north carolina math i (2016) · lesson 7: solving multistep linear equations study: solving...

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Core North Carolina Math I (2016) Math I builds students' command of linear, quadratic, geometric, and exponential relationships, as well as statistics and modeling. 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; measurement; 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; coordinate geometry; and three-dimensional solids. This course supports all students as they develop computational fluency, deepen conceptual understanding, and apply Common Core's eight mathematical practice skills. 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. Throughout the course, students are evaluated through a diversity of assessments specifically designed to prepare them for the content, form, and depth of the Common Core assessments. This course is built to the Common Core State Standards for Mathematics. Length: Two semesters UNIT 1: SOLVING BASIC EQUATIONS LESSON 1: VARIABLES AND PROBLEM SOLVING Study: Variables and Problem Solving Review what a variable is, and how to form and use variable expressions to solve problems. Duration: 0 hrs 35 mins Scoring: 0 points Checkup: Practice Problems Complete a set of practice problems to hone your calculation skills. Duration: 0 hrs 25 mins Scoring: 0 points Quiz: Variable Expressions Take a quiz to check your understanding of what you have learned. Duration: 0 hrs 20 mins Scoring: 20 points Quiz: Mathematical Sentences Take a quiz to check your understanding of what you have learned. Duration: 0 hrs 20 mins Scoring: 20 points LESSON 2: SOLVING MAT HEMAT ICAL SENT ENCES Study: Solving Mathematical Sentences Use the guess-and-check method to solve equations. Define a solution set and compare solution sets of equations and inequalities . Duration: 0 hrs 35 mins Scoring: 0 points Checkup: Practice Problems Check your understanding of the lesson. Duration: 0 hrs 25 mins Scoring: 0 points Copyright © 2019 Apex Learning Inc. Apex Learning ® and the Apex Learning logo are registered trademarks of Apex Learning Inc. 1 of 25 North Carolina Math I (2016)

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Page 1: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

CoreNorth Carolina Math I (2016)

Math I builds students' command of linear, quadratic, geometric, and exponential relationships, as well as statistics andmodeling. Students learn through discovery and application, developing the skills they need to break down complexchallenges and demonstrate their knowledge in new situations.

Course topics include problem solving with basic equations and formulas; measurement; an introduction to functions andproblem solving; linear equations and systems of linear equations; exponents and exponential functions; sequences andfunctions; descriptive statistics; polynomials and factoring; quadratic equations and functions; coordinate geometry; andthree-dimensional solids.

This course supports all students as they develop computational fluency, deepen conceptual understanding, and applyCommon Core's eight mathematical practice skills. Students begin each lesson by discovering new concepts throughguided instruction, and then confirm their understanding in an interactive, feedback-rich environment. Modeling activitiesequip students with tools for analyzing a variety of real-world scenarios and mathematical ideas. Journaling activities allowstudents 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 theymake sense of multifaceted problems and persevere in solving them. Throughout the course, students are evaluatedthrough a diversity of assessments specifically designed to prepare them for the content, form, and depth of the CommonCore assessments.

This course is built to the Common Core State Standards for Mathematics.

Length: Two semesters

UNIT 1: SOLVING BASIC EQUATIONS

LESSON 1: VARIABLES AND PROBLEM SOLVING

Study: Variables and Problem SolvingReview what a variable is, and how to form and use variable expressions to solve problems.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsComplete a set of practice problems to hone your calculation skills.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Variable ExpressionsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Mathematical SentencesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: SOLVING MAT HEMAT ICAL SENT ENCES

Study: Solving Mathematical SentencesUse the guess-and-check method to solve equations. Define a solution set and compare solution sets of equations andinequalities.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Copyright © 2019 Apex Learning Inc. Apex Learning® and the Apex Learning logo are registered trademarks of Apex Learning Inc. 1 of 25North Carolina Math I (2016)

Page 2: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

Quiz: Solving Mathematical SentencesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: SOME GUIDELINES FOR PROBLEM-SOLVING

Study: Some Guidelines for Problem-SolvingUse problem-solving tips to solve a word problem. Develop a general strategy for solving word problems.Duration: 0 hrs 35 mins Scoring: 0 points

Quiz: Some Guidelines for Problem-SolvingTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: SOLVING WIT H ADDIT ION AND SUBT RACT ION

Study: Solving with Addition and SubtractionReview how to isolate the variable and solve simple equations and inequalities with addition or subtraction.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Solving Equations with Addition and SubtractionTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Solving Inequalities with Addition and SubtractionTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 5: SOLVING EQUAT IONS WIT H MULT IPLICAT ION AND DIVISION

Study: Solving Equations with Multiplication and Divis ionReview how to isolate the variable and solve simple equations with multiplication or division.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Solving Equations with MultiplicationTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Solving Equations with Divis ionTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 6: SOLVING INEQUALIT IES WIT H MULT IPLICAT ION AND DIVISION

Study: Solving Inequalities with Multiplication and Divis ionReview how to isolate the variable and solve simple inequalities with multiplication or division.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Solving Inequalities with Multiplication and Divis ionTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Copyright © 2019 Apex Learning Inc. Apex Learning® and the Apex Learning logo are registered trademarks of Apex Learning Inc. 2 of 25North Carolina Math I (2016)

Page 3: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

LESSON 7: SOLVING MULT IST EP LINEAR EQUAT IONS

Study: Solving Multistep Linear EquationsReview the strategy for isolating variables in multistep equations. Explore equations that have zero, one, or infinitesolutions.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Basic Collecting of Like T ermsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Advanced Collecting of Like T ermsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Finding Number of Solution SetsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Practice: Modeling: Multistep Linear EquationsUse tools to model and solve a real-world problem.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 8: SOLVING LIT ERAL EQUAT IONS AND FORMULAS

Study: Solving Literal Equations and FormulasLearn how to solve literal equations for one variable.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Solving Literal Equations and FormulasTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: Solving Literal Equations and FormulasConstruct arguments and critique the reasoning of others as you write about topics in algebra.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 9: PERFORMANCE T ASK: PROBLEM SOLVING WIT H EQUAT IONS

Study: Problem Solving with EquationsLearn strategies for solving a variety of application problems related to topics in this unit.Duration: 0 hrs 35 mins

Project: Performance T ask: A T rade Show BoothUse your knowledge, skills, and resources to make sense of and persevere in solving a real-world problem.Duration: 2 hrs Scoring: 120 points

LESSON 10: SOLVING BASIC EQUAT IONS WRAP-UP

Checkup: Solving Basic Equations Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: Solving Basic EquationsGet ready for the unit test by reviewing important ideas and skills.

Copyright © 2019 Apex Learning Inc. Apex Learning® and the Apex Learning logo are registered trademarks of Apex Learning Inc. 3 of 25North Carolina Math I (2016)

Page 4: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

Duration: 0 hrs 30 mins Scoring: 0 points

T est (CS): Solving Basic EquationsTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 38 points

T est (T S): Solving Basic EquationsTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 39 points

UNIT 2: FUNCTIONS

LESSON 1: WHEN ONE T HING DEPENDS ON ANOT HER

Study: When One T hing Depends on AnotherLearn the definition of a function and explore examples of functions in the world around you.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: When One T hing Depends on AnotherTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: FUNCT ION NOT AT ION

Study: Function NotationUse variables to name functions, and learn about a special type of language called function notation.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: T ranslating to Function NotationTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Function Notation for Specif ic AmountsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Naming FunctionsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: INPUT -OUT PUT MACHINES

Study: Input-Output MachinesLearn how to describe functions by their domain and range. Work with input-output diagrams.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Using FunctionsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: DOMAIN AND RANGE

Copyright © 2019 Apex Learning Inc. Apex Learning® and the Apex Learning logo are registered trademarks of Apex Learning Inc. 4 of 25North Carolina Math I (2016)

Page 5: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

Study: Domain and RangeLearn about mapping diagrams, locating domain and range on mapping diagram and estimating the domain and rangeof functions.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Domain and RangeTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: Domain and RangeConstruct arguments and critique the reasoning of others as you write about topics in algebra.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 5: FUNCT IONS AND T ABLES

Study: Functions and T ablesLearn to use input-output tables to describe and define functions.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Functions and T ablesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 6: FUNCT IONS AND GRAPHS

Study: Functions and GraphsLearn to identify the domain and range of a function from ordered pairs and the graph of a function. Use the vertical linetest to evaluate functions.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Graphs, Domain, and RangeTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Functions and RelationsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 7: LINEAR AND NONLINEAR FUNCT IONS

Study: Linear and Nonlinear FunctionsLearn about linear and nonlinear functions.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Linear and Nonlinear FunctionsTake a quiz to check your understanding of what you have learned.

Copyright © 2019 Apex Learning Inc. Apex Learning® and the Apex Learning logo are registered trademarks of Apex Learning Inc. 5 of 25North Carolina Math I (2016)

Page 6: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 8: ARIT HMET IC OF FUNCT IONS

Study: Arithmetic of FunctionsLearn how to add, subtract, multiply, divide, and compose functions.Duration: 0 hrs 35 mins

Checkup: Lessons LearnedComplete a set of practice problems on the arithmetic of functions.Duration: 0 hrs 25 mins

Quiz: Arithmetic of FunctionsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 12 points

LESSON 9: FUNCT IONS WRAP-UP

Checkup: Functions Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: FunctionsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

T est (CS): FunctionsTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 36 points

T est (T S): FunctionsTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 41 points

UNIT 3: LINEAR EQUATIONS

LESSON 1: PAT T ERNS AND LINES

Study: Patterns and LinesLearn about a type of relationship in functions called direct variation. Explore the connection between the equation of aline and points on its graph. Find the equation of a line by looking at the coordinates of its points. Graph a line using achart of its solutions.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Finding Equations of Lines as SolutionsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: SLOPE

Study: SlopeLearn how to find the slope of a line, define rise and run, and measure rates of change.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Finding Slopes of Lines

Copyright © 2019 Apex Learning Inc. Apex Learning® and the Apex Learning logo are registered trademarks of Apex Learning Inc. 6 of 25North Carolina Math I (2016)

Page 7: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

Take a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Positive, Negative, and Undefined SlopesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: SlopeConstruct arguments and critique the reasoning of others as you write about topics in algebra.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 3: SLOPE-INT ERCEPT EQUAT ION OF A LINE

Study: Slope-Intercept Equation of a LineLearn to use slope and the y-intercept of a given line to find its slope-intercept equation.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Finding Slope-Intercept Equations of LinesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Practice: Modeling: Slope-Intercept Equation of a LineUse tools to model and solve a real-world problem.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 4: GRAPHING AND MANIPULAT ING Y = MX + B

Study: Graphing and Manipulating y = mx + bPractice graphing and manipulating linear equations in the form y = mx + b.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Graphing and Manipulating y = mx + bTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 5: POINT -SLOPE EQUAT ION OF A LINE

Study: Point-Slope Equation of a LineLearn how to find the y-intercept of a line when given its slope and another point on the line. Learn about the point-slope equation of a line and the standard form of an equation.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Finding the Point-Slope EquationTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Finding the Equations of LinesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Copyright © 2019 Apex Learning Inc. Apex Learning® and the Apex Learning logo are registered trademarks of Apex Learning Inc. 7 of 25North Carolina Math I (2016)

Page 8: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

LESSON 6: PARALLEL AND PERPENDICULAR LINES

Study: Parallel and Perpendicular LinesLearn about parallel and perpendicular lines and the relationships between their slopes.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Slopes of Parallel and Perpendicular LinesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 7: LINEAR INEQUALIT IES

Study: Linear InequalitiesLearn how to find and graph solution sets for linear inequalities.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Graphs of InequalitiesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Study: Solving the Lighting ProblemLearn how to use linear inequalities to solve a real-world problem about the best use of energy to light a building.Duration: 0 hrs 35 mins Scoring: 0 points

LESSON 8: T WO-VARIABLE DAT A

Study: T wo-Variable DataInvestigate two-variable data sets through concepts such as explanatory and response variables, scatterplot correlation,least squares regression, and residuals.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsComplete a set of practice problems to check your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Scatterplots and CorrelationTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Least Squares RegressionTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Study: Least Squares Regression LinesInvestigate two-variable data concepts such as scatterplots, least squares regression lines, best-fit lines, and residuals.Duration: 0 hrs 35 mins Scoring: 0 points

Study: Reading the HeadlinesTake a closer look at news headlines for claims of correlation and causation.Duration: 0 hrs 35 mins Scoring: 0 points

LESSON 9: LINEAR EQUAT IONS WRAP-UP

Checkup: Linear Equations Practice ProblemsCheck your understanding of the topics in this unit.

Copyright © 2019 Apex Learning Inc. Apex Learning® and the Apex Learning logo are registered trademarks of Apex Learning Inc. 8 of 25North Carolina Math I (2016)

Page 9: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

Duration: 0 hrs 25 mins Scoring: 0 points

Review: Linear EquationsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

T est (CS): Linear EquationsTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 60 points

T est (T S): Linear EquationsTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 65 points

UNIT 4: SYSTEMS OF LINEAR EQUATIONS

LESSON 1: T WO-VARIABLE SYST EMS: GRAPHING

Study: T wo-Variable Systems: GraphingLearn how to use graphing to solve two-variable systems of linear equations. Explore what it means to have zero, one,or infinite solutions.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Solving with GraphingTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: T WO-VARIABLE SYST EMS: SUBST IT UT ION

Study: T wo-Variable Systems: SubstitutionLearn how to use substitution to solve two-variable systems of linear equations.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Solving with SubstitutionTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: T WO-VARIABLE SYST EMS: ELIMINAT ION

Study: T wo-Variable Systems: EliminationLearn how to use elimination to solve two-variable systems of linear equations.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Solving with Elimination -- Standard FormTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Solving with Elimination -- Nonstandard FormTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Copyright © 2019 Apex Learning Inc. Apex Learning® and the Apex Learning logo are registered trademarks of Apex Learning Inc. 9 of 25North Carolina Math I (2016)

Page 10: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

Journal: T wo-Variable Systems: EliminationConstruct arguments and critique the reasoning of others as you write about topics in algebra.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 4: T WO-VARIABLE SYST EMS OF INEQUALIT IES

Study: T wo-Variable Systems of InequalitiesLearn how to use graphing to solve two-variable systems of linear inequalities. Use what you know about solvingsystems of inequalities to solve a real-world farming problem.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Solving Systems of InequalitiesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Solving Systems with More T han T wo InequalitiesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Practice: Modeling: Solving Systems with More T han T wo InequalitiesUse tools to model and solve a real-world problem.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 5: SYST EMS OF LINEAR EQUAT IONS WRAP-UP

Checkup: Systems of Linear Equations Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: Systems of Linear EquationsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

T est (CS): Systems of Linear EquationsTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 30 points

T est (T S): Systems of Linear EquationsTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 5: RATIONAL EXPONENTS AND POLYNOMIALS

LESSON 1: EXPONENT S

Study: ExponentsReview exponents and their place in the order of operations. Learn ways to evaluate exponential expressions. Learnabout fractional and decimal exponents, radical notation, square roots, and scientific notation.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Exponential ExpressionsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Copyright © 2019 Apex Learning Inc. Apex Learning® and the Apex Learning logo are registered trademarks of Apex Learning Inc. 10 of 25North Carolina Math I (2016)

Page 11: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

Quiz: Operations with RadicalsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: WHAT IS A POLYNOMIAL?

Study: What Is a Polynomial?Learn the definitions for monomials, polynomials, constants, terms, coefficients, binomials, trinomials, and degree. Learnhow to find the degree of polynomials.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Degrees of PolynomialsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Degrees of Polynomials (Advanced)Take a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: ADDING AND SUBT RACT ING POLYNOMIALS

Study: Adding and Subtracting PolynomialsLearn how tiles can be used to add or subtract like terms in polynomials. Practice adding and subtracting polynomials.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Polynomial Addition with T ilesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Polynomial AdditionTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Polynomial SubtractionTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: MULT IPLYING BINOMIALS

Study: Multiplying BinomialsLearn how tiles can be used to multiply linear binomials. Practice using the distributive property and the FOIL methodto multiply two binomials.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Finding Products of BinomialsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Finding the Product of T wo BinomialsTake a quiz to check your understanding of what you have learned.

Copyright © 2019 Apex Learning Inc. Apex Learning® and the Apex Learning logo are registered trademarks of Apex Learning Inc. 11 of 25North Carolina Math I (2016)

Page 12: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: T he FOIL MethodTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Practice: Modeling: Multiplying BinomialsUse tools to model and solve a real-world problem.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 5: MULT IPLYING POLYNOMIALS

Study: Multiplying PolynomialsUse a table to begin learning how to multiply polynomials. Explore how polynomials can be multiplied vertically andhorizontally.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Polynomial MultiplicationTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Polynomial Multiplication (Advanced)Take a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: Multiplying PolynomialsConstruct arguments and critique the reasoning of others as you write about topics in algebra.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 6: RAT IONAL EXPONENT S AND POLYNOMIALS WRAP-UP

Checkup: Rational Exponents and Polynomials Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: Rational Exponents and PolynomialsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 20 mins Scoring: 0 points

T est (CS): Rational Exponents and PolynomialsTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 62 points

T est (T S): Rational Exponents and PolynomialsTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 40 points

UNIT 6: FACTORING OF POLYNOMIALS

LESSON 1: WHY FACT OR?

Study: Why Factor?Explore the similarities between factoring numbers and polynomials. Learn the definitions for reducible polynomials,composite numbers, and the zero-product rule.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.

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Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Factoring PolynomialsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: FACT ORING WIT H T ILES

Study: Factoring with T ilesReview how to use tiles to find the factors of a polynomial.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Factoring Polynomials with T ilesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Practice: Modeling: Factoring with T ilesUse tools to model and solve a real-world problem.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 3: FACT ORING AND GRAPHING

Study: Factoring and GraphingCompare roots and linear factors. Identify the roots of a polynomial. Explore what it means for a polynomial to have oneroot or no roots.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Factoring by GraphingTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Factoring by Graphing (Advanced)Take a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: GROUPING

Study: GroupingFind the greatest common factor (GCF) in a polynomial. Use the grouping method to factor one or more GCFs out of apolynomial.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Factoring by GroupingTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Finding GCFs of PolynomialsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

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Page 14: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

LESSON 5: FACT ORING X2 + BX + C

Study: Factoring x2 + bx + cLearn the definitions for quadratic trinomials and leading coefficients. Learn how to factor quadratic trinomials withleading coefficients of 1.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Binomial Factors of T rinomialsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Factoring T rinomialsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 6: FACT ORING AX2 + BX + C

Study: Factoring ax2 + bx + cLearn how to factor quadratic trinomials with leading coefficients other than 1.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Factoring T rinomials (Basic)Take a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Factoring T rinomials (Advanced)Take a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: Factoring ax2 + bx + cConstruct arguments and critique the reasoning of others as you write about topics in algebra.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 7: SPECIAL CASES

Study: Special CasesLearn how to work with special cases of factoring. Learn definitions for a perfect square trinomial, a difference of twosquares, and a sum or difference of cubes. Practice using strategies that will help you factor each of these specialcases.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Factoring a Difference of SquaresTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Factoring Perfect Square T rinomialsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Sum or Difference of T wo Cubes

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Page 15: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

Take a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 8: FACT ORING OF POLYNOMIALS WRAP-UP

Checkup: Factoring of Polynomials Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: Factoring of PolynomialsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

T est (CS): Factoring of PolynomialsTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 50 points

T est (T S): Factoring of PolynomialsTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 7: MATHEMATICS I SEMESTER 1 EXAM

LESSON 1: MAT HEMAT ICS I SEMEST ER 1 EXAM

Review: Mathematics I Semester 1Prepare for the final exam by reviewing key concepts and skills.Duration: 0 hrs 10 mins Scoring: 0 points

Exam: Mathematics I Semester 1Take a computer-scored exam to demonstrate your mastery of concepts and skills covered in Mathematics I Semester1.Duration: 0 hrs 50 mins Scoring: 125 points

UNIT 8: QUADRATIC EQUATIONS AND FUNCTIONS

LESSON 1: PARABOLAS

Study: ParabolasLearn about finding a parabola's equation from its graph; the effect of the squared variable's coefficient on theparabola's orientation and shape; equations of parabolas with vertices at points other than the origin; vertex form andstandard form of an equation for a parabola; and converting between vertex form and standard form.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsComplete a set of practice problems to check your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Parabolas with Vertices at the OriginTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 10 points

Quiz: Parabolas with Vertices Not at the OriginTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 10 points

Quiz: Converting Parabolic EquationsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 12 points

LESSON 2: SOLVING QUADRAT IC EQUAT IONS

Study: Solving Quadratic Equations

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Page 16: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

Compare quadratic and nonquadratic equations. Learn how to solve quadratic equations by using factoring and thezero-product rule.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Factoring with the Zero-Product RuleTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Converting Quadratics to Standard FormTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Quadratics with Perfect Square T rinomialsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: GRAPHS OF QUADRAT IC FUNCT IONS

Study: Graphs of Quadratic FunctionsRelate factors of a quadratic function to the graph of a parabola and its corresponding x-intercepts. Locate the vertex ofa quadratic function graphically and algebraically. Use the discriminant of the quadratic formula to identify the numberand types of solutions to a given quadratic equation, as well as to visualize its corresponding graph.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsComplete a set of practice problems to check your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Graphs of Quadratic FunctionsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Working with the DiscriminantTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: QUADRAT IC EQUAT IONS AND FUNCT IONS WRAP-UP

Checkup: Quadratic Equations and Functions Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: Quadratic Equations and FunctionsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

T est (CS): Quadratic Equations and FunctionsTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 22 points

T est (T S): Quadratic Equations and FunctionsTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 18 points

UNIT 9: EXPONENTIAL FUNCTIONS

LESSON 1: EXPONENT IAL FUNCT IONS

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Page 17: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

Study: Exponential FunctionsDefine the standard form of an exponential function and explore a variety of its applications, such as exponential growthand decay (in the forms of doubling time and half-life), as well as compound interest. Compare compound interest tocontinuously compounded interest using the irrational number e.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsComplete a set of practice problems to check your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Evaluating Exponential FunctionsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Calculating Exponential GrowthTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: EXAMPLES AND APPLICAT IONS OF EXPONENT IAL FUNCT IONS

Study: Examples and Applications of Exponential FunctionsExplore case studies in exponential growth and decay and logarithmic growth.Duration: 0 hrs 35 mins Scoring: 0 points

Practice: Modeling: Examples and Applications of Exponential FunctionsUse tools to model and solve a real-world problem.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 3: GRAPHS OF EXPONENT IAL FUNCT IONS

Study: Graphs of Exponential FunctionsLearn about the shape of graphs of exponential functions with various bases and about finding the domain and range ofexponential functions.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsComplete a set of practice problems to check your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Graphs of Exponential FunctionsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: Graphs of Exponential FunctionsConstruct arguments and critique the reasoning of others as you write about topics in algebra.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 4: LINEAR AND EXPONENT IAL MODELS

Study: Linear and Exponential ModelsLearn how to use linear and exponential equations as models.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsComplete a set of practice problems to check your understanding of the lessonDuration: 0 hrs 25 mins Scoring: 0 points

Quiz: Linear and Exponential ModelsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 5: EXPONENT IAL FUNCT IONS WRAP-UP

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Page 18: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

Checkup: Exponential Functions Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: Exponential FunctionsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

T est (CS): Exponential FunctionsTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 30 points

T est (T S): Exponential FunctionsTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 44 points

UNIT 10: SEQUENCES AND FUNCTIONS

LESSON 1: FINDING PAT T ERNS

Study: Finding PatternsLearn about image, letter, and number patterns, and about finding the next term.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsComplete a set of practice problems to check your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Finding PatternsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Letter and Number PatternsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: ARIT HMET IC SEQUENCES

Study: Arithmetic SequencesLearn about arithmetic sequences, explicit and recursive formulas, and finding the next term in a sequence.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsComplete a set of practice problems to check your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Arithmetic SequencesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Rules for Arithmetic SequencesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: Arithmetic SequencesConstruct arguments and critique the reasoning of others as you write about topics in algebra.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 3: GEOMET RIC SEQUENCES

Study: Geometric SequencesExplore geometric sequences as sets of numbers in which the ratio between any two consecutive numbers is a

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Page 19: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

constant. Compare how the recursive formula and the explicit formula allow you to find the value of any term in ageometric sequence. Explore the graphs of geometric sequences as exponential curves.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsComplete a set of practice problems to check your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Geometric SequencesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Formulas for Geometric SequencesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Practice: Modeling: Geometric SequencesUse tools to model and solve a real-world problem.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 4: APPLICAT IONS OF NUMBER SEQUENCES

Study: Applications of Number SequencesLearn about applications and models of arithmetic, geometric, and special sequences.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsComplete a set of practice problems to check your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Applications of Arithmetic SequencesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Applications of Geometric SequencesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Applications of Other SequencesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Study: Simple and Compound InterestLearn about simple and compound interest.Duration: 0 hrs 35 mins Scoring: 0 points

LESSON 5: SEQUENCES AND FUNCT IONS WRAP-UP

Checkup: Sequences and Functions Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: Sequences and FunctionsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

T est (CS): Sequences and FunctionsTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 50 points

T est (T S): Sequences and Functions

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Page 20: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

Take a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 11: DESCRIPTIVE STATISTICS

LESSON 1: NUMERICAL DAT A

Study: Numerical DataLearn how to construct and interpret stem-and-leaf plots, histograms, and dot plots along with comparative stem-and-leaf and dot plots.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsComplete a set of practice problems to check your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Numerical DataTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 20 points

Practice: Modeling: Numerical DataUse tools to model and solve a real-world problem.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 2: MEASURES OF CENT ER

Study: Measures of CenterLearn how to calculate and interpret measures of center, such as mean, median, and mode.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsComplete a set of practice problems to check your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Measures of CenterTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: MEASURES OF SPREAD

Study: Measures of SpreadLearn how to calculate and interpret variance, standard deviation, range, interquartile range, and outliers.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsComplete a set of practice problems to check your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Measures of SpreadTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: BOX PLOT S

Study: Box PlotsLearn how to calculate and interpret box plots, comparative box plots, and modified box plots.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsComplete a set of practice problems to check your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Box Plots

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Page 21: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

Take a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 5: DESCRIBING DIST RIBUT IONS

Study: Describing DistributionsLearn how to describe distributions using measures of center, shape, and spread for single and comparative data sets.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsComplete a set of practice problems to check your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Describing DistributionsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: Describing DistributionsConstruct arguments and critique the reasoning of others as you write about topics in algebra.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 6: DESCRIPT IVE ST AT IST ICS WRAP-UP

Checkup: Descriptive Statistics Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: Descriptive StatisticsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

T est (CS): Descriptive StatisticsTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 46 points

T est (T S): Descriptive StatisticsTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 32 points

UNIT 12: CIRCLES WITHOUT COORDINATES

LESSON 1: WHAT IS A CIRCLE?

Study: What Is a Circle?Learn about the definition of a circle and about its center, radius, and circumference.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: What Is a Circle?Take a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: CIRCUMFERENCE

Study: CircumferenceLearn about the irrational number pi and the formula for finding the circumference of a circle. Apply circumference to areal-world problem about how to build a bridge that's tall enough for boats to travel beneath it.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice Problems

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Page 22: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

Check your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Circumference of a CircleTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: AREA OF A CIRCLE

Study: Area of a CircleLearn about the formula for the area of a circle. Explore a case study comparing the cost per square inch of small andlarge pizzas.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Area of a CircleTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: CIRCLES WIT HOUT COORDINAT ES WRAP-UP

Checkup: Circles Without Coordinates Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: Circles Without CoordinatesGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

T est (CS): Circles Without CoordinatesTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 20 points

T est (T S): Circles Without CoordinatesTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 29 points

UNIT 13: THREE-DIMENSIONAL SOLIDS

LESSON 1: T HREE DIMENSIONS

Study: T hree DimensionsLearn about measuring three-dimensional figures.Duration: 0 hrs 35 mins Scoring: 0 points

Quiz: T hree DimensionsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: WHAT IS A POLYHEDRON?

Study: What Is a Polyhedron?Learn about the definition and elements of a polyhedron, prisms and their components, triangular and rectangularprisms, cubes, and regular and irregular pyramids.Duration: 0 hrs 35 mins Scoring: 0 points

Quiz: What Is a Polyhedron?Take a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

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Page 23: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

LESSON 3: CYLINDERS AND CONES

Study: Cylinders and ConesLearn about the definition, components, and properties of a cylinder; the definition and components of a cone; and thesimilarities between cones and pyramids.Duration: 0 hrs 35 mins Scoring: 0 points

Quiz: Cylinders and ConesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: VOLUME

Study: VolumeLearn about area and volume, the formulas for volume of a cube and a rectangular prism, and Bonaventura FrancescoCavalieri's principle. Learn about the formulas for volume of a cylinder, a pyramid, and a cone; explore sample problemsdealing with these formulas. Learn about cross-sectional area.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Volume of Prisms, Cylinders, and CubesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Volume of Cones, Cylinders, and PyramidsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: VolumeThink about and discuss how changing one dimension of a given shape changes its volume and surface area.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 5: SPHERES

Study: SpheresLearn about the definition of a sphere; the formulas for surface area and volume of a sphere; comparing the surface areaand volume of a sphere, cube, cylinder, and cone; and using Cavalieri's principle to derive the formula for volume of asphere.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: SpheresTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 6: T HREE-DIMENSIONAL SOLIDS WRAP-UP

Checkup: T hree-Dimensional Solids Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: T hree-Dimensional SolidsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

T est (CS): T hree-Dimensional Solids

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Page 24: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

Take a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 34 points

T est (T S): T hree-Dimensional SolidsTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 25 points

UNIT 14: COORDINATE GEOMETRY

LESSON 1: MIDPOINT FORMULA

Study: Midpoint FormulaLearn about the midpoints of horizontal, vertical, and diagonal line segments and about the midpoint formula. Completea sample problem.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Midpoint FormulaTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: T HE DIST ANCE FORMULA

Study: T he Distance FormulaDerive the distance formula from the Pythagorean theorem. Use this formula to calculate the distance between anytwo points. Apply the distance formula in a real-world problem that involves locating the shortest route on a nauticalmap.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: T he Distance FormulaTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: T he Distance FormulaUse what you know about the midpoint and distance formulas to critique the reasoning of others.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 3: COORDINAT E GEOMET RY WIT H POLYGONS

Study: Coordinate Geometry with PolygonsInvestigate the properties of polygons using coordinate geometry and congruence transformations on the coordinateplane.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsComplete a set of practice problems to hone your calculation skills.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Coordinate Geometry with PolygonsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 16 points

LESSON 4: AREA OF A T RIANGLE WIT H COORDINAT E GEOMET RY

Study: Area of a T riangle with Coordinate GeometryLearn about the area of a polygon, square units, and the triangle area formula and theorem.

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Page 25: North Carolina Math I (2016) · LESSON 7: SOLVING MULTISTEP LINEAR EQUATIONS Study: Solving Multistep Linear Equations Review the strategy for isolating variables in multistep equations

Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Area of a T riangleTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 5: AREA AND PERIMET ER OF POLYGONS WIT H COORDINAT E GEOMET RY

Study: Area and Perimeter of Polygons with Coordinate GeometryFind the perimeter of any polygon. Determine the areas of irregular polygons by breaking them up into quadrilateralsand regular polygons. Use the apothem formula to find the area of a regular polygon. Complete sample problems aboutthe area of irregular polygons.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Area and Perimeter of PolygonsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 6: COORDINAT E GEOMET RY WRAP-UP

Checkup: Coordinate Geometry Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: Coordinate GeometryGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

T est (CS): Coordinate GeometryTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 44 points

T est (T S): Coordinate GeometryTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 38 points

UNIT 15: MATHEMATICS I SEMESTER 2 EXAM

LESSON 1: MAT HEMAT ICS I SEMEST ER 2 EXAM

Review: Mathematics I Semester 2Prepare for the final exam by reviewing key concepts and skills.Duration: 0 hrs 10 mins Scoring: 0 points

Exam: Mathematics I Semester 2Take a computer-scored exam to demonstrate your mastery of concepts and skills covered in Mathematics I Semester2.Duration: 0 hrs 50 mins Scoring: 125 points

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