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1 CURRICULUM MAP TEMPLATE Priority Standards = Approximately 70% Supporting Standards = Approximately 20% Additional Standards = Approximately 10% Algebra 1b 212 Time Line September/ October Essential Questions & Content What are the tools needed to represent and manipulate symbolic situations? Real Numbers Order of Operations Exponents and Powers Simplify Approximate/estimate Real number characteristics Representation of numbers Relationships among numbers and number systems Understand meanings of operations and how they relate to one another Fluent and reasonable estimates Framework Standard N-RN.1 N-RN.2 N-RN.3 N-Q.1 N-Q.2 N-Q-3 N-CN.1 N-CN.2 N-CN.3 N-VM.1 N-VM.2 N-VM.3 N-VM.4 S-ID.1 S-ID.2 S-ID.3 S-ID.4 S-ID.5 S-ID.6 S-ID.7 S-ID.8 S-ID.9 S-CP.1 S-CP.2 S-MD.1 S-MD.4 Skills Demonstrate an understanding of various algebraic representations Extend, simplify and use properties on exponents and powers in numerical expressions Simplify numerical expressions by applying the order of operations Analysis of equations & inequalities Formulate a plan using to problem solve Represent, analyze and extract information when working with tables and graphs. Explore data and statistics through different representations Recognize functions Estimate values of real numbers and Assessment & Learner Expectations

2 place on number line November/ December What techniques are used to understand linear relationships? Sequences/Patterns Linear relations Slope Equation of a line Graphing lines Parallel and Perpendicular lines Patterns, relations, and functions Line's slope and x- and y intercepts Linear equation from a graph Slope of parallel and perpendicular lines Problems that can be modeled using linear A-CED.1 A-CED.2 A-REI.1 A-REI.2 F-IF F-BF F-LE G-CO S-ID.6 S-ID.7 S-ID.8 S-ID.9 Display and extract data in matrices Apply the Distributive Property Experiment and generate outcomes using probability/ odds Solve equations for unknowns Problem solve by using linear relationships and Transform and evaluate formulas and functions Represent numerical values and relationships as rates, ratios, and percents Graph coordinates and create scatter plots given data Graph linear functions in several forms (slopeintercept) and in an efficient process Identify and use properties on direct variation Demonstrate an understanding of

3 functions &relations January/ February How can we represent linear relationships and planar relationships? Coordinate plane Equation of a line Graphing lines Parallel and Perpendicular lines Inequalities Everyday problems that can be modeled using linear equations and graphs Inequalities including those involving absolute value of linear expressions and apply to the solution of problems A-CED.1 A-CED.2 A-REI.1 A-REI.2 A-REI.5 A-REI.6 F-IF.1 F-IF.2 F-IF.4 F-IF.5 F-IF.6 F-IF.7 F-IF.9 F-BF1 F-LE.1 Formulate linear relationships in slope-intercept form, point-slope form and standard form Approximate a line of best fit to data given Predict with linear Solve linear inequalities, and absolute-value equations and inequalities Graph linear Inequalities and understand graphical planar solutions Select, create, and interpret stem-andleaf plots, and boxand-whisker plots Analyze data with measures of central tendency Utilize graphing calculator technology to help visualize linear equations

4 March/ April May/June What is a linear system and how does it relate to linear equations? Substitution Exponents Systems of equations Equivalent system Modeling everyday problems using systems of linear equations or inequalities Algebraic and graphical methods to the solution Monomial simplification What do non-linear relationships and their solutions look like? Quadratic Square Roots Radicals Quadratic formula Discriminant Parabola A-REI.5 A-REI.6 F-IF.1 F-IF.2 F-IF.4 F-IF.5 F-IF.6 F-IF.7 F-IF.9 F-BF1 F-LE.1 N-CN.4 N-CN-5 N-CN.6 N-CN.7 N-CN.8 A-SSE.1 A-SSE.2 A-SSE.3 A-APR.1 A-APR.1 A-APR.2 A-APR.4 A-REI.7 A-REI.8 Solve linear systems by graphing and substitution methods Problem solve by first formulating a linear system Categorize and interpret special types of linear systems Solve systems of linear inequalities with planar graphs Apply properties of exponents on monomials (multiplication and division) Simplify monomials with zero and negative exponents Demonstrate operations performed on polynomial expressions to simplify equations by applying inverse relationships (square roots) Simplify radicals Graph quadratic functions AIM- Absolute Value and Inequalities, System of Equations

5 Add, subtract, and multiply polynomials. Divide polynomials by monomials Find solutions to quadratic equations (with real roots) by factoring, square rooting, or using the quadratic formula. Modeling of everyday problems using quadratic functions Simplified form to factored form Combining real numbers in radical form Visualizing quadratics as parabolas F-LE.3 F-LE.4 F-LE.5 equations by graphing Utilize the Quadratic formula to solve quadratic functions Analyze types of second degree solutions by using the discriminant functions by factoring AIM -Quadratic equation

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