and domain & range of a polynomial function. (5.8) 14. Use finite differences to determine the degree of a polynomial that will fit a given set of data. (5.9) 15. Find best fitting models and make predictions from data (regression on GC). (5.9)
8 Chapter 7: Exponential Functions Section Learning Targets: I can , 11.5 test and review 11 days Graph Exponential Growth and Decay Functions Exponential Growth and Decay Functions Use Functions Involving e Solve Exponential Functions (2 day) Write and Apply Exponential and Power Functions 1. Distinguish between situations that can be modeled with linear functions and with exponential functions and describe their respective rates of change. 2. Recognize and graph exponential functions with base a, identifying their key characteristics (domain, range, intercept, asymptote). 3. Graph exponential functions using parent function and transformations. 4. Distinguish between exponential growth and exponential decay. 5. Write and evaluate exponential functions to model realworld growth and decay situations. 6. Define e. 7. Graph natural base (e) functions using parent function and transformations. 8. Write and evaluate natural base (e) functions to model realworld situations. 11. Use the onetoone property to solve exponential equations 12. Use a GC to solve exponential equations 13. Use a GC to solve a system of equations (linear, absolute value, quadratic, polynomial, exponential). 14. Use regression to write a model for a set of data. 15. Make predications based on the model.
9 Chapter 6: Rational Exponents and Radical Functions Section Learning Targets: I can Evaluate nth Roots and Use Rational Exponents Apply Properties of Rational Exponents (3 days) Perform Function Operations and Composition 1. Evaluate expressions with nth roots and rational exponents 2. Solve equations using nth roots 3. Simplify expressions using properties of exponents and radicals 4. Add and subtract expressions with radicals 5. Perform operations on functions 6. Perform composition of functions 6.4 Use Inverse Functions 7. Find the inverse of a function 6.5 Graph Square Root and Cube Root Functions 8. Graph square root and cube root functions and their transformations 6.6 Solve Radical Equations 9. Solve equations with radicals and rational exponents (3 days) test and reviews throughout 14 days
10 Chapter 12: Sequences and Series Section Learning Targets: I can Define and Use Sequences and Series Analyze Arithmetic Sequences and Series Analyze Geometric Sequences and Series Find Sums of Infinite Geometric Series Use Recursive Rules with Sequences and Series 1. Write the terms in a sequence 2. Write the rule for a sequence 3. Calculate the sum of a series 4. Identify an arithmetic sequence 5. Write the rule for an arithmetic sequence 6. Calculate the sum of an arithmetic series 7. Identify a geometric sequence 8. Write the rule for a geometric sequence 9. Calculate the sum of a geometric series 10. Calculate the sum of an infinite geometric series 11. Write the terms in a sequence expressed recursively 12. Write recursive rules for sequences test and review 10 days Piecewise and Step Functions Chapter 11: Data Analysis and Statistics (Supplement) Section Learning Targets: I can Assignments 1 Day 5Number Summaries and Box Plots 1. Compute mode, median and quartiles of a data set. 2. Compute the interquartile range of a date set. 3. Determine if a data point is an outlier using the IQR. 4. Create a box plot using the 5number summary. 1) Practice Worksheet #1 2 Days Mean, Standard Deviation, Histograms 5. Compute the mean and standard deviation of a data set with and without the graphing calculator. 6. Construct a histogram and stem and leaf plot for a data set. 2) Practice Worksheet #2
11 1 Day 1 Day Shape, Center, and Spread Categorical Data:TwoWay Tables 7. Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). 8. Summarize categorical data for two categories in twoway frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data. 3) Practice Worksheet #3 4) Practice Worksheet #4 5) Summary Problem Setgraded for accuracy 2 Days REVIEW TEST 7 days
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