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21CCCS is in the process of moving curriculum documents such as the curriculum map and elements of the scope and sequence online. This will improve access and readability of the information. This sample of the Algebra I, Quarter 1 Scope & Sequence highlights the approach taken to ensure all standards in the course are written, taught, and assessed by the end of the course.
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Algebra 1
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QuarterUnitWeekItem #LessonLearning ActivityAssignment/ ExamObjectives
(You will be able to...)		Keystone Eligible ContentPA CC StandardsInstructional Strategies
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111Benchmark
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1.1FractionsA1.1.1.2.1 Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.
A1.1.1.1.1 Compare and/or order any real numbers.		CC.2.1.6.E.3 Develop and/or apply number theory concepts to find common factors and multiples.
CC.2.1.HS.F.2 Apply properties of rational and irrational numbers to solve real-world or mathematical problems.
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1.1.aGCF & LCM of NumbersList multiples and find the least common multiple of numbers.
List factors and find the greatest common factor of numbers.		A1.1.1.2.1 Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.CC.2.1.6.E.3 Develop and/or apply number theory concepts to find common factors and multiples.
CC.2.1.HS.F.2 Apply properties of rational and irrational numbers to solve real-world or mathematical problems.		Identifying similarities and differences
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1.1.bMultiply & Divide FractionsMultiply and divide fractions.
Reduce fractions.		A1.1.1.2.1 Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.
A1.1.1.1.1 Compare and/or order any real numbers.		CC.2.1.6.E.3 Develop and/or apply number theory concepts to find common factors and multiples.
CC.2.1.HS.F.2 Apply properties of rational and irrational numbers to solve real-world or mathematical problems.		Homework and practice
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21.1.cAdd & Subtract FractionsAdd and subtract fractions.
Reduce fractions.		A1.1.1.2.1 Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.
A1.1.1.1.1 Compare and/or order any real numbers.		CC.2.1.6.E.3 Develop and/or apply number theory concepts to find common factors and multiples.
CC.2.1.HS.F.2 Apply properties of rational and irrational numbers to solve real-world or mathematical problems.		Homework and practice
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1.1.dFractions Assignment
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31.2Exponents & RootsA1.1.1.1.2 Simplify square roots (e.g., √24 = 2√6).
A1.1.1.3.1 Simplify/evaluate expressions involving properties/laws of exponents, roots, and/or absolute values to solve problems.		CC.2.1.HS.F.1 Apply and extend the properties of exponents to solve problems with rational exponents.
CC.2.1.HS.F.2 Apply properties of rational and irrational numbers to solve real-world or mathematical problems.
CC.2.2.8.B.1 Apply concepts of radicals and integer exponents to generate equivalent expressions.
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1.2.aEvaluate Exponents & RootsEvaluate exponents and roots.A1.1.1.1.2 Simplify square roots (e.g., √24 = 2√6).
A1.1.1.3.1 Simplify/evaluate expressions involving properties/laws of exponents, roots, and/or absolute values to solve problems.		CC.2.1.HS.F.1 Apply and extend the properties of exponents to solve problems with rational exponents.
CC.2.1.HS.F.2 Apply properties of rational and irrational numbers to solve real-world or mathematical problems.
CC.2.2.8.B.1 Apply concepts of radicals and integer exponents to generate equivalent expressions.		Cues or questions or advance organizer
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1.2.bSimplifying Square RootsSimplify square roots using perfect square factors.A1.1.1.1.2 Simplify square roots (e.g., √24 = 2√6).CC.2.1.HS.F.1 Apply and extend the properties of exponents to solve problems with rational exponents.
CC.2.1.HS.F.2 Apply properties of rational and irrational numbers to solve real-world or mathematical problems.
CC.2.2.8.B.1 Apply concepts of radicals and integer exponents to generate equivalent expressions.		Summarizing and note taking
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1.2.cExponents & Roots Assignment
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41.3Use Real NumbersA1.1.1.1.1 Compare and/or order any real numbers.
A1.1.1.3.1 Simplify/evaluate expressions involving properties/laws of exponents, roots, and/or absolute values to solve problems.
A1.1.1.4.1 Use estimation to solve problems.		CC.2.1.8.E.1 Distinguish between rational and irrational numbers using their properties.
CC.2.1.8.E.4 Estimate irrational numbers by comparing them to rational numbers.
CC.2.1.HS.F.2 Apply properties of rational and irrational numbers to solve real-world or mathematical problems.
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1.3.aAbsolute Value & Order of OperationsSimplify expressions using the order of operations and absolute value.A1.1.1.1.1 Compare and/or order any real numbers.
A1.1.1.3.1 Simplify/evaluate expressions involving properties/laws of exponents, roots, and/or absolute values to solve problems.		CC.2.1.HS.F.2 Apply properties of rational and irrational numbers to solve real-world or mathematical problems.Reinforcing effort and providing recognition
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1.3.bCompare & Order Real NumbersCompare real numbers with inequality symbols.
Order real numbers on a number line.		A1.1.1.1.1 Compare and/or order any real numbers.
A1.1.1.3.1 Simplify/evaluate expressions involving properties/laws of exponents, roots, and/or absolute values to solve problems.
A1.1.1.4.1 Use estimation to solve problems.		CC.2.1.8.E.1 Distinguish between rational and irrational numbers using their properties.
CC.2.1.8.E.4 Estimate irrational numbers by comparing them to rational numbers.		Cooperative learning
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1.3.cEnd-of-Unit Exam
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252.1Properties & ExpressionsA1.1.2.1.1 Write, solve, and/or apply a linear equation (including problem situations).
A1.1.2.1.2 Use and/or identify an algebraic property to justify any step in an equation-solving process. Note: Linear equations only.
A1.1.2.1.3 Interpret solutions to problems in the context of the problem situation. Note: Linear equations only.		CC.2.2.8.B.3 Analyze and solve linear equations and pairs of simultaneous linear equations.
CC.2.2.8.C.1 Define, evaluate, and compare functions.
CC.2.2.8.C.2 Use concepts of functions to model relationships between quantities.
CC.2.2.HS.C.3 Write functions or sequences that model relationships between two quantities.
CC.2.2.HS.D.9 Use reasoning to solve equations and justify the solution method.
CC.2.2.HS.D.10 Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.
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2.1.aVariables & ExpressionsWrite algebraic expressions from words.
Evaluate algebraic expressions using the substitution property of equality.		A1.1.2.1.1 Write, solve, and/or apply a linear equation (including problem situations).
A1.1.2.1.3 Interpret solutions to problems in the context of the problem situation. Note: Linear equations only.		CC.2.2.8.C.1 Define, evaluate, and compare functions.
CC.2.2.8.C.2 Use concepts of functions to model relationships between quantities.
CC.2.2.HS.C.3 Write functions or sequences that model relationships between two quantities.
CC.2.2.HS.D.10 Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.		Nonlinguistic representations
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2.1.bProperties of Real NumbersIdentify the following properties of real numbers: Commutative, Associative, Distributive, Identity, Inverse.
Use the commutative and distributive properties to simplify expressions.		A1.1.2.1.2 Use and/or identify an algebraic property to justify any step in an equation-solving process. Note: Linear equations only.CC.2.2.8.B.3 Analyze and solve linear equations and pairs of simultaneous linear equations.
CC.2.2.HS.D.9 Use reasoning to solve equations and justify the solution method.		Summarizing and note taking
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2.1.cProperties of EqualityIdentify properties of equality: Symmetric, Addition, Additive Inverse, Multiplication, Multiplicative Inverse.
Use properties of equality to solve one-step equations.		A1.1.2.1.1 Write, solve, and/or apply a linear equation (including problem situations).
A1.1.2.1.2 Use and/or identify an algebraic property to justify any step in an equation-solving process. Note: Linear equations only.		CC.2.2.8.B.3 Analyze and solve linear equations and pairs of simultaneous linear equations.
CC.2.2.HS.D.8 Apply inverse operations to solve equations or formulas for a given variable.
CC.2.2.HS.D.9 Use reasoning to solve equations and justify the solution method.
CC.2.2.HS.D.10 Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.		Summarizing and note taking
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62.1.dMid-Unit Exam
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2.2Solve EquationsA1.1.2.1.1 Write, solve, and/or apply a linear equation (including problem situations).
A1.1.2.1.2 Use and/or identify an algebraic property to justify any step in an equation-solving process. Note: Linear equations only.		CC.2.2.8.B.3 Analyze and solve linear equations and pairs of simultaneous linear equations.
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.
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2.2.aTwo-Step EquationsSolve two-step equations.
Justify equation solving steps with properties of equality.		A1.1.2.1.1 Write, solve, and/or apply a linear equation (including problem situations).
A1.1.2.1.2 Use and/or identify an algebraic property to justify any step in an equation-solving process. Note: Linear equations only.		CC.2.2.8.B.3 Analyze and solve linear equations and pairs of simultaneous linear equations.
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.		Setting objectives and providing feedback
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72.2.bMulti-Step EquationsSolve multi-step equations.
Justify equation solving steps with properties.		A1.1.2.1.1 Write, solve, and/or apply a linear equation (including problem situations).
A1.1.2.1.2 Use and/or identify an algebraic property to justify any step in an equation-solving process. Note: Linear equations only.		CC.2.2.8.B.3 Analyze and solve linear equations and pairs of simultaneous linear equations.
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.		Cooperative learning
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2.2.cExpressions & Equations Assignment
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82.3Basic InequalitiesA1.1.3.1.2 Identify or graph the solution set to a linear inequality on a number line.
A1.1.3.1.3 Interpret solutions to problems in the context of the problem situation. Note: Linear inequalities only.		CC.2.2.HS.D.7 Create and graph equations or inequalities to describe numbers or relationships.
CC.2.2.HS.D.10 Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.
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2.3.aGraph InequalitiesIdentify solutions to an inequality.
Graph inequalities on a number line.
Write an inequality from a number line.		A1.1.3.1.2 Identify or graph the solution set to a linear inequality on a number line.
A1.1.3.1.3 Interpret solutions to problems in the context of the problem situation. Note: Linear inequalities only.		CC.2.2.HS.D.7 Create and graph equations or inequalities to describe numbers or relationships.
CC.2.2.HS.D.10 Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.		Nonlinguistic representations
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2.3.bSolve InequalitiesSolve inequalities and graph their solutions on a number line.A1.1.3.1.2 Identify or graph the solution set to a linear inequality on a number line.CC.2.2.HS.D.7 Create and graph equations or inequalities to describe numbers or relationships.
CC.2.2.HS.D.10 Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.		Cues or questions or advance organizer
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2.3.cBasic Inequalities Assignment
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92.4Compound InequalitiesA1.1.3.1.1 Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).
A1.1.3.1.2 Identify or graph the solution set to a linear inequality on a number line.
A1.1.3.1.3 Interpret solutions to problems in the context of the problem situation. Note: Linear inequalities only.		CC.2.2.HS.D.7 Create and graph equations or inequalities to describe numbers or relationships.
CC.2.2.HS.D.10 Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.
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2.4.aGraph Compound InequalitiesGraph compound inequalities on a number line.
Write a compound inequality from a number line or a situation.		A1.1.3.1.1 Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).
A1.1.3.1.2 Identify or graph the solution set to a linear inequality on a number line.
A1.1.3.1.3 Interpret solutions to problems in the context of the problem situation. Note: Linear inequalities only.		CC.2.2.HS.D.7 Create and graph equations or inequalities to describe numbers or relationships.
CC.2.2.HS.D.10 Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.		Nonlinguistic representations
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2.4.bSolve Compound InequalitiesSolve compound inequalities and graph their solutions on a number line.A1.1.3.1.1 Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).
A1.1.3.1.2 Identify or graph the solution set to a linear inequality on a number line.		CC.2.2.HS.D.7 Create and graph equations or inequalities to describe numbers or relationships.
CC.2.2.HS.D.10 Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.		Cues or questions or advance organizer
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102.4.cEnd-of-Unit Exam
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