Grading Period: 1 st Nine Weeks Days to Teach = 44 SOL & Enabling Objectives: Description Text Recommended Activities Time Frame Begin the school year with relationship building activities continue integrating relationship building throughout the school year Activity Ideas PRE-TEST (for Teacher Evaluation & School Improvement: Interactive Achievement) will be released by the division to be administered at a time TBA Begin teaching the 3 rd day of school. DO NOT FEEL BOUND TO THE TEXT BOOK! PLEASE USE ONLINE RESOURCES, APPLETS, & HANDS-ON ACTIVITIES Algebraic Expressions A.1a Translate verbal quantitative situations into algebraic expressions and vice versa. A.1b Model real-world situations w/ algebraic expressions in a variety of representations (concrete, pictorial, symbolic, verbal). A.1c Evaluate algebraic expressions for a given replacement set to include rational numbers. 1-1 1-1 1-2 ESS A.1ad Translate & Evaluate ESS A.1c Evaluating Simplifying Expressions ESS A3a Simplifying Square Roots ESS A3.b Simplify Radical ESS A.1ad Translate & Evaluate unit = 13
A.3a Express square roots of a whole number in simplest form. 2-7 ESS A4b A Mystery to Solve A.3b Express the cube root of a whole number in simplest form. A.1d Evaluate expressions that contain absolute value, square roots, & cube roots. 2-1 Rest =. A.4b Simplify expressions using the field properties of the real numbers and properties of equality to justify simplification 1-4, 1-5, 1-6, justify = 3-5 Solving Linear Equations A.4b Solve equations using the field properties of the real numbers & properties of equality to justify the solution. (review: 3-1, 3-2, 3-3) ESS A.4b a Mystery to Solve Model solving equations = p.127 ESS A.4e Algebra Tiles & Equation Solving for this unit = 12 A.4e Solve multi-step linear equations in one variable. A.4l Determine if a linear equation in one variable has one, an infinite number, or no solutions. 3-4, 3-5 Model p.141 NLVM Algebra Balance Scales NLVM Algebra Balance Scales Negative A.4f Confirm algebraic solutions to linear ESS A.4f Solving Linear Equations
equations using a graphing calculator. Middle School Algebra 1 Pacing Guide A.4a Solve a literal equation (formula) for a specific variable. 3-8 Illuminations Lesson Geology Rocks Equations ESS A.4a solve for Unknown Solving Linear Inequalities A.5a Solve multi-step linear inequalities in one variable A.5b Justify steps used in solving inequalities, using axioms of inequality and properties of order that are valid for the set of real numbers 6-1, 6-2, 6-3 (model p.325) ESS A.5a Inequalities ESS A.5b Greetings Solve inequalities Virtual Lab for this unit = 5 A.5c Solve real-world problems involving inequalities. 6-3 Relations A.7d Represent relations & functions using concrete, verbal, numeric, graphic & algebraic forms. Given one representation, students will be able to represent the relation in another form. 4-3, 4-5 (use set builder notation) ESS A.7d Square Patios for this unit = 10 A.7b Identify the domain, range, zeros & intercepts of a function presented algebraically or graphically. 4-6 ESS A.7b Functions 2 ESS A.7a Functions 1
A.7a Determine whether a relation, represented by a set of ordered pairs, a table, or a graph is a function. A.7c For each x in the domain of f, find f(x). A.7e Detect patterns in data and represent arithmetic and geometric patterns algebraically. 4-4 4-8 Domain and Range Using Graphs NLVM Function Machine Illuminations Lesson Do You Notice Sum Thing? NLVM Choosing Patterns Flex /Remediation 3 Grading Period: 2 nd Nine Weeks Days to Teach = 45 SOL & Enabling Objective: Description Text Recommended Activities Time Frame Slope Math Forum Activity Slope of a Line A.6f Recognize and describe a line with a slope that is positive, negative, zero, or undefined. 5-1 Interactive Activity Slop Slider unit = 6 A.6e Find the slope of a line, given the graph of a line. 5-3 ESS A 6d Submarine
A.6c Find the slope of a line, given the equation of a linear function. A.6d Find the slope of a line, given the coordinates of two points on the line. 5-1 Illuminations Lesson Movement with f(x)s Illuminations Lesson Rise Run Triangles Graphing Linear Equations A.6a Graph linear equations in two variables, including those that arise from a variety of realworld problems. A.6b Use the parent function y = x and describe transformations defined by changes in the slope or y-intercept. A.6h Write an equation of a line when given the graph of a line. pp. 278-279 (incomplete) 5-3 NLVM Line Plotter Line Grapher y=mx + b ESS A.6b Transformationally Speaking Interactive Activity Graphit Illuminations Lesson Trout Pond equation of line unit = 12 A.6g Use transformational graphing to investigate effects of changes in equation parameters on the graph of the equations. 5-3 ESS A.6g Transformation Investigation Seeing math Activity Linear Transformer A.6j Write an equation of a line given the slope and a point on the line whose coordinates are integers. 5-4 ESS A.6i Equations of Lines
A.6i Write an equation of a line when given two points on the line whose coordinates are integers. p. 273 (5-3) ESS A.6i Slippery Slope A.6k Write an equation of a vertical line as x = a ESS A.6k slope 2 slope A.6l Write an equation of a horizontal line as y = c p. 273 (5-3) & p. 287 (5-5) Direct & Inverse Variation A.8a Given a situation, including a real-world situation, determine whether a direct variation exists. A.8c Write an equation for a direct variation, give a set of data. 5-2 ESS a.8a Direct Variation Illuminations Lesson Mow Whole Thing? Interactive Activity Graphit unit = 6 A.8e Graph an equation representing a direct variation, given a set of data. ESS A.8b Inverse Variation A.8b Given a situation, including a real-world situation, determine whether an inverse variation exists. 12-1 A.8d Write an equation for an inverse variation, given a set of data. Exam Review/Semester Exam unit = 6
Solving Systems of Linear Equations A.4h 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. 7-1 ESS A.4h Spring Fling Carnival unit =9 A.4g Given a system of two linear equations in two variables that has a unique solution, solve the system by substitution of elimination to find the ordered pair which satisfies both equations. A.4i Determine whether a system of two linear equations has one solutions, no solution, or infinite solutions. 7-2, 7-3 7-1, 7-2, 7-3 ESS A4.g All.c How Much is that Tune Illuminations Lesson Supply & Demand ESS A.4i Road Trip ESS A.4j2 Exercise Fields A.4j Write a system of two linear equations that models a real-world situation. 7-1, 7-2, 7-3, 7-4 ESS A.5d Graphing System Inequalities A.4k Interpret and determine the reasonableness of the algebraic or graphical solution of a system of two linear equations that models a real-world situation. 7-1, 7-2, 7-3, 7-4 Interactive Activity Linear Inequalities Solving Systems of Linear Inequalities Solve systems inequalities lesson plan
A.5d Solve systems of linear inequalities algebraically and graphically. 7-6 Henrico systems of inequalities resources unit = 4 Flex /Remediation: 4 Grading Period: 3 rd Nine Weeks Days to Teach = 48 SOL & Enabling Objective: Description Text Recommended Activities Time Frame Polynomials (For 8-1) ESS A2a Exponents A.2a Simplify monomial expressions & ratios of monomial expressions in which the exponents are integers, using the laws of exponents. 8-1, 8-2, 8-3 (for 8-2) ESS A2 a Scientifically Speaking (sci. not.) unit = 18 A.2b Model sum & difference of polynomials w/ concrete objects & their related pictorial representations. Sums/Dif = pp. 437-438 Algebra Tiles (see A.2d, A.2e, A.2f) Virtual Algebra Tiles A.2c Relate concrete & pictorial manipulations that model polynomial operations to their corresponding symbolic representations. A.2d Find sums & differences of polynomials. 8-5 ESS A2.d Add Subtract Polynomials Alg Tiles (Algebra Tiles (see A.2d, A.2e, A.2f)
A.2b Model products of polynomials w/ concrete objects & their related pictorial representations. pp. 450-451 NLVM Algebra Tiles A.2c Relate concrete & pictorial manipulations that model polynomial operations to their corresponding symbolic representations. A.2e Find the products of polynomials. The factors will have no more that five total terms. 8-6, 8-7 ESS A.2e Multiply Poly With Alg Tiles A.2b Model quotients of polynomials w/ concrete objects & related pictorial representations. pp. 416, 667 ESS A2.f Divide Poly with Alg. Tiles A.2c Relate concrete & pictorial manipulations that model polynomial operations to their corresponding symbolic representations. A.2f Find the quotient of polynomials, using a monomial or binomial divisor, or a complete factored divisor.. Factoring Polynomials A.2g Factor completely first-and second-degree polynomials w/ integral coefficients A.2h Identify prime polynomials 9-1, 9-2, 9-3, 9-4, 9-5, 9-6 ESS A.2g Factoring NLVM Algebra Tiles unit = 13
A.2i Use the x-intercepts from the graphical representation of the polynomial to determine & confirm its factors Finding Roots of Expressions & Quadratic Equations A.3c Express the principal square root of a monomial algebraic expression in simplest form where variables are assumed to have positive values. 11-1 Cutting Corners solving quadratic equations lesson unit = 8 A.4c Solve quadratic equations. A.4d Identify the roots or zeros of a quadratic function over the real number system as the solutions to the quadratic equation that is formed by setting the given quadratic expression equal to zero. 10-4 Solving quadratic equation practice ESS A4.d Factoring for Zeros A.4f Confirm algebraic solutions to quadratic equations, using a graphing calculator. 10-1, 10-2 Statistics Curve of Best Fit Optional Line of best fit A.11a Write an equation for a curve of best fit, given a set of no more that twenty data points 5-7 pp. 729-730 ESS A.11d Line of Best Fit ESS A11a Linear Curve Best Fit unit = 6
in a table, a graph, or real-world situation. A.11b Make predictions about unknown outcomes, using the equation of the curve of best fit. A.11c Design experiments and collect data to address specific, real-world questions. A.11d Evaluate the reasonableness of a mathematical model of a real-world situation. 13-1 Interactive Activity Regression ESS A.11b Quadratic Curve Best Fit ESS A4c A11c How Much is that Tune Get a Half Life curve of best fit lesson plan Flex /Remediation 3 Grading Period: 4 th Nine Weeks Days to Teach = 43 SOL & Enabling Objective: Description Text Recommended Activities Time Frame Statistics ESS A.9a Analyzing Interpreting Stats A.9a Analyze descriptive statistics to determine the implications for the real-world situations from which the data drive. Interactive Activity Measures Interactive Activity Normal Distribution unit = 17 A.9b Given data, including data in a real-world context, calculate & interpret the mean absolute deviation of a data set. ESS A9.b Exploring Stats ESS A.9c Calculating Measures Dispersion
A.9c Given data, including data in a real-world context, calculate variance & standard deviation of a data set & interpret the standard deviation. TI z-score activity ESS A9.d Z-scores Z-score worksheet Z-score video A.9d Given data, including data in a real-world context, calculate & interpret z-score for a data set. A.9e Explain ways in which standard deviation addresses dispersion by examining the formula for standard deviation. A.9f Compare & contrast mean absolute deviation & standard deviation in real-world context. A.10 Compare, contrast,& analyze data, including data from real-world situations displayed in box-and-whisker plots. 13-5 Z scores activity PA mean absolute deviation lesson plan Atlanta Schools mean absolute deviation SAD to MAD Annenberg Media mean absolute deviation ESS A10 Box-and Whisker Plots Illuminations Activity Box Plotter Illuminations lesson plan_nba & box plots POST-TEST (for Teacher Evaluation & School Improvement use same test as PRE-TEST 1 day SOL Review & Testing: 23 Days Final Exam Review & Testing 2
RECOMMENDED WEBSITES for additional lesson plans, activities, virtual manipulatives, and applets: Illuminatinos_NCTM Henrico Algebra Resources Algebra 1 resources Algebra Bits Project interactive Suffolk Algebra Resources Texas Instruments Activities National Library of Virtual Manipulatives NVLM Florida lesson plans Jefferson Lab Sol Review Algebra 1: Math Cross Walk 2001 and 2009 SOLs Changes to the reporting categories for Algebra 1 sol test: Now there are 3 reporting categories instead of 4. Relations & functions and statistics have been combined into 1 strand. Also, the Algebra 1 Formula Sheet has been revised. 2001 2009 Reporting Category 2009 SOL # items % of test # of items % of test Expressions & A.1, A.2a-c, A.3 12 24% 12 24% Operations Equations & A.4a-f, A.5a-d, A6 a- 18 36% 18 36% Inequalities b Functions & Statistics A.7a-f, A.8, A.9, A.10, A.11 20 40% 20 40%
Middle School Alg. 1: SOL CONCEPT OVERVIEW 1 st 9 weeks = 44 Algebraic Expressions Solving Linear Equations Solving Linear Inequalities Relations 13 12 5 10 2 nd 9 weeks = 45 Slope Graphing Linear Equations Direct & Inverse Variation Solving Systems of Linear Equations Solving Systems of Linear Inequalities 7 11 6 12 4
3 rd 9 weeks = 48 Polynomials Factoring Polynomials Find Roots of Expressions & Quadratic Equations Statistics Curve of Best Fit 18 13 8 5 4 th 9 weeks = 43 Statistics SOL Review & Testing 17 23