Integrated Mathematics I

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Integrated Mathematics I

Integrated Mathematics I builds students' command of geometric knowledge and linear 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 relationships between quantities; linear and exponential relationships; reasoning with equations; descriptive statistics; congruence, proof, and constructions; and connecting algebra and geometry through coordinates.

This course supports all students as they develop computational fluency and deepen conceptual understanding. Students begin each lesson by discovering new concepts through guided instruction, and then confirm their understanding in an interactive, feedback-rich environment. Modeling activities equip students with tools for analyzing a variety of real-world scenarios and mathematical ideas. Journaling activities allow students to reason abstractly and quantitatively, construct arguments, critique reasoning, and communicate precisely. Performance tasks prepare students to synthesize their knowledge in novel, real-world scenarios and require that they make sense of multifaceted problems and persevere in solving them.

This course is built to state standards.

Length: Two semesters

UNIT 1: SOLVING EQUATIONS AND INEQUALITIES

LESSON 1: ALGEBRAIC PROPERT IES AND EXPRESSIONS Study: Algebraic Properties and Expres s ions Translate verbal descriptions to mathematical expressions, write expressions to model real-world situations, and evaluate expressions using algebraic properties.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : Algebraic Properties and Expres s ions Take a quiz to check your understanding of what you have learned.

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Journal: Algebraic Properties and Expres s ions Construct arguments and critique the reasoning of others as you write about topics in algebra.

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LESSON 2: SOLVING LINEAR EQUAT IONS Study: Solving Linear Equations Review how to isolate the variable and solve simple equations with addition, subtraction, multiplication and division.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : Solving Linear Equations Take a quiz to check your understanding of what you have learned.

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Integrated Mathematics I Copyright ? 2019 Apex Learning Inc. Apex Learning? and the Apex Learning logo are registered trademarks of Apex Learning Inc.

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Practice: Modeling: Solving Linear Equations Model and solve a real-world problem.

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LESSON 3: SOLVING MULT IST EP LINEAR EQUAT IONS Study: Solving Multis tep 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.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : Solving Multis tep Linear Equations Take a quiz to check your understanding of what you have learned.

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Practice: Modeling: Multis tep Linear Equations Model and solve a real-world problem.

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LESSON 4 : SOLVING LINEAR INEQUALIT IES Study: Solving Linear Inequalities Solve multistep inequalities, including those that involve collecting like terms.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : Solving Linear Inequalities Take a quiz to check your understanding of what you have learned.

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LESSON 5: LIT ERAL EQUAT IONS Study: Literal Equations Learn how to solve literal equations, including formulas, for a particular variable.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : Literal Equations Take a quiz to check your understanding of what you have learned.

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LESSON 6: MEASUREMENT AND UNIT S Study: Meas urement and Units Explore the ideas of precision and accuracy in measurement. Solve problems involving a single unit conversion and those requiring multiple conversions.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : Meas urement and Units

Integrated Mathematics I Copyright ? 2019 Apex Learning Inc. Apex Learning? and the Apex Learning logo are registered trademarks of Apex Learning Inc.

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Take a quiz to check your understanding of what you have learned.

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Journal: Meas urement and Units Construct arguments and critique the reasoning of others as you write about topics in algebra.

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LESSON 7: PERFORMANCE T ASK: PROBLEM SOLVING WIT H INEQUALIT IES Study: Problem Solving with Inequalities Learn strategies for solving a variety of application problems related to topics in this unit.

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Project: Perf ormance T as k: A T rade Show Booth Use your knowledge, skills, and resources to make sense of and persevere in solving a real-world problem.

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LESSON 8: SOLVING EQUAT IONS AND INEQUALIT IES WRAP-UP Review: Solving Equations and Inequalities Practice Problems Check your understanding of the topics in this unit.

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Dis cus s : In Your Own Words Join a three- to five-question discussion to practice methods learned in this unit.

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T es t (CS): Solving Equations and Inequalities Take a computer-scored test to check what you have learned in this unit.

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T es t (T S): Solving Equations and Inequalities Take a teacher-scored test to check what you have learned in this unit.

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UNIT 2: FUNCTIONS

LESSON 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.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : Domain and Range Take a quiz to check your understanding of what you have learned.

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Journal: Domain and Range Construct arguments and critique the reasoning of others as you write about topics in algebra.

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LESSON 2: IDENT IFYING FUNCT IONS Study: Identif ying 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.

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Integrated Mathematics I Copyright ? 2019 Apex Learning Inc. Apex Learning? and the Apex Learning logo are registered trademarks of Apex Learning Inc.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : Identif ying Functions Take a quiz to check your understanding of what you have learned.

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LESSON 3: GRAPHS OF FUNCT IONS 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.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : Graphs of Functions Take a quiz to check your understanding of what you have learned.

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Practice: Modeling: Graphs of Functions Model and solve a real-world problem.

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LESSON 4 : ADDING AND SUBT RACT ING FUNCT IONS Study: Adding and Subtracting Functions Learn how to add and subtract functions.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : Adding and Subtracting Functions Take a quiz to check your understanding of what you have learned.

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LESSON 5: FUNCT IONS WRAP-UP Review: Functions Practice Problems Check your understanding of the topics in this unit.

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Dis cus s : Relating to Functions Join a three- to five-question discussion to practice methods learned in this unit.

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T es t (CS): Functions Take a computer-scored test to check what you have learned in this unit.

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T es t (T S): Functions Take a teacher-scored test to check what you have learned in this unit.

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UNIT 3: LINEAR EQUATIONS

LESSON 1: SLOPE

Integrated Mathematics I Copyright ? 2019 Apex Learning Inc. Apex Learning? and the Apex Learning logo are registered trademarks of Apex Learning Inc.

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Study: Slope Learn how to find the slope of a line, define rise and run, and measure rates of change.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : Slope Take a quiz to check your understanding of what you have learned.

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Journal: Slope Construct arguments and critique the reasoning of others as you write about topics in algebra.

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LESSON 2: SLOPE-INT ERCEPT EQUAT ION 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.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : Slope-Intercept Equation of a Line Take a quiz to check your understanding of what you have learned.

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Practice: Modeling: Slope-Intercept Equation of a Line Model and solve a real-world problem.

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LESSON 3: GRAPHING AND MANIPULAT ING Y = MX + B Study: Graphing and Manipulating y = mx + b Practice graphing and manipulating linear equations in the form y = mx + b.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : Graphing and Manipulating y = mx + b Take a quiz to check your understanding of what you have learned.

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LESSON 4 : POINT -SLOPE EQUAT ION 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 slopeintercept form.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : Point-Slope Equation of a Line Take a quiz to check your understanding of what you have learned.

Integrated Mathematics I Copyright ? 2019 Apex Learning Inc. Apex Learning? and the Apex Learning logo are registered trademarks of Apex Learning Inc.

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LESSON 5: 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.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : Parallel and Perpendicular Lines Take a quiz to check your understanding of what you have learned.

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LESSON 6: LINEAR INEQUALIT IES Study: Linear Inequalities Learn how to graph the half-planes that represent solutions for linear inequalities.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : Linear Inequalities Take a quiz to check your understanding of what you have learned.

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LESSON 7: LINEAR EQUAT IONS WRAP-UP Review: Linear Equations Practice Problems Check your understanding of the topics in this unit.

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Dis cus s : A Slippery Slope Join a three- to five-question discussion to practice methods learned in this unit.

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T es t (CS): Linear Equations Take a computer-scored test to check what you have learned in this unit.

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T es t (T S): Linear Equations Take a teacher-scored test to check what you have learned in this unit.

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UNIT 4: SYSTEMS OF LINEAR EQUATIONS

LESSON 1: T WO-VARIABLE SYST EMS: GRAPHING Study: T wo-Variable Sys tems : 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.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : T wo-Variable Sys tems : Graphing

Integrated Mathematics I Copyright ? 2019 Apex Learning Inc. Apex Learning? and the Apex Learning logo are registered trademarks of Apex Learning Inc.

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Take a quiz to check your understanding of what you have learned.

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LESSON 2: T WO-VARIABLE SYST EMS: SUBST IT UT ION Study: T wo-Variable Sys tems : Subs titution Use substitution to solve two-variable systems of linear equations.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : T wo-Variable Sys tems : Subs titution Take a quiz to check your understanding of what you have learned.

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LESSON 3: T WO-VARIABLE SYST EMS: ELIMINAT ION Study: T wo-Variable Sys tems : Elimination Use elimination to solve two-variable systems of linear equations.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : T wo-Variable Sys tems : Elimination Take a quiz to check your understanding of what you have learned.

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Journal: T wo-Variable Sys tems : Elimination Construct arguments and critique the reasoning of others as you write about topics in algebra.

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LESSON 4 : T WO-VARIABLE SYST EMS OF INEQUALIT IES Study: T wo-Variable Sys tems 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.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : T wo-Variable Sys tems of Inequalities Take a quiz to check your understanding of what you have learned.

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Practice: Modeling: T wo-Variable Sys tems of Inequalities Model and solve a real-world problem.

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LESSON 5: SYST EMS OF LINEAR EQUAT IONS WRAP-UP Review: Sys tems of Linear Equations Practice Problems Check your understanding of the topics in this unit.

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Dis cus s : What's the Solution? Join a three- to five-question discussion to practice methods learned in this unit.

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Integrated Mathematics I Copyright ? 2019 Apex Learning Inc. Apex Learning? and the Apex Learning logo are registered trademarks of Apex Learning Inc.

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T es t (CS): Sys tems of Linear Equations Take a computer-scored test to check what you have learned in this unit.

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T es t (T S): Sys tems of Linear Equations Take a teacher-scored test to check what you have learned in this unit.

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UNIT 5: EXPONENTS AND EXPONENTIAL FUNCTIONS

LESSON 1: EXPONENT S Study: Exponents Evaluate exponential expressions. Use properties to rewrite exponential expressions, including those with rational exponents, and to rewrite radicals using fractional exponents.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : Exponents Take a quiz to check your understanding of what you have learned.

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LESSON 2: EXPONENT IAL FUNCT IONS 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.

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : Exponential Functions Take a quiz to check your understanding of what you have learned.

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Practice: Modeling: Exponential Functions Model and solve a real-world problem.

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LESSON 3: GRAPHS OF EXPONENT IAL FUNCT IONS 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-value s .

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Checkup: Practice Problems Check your understanding of the lesson.

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Quiz : Graphs of Exponential Functions Take a quiz to check your understanding of what you have learned.

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Journal: Graphs of Exponential Functions Construct arguments and critique the reasoning of others as you write about topics in algebra.

Integrated Mathematics I Copyright ? 2019 Apex Learning Inc. Apex Learning? and the Apex Learning logo are registered trademarks of Apex Learning Inc.

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