State College Area School District



MODULE 1—Operations and Linear Equations & Inequalities????Quarter Description1234Translate words into algebraic expressions, equations and inequalities (Lesson 1-1-incoming skill)Simplify and estimate square roots. (Lesson 3-8)Understand the meaning of operations and how they relate to one another...ORDER of OPERATIONS (Lesson 1-2-incoming skill)Classify numbers - natural, whole, integer, rational, irrational, real and order them on a number line (Lesson 1-3-incoming skill)Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials. ?(Lesson 9-2)Simplify/evaluate expressions involving properties/laws of exponents, roots, and/or absolute values to solve problems. Note: Exponents should be integers from –10 to 10 ?(Chapter 8)Use estimation to solve problems. (Ongoing)Add, subtract, and/or multiply polynomial expressions (express answers in simplest form). Chapters 9 Note: Nothing larger than a binomial multiplied by a trinomial.Multiply AND Factor algebraic expressions, including difference of squares and trinomials. (Chapter 9)Simplify/reduce a rational algebraic expression. (Lessons 11-1 to 11-3)Write and solve multi-step equations. ?(Lessons 3-1 to 3-3)Use and/or identify an algebraic property to justify any step in an equation-solving process. (Associative, Commutative, Distributive, Identities, Inverses) (Properties Lesson 2-5- Page 118 for justifying each step) ???Note: Linear equations only.MODULE 1—Operations and Linear Equations & Inequalities?????QuarterDescription1234Interpret solutions to problems in the context of the problem situation. (RT= D ?Mixture problems) (Lesson 3-6)Write and solve a system of linear equations using graphing, substitution, and/or elimination. (Chapter 7)Set up, solve and interpret word problems using systems of equations (Chapter 7)Identify or graph the solution set to a linear inequality on a number line (Lessons 4-1 to 4-3)Write or solve compound inequalities and graph their solution sets on a number line...including absolute value inequalities. (Lesson 4-5 and 4-6)Interpret solutions to inequality problems in the context of the problem situation. (Chapter 4)MODULE 2—Linear Functions and Data OrganizationLINEAR FUNCTIONSQuarterDescription1234Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically. (Incoming skill Lesson 1-4) Extension of material (Lesson 5-3)Determine whether a relation is a function, given a set of points or a graph. (Lesson 5-2)Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table). (Lesson 1-4 and then ongoing)Create, interpret, and/or use the equation, graph, or table of a linear function. (Chapter 6)Translate from one representation of a linear function to another (i.e., graph, table, and equation). (Chapter 6)Identify, describe, and/or use constant rates of change (Chapter 6)Apply the concept of linear rate of change (slope) to solve problems. (Chapter 6)Write or identify a linear equation when given ? the graph of the line,? two points on the line, or? the slope and a point on the line.Note: Linear equation may be in point-slope, standard, and/or slope-intercept form. (Chapter 6)Determine the slope and/or y-intercept represented by a linear equation or graph. (Chapter 6)MODULE 2—Linear Functions and Data OrganizationDATA ORGANIZATION????????????QuarterDescription1234Calculate and/or interpret the range, quartiles, and interquartile range of data. (Incoming skill p. 52-53)Estimate, calculate, analyze ?make predictions based on a circle, line, bar graph, measure of central tendency, box and whiskers, stem and leaf, scatter plots(Incoming skill p. 38-39 Lesson 1-6)Determine equations of best fit lines and make predictions using the established best fit line. (Lesson 6-7)Find probabilities for compound events (e.g., ? nd probability of red and blue, ?nd probability of red or blue) and represent as a fraction, decimal, or percent. (Incoming skill Lessons 2-6 and 2-7)SCASD Additional Advanced Algebra Standards??????????????????????????????????????????????????????????????????????????????????????QuarterDescription1234Add, Subtract, Multiply and divide integers, fractions and decimals WITHOUT a calculator (incoming skill)Set up and solve word problems involving proportions (Lesson 3-4 and 3-5)Identify and Solve Direct Variation problems (Lesson 5-5)Identify and Solve Inverse Variation problems (Lesson 5-6)Know and use the Pythagorean Theorem to find the lengths of the missing sides of a right triangle. (Incoming skill Lesson 3-9) Convert numbers from standard form to scientific notation and vice versa (Lesson 8-2)Identify and interpret exponential growth and decay functions (Lesson 8-7)Finding the axis of symmetry and the vertex of a parabola (Lesson 10-1 and 10-2)Given a quadratic function in standard form y =a^2+bx +c ?(a does not = 0)know how changes in a, b, and c affect the graph. (Lessons 10-1 and 10-2)Find the zeroes, (roots, solve/determine where the parabola crosses the x-axis) by graphing, factoring, completing the square and using the quadratic formula. (Chapter 10)Know and be able to explain the meaning of the Zero Product Property (Lesson 10-4)Find the discriminant and use it to determine the number of solutions (roots, zeros) of a quadratic function ( 10-7) ................
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