Updated 9/4/13 – Melanie Breitbach Algebra 2nd Semester Pacing Unit Section and Learning Targets Review content from Algebra 1A Sep/Oct 1-5 Assessment – Review Tests for Chapters 1, 2, 4, and 5 6.4 Point-Slope Form and Writing Linear Equations I will be able to graph and write linear equations using point-slope form. I will be able to write a linear equation using data. Oct/Nov 6 P.E. -Operations with real numbers -Order of Operations -Solving linear equations -Solving and applying proportions -Graphing relations -Function rules -Point-Slope form 6.5 Parallel and Perpendicular Lines I will be able to determine whether lines are parallel. I will be able to determine whether lines are perpendicular. -Parallel Lines -Perpendicular Lines -Negative Reciprocal 6.6 Scatter Plots and Equations of Lines I will be able to write an equation for a trend line and use it to make predictions. I will be able to write the equation for a line of best fit and use it to make predictions. -Line of Best Fit -Correlation Coefficient Assessment – Quiz 6.4-6.6 3.6 Absolute Value Equations and Inequalities I will be able to solve equations that involve absolute value. I will be able to solve inequalities that involve absolute value. 6.7 Graphing Absolute Value Equations I will be able to translate the graph of an absolute value equation. Assessment – Quiz 3.6-6.7 -Absolute value equation -Translation 1.1.b Solve problems that can be represented by linear functions, equations, and inequalities. 1.4.b Write and graph an equation for a line given the slope and the y-intercept, the slope and a point on the line, or two points on the line, and translate between forms of linear equations. 1.4.c Identify and interpret the slope and intercepts of a linear function, including equations for parallel and perpendicular lines. 1.4.e Describe how changes in the parameters of linear functions and functions containing an absolute value of a linear expression affect their graphs and the relationships they represent. 1.6.d Find the equation of a linear function that best fits bivariate data that are linearly related, interpret the slope and y-intercept of the line, and use the equation to make predictions. 1.6.e Describe the correlation of data in scatterplots in terms of strong or weak and positive or negative. Assessment - Unit 6 Test 7.1 Solving Systems by Graphing I will be able to solve systems by graphing. I will be able to analyze special types of systems. 7.2 Solving Systems Using Substitution I will be able to solve systems using substitution. Assessment – Quiz 7.1-7.2 7.3 Solving Systems Using Elimination I will be able to solve systems by adding or subtracting. I will be able to multiply first when solving systems. Dec/Jan 7 7.4 Applications of Linear Systems I will be able to write systems of linear equations. -System of linear equations -Solution to a system of linear equations -No solution -Infinitely many solutions -Substitution Method 1.1.c Solve problems that can be represented by a system of two linear equations or inequalities. 1.4.d Write and solve systems of two linear equations and inequalities in two variables. -Elimination Method -Linear Inequality -Solutions of an inequality Assessment – Quiz 7.3-7.4 7.5 Linear Inequalities I will be able to graph linear inequalities. I will be able to write and use linear inequalities when modeling real-world situations. 7.6 Systems of Linear Inequalities I will be able to solve systems of linear inequalities by graphing. I will be able to model real-world situations using systems of linear inequalities. Assessment – Quiz 7.5-7.6 Assessment - Unit 7 Test 9.1 Adding and Subtracting Polynomials I will be able to describe polynomials. I will be able to add and subtract polynomials. Feb 9 9.2 Multiplying and Factoring I will be able to multiply a polynomial by a monomial. I will be able to factor a monomial from a polynomial. Assessment – Quiz 9.1-9.2 9.3 Multiplying Binomials I will be able to multiply binomials using FOIL. -System of Linear Inequalities -Solution of a system of linear inequalities -Monomial -Degree of monomial -Polynomial -Standard form of a Polynomial -Degree of a Polynomial -Binomial -Trinomial 1.2.e Use algebraic properties to factor and combine like terms in polynomials. 1.2.f Add, subtract, multiply, and divide polynomials. I will be able to multiply trinomials by binomials. 9.4 Multiplying Special Cases I will be able to find the square of a binomial. I will be able to find the difference of squares. Assessment – Quiz 9.3-9.4 9.5 Factoring Trinomials of the type 𝒙𝟐 + 𝒃𝒙 + 𝒄 I will be able to factor trinomials. 9.6 Factoring Trinomials of the type 𝒂𝒙𝟐 + 𝒃𝒙 + 𝒄 I will be able to factor trinomials of the type 𝑎𝑥 2 + 𝑏𝑥 + 𝑐 Assessment – Quiz 9.5-9.6 Mar/Apr – Review and Prep for Algebra EOC Assessment - Unit 9 Test 10.1 Exploring Quadratic Graphs I will be able to graph quadratic functions of the form 𝑦 = 𝑎𝑥 2 . I will be able to graph quadratic functions of the form 𝑦 = 𝑎𝑥 2 + 𝑐. -Quadratic Function -Standard form of a quadratic function -Parabola -Axis of symmetry -Vertex -Minimum -Maximum 10.2 Quadratic Functions I will be able to graph quadratic functions of the form 𝑦 = 𝑎𝑥 2 + 𝑏𝑥 + 𝑐. I will be able to graph inequalities. Assessment – Quiz 10.1-10.2 10.3 Finding and estimating Square roots I will be able to find square roots. I will be able to estimate and use square roots. Apr/May 10 10.4 Solving Quadratic Equations I will be able to solve quadratic equations by graphing. I will be able to solve quadratic equations using square roots. Assessment – Quiz 10.3-10.4 10.5 Factoring to Solve Quadratic Equations I will be able to solve quadratic equations by factoring. 10.6 Completing the Square I will be able to solve quadratic equations by completing the square. -Square Root -Principal square root -Negative square root -Radicand -Perfect squares -Quadratic Equation -Standard form of a quadratic Equation -Zero-Product Property -Completing the Square 1.1.d Solve problems that can be represented by quadratic functions and equations. 1.5.a Represent a quadratic function with a symbolic expression, as a graph, in a table, and with a description, and make connections among the representations. 1.5.b Sketch the graph of a quadratic function, describe the effects that changes in the parameters have on the graph, and interpret the xintercepts as solutions to a quadratic equation. 1.5.c Solve quadratic equations that can be factored as (ax + b)(cx + d) where a, b, c, and d are integers. 1.5.d Solve quadratic equations that have real roots by completing the square and by using the quadratic formula. 10.7 Using the Quadratic Formula I will be able to use the quadratic formula when solving quadratic equations. I will be able to choose an appropriate method for solving a quadratic equation. Assessment - Unit 10 Test -Quadratic Formula