Revised 8/29/14 Date Topic SOL # Curriculum Pacing Guide ACMS 2014-2015 Algebra 1 Reporting Blooms Category Objective 1st 9Wks 3 Days 3 Days Pre-Assessments Translating A1 Expressions & Operations 24% Synthesis Translate verbal quantitative situations into algebraic expressions A1 Synthesis Translate algebraic expressions into verbal quantitative situations. 3 Days Exponents A2a Analysis Simplify expressions using the laws of exponents. 5 Days Square Roots A3 Analysis Express square roots of a whole number in simplest form. Cube roots A3 Analysis Express the cube root of a whole number in simplest form. Scientific Notation Order of Operations A2a Analysis A1 Analysis A1 Analysis A1 Synthesis Express numbers, using scientific notation, and relate the operations to the laws of exponents. Evaluate algebraic expressions for a given replacement set to include rational numbers. Evaluate expressions that contain absolute value, square roots, and cube roots. Model real-world situations with algebraic expressions in a variety of representations (concrete, pictorial, symbolic, verbal). Simplify expressions and solve equations using the field properties of the real numbers and properties of equality to justify simplification and solution. 2 Days 4 Days 5 Days Properties A4 Equations & Inequalities 36% Evaluate End 1st Interim Revised 8/29/14 5 Days Equations and Inequalities A4 Application Solve multistep linear equations in one variable algebraically and graphically. 1st 6 Weeks Review, Assessment, and Reteach Period 5 Days 5 Days A5 Application Solve multistep linear inequalities in one variable algebraically and graphically. 3 Days A4 Synthesis Solve a literal equation (formula) for a specified variable. 5 Days A4 Evaluate Justify simplifications and solutions using the field properties of real numbers and properties of equality. A5 Evaluate A4 Comprehension A4 A4 Comprehensi on Evaluate Justify steps used in solving inequalities, using axioms of inequality and properties of order that are valid for the set of real numbers. Confirm algebraic solutions to linear equations, using a graphing calculator. Determine if a linear equation in one variable has one, an infinite number, or no solutions. Solve real world problems involving equations. A5 Evaluate Solve real world problems involving inequalities. End of 1st Quarter 2nd 9 Weeks Expressions & Operations 24% Monomials A2 Analysis Simplify monomial expressions and ratios of monomial expressions in which the exponents are integers, using the laws of exponents. A2 Analysis Find products of monomials. 4 Days 4 Days 5 Days 2nd 6 Weeks Review, Assessment, and Reteach Period Revised 8/29/14 Monomials 8 Days A2 A2 Analysis Analysis Find the quotient of monomials, using a monomial divisor. Find the quotient of polynomials, using a monomial divisor. End 2nd Interim 2 Days Polynomials 5 Days 5 Days A2 Analysis Find sums and differences of polynomials. A2 Analysis A2 Analysis Find products of polynomials. The factors will have no more than five total terms (i.e. (4x+2)(3x+5) represents four terms and (x+1)(2x2 +x+3) represents five terms). Find the quotient of polynomials, using monomial divisors. A2 Analysis Find the quotient of polynomials, using binomial divisor. A2 Analysis Find the quotient of polynomials, using a completely factored divisor. 3rd 6 Weeks Review, Assessment, and Reteach Period 4 Days 5 Days A3 Analysis 2 Days A2 Analysis A2 Analysis Express the principal square root of a monomial algebraic expression in simplest form where variables are assumed to have positive values. Model, sums differences, products, and quotients of polynomials with concrete objects and their related pictorial representations. Relate concrete and pictorial manipulations that model polynomial operations to their corresponding symbolic representations. End of 2nd Quarter/Semester 3rd 9Weeks 7 Days 6 Days Factoring A2 Analysis A2 Analysis Factor completely first degree polynomials with integral coefficients. Factor completely second-degree polynomials with integral coefficients Revised 8/29/14 2 Days 8 Days Factoring Statistics A2 Analysis Identify prime polynomials. A2 Comprehension Use the x-intercepts from the graphical representation of the polynomial to determine and confirm its factors. Synthesis Given data, including data in a real-world context, calculate and interpret the mean absolute deviation of a data set. A9 Synthesis A9 Synthesis A9 Synthesis Given data, including data in a real-world context, calculate variance. Given data, including data in a real-world context, calculate and interpret standard deviation. Given data, including data in a real-world context, calculate variance and standard deviation of a data set and interpret the standard deviation. A9 Synthesis Given data, including data in a real-world context, calculate and interpret z-scores for a data set. A9 Synthesis Explain ways in which standard deviation addresses dispersion by examining the formula for standard deviation. A9 Synthesis Compare and contrast mean absolute deviation and standard deviation in a real-world context. A9 Functions & Statisitics 40% End of 3rd Interim 4 Days 4th 6 Weeks Review, Assessment, and Reteach Period 4 Days A9 Evaluate A10 Analysis Analyze descriptive statistics to determine the implications for the real-world situations from which the data derive. Compare, contrast, and analyze data, including data from realworld situations displayed in box-and-whisker plots. Revised 8/29/14 4 Days 5 Days 5 Days Functions Slope A7 Comprehension Identify the domain, range, zeros, and x and y intercepts of a function presented algebraically. A7 Comprehension A7 Application Determine whether a relation, represented by a set of ordered pairs, a table, or a graph is a function. For each x in the domain of f, find f(x). A7 Knowledge A7 Analysis A7 Analysis Identify the domain, range, zeros, and intercepts of a function presented graphically. Detect patterns in data and represent arithmetic and geometric patterns algebraically. Make connections between multiple representations and represent relations and functions using concrete, verbal, numeric, graphic, and algebraic forms. Given one representation, students will be able to represent the relation in another form. Knowledge Describe slope as the rate of change. A6 Comprehension A6 Application A6 Application A6 Analysis A6 Synthesis A6 Evaluate A6 Analysis Recognize and describe a line with a slope that is positive, negative, zero, or undefined. Find the slope of a line, given the graph of a line. Recognize and describe a line with a slope that is positive, negative, zero, or undefined Find the slope of a line, given the coordinates of two points on the line. Find the slope of the line, given the equation of a linear function. Graph linear equations and inequalities in two variables, including those that arise from a variety of practical situations. Use the parent function y = x and describe transformations defined by changes in the slope or y-intercept. Use transformational graphing to investigate effects of changes in equation parameters on the graph of the equation. End of 3rd Quarter A6 Equations & Inequalities 36% Revised 8/29/14 4th 9Weeks 5 Days Writing Equations for Slope A6 Synthesis Write an equation of a vertical line as x = a. A6 Synthesis Write an equation of a horizontal line as y = c. A6 Synthesis Write an equation of a line when given two points on the line whose coordinates are integers. A6 Synthesis Write an equation of a line when given the slope and a point on the line whose coordinates are integers. A6 Synthesis Write an equation of a line when given the graph of a line. Spring Break 3 Days 3 Days Line of Best Fit Variations A11 Functions & Statistics 40% Synthesis A11 Evaluate A11 Synthesis A11 Evaluate A8 Application A8 Application A8 Synthesis Write an equation for a curve of best fit, given a set of no more than twenty data points in a table, a graph, or real-world situation. Make predictions about unknown outcomes, using the equation of the curve of best fit. Design experiments and collect data to address specific, realworld questions. Evaluate the reasonableness of a mathematical model of a real-world situation. Given a situation, including a real-world situation, determine whether a direct variation exists. Given a situation, including a real-world situation, determine whether an inverse variation exists. Write an equation for a direct variation, given a set of data. A8 Synthesis Write an equation for an inverse variation, given a set of data. A8 Synthesis Graph an equation representing a direct variation, given a set of data. Revised 8/29/14 3 Days 2 Days 15 Days Systems of equations Quadratics REVIEW FOR SOL TEST ADMINISTER EXAM/SOL TEST A4 Comprehension Determine whether a system of two linear equations has one solution, no solution, or infinite solutions. A4 Application A4 Application A5 Evaluate A4 Synthesis Given a system of two linear equations in two variables that has a unique solution, solve the system by substitution or elimination to find the ordered pair which satisfies both equations. Given a system of two linear equations in two variables that has a unique solution, solve the system graphically by identifying the point of intersection. Solve systems of linear inequalities algebraically and graphically. Solve real world problems involving systems of equations. A4 Synthesis A4 Evaluate A4 Analysis A4 Analysis A4 Comprehension SOL’s 1–11 Equations & Inequalities 36% Write a system of two linear equations that models a real-world situation. Interpret and determine the reasonableness of the algebraic or graphical solution of a system of two linear equations that models a real-world situation. Solve quadratic equations algebraically and graphically. Identify the roots or zeros of a quadratic function over the real number system as the solution(s) to the quadratic equation that is formed by setting the given quadratic expression equal to zero. Confirm algebraic solutions to quadratic equations, using a graphing calculator. Final review, assessment and reteach period