CURRICULUM MAP PA CC Version. Month: September Content PA Common Core CCSS/Keystone Skills Assessment Evaluate variable
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1 CC.2.1.HS.F.4 Ch. 1 & 2 Use units as a way to understand problems and to guide the solution of multi-step problems. CC.2.1.HS.F.5 Ch. 1 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. Ch. 1 & 2 CC.2.2.HS.C.1 -Ch. 1 Use the concept and notation of functions to interpret and apply them in terms of their context. CC.2.2.HS.C.2 Ch. 1 Graph and analyze functions and use their properties to make connections between the different representations. CC.2.4.HS.B.1 Ch. 1 Summarize, represent, and interpret data on a single count or measurement variable. CC.2.2.HS.D.1 Ch. 2 Interpret the structure of expressions to represent a quantity in terms of its context. CURRICULUM MAP PA CC Version Month: September Content PA Common Core / Skills Assessment Connections to Algebra CC.2.1.HS.F.1 Ch. 1 Evaluate variable Daily homework related to Apply and extend the properties of (Chapter 1) expressions exponents to solve problems with rational exponents. A ; A Evaluate powers Evaluate exponential Daily warm-ups related to CC.2.1.HS.F.2 Ch. 1 & 2 expressions Apply properties of rational and N.Q.1; NQ.2; NQ.3; Evaluate expressions with Weekly Quizzes teacher irrational numbers to solve real world or A.SSE.1; A.. SSE 1a; mathematical problems. and without grouping A.SSE.3; A.CED.1; symbols Properties of Real Numbers CC.2.1.HS.F.3 Ch. 1 & 2 A.CED.2; A.CED.3; Evaluate real life expressions Classroom guided practice (Chapter 2) Apply quantitative reasoning to choose 8.EE.1; 8.EE.2; 8.F.1; Solve equations mentally and Interpret units and scales in 8.F.2; F.IF.4 (describe how formulas, graphs and data displays. Solve real life equations data changes) A ; A ; A1.1.1; A A.SSE.1a; N.Q.2; A.SSE.1; A.SSE.1a Translate words into mathematical symbols Graph a function using a table Compare real numbers Order real numbers Graph real numbers Add and subtract real numbers applying the properties of addition Multiply and divide real numbers applying properties of multiplication Eliminate parenthesis using the distributive property Identify and combine like terms Simplify expressions Chapter Tests teacher made, skill based problem solving
2 Month: October Content PA Common Core / Skills Assessment Identify linear equations Daily homework related to CC.2.1.HS.F.2 Apply properties of rational and Solve equations using irrational numbers to solve real world inverse operations or mathematical problems. A Solve multi-step equations Daily warm-ups related to Solve equations with CC.2.1.HS.F.3 variables on both sides Weekly Quizzes teacher Apply quantitative reasoning to choose and Interpret units and scales Solve problems using in formulas, graphs and data displays. formulas from science and Solving Linear Equation (Chapter 3) CC.2.1.HS.F.4 Use units as a way to understand problems and to guide the solution of multi-step problems. CC.2.2.HS.D.7 Create and graph equations or inequalities to describe numbers or relationships. CC.2.2.HS.D.8 Apply inverse operations to solve equations or formulas for a given variable. CC.2.2.HS.D.10 Represent, solve and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically. A.REI.1;A.REI.3; A.CED.1; A.CED.4; 8.EE.6; 8.F.4; 8.F.5 geometry Find ratios and rates Use and apply unit analysis Solve percent problems using equations Classroom guided practice Chapter Tests teacher made, skill based problem solving District Assessment multiple choice
3 Month: November CURRICULUM MAP Content PA Common Core / Skills Assessment CC.2.2.HS.D.7 Identify coordinates and Create and graph equations or quadrants in the coordinate inequalities to describe numbers or relationships. A ; A plane Graphing Linear Equations and Function (Chapter 4) CC.2.2.HS.C.1 Use the concept and notation of functions to interpret and apply them in terms of their context. CC.2.2.HS.C.2 Graph and analyze functions and use their properties to make connections between the different representations. CC.2.2.HS.C.3 Write functions or sequences that model relationships between two quantities. CC.2.2.HS.C.4 Interpret the effects transformations have on functions and find the inverses of functions. CC.2.2.HS.C.5 Construct and compare linear, quadratic and exponential models to solve problems CC.2.2.HS.C.6 Interpret functions in terms of the situation they model. CC.2.4.HS.B.1 Summarize, represent, and interpret data on a single count or measurement variable. CC.2.4.HS.B.2 Summarize, represent, and interpret data on two categorical and quantitative variables. F.IF.6; F.IF.7; F.IF.7a; A.CED.2; A.CED.3; A.REI.10; F.IF.8; A.REI.11 (p.250 when we get calculators); 8.F.3; F.IF.1; F.IF.2; F.IF.6 Plot points in the coordinate plane Graph linear equations using a table of values Manipulate equations into function form Graph horizontal and vertical lines Find x-intercepts and y- intercepts Graph lines using intercepts Determine slope of a line using rise/run Find slope of a line between 2 points Classify slopes of lines Graph, write, and use a direct variation model Find the slope and y-intercept of a line Manipulate equations into slope-intercept form Graph equations in slopeintercept form Identify parallel lines Identify functions Use the vertical line test to identify functions Evaluate and graph functions Daily homework related to Daily warm-ups related to prior knowledge not graded Weekly Quizzes teacher Classroom guided practice Chapter Tests teacher solving
4 Month: December Content PA Common Core / Skills Assessment Writing Linear Equations Write an equation of a line Daily homework related to (Chapter 5) CC.2.2.HS.C.6 using a graph Interpret functions in terms of the situation they model. Write an equation in pointslope form Daily warm-ups related to A ; A CC.2.4.HS.B.1 Write an equation of a Summarize, represent, and interpret parallel line Weekly Quizzes teacher data on a single count or A.CED.2; F.IF.3; F.LE.2; measurement variable. Write the equation of a line S.ID.6a; 8.EE.7; 8.EE.7a; when given 2 points 8.EE.7b Determine which form to use Classroom guided practice when writing the equation of a line Chapter Tests teacher Write the equation of a line when given a graph solving Manipulate the equation of a line into standard form Write equations of horizontal and vertical lines Write and use a linear model Identify perpendicular lines Write an equation of a perpendicular line Manipulate equations from slope-intercept and pointslope form into standard form
5 Month: January Content PA Common Core / Skills Assessment Solving and Graphing Linear Solve inequalities using Daily homework related to Inequalities CC.2.2.HS.D.7 addition and subtraction Create and graph equations or (Chapter 6) inequalities to describe numbers or A ; A ; Solve inequalities using relationships. multiplication and division Daily warm-ups related to Graph inequalities A.REI.3; A.REI.12; Solve multi-step Weekly Quizzes teacher A.CED.1; 8.EE.8; inequalities 8.EE.8a; 8.EE.8b; Graph linear inequalities in CC.2.2.HS.D.10 8.EE.8c; 8.EE.5; 8.EE.6 2 variables Classroom guided practice Represent, solve and interpret equations/inequalities and systems of Solve compound equations/inequalities algebraically inequalities involving AND Chapter Tests teacher made, and graphically. and OR skill based problem solving Solve absolute value equations District Assessment multiple choice Solve absolute value inequalities
6 Month: February Content PA Common Core / Skills Assessment Graph and check a linear Daily homework related to CC.2.2.HS.D.7 system Create and graph equations or inequalities to describe numbers or A ; A ; Write and solve a real-life relationships. A ; A linear system Daily warm-ups related to Solve a linear system using substitution Weekly Quizzes teacher AREI.5; A.REI.6; Solve a linear system using A.REI.12 linear combinations CC.2.2.HS.D.10 Represent, solve and interpret Solve mixture problems Classroom guided practice equations/inequalities and systems of using linear systems equations/inequalities algebraically Identify special types of Chapter Tests teacher and graphically. linear systems Determine the number of solving solutions that a linear system District Assessment open has ended Graph systems of 2 and 3 Systems of Linear Equations and Inequalities (Chapter 7) Exponents and Exponential Functions (Chapter 8) CC.2.2.HS.D.2 Write expressions in equivalent forms to solve problems. CC.2.2.HS.C.5 Construct and compare linear, quadratic and exponential models to solve problems A A.SSE.3c; A.CED.2; 8.EE.3; 8.EE.4 linear inequalities Write systems of linear inequalities Simplify expressions using the product of powers property Simplify expressions using the power of a power property Simplify expressions using the power of a product property Evaluate exponential expressions with zero and negative exponents Simplify exponential expressions with zero and negative exponents
7 Month: March Content PA Common Core / Skills Assessment See standards from previous Simplify expressions using page for Chapter 8. the quotient of powers Exponents and Exponential Functions (continued) (Chapter 8) Quadratic Equations and Functions (Chapter 9) Polynomials and Factoring (Chapter 10) CC.2.2.HS.C.4 Interpret the effects transformations have on functions and find the inverses of functions. CC.2.2.HS.C.5 Construct and compare linear, quadratic and exponential models to solve problems CC.2.2.HS.D.2 Write expressions in equivalent forms to solve problems. CC.2.2.HS.D.3 Extend the knowledge of arithmetic operations and apply to polynomials s A ;A ; A F.B.F.3; FIF.4; F.I.F.7a; F.I.F.7c; A.REI.4b; A.CED.2; s A ; A A.APR.1; A.REI.4; A.REI.4b; A.SSE.3a; A.SSE.2; A.SSE.3a property Simplify expressions using the power of a quotient property Simplify expressions using all exponent properties Write numbers in decimal form Write numbers in scientific notation Evaluate expressions containing scientific notation Find square roots of numbers Evaluate square roots of numbers Evaluate radical expressions with and without a calculator Solve quadratic equations Simplify radicals using the product and quotient properties Rationalize the denominator of a radical expression Solve quadratic equations using the quadratic formula Find the degree of a monomial Identify polynomials Add and Subtract polynomials Multiply polynomials Multiply binomials using the FOIL method Daily homework related to Daily warm-ups related to Weekly Quizzes teacher Classroom guided practice Chapter Tests teacher solving District Assessment multiple choice
8 Month: April Content Polynomials and Factoring (Continued) (Chapter 10) PA Standards and Eligible Content See standards from previous page for Chapter 10. / Skills Assessment s A ; A A.APR.1; A.REI.4b; A.SSE.2; A.SSE.3a Find special products of polynomials Solve quadratic equations in factored form using the zero-product property Solve a repeated-factor equation Solve a factored cubic equation Factor trinomials of the form x 2 +bx+c Factor trinomials of the form ax 2 +bx+c Solve quadratic equations by factoring Factor special products (difference of squares and perfect square trinomials) Factor out the Greatest Common Factor Factor Completely Solve quadratic equations by factoring completely Daily homework related to Daily warm-ups related to Weekly Quizzes teacher Classroom guided practice Chapter Tests teacher made, skill based problem solving
9 Month: May Content PA Common Core / Skills Assessment Solve proportions using the Daily homework related to cross product property A ; A ; Write and use proportions CC.2.2.HS.D.3 A ; Simplify rational Daily warm-ups related to Extend the knowledge of arithmetic expressions operations and apply to polynomials Multiply and divide rational Weekly Quizzes teacher expressions A.SSE.3b;A.REI.2 Add and subtract rational expressions with like Classroom guided practice denominators Add and subtract rational Chapter Tests teacher expressions with unlike denominators solving Rational Expressions and Equations (Chapter 11) Probability/Data Analysis (Chapter 13) CC.2.4.HS.B.1 Summarize, represent, and interpret data on a single count or measurement variable. CC.2.4.HS.B.2 Summarize, represent, and interpret data on two categorical and quantitative variables. CC.2.4.HS.B.3 Analyze linear models to make interpretations based on the data. CC.2.4.HS.B.7 Apply the rules of probability to compute probabilities of compound events in a uniform probability model. CC.2.1.HS.F.3 Apply quantitative reasoning to choose and Interpret units and scales in formulas, graphs and data displays. CC.2.1.HS.F.5 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. A ; A ; A ; A ; A ; S.CP.1; S.CP.9; S.ID.1 Find probability and odds Finding probability using permutations and combinations Finding probabilities of compound events Interpret stem and leaf and histograms Interpret box and whisker graphs District Assessments multiple choice
10 Month: June Content PA Common Core / Skills Assessment Radicals and more Add and subtract radicals Daily homework related to connections to Geometry Solve radical equations (Chapter 12) F.BF.3; F.IF.7a; F.IF.7c; Solve problems using the A.REI.2; A.REI.4a; Pythagorean Theorem Daily warm-ups related to CC.2.1.HS.F.2 A.REI.4b; (note: not done for Apply properties of rational and imaginary roots); N.RN.1; irrational numbers to solve real world Weekly Quizzes teacher or mathematical problems. N.RN.2; 8.G.7; 8.G.8 Classroom guided practice Chapter Tests teacher made, skill based problem solving District Assessments multiple choice
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