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Algebra I builds students’ command of linear, quadratic, and exponential relationships. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations.
Course topics include problem-solving with basic equations and formulas; an introduction to functions and problem solving; linear equations and systems of linear equations; exponents and exponential functions; sequences and functions; descriptive statistics; polynomials and factoring; quadratic equations and functions; and function transformations and inverses.
This course supports students as they develop computational fluency, deepen conceptual understanding, and apply mathematical knowledge. Students discover new concepts through guided instruction and confirm their understanding in an interactive, feedback-rich environment.
A variety of activities allow for students to think mathematically in a variety of scenarios and tasks. In Discussions, students exchange and explain their mathematical ideas. Modeling activities ask them to analyze real-world scenarios and mathematical concepts. Journaling activities have students reason abstractly and quantitatively, construct arguments, critique reasoning, and communicate precisely. And in Performance Tasks, students synthesize their knowledge in novel, real-world scenarios, make sense of multifaceted problems, and persevere in solving them.
This course is built to state standards. Throughout the course, students are evaluated by a variety of assessments designed to prepare them for the content, form, and depth of state exams.
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1Lesson 1: Rational and Irrational Numbers
- Study - Rational and Irrational Numbers: Learn about different types of real numbers, including rational and irrational numbers. Investigate sums and products of rational and irrational numbers.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Rational and Irrational Numbers: Take a quiz to assess your understanding of what you have learned.
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2Lesson 2: Algebraic Properties and Expressions
- Study - Algebraic Properties and Expressions: Translate verbal descriptions to mathematical expressions, write expressions to model real-world situations, and evaluate expressions using algebraic properties.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Algebraic Properties and Expressions: Take a quiz to check your understanding of what you have learned.
- Journal - Algebraic Properties and Expressions: Construct arguments and critique the reasoning of others as you write about topics in algebra.
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3Lesson 3: Solving Linear Equations
- Study - Solving Linear Equations: Review how to isolate the variable and solve simple equations with addition, subtraction, multiplication and division.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Solving Linear Equations: Take a quiz to check your understanding of what you have learned.
- Practice - Modeling: Solving Linear Equations: Model and solve a real-world problem.
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4Lesson 4: Foundations of Algebra Wrap-Up
- Review - Foundations of Algebra Practice Problems: Check your understanding of the topics in this unit.
- Discuss - Using X to Mark the Spot: Join a three- to five-question discussion to practice methods learned in this unit.
- Test (CS) - Foundations of Algebra: Take a computer-scored test to check what you have learned in this unit.
- Test (TS) - Foundations of Algebra: Take a teacher-scored test to check what you have learned in this unit.
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5Lesson 1: Solving Multistep Linear Equations
- Study - Solving Multistep Linear Equations: Solve multistep equations, including equations that have no solutions, one solution, or an infinite number of solutions. Write and solve equations that model real-world situations.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Solving Multistep Linear Equations: Take a quiz to check your understanding of what you have learned.
- Practice - Modeling: Multistep Linear Equations: Model and solve a real-world problem.
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6Lesson 2: Solving Linear Inequalities
- Study - Solving Linear Inequalities: Solve multistep inequalities, including those that involve collecting like terms.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Solving Linear Inequalities: Take a quiz to check your understanding of what you have learned.
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7Lesson 3: Literal Equations
- Study - Literal Equations: Learn how to solve literal equations, including formulas, for a particular variable.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Literal Equations: Take a quiz to check your understanding of what you have learned.
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8Lesson 4: Measurement and Units
- Study - Measurement and Units: Explore the ideas of precision and accuracy in measurement. Solve problems involving a single unit conversion and those requiring multiple conversions.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Measurement and Units: Take a quiz to check your understanding of what you have learned.
- Journal - Measurement and Units: Construct arguments and critique the reasoning of others as you write about topics in algebra.
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9Lesson 5: Performance Task: Problem Solving with Inequalities
- Study - Problem Solving with Inequalities: Learn strategies for solving a variety of application problems related to topics in this unit.
- Project - Performance Task: A Trade Show Booth: Use your knowledge, skills, and resources to make sense of and persevere in solving a real-world problem.
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10Lesson 6: Solving Equations and Inequalities Wrap-Up
- Review - Solving Equations and Inequalities Practice Problems: Check your understanding of the topics in this unit.
- Discuss - In Your Own Words: Join a three- to five-question discussion to practice methods learned in this unit.
- Test (CS) - Solving Equations and Inequalities: Take a computer-scored test to check what you have learned in this unit.
- Test (TS) - Solving Equations and Inequalities: Take a teacher-scored test to check what you have learned in this unit.
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11Lesson 1: Domain and Range
- Study - Domain and Range: Understand the meanings of the domain and range of a function. Use function notation and evaluate a function for a given value in its domain.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Domain and Range: Take a quiz to check your understanding of what you have learned.
- Journal - Domain and Range: Construct arguments and critique the reasoning of others as you write about topics in algebra.
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12Lesson 2: Identifying Functions
- Study - Identifying Functions: Determine whether relations represented by graphs or tables of values are functions. Identify the domain and range of a function from an input-output table.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Identifying Functions: Take a quiz to check your understanding of what you have learned.
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13Lesson 3: Graphs of Functions
- Study - Graphs of Functions: Determine the domain and range of a function from its graph. Identify sections where a graph is increasing, decreasing, or remaining constant.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Graphs of Functions: Take a quiz to check your understanding of what you have learned.
- Practice - Modeling: Graphs of Functions: Model and solve a real-world problem.
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14Lesson 4: Adding and Subtracting Functions
- Study - Adding and Subtracting Functions: Learn how to add and subtract functions.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Adding and Subtracting Functions: Take a quiz to check your understanding of what you have learned.
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15Lesson 5: Functions Wrap-Up
- Review - Functions Practice Problems: Check your understanding of the topics in this unit.
- Discuss - Relating to Functions: Join a three- to five-question discussion to practice methods learned in this unit.
- Test (CS) - Functions: Take a computer-scored test to check what you have learned in this unit.
- Test (TS) - Functions: Take a teacher-scored test to check what you have learned in this unit.
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16Lesson 1: Slope
- Study - Slope: Learn how to find the slope of a line, define rise and run, and measure rates of change.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Slope: Take a quiz to check your understanding of what you have learned.
- Journal - Slope: Construct arguments and critique the reasoning of others as you write about topics in algebra.
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17Lesson 2: Slope-Intercept Equation of a Line
- Study - Slope-Intercept Equation of a Line: Learn to use the slope and y-intercept of a line to write its slope-intercept equation. Understand the meaning of the slope and y-intercept in slope-intercept equations that model real-world situations.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Slope-Intercept Equation of a Line: Take a quiz to check your understanding of what you have learned.
- Practice - Modeling: Slope-Intercept Equation of a Line: Model and solve a real-world problem.
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18Lesson 3: Point-Slope Equation of a Line
- Study - Point-Slope Equation of a Line: Write point-slope equations for lines given a point and the slope or two points. Rewrite point-slope equations in slope intercept form.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Point-Slope Equation of a Line: Take a quiz to check your understanding of what you have learned.
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19Lesson 4: Parallel and Perpendicular Lines
- Study - Parallel and Perpendicular Lines: Learn about parallel and perpendicular lines and the relationships between their slopes. Write equations for lines perpendicular and parallel to given lines.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Parallel and Perpendicular Lines: Take a quiz to check your understanding of what you have learned.
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20Lesson 5: Linear Inequalities
- Study - Linear Inequalities: Learn how to graph the half-planes that represent solutions for linear inequalities.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Linear Inequalities: Take a quiz to check your understanding of what you have learned.
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21Lesson 6: Linear Equations Wrap-Up
- Review - Linear Equations Practice Problems: Check your understanding of the topics in this unit.
- Discuss - A Slippery Slope: Join a three- to five-question discussion to practice methods learned in this unit.
- Test (CS) - Linear Equations: Take a computer-scored test to check what you have learned in this unit.
- Test (TS) - Linear Equations: Take a teacher-scored test to check what you have learned in this unit.
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22Lesson 1: Two-Variable Systems: Graphing
- Study - Two-Variable Systems: Graphing: Use graphing to solve two-variable systems of linear equations. Explore what it means for a linear system to have no solution, one solution, or an infinite number of solutions.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Two-Variable Systems: Graphing: Take a quiz to check your understanding of what you have learned.
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23Lesson 2: Two-Variable Systems: Substitution
- Study - Two-Variable Systems: Substitution: Use substitution to solve two-variable systems of linear equations.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Two-Variable Systems: Substitution: Take a quiz to check your understanding of what you have learned.
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24Lesson 3: Two-Variable Systems: Elimination
- Study - Two-Variable Systems: Elimination: Use elimination to solve two-variable systems of linear equations.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Two-Variable Systems: Elimination: Take a quiz to check your understanding of what you have learned.
- Journal - Two-Variable Systems: Elimination: Construct arguments and critique the reasoning of others as you write about topics in algebra.
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25Lesson 4: Two-Variable Systems of Inequalities
- Study - Two-Variable Systems of Inequalities: Use graphing to solve two-variable systems of linear inequalities. Use what you know about solving systems of inequalities to solve a real-world problem where there are constraints (limitations) that restrict your options.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Two-Variable Systems of Inequalities: Take a quiz to check your understanding of what you have learned.
- Practice - Modeling: Two-Variable Systems of Inequalities: Model and solve a real-world problem.
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26Lesson 5: Systems of Linear Equations Wrap-Up
- Review - Systems of Linear Equations Practice Problems: Check your understanding of the topics in this unit.
- Discuss - What's the Solution? Join a three- to five-question discussion to practice methods learned in this unit.
- Test (CS) - Systems of Linear Equations: Take a computer-scored test to check what you have learned in this unit.
- Test (TS) - Systems of Linear Equations: Take a teacher-scored test to check what you have learned in this unit.
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27Lesson 1: Exponents
- Study - Exponents: Evaluate exponential expressions. Use properties to rewrite exponential expressions, including those with rational exponents, and to rewrite radicals using fractional exponents.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Exponents: Take a quiz to check your understanding of what you have learned.
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28Lesson 2: Exponential Functions
- Study - Exponential Functions: Define an exponential function and explore applications of exponential functions, such as exponential growth and decay. Interpret the parts of an exponential expression that represents a real-world context.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Exponential Functions: Take a quiz to check your understanding of what you have learned.
- Practice - Modeling: Exponential Functions: Model and solve a real-world problem.
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29Lesson 3: Graphs of Exponential Functions
- Study - Graphs of Exponential Functions: Learn about graphs of exponential functions with different bases. Identify the domain, range and y-intercept of an exponential function from its equation and from its graph. Use graphs to evaluate exponential functions for given x-values.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Graphs of Exponential Functions: Take a quiz to check your understanding of what you have learned.
- Journal - Graphs of Exponential Functions: Construct arguments and critique the reasoning of others as you write about topics in algebra.
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30Lesson 4: Exponents and Exponential Functions Wrap-Up
- Review - Exponents and Exponential Functions Practice Problems: Check your understanding of the topics in this unit.
- Discuss - Exponential Potential: Join a three- to five-question discussion to practice methods learned in this unit.
- Test (CS) - Exponents and Exponential Functions: Take a computer-scored test to check what you have learned in this unit.
- Test (TS) - Exponents and Exponential Functions: Take a teacher-scored test to check what you have learned in this unit.
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31Lesson 1: Arithmetic Sequences
- Study - Arithmetic Sequences: Learn about arithmetic sequences, explicit and recursive formulas, and finding the next term in a sequence.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Arithmetic Sequences: Take a quiz to check your understanding of what you have learned.
- Journal - Arithmetic Sequences: Construct arguments and critique the reasoning of others as you write about topics in algebra.
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32Lesson 2: Geometric Sequences
- Study - Geometric Sequences: Explore geometric sequences as sets of numbers in which the ratio between any two consecutive numbers is a constant. Compare how the recursive formula and the explicit formula allow you to find the value of any term in a geometric sequence.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Geometric Sequences: Take a quiz to check your understanding of what you have learned.
- Practice - Modeling: Geometric Sequences: Model and solve a real-world problem.
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33Lesson 3: Understanding Number Sequences
- Study - Understanding Number Sequences: Learn about applications and models of arithmetic, geometric, and special sequences.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Understanding Number Sequences: Take a quiz to check your understanding of what you have learned.
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34Lesson 4: Exponential and Linear Growth
- Study - Exponential and Linear Growth: Learn about the connections between linear and exponential functions and arithmetic and geometric sequences.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Exponential and Linear Growth: Take a quiz to check your understanding of what you have learned.
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35Lesson 5: Sequences and Functions Wrap-Up
- Review - Sequences and Functions Practice Problems: Check your understanding of the topics in this unit.
- Discuss - What's the Difference? Join a three- to five-question discussion to practice methods learned in this unit.
- Test (CS) - Sequences and Functions: Take a computer-scored test to check what you have learned in this unit.
- Test (TS) - Sequences and Functions: Take a teacher-scored test to check what you have learned in this unit.
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37Lesson 1: What Is a Polynomial?
- Study - What Is a Polynomial? Learn the definitions for monomials, polynomials, constants, terms, coefficients, binomials, trinomials, and degree. Learn how to find the degree of polynomials.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - What Is a Polynomial? Take a quiz to check your understanding of what you have learned.
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38Lesson 2: Adding and Subtracting Polynomials
- Study - Adding and Subtracting Polynomials: Learn how to add and subtract polynomials by collecting like terms. Practice adding and subtracting polynomials both vertically and horizontally.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Adding and Subtracting Polynomials: Take a quiz to check your understanding of what you have learned.
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39Lesson 3: Multiplying Binomials
- Study - Multiplying Binomials: Learn how to multiply binomials using the distributive property. Use the FOIL mnemonic to help you multiply binomials.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Multiplying Binomials: Take a quiz to check your understanding of what you have learned.
- Practice - Modeling: Multiplying Binomials: Model and solve a real-world problem.
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40Lesson 4: Multiplying Polynomials
- Study - Multiplying Polynomials: Extend the use of the distributive property to multiply polynomials with more than two terms. Use a table to organize the multiplication of polynomials. Practice multiplying polynomials horizontally and vertically.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Multiplying Polynomials: Take a quiz to check your understanding of what you have learned.
- Journal - Multiplying Polynomials: Construct arguments and critique the reasoning of others as you write about topics in algebra.
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41Lesson 5: Polynomials Wrap-Up
- Review - Polynomials Practice Problems: Check your understanding of the topics in this unit.
- Discuss - FOILed Again: Join a three- to five-question discussion to practice methods learned in this unit.
- Test (CS) - Polynomials: Take a computer-scored test to check what you have learned in this unit.
- Test (TS) - Polynomials: Take a teacher-scored test to check what you have learned in this unit.
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42Lesson 1: GCF and Factoring by Grouping
- Study - GCF and Factoring by Grouping: Explore the similarities between factoring numbers and polynomials. Learn how to identify the greatest common factor (GCF) of the terms of a polynomial, and how to use grouping to factor polynomials.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - GCF and Factoring by Grouping: Take a quiz to check your understanding of what you have learned.
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43Lesson 2: Factoring X2 + BX + C
- Study - Factoring x2 + bx + c : Learn the definition of a quadratic trinomial. Learn how to factor quadratic trinomials when the coefficient of the x squared term is 1.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Factoring x2 + bx + c : Take a quiz to check your understanding of what you have learned.
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44Lesson 3: Factoring AX2 + BX + C
- Study - Factoring ax2 + bx + c : Learn how to factor quadratic trinomials with leading coefficients other than 1.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Factoring ax2 + bx + c : Take a quiz to check your understanding of what you have learned.
- Practice - Modeling: Factoring ax2 + bx + c : Model and solve a real-world problem.
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45Lesson 4: Special Cases
- Study - Special Cases: Learn how to work with special cases of factoring. Learn definitions for a perfect square trinomial and a difference of two squares. Practice using strategies that will help you factor each of these special cases.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Special Cases: Take a quiz to check your understanding of what you have learned.
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46Lesson 5: Factoring and Graphing
- Study - Factoring and Graphing: Compare x-intercepts, zeros, roots, and linear factors. Identify the roots of a polynomial. Use the intercepts of the graph of a function to identify the roots and factors of a related equation and vice versa. Understand that a quadratic function may have 0, 1, or 2 real zeros.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Factoring and Graphing: Take a quiz to check your understanding of what you have learned.
- Journal - Factoring and Graphing: Construct arguments and critique the reasoning of others as you write about topics in algebra.
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47Lesson 6: Factoring Polynomials Wrap-Up
- Review - Factoring Polynomials Practice Problems: Check your understanding of the topics in this unit.
- Discuss - Just the Factors: Join a three- to five-question discussion to practice methods learned in this unit.
- Test (CS) - Factoring Polynomials: Take a computer-scored test to check what you have learned in this unit.
- Test (TS) - Factoring Polynomials: Take a teacher-scored test to check what you have learned in this unit.
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48Lesson 1: Solving Quadratic Equations
- Study - Solving Quadratic Equations: Learn to solve quadratics in the form x2 = b by taking square roots. Use the zero product property to solve quadratic equations by factoring. Learn about standard form and rewrite quadratic equations in that form.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Solving Quadratic Equations: Take a quiz to check your understanding of what you have learned.
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49Lesson 2: Completing the Square
- Study - Completing the Square: Learn the definition for a special case of factoring called completing the square. Explore the steps to complete a square and practice solving quadratic equations by using this way of factoring.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Completing the Square: Take a quiz to check your understanding of what you have learned.
- Journal - Completing the Square: Construct arguments and critique the reasoning of others as you write about topics in algebra.
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50Lesson 3: The Quadratic Formula
- Study - The Quadratic Formula: Learn the derivation of the quadratic formula and see how it can be used to solve quadratic equations. Understand that the discriminant can be used to determine whether a quadratic equation has 0, 1, or 2 real solutions.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - The Quadratic Formula: Take a quiz to check your understanding of what you have learned.
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51Lesson 4: Graphs of Quadratic Functions
- Study - Graphs of Quadratic Functions: Relate factors of a quadratic function to the graph of a parabola and its corresponding x-intercepts. Locate the vertex of a quadratic function graphically and algebraically. Understand vertex form and use it to identify the vertex of a quadratic function.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Graphs of Quadratic Functions: Take a quiz to check your understanding of what you have learned.
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52Lesson 5: Nonlinear Systems of Equations
- Study - Nonlinear Systems of Equations: Learn about solution sets for nonlinear systems of equations. Practice solving nonlinear systems of equations by graphing and by using the substitution method. Explore a human-cannonball case study.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Nonlinear Systems of Equations: Take a quiz to check your understanding of what you have learned.
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53Lesson 6: Linear, Quadratic, and Exponential Functions
- Study - Linear, Quadratic, and Exponential Functions: Identify and compare linear, quadratic, and exponential functions and write functions that model real-world situations.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Linear, Quadratic, and Exponential Functions: Take a quiz to check your understanding of what you have learned.
- Practice - Modeling: Linear, Quadratic, and Exponential Functions: Model and solve a real-world problem.
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54Lesson 7: Performance Task: Pricing for Profit
- Study - The Headphones Problem: Use what you have learned about graphing polynomials to solve a real-world business problem.
- Project - Your Dog-Walking Business: Use your knowledge, skills, and resources to make sense of and persevere in solving a real-world problem.
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55Lesson 8: Quadratic Equations and Functions Wrap-Up
- Review - Quadratic Equations and Functions Practice Problems: Check your understanding of the topics in this unit.
- Discuss - All Squared Away: Join a three- to five-question discussion to practice methods learned in this unit.
- Test (CS) - Quadratic Equations and Functions: Take a computer-scored test to check what you have learned in this unit.
- Test (TS) - Quadratic Equations and Functions: Take a teacher-scored test to check what you have learned in this unit.
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56Lesson 1: Inverses
- Study - Inverses: Learn about undoing functions, mapping diagrams of inverse functions, and finding the equations for inverse functions.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Inverses: Take a quiz to check your understanding of what you have learned.
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57Lesson 2: Parent Functions
- Study - Parent Functions: Learn about the properties and graphs of linear parent functions, quadratic parent functions, absolute value parent functions, and step functions.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Parent Functions: Take a quiz to check your understanding of what you have learned.
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58Lesson 3: Shifting Functions
- Study - Shifting Functions: Learn about shifting graphs of functions up/down and left/right by changing the coordinates of each ordered pair. Learn about changing the equation of a function to shift its graph vertically or horizontally and about combining vertical and horizontal shifts.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Shifting Functions: Take a quiz to check your understanding of what you have learned.
- Journal - Shifting Functions: Construct arguments and critique the reasoning of others as you write about topics in algebra.
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59Lesson 4: Stretching and Compressing Functions
- Study - Stretching and Compressing Functions: Learn about stretching or compressing a function's graph by multiplying by a constant, flipping the graph by multiplying by a negative constant, and combining stretches with shifts.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Stretching and Compressing Functions: Take a quiz to check your understanding of what you have learned.
- Practice - Modeling: Stretching and Compressing Functions: Model and solve a real-world problem.
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60Lesson 5: Transformations of Parent Functions
- Study - Transformations of Parent Functions: Learn how to perform vertical and horizontal shifts, stretches, and compressions, and any combination of these transformations, on parent functions.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Transformations of Parent Functions: Take a quiz to check your understanding of what you have learned.
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61Lesson 6: Undoing Functions and Moving Them Around Wrap-Up
- Review - Undoing Functions and Moving Them Around Practice Problems: Check your understanding of the topics in this unit.
- Discuss - Transformation Station: Join a three- to five-question discussion to practice methods learned in this unit.
- Test (CS) - Undoing Functions and Moving Them Around: Take a computer-scored test to check what you have learned in this unit.
- Test (TS) - Undoing Functions and Moving Them Around: Take a teacher-scored test to check what you have learned in this unit.
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62Lesson 1: Measures of Center and Spread
- Study - Measures of Center and Spread: Learn how to compute the mean and median of a data set and the effects of outliers on these measures of center. See how to use a calculator to find the standard deviation of a data set, and understand how the standard deviation and the range measure the spread of a data set.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Measures of Center and Spread: Take a quiz to assess your understanding of the material.
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63Lesson 2: Dot Plots, Box Plots, and Histograms
- Study - Dot Plots, Box Plots, and Histograms: Learn how to construct and interpret stem-and-leaf plots, histograms, and dot plots along with comparative stem-and leaf and dot plots.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Dot Plots, Box Plots, and Histograms: Take a quiz to assess your understanding of the material.
- Practice - Modeling: Dot Plots, Box Plots, and Histograms: Model and solve a real-world problem.
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64Lesson 3: Describing Distributions
- Study - Describing Distributions: Learn how to describe distributions using measures of center, shape, and spread for single and comparative data sets.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Describing Distributions: Take a quiz to assess your understanding of the material.
- Journal - Describing Distributions: Construct arguments and critique the reasoning of others as you write about topics in algebra.
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65Lesson 4: Two-Way Frequency Tables
- Study - Two-Way Frequency Tables: Learn how to build and use two-way frequency tables and two-way relative frequency tables. Understand how to find and use joint frequencies and marginal frequencies, and how to calculate conditional relative probabilities from a two way table. Use two-way tables to recognize associations in data.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Two-Way Frequency Tables: Take a quiz to assess your understanding of the material.
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66Lesson 5: Descriptive Statistics Wrap-Up
- Review - Descriptive Statistics Practice Problems: Check your understanding of the topics in this unit.
- Discuss - Not All Plots Are Suspicious: Join a three- to five-question discussion to practice methods learned in this unit.
- Test (CS) - Descriptive Statistics: Take a computer-scored test to check what you have learned in this unit.
- Test (TS) - Descriptive Statistics: Take a teacher-scored test to check what you have learned in this unit.
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67Lesson 1: Two-Variable Data and Scatterplots
- Study - Two-Variable Data and Scatterplots: Create scatterplots for bivariate data and recognize positive and negative correlations. Use a calculator to find correlation coefficients, and understand what the result says about the strength of the correlation. Know that correlation does not imply causation.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Two-Variable Data and Scatterplots: Take a quiz to assess your understanding of the material.
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68Lesson 2: Fitting Linear Models to Data
- Study - Fitting Linear Models to Data: Find equations for best-fit lines (regression equations) by estimation and by using a calculator. Use regression equations to make predictions. Find residuals and residual plots and understand how they indicate whether or not a linear model is appropriate.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Fitting Linear Models to Data: Take a quiz to assess your understanding of the material.
- Practice - Modeling: Fitting Linear Models to Data: Model and solve a real-world problem.
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69Lesson 3: Nonlinear Models
- Study - Nonlinear Models: Learn how to apply nonlinear regression.
- Checkup - Practice Problems: Check your understanding of the lesson.
- Quiz - Nonlinear Models: Take a quiz to assess your understanding of the material.
- Journal - Nonlinear Models: Construct arguments and critique the reasoning of others as you write about topics in algebra.
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70Lesson 4: Data and Mathematical Modeling Wrap-Up
- Review - Data and Mathematical Modeling Practice Problems: Check your understanding of the topics in this unit.
- Discuss - The Latest Model: Join a three- to five-question discussion to practice methods learned in this unit.
- Test (CS) - Data and Mathematical Modeling: Take a computer-scored test to check what you have learned in this unit.
- Test (TS) - Data and Mathematical Modeling: Take a teacher-scored test to check what you have learned in this unit.
You can use Parchment to order transcripts for multiple institutions at once (including the NCAA). You will automatically receive an unofficial copy for your personal records, and you can track your official transcript. Each Parchment electronic (emailed) transcript costs $5.40, and hard copies sent by mail cost $7.90.