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GRADE LEVEL: HIGH SCHOOL SUBJECT: ALGEBRA 1 GRADING PERIOD: QUARTER 3 CONTENT REAL NUMBERS AND EXPRESSIONS  Irrational Numbers 
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Rational exponents Square roots of non‐perfect square Integers and Monomials Algebraic Rational Expressions DATE: 2015‐2016 MASTER COPY 12‐3‐15 STANDARD INDICATORS SKILLS ASSESSMENT VOCABULARY ECA AI.RNE.2: Explain why the sum or 
product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. AI.RNE.3: Rewrite and evaluate 
numeric expressions with positive rational exponents using the properties of exponents. AI.RNE.4: Simplify square roots of 
non‐perfect square integers and algebraic monomials. AI.RNE.5: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms 
Determine sums and products of irrational numbers. 
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Use the properties of exponents evaluate and simplify expressions with rational exponents. Simplify square roots of non‐
perfect square monomial expressions. Simplify fractions involving monomial numerators and denominators with both positive and negative exponents. 1 
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Quiz Test Teacher observation Peer evaluation 
Irrational numbers YES Quiz Test Teacher observation Peer evaluation Quiz Test Teacher observation Peer evaluation Quiz Test Teacher observation Peer evaluation 
Rational exponents YES 
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Monomial Non‐Perfect Square YES 
Algebraic rational expressions YES CONTENT REAL NUMBERS AND EXPRESSIONS  Polynomials  Difference of two squares  Perfect square trinomials STANDARD INDICATORS SKILLS ASSESSMENT VOCABULARY ECA Factor polynomial expressions using greatest common factors, grouping and special factoring patterns (difference of squares). 
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Add, subtract, multiply and divide polynomial expressions. 
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AI.RNE.6: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. AI.RNE.7: Understand  Compute with polynomials are closed under the polynomials operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. LINEAR EQUATIONS, INEQUALITIES AND FUNCTIONS AI.L.7: Represent real‐world  Linear problems using linear inequalities Inequalities in in two variables and solve such two variables  Solve real world problems; interpret the solution set and determine whether it is problems reasonable. Solve other linear inequalities in two variables by graphing. 
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Write and solve linear inequalities that represent real‐world situations. Graph linear inequalities to represent solution sets. 2 
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Polynomials Factoring Difference of two squares Perfect square trinomials YES Quiz Test Teacher observation Peer evaluation YES Quiz Test Teacher observation Peer evaluation 
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Linear Inequalities Solution sets YES CONTENT SYSTEMS OF EQUATIONS AND INEQUALITIES  Systems of two linear Inequalities. STANDARD INDICATORS SKILLS ASSESSMENT AI.SEI.4: Represent real‐world 
problems using a system of two linear inequalities in two variables and solve such problems; 
interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. Solve and interpret solutions of linear inequalities in two variables. Graph systems of linear inequalities with and without technology. 3 
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VOCABULARY ECA Quiz Test Teacher observation Peer evaluation YES 
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