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Common Curriculum Map Discipline: Math Course: Algebra 1 Semester One: Standards: 6.11.01 6.11.02 6.11.04 6.11.05 6.11.06 6.11.07 6.11.08 6.11.09 6.11.10 6.11.13 6.11.14 6.11.15 6.11.16 6.11.17 6.11.18 6.11.19 7.11.01 7.11.04 7.11.07 8.11.01 8.11.02 8.11.06 10.11.03 Essential Questions: Chapter 1 What is an algebraic expression? How would you use the properties of numbers to simplify an algebraic expression? Chapter 2 How would you simplify/evaluate a rational expression using the rules of rational numbers? How would you compare rational numbers? Chapter 3 How do you determine if a number is a solution of an equation? How do you decide what to do to both sides of an equation to solve it? Chapter 4 Why is a percent a ratio? How do you set up a proportion? Chapter 5 What is the major difference between solving an equation and solving an inequality? What is the difference between an "and" statement and an "or" statement? Chapter 9 How do you graph an ordered pair? How do you recognize a graph of a linear function? Content: Chapter 1 Variable Expressions Operations and Properties Problem Solving Chapter 2 Operations with Rational Numbers Inequalities and the number line Problem Solving Strategies for Solving Equations Chapter 3 Solving single variable equations Chapter 4 Applications of Rational Numbers Chapter 5 Inequalities Chapter 9 Graphing Skills: Chapter 1 Skills: Evaluate expressions and formulas Use mathematical properties to simplify expressions Solve open sentences Translate verbal expressions into mathematical expressions and equations Chapter 2 Skills: Simplify expressions Add/Subtract/Multiply/Divide and Compare rational numbers Graph inequalities Write equations for verbal problems Chapter 3 Skills: Solve equations using one or more operations Solve equations containing fractions or decimals Solve problems that can be represented by equations Work backwards to solve problems Chapter 4 Skills: Solve proportions Solve problems that can be represented by proportions Solve uniform motion problems Solve problems involving direct variation Chapter 5 Skills: Solve inequalities Solve compound inequalities Solve problems that can be represented by inequalities Chapter 9 Skills Graphing ordered pairs on a coordinate plane Graphing linear equations on a coordinate plane Assessment: Quiz 1.1-1.4 Chapter 1 Test 2.1-2.5 Quiz Chapter 2 Test Quiz 3.1-3.3 Chapter 3 Test Quiz 4.1-4.5 Chapter 4 Test Chapter 5 Test Quiz 9.1 to 9.4 Semester Final Exam - Chapters 1 - 5 and 9.1-9.4 Semester Two: Standards: 6.11.01 6.11.02 6.11.04 6.11.05 6.11.06 6.11.07 6.11.08 6.11.09 6.11.10 6.11.13 6.11.14 6.11.15 6.11.16 6.11.17 6.11.18 6.11.19 7.11.01 7.11.04 7.11.07 8.11.01 8.11.02 8.11.06 10.11.03 Essential Questions: Chapter 6 What is FOIL and how does FOIL work? What are the rules for exponents? Why do we use scientific notation? Chapter 7 How do we apply factoring as the opposite of multiplication? How do we use the Zero Product property to solve quadratic equations? Chapter 10 How does slope relate to the equation of a line? How do you recognize an intercept visually and algebraically? Chapter 11 How does a graph of two linear equations represent a solution to a system of equations? What are the two methods of solving systems of equations algebraically? Chapter 12 What is a radical? How do you add, subtract, and multiply radicals? Chapter 13 What is the relationship between "X squared" and the "square root of x"? Content: Chapter 6 Operations with Polynomials Chapter 7 Factoring Chapter 10 Graphing Linear Equations Chapter 11 Systems of Open Sentences Chapter 12 Radical Expressions Chapter 13 Quadratic Formula Skills: Chapter 6 Skills Arrange the terms of a polynomial in order Multiplying/Dividing monomials Express numbers in scientific and decimal notation Find the degree of a polynomial Add and subtract polynomials Products and quotients of polynomials Chapter 7 Skills Find the prime factorization of an integer Find a Greatest Common Factor (GCF) for a set of monomials Use the GCF and the Distributive Property to factor polynomials Use grouping techniques to factor polynomials Factor quadratic trinomials Factor and identify special forms of polynomials Use Zero Product Property to solve quadratic equations Chapter 10 Skills Find the slope of a line given two points Write an equation of a line in standard form given the coordinates of a point and the slope two points Write an equation of a line in slope-intercept given the slope and y-intercept the slope and the coordinates of a line two points on the line Determine the slope and y-intercept of a graph of a line Determine x and y intercepts of a graph of a line Determine slopes of parallel lines Chapter 11 Skills Solve systems of equations by Graphing Substitution Elimination Chapter 12 Skills Simplify rational square roots Find approximate values for square roots Use the Pythagorean Theorem Identify rational/irrational numbers Simplify square roots Simplify radical expressions involving addition and subtraction Chapter 13 Solve quadratic equations using the Quadratic Formula Assessment: Quiz 6.1-6.4 Chapter 6 Test Quiz 7.1 to 7.3 Quiz 7.3 to 7.8 Chapter 7 Test Quiz 10.1 to 10.2 Chapter 10 Test Chapter 11 Test Quiz 12.2 to 12.4 Chapter 12 Test Quiz on Quadratic formula Semester Exam - Chapters 6 through 13