LEONA QSI Curriculum Map 2013-2014 Teacher: Course Group: Algebra 1 Pre-Requisites: Algebra 1A Course: Algebra 1B Department: Math Grade(s): 9-12 Unit CCSS Standards = Major □ = Supporting ○= Additional Unit 4 (8 days) Intro to Functions Patterns Arithmetic Sequences □N-Q.1, □N-Q.2, □N-Q.3, A-SSE.1a, A-SSE.1.b, A-SSE.2, A-CED.1, ACED.3, A-CED.4, A-REI.1, A-REI.3 A-CED.2 A-REI.10 Interpreting Graphs A-REI.11 Intro to Functions F-IF.1 Graphing Functions F.-IF.2 F-IF.3 F-IF.4 F-IF.5 □F-IF.7a,b,c,e Core Content (High School Standards) Identify the structure of patterns and represent the pattern with an expression. Understand and construct arithmetic sequences in appropriate notation Interpret graphs in relation to a context, and represent a situation graphically Represent constraints of domain and range Explain the meaning of slope, x-intercepts, and y intercepts in relation to a context. Identify families of graphs based on attributes. ( linear, quadratic, exponential) □F-IF.9 Compare attributes of families of graphs □F-BF.1a Make conclusions about graphs in relation to a context. F-BF.2 Graph a situation based on given data, table, or function. Construct Viable Arguments Critique Solutions ○F-BF.3 □F-LE.1a, b, c, □F-LE.2 □F-LE.3 Evaluate Reasonableness of Solutions Assessment Formal Pre Test Quiz Unit Test Resources Identifying Patterns http://illuminations.nctm.org/LessonDetail.aspx?id=L881 Patterns Activity http://insidemathematics.org/problems-ofthe-month/pom-growingstaircases.pdf Dan Meyer: Pixel Pattern http://threeacts.mrmeyer.com/pixelpattern/ In Formal Checking for Understanding Questioning Completion of Project/Activity/Assignment Summarization of Learning Daily Exit Slip http://visualpatterns.org/ Using patterns to write expressions: Chris Shore: Pig Pen Algebra. See Appendix A Graphing Patterns http://www.shodor.org/interactivate/lessons/IntroArithmetic/ Identifying Types of Functions based on data http://illuminations.nctm.org/LessonDetail.aspx?id=L300 Dan Meyer: 25 Billion Apps http://threeacts.mrmeyer.com/25billionapps/ Piecewise Functions http://www.shodor.org/interactivate/lessons/ImpossibleGraphs / Domain and Range Lesson http://thescamdog.wordpress.com/2012/10/26/domain-andrange-lesson/ https://app.box.com/s/cpd2ayhuxblhyaljyy7v Vertical Line Test http://www.shodor.org/interactivate/lessons/VerticalLineTest/ Comparing Linear to Quadratic Functions http://insidemathematics.org/common-core-math-tasks/highschool/HS-F-2007%20Graphs2007.pdf Matching Functions Equations, Tables, Graphs http://insidemathematics.org/common-core-math-tasks/highschool/HS-F-2008%20Sorting%20Functions.pdf Various Functions http://illuminations.nctm.org/LessonDetail.aspx?ID=L768 Functions in Everyday Situations http://map.mathshell.org/materials/lessons.php?taskid=430&su bpage=concept LEONA QSI Curriculum Map 2013-2014 Teacher: Course Group: Algebra 1 Pre-Requisites: Algebra 1A Course: Algebra 1B Department: Math Grade(s): 9-12 Unit CCSS Standards = Major □ = Supporting ○= Additional □F-LE.5 Mathematical Practices MP.1-8 Core Content (High School Standards) Assessment Resources Comparing Key Components of Linear Equations http://illuminations.nctm.org/LessonDetail.aspx?id=L629 Graphing Stories http://www.graphingstories.com/ Desmos Calculator https://www.desmos.com/calculator Sample Task Items: http://www.illustrativemathematics.org/standards/hs LEONA QSI Curriculum Map 2013-2014 Teacher: Course Group: Algebra 1 Pre-Requisites: Algebra 1A Course: Algebra 1B Department: Math Grade(s): 9-12 Unit CCSS Standards = Major □ = Supporting ○= Additional Unit 5 (12 days) Linear Functions Rate of Change & Slope Direct Variation □N-Q.1, □N-Q.2, □N-Q.3, A-SSE.1.b, CED.3, F-IF.1, A-SSE.2, A-CED.4, F.-IF.2, Make conclusions about graphs in relation to a context. A-SSE.1a, A-CED.1, A- A-REI.1, F-IF.4, A-REI.3 , F-IF.5, □F- IF.9, □F-BF.1a, ○F-BF.3 A-CED.2 Slope-Intercept Form A-REI.10 Point-Slope Form A-REI.12 Standard Form Applications of Equations F-IF.6 Core Content (High School Standards) □F-IF.7a Parallel and Perpendicular Lines □F-LE.1a, b, c, □F-LE.2 Write and Apply Linear Functions □F-LE.5 Graphing Linear Inequalities G-GPE.5 Application of Inequalities Mathematical Practices MP.1-8 Graph a situation based on given data, table, or function. Assessment Formal Quiz Unit Test Resources Application of Slope as Rate of Change http://illuminations.nctm.org/LessonDetail.aspx?id=L668 Direct/Indirect Variation http://illuminations.nctm.org/LessonDetail.aspx?id=L729 In Formal Understand and compare the relationship of direct variation functions Compare attributes of linear graphs in relation to the parent function f(x) = x Interpret solutions within a linear equation with two variables. Calculate slope and make conclusion regarding the slope in a context or in comparison to other graphs. Calculate x and y intercepts and make conclusions regarding their meaning in relation to a context, or in comparison to other graphs. Compare and understand the reasoning for different forms of linear functions. Construct linear functions given specific restraints or attributes. Checking for Understanding Questioning Completion of Project/Activity/ Assignment Summarization of Learning Daily Exit Slip Negative Slope Application and Meaningful Intercepts http://illuminations.nctm.org/LessonDetail.aspx?id=L682 Application of Slope, Coordinates http://www.thirteen.org/get-the-math/the-challenges/math-invideogames/take-the-challenge/17/ Dan Meyer: Taco Cart http://threeacts.mrmeyer.com/tacocart/ Chris Shore: tic tacs and kisses http://mathprojects.com/2012/04/03/tic-tacs-and-kisses/ Chris Shore: Rising Water http://mathprojects.com/2012/04/03/rising-water/ Chris Shore: Monster Cars http://mathprojects.com/2012/04/03/monster-cars/ Chris Shore: 4X4 Matching: See Appendix A Robert Kaplinsky: Speeding Ticket http://robertkaplinsky.com/work/finland-speeding-ticket/ Slope Intercept Form http://illuminations.nctm.org/LessonDetail.aspx?ID=L769 Interactive http://www.classzone.com/cz/books/algebra_1_2011_na/get_c hapter_group.htm?cin=5&rg=animated_math&at=animations &npos=2&spos=5&var=animations Graphing Stories http://www.graphingstories.com/ Desmos Calculator https://www.desmos.com/calculator Sample Task Items: http://www.illustrativemathematics.org/standards/hs LEONA QSI Curriculum Map 2013-2014 Teacher: Course Group: Algebra 1 Pre-Requisites: Algebra 1A Course: Algebra 1B Department: Math Grade(s): 9-12 Unit CCSS Standards = Major □ = Supporting ○= Additional Core Content (High School Standards) Construct linear functions to represent a context or situation. Identify and compare linear functions that are parallel and perpendicular Construct linear functions based on parallel and perpendicular restraints. Apply understanding of graphing two variables with linear inequalities. Interpret solutions within regions of inequalities with two variables. Construct Viable Arguments Critique Solutions Evaluate Reasonableness of Solutions Assessment Resources LEONA QSI Curriculum Map 2013-2014 Teacher: Course Group: Algebra 1 Pre-Requisites: Algebra 1A Course: Algebra 1B Department: Math Grade(s): 9-12 Unit CCSS Standards = Major □ = Supporting ○= Additional Unit 6 (10 days) Systems of Equations Foundations of Linear Systems Solving by Substitution Solving by Elimination Applications of Systems Systems of Linear Inequalities □N-Q.1, □N-Q.2, □N-Q.3, A-SSE.1.b, CED.3, F-IF.1, A-SSE.2, A-CED.4, F.-IF.2, Interpret the solutions to a system of equations. A-SSE.1a, A-CED.1, A- A-REI.1, F-IF.4, A-REI.3 Core Content (High School Standards) , F-IF.5, □F- IF.9, □F-BF.1a, ○F-BF.3 A-CED.2 ○A-REI.5 ○ A-REI.6 A-REI.10 A-REI.11 A-REI.12 F-IF.6 □F-IF.7a Make conclusions relating the system of equations in relation to a context. Solve for a solution to a system of equations exactly and approximately using various methods and strategies. Communicate methods for solving equations and justify the reasoning. Identify the constraints of a solution within a system of equations or inequalities and in relation to a context. Interpret solutions within regions between systems of graphed inequalities with two variables. Construct Viable Arguments □F-LE.1a, b, c, □F-LE.2 □F-LE.5 Mathematical Practices MP.1- 8 Critique Solutions Evaluate Reasonableness of Solutions Assessment Formal Quiz Unit Test In Formal Checking for Understanding Questioning Completion of Project/Activity/ Assignment Summarization of Learning Daily Exit Slip Resources Systems of Equations Graphing http://illuminations.nctm.org/LessonDetail.aspx?ID=L770 Application Systems of Equations -Cell Phone Plan http://illuminations.nctm.org/LessonDetail.aspx?id=L780 Interactive http://www.classzone.com/cz/books/algebra_1_2011_na/get_c hapter_group.htm?cin=7&rg=animated_math&at=animations &npos=3&spos=7&var=animations Dan Meyer: Ditch Diggers http://threeacts.mrmeyer.com/ditchdiggers/ Dan Meyer: Dueling Discounts http://threeacts.mrmeyer.com/duelingdiscounts/ Chris Shore: Tortoise and the Hair http://mathprojects.com/2012/04/03/the-tortoise-and-the-hare/ Chris Shore: Mixture Problems http://mathprojects.com/2012/04/03/stixture-problems/ Chris Shore: Monster Cars http://mathprojects.com/2012/04/03/monster-cars/ Desmos Calculator https://www.desmos.com/calculator Graphing Stories http://www.graphingstories.com/ Sample Task Items: http://www.illustrativemathematics.org/standards/hs