MCPS Algebra I Honors Pacing Guide 2016-17 Standards of Learning Suggested Pacing Suggested Projects Topics (days + 2 days for IXL Modules Big Ideas projects each Required Projects: 1st Quarter: Chpt. 2 – The Big Dig quarter) nd Manipulatives 2 Quarter: Chpt. 5 – CSI – How Tall are the Victims 3rd Quarter: Chpt. 6 – (to be added) Calculator Skills 4th Quarter: Chpt. 9 – (to be added)
Unit 1: Pre-Algebra-Verbal SOL A.1 Represent verbal quantitative situations algebraically and evaluate these Translations, Evaluating Expressions 10 days expressions for given replacement values of the variables. and Function Notation
PH Chapter 1 Calculator Skills: I can store a value for Suggested Projects/Activities: a variable. I can use stored Big Ideas: VDOE ESS Evaluating and Simplifying Expressions (SOL A.1) Translating verbal and algebraic values to evaluate a variable expression. VDOE ESS Translate and Evaluate (SOL A.1) expression I can convert Evaluate expressions containing: fractions to decimals and vice Theme Park Tycoon (Write and evaluate expressions based on a hypothetical theme o Absolute Value versa. park) o Square Roots I can access the menu and successfully enter: o Cube Roots IXL Modules: Model real-world/practical o a fraction o absolute value problems with expressions o an exponent B.3, B.7, I.1, I.4 o a square root MANIPULATIVES: o a cube root Algeblocks/Algebra Tiles District Sample Assessment #1 (IA document)
August 2016 Unit 2: Multi-step Equations and SOL A.4 Solve multistep linear equations in two variables, including Properties 15 days a) solving literal equations (formulas) for a given variable; b) justifying steps used in simplifying expressions and solving equations using PH Chapter 2 (Lessons 1-5) field properties and axioms of equality that are valid for the set of real numbers and Calculator Skills: its subsets; and I can use a stored value for a d) solving multistep linear equations algebraically and graphically Big Ideas: specific variable to check my Justifying steps in solving solution for an equation. equations I can graph both sides of an Suggested Projects/Activities: equation and find the point Solving multi-step linear of intersection. equations algebraically, including I can use nSolve to solve an VDOE ESS Cover-Up Problems (SOL A.4) literal equations equation. VDOE ESS Algebra Tiles and Equation Solving (SOL A.4) Solving multi-step linear I can test additional values VDOE ESS Solving Linear Equations (SOL A.4) equations graphically for a variable if nSolve VDOE ESS Solve for the Unknown (SOL A.4) returns a solution of 0. Determining the number of solutions for an equation The Big Dig (Given formulas from Archeologists and forensic scientists, calculate Determining whether a given human physical characteristics) (Chapter 2 Project) number is a solution IXL Modules:
H.1, H.2, H.3, H.4, J.1, J.2, J.3, J.4, J.5, J.6, J.7, J.8, J.9, I.3, S.9
District Sample Assessment # 2
August 2016 Unit 3: Multi-step Inequalities and SOL A.5 Solve multistep linear inequalities in two variables, including Properties 6 days a) solving multistep linear inequalities (in one variable) algebraically and graphically; PH Chapter 3 b) justifying steps used in solving inequalities, using axioms of inequality and Calculator Skills: properties of order that are valid for the set of real numbers and its subsets: *Leave Lessons 3-5, 3-7, and 3-8 until I can access the template of c) solving real-world problems involving inequalities (in one variable) after SOL testing inequality symbols. I can use nSolve to find the endpoint of the solution by Suggested Projects/Activities: Big Ideas: replacing the inequality symbol with an equal sign. ● Solve a multi-step inequality with VDOE ESS Greetings (SOL A.5) I can test for the correct VDOE ESS Inequalities (SOL A.5) one variable and graph the solution inequality symbol by storing ● Justifying steps in solving linear a value and inputting the inequalities inequality. IXL Modules: ● Solving multi-step linear equations algebraically and graphically T.1, T.4, K.1, K.2, K.7, K.8, K.9, K.10, K.11 ● Solving compound inequalities ● Testing possible solutions
District Sample Assessment #3
August 2016 Unit 4: Functions SOL A.7 Investigate and analyze linear function families and their characteristics 12 days both algebraically and graphically, including PH Chapter 4 a) determining whether a relation is a function; b) domain and range; Calculator Skills: e) finding the values of a function for elements in its domain; and Big Ideas: I can graph a function. f) making connections between and among multiple representations of functions ● Function notation I can view the table of a including concrete, verbal, numeric, graphic, and algebraic. ● Function representations graphed function. ● Determining whether a function I can turn on the grid for the Suggested Projects/Activities: exists coordinate plane. ● Domain & range I can change the window. VDOE ESS Functions 1 (SOL A.7) I can use a spreadsheet to VDOE ESS Square Patios (SOL A.7 –includes both linear and quadratic relationships) calculate the range values given the function and VDOE ESS Functions 2 (SOL A.7 – includes both linear and quadratic relationships) domain IXL Modules:
Q.2, Q.4, Q.5, Q.6, Q.7, Q.8, Q.9, Q.10, Q.12
District Sample Assessment #4
August 2016 Unit 5: Linear Equations and SOL A.6 Graph linear equations and linear inequalities in two variables, Inequalities 23 days including a) determining the slope of a line when given an equation of the line, the graph of PH Chapter 5 the line, or two points on the line; and Calculator Skills: b) writing the equation of a line when given the graph of the line, two points on the PH Lesson VA-4 ● I can graph a line written in line, or the slope and a point on the line. slope-intercept form on the graphing calculator. SOL A.7 Investigate and analyze linear function families and their characteristics ● I can graph a line written in Big Ideas: standard form on the both algebraically and graphically, including ● Slope graphing calculator. d) x- and y-intercepts; and ● Direct Variation ● I can graph a vertical line on f) making connections between and among multiple representations of functions the graphing calculator. ● Writing and graphing linear including concrete, verbal, numeric, graphic, and algebraic. ● I can change the trace step. equations ● I can trace a line and plot ● x- and y- intercepts points with integer SOL A.8 Given a situation in a real-world context, analyze a relation to determine ● Line of best fit coordinates on a line that is whether a direct or inverse variation exists, and represent a direct variation graphed. algebraically and graphically and an inverse variation algebraically. ● I can use the trace function to identify the x- and y- intercepts of a line that is SOL A.11 - Collect and analyze data, determine the equation of the curve of best fit graphed. in order to make predictions, and solve real-world problems, using mathematical ● I can enter two or more models. Mathematical models will include linear and quadratic functions. ordered pairs into a spreadsheet and calculate the slope and y-intercept of the line. ● I can access the table of Suggested Projects/Activities: values to identify points on a graphed line when it is available. VDOE ESS The Submarine (SOL A.6) ● I can enter data into a VDOE ESS Slippery Slope (SOL A.6) spreadsheet. VDOE ESS Transformationally Speaking (SOL A.6) ● I can graph the data in a VDOE ESS Transformation Investigation (SOL A.6) spreadsheet. ● I can calculate the line of VDOE ESS Slope-2-Slope (SOL A.6) best fit. VDOE ESS Equations of Lines (SOL A.6) ● I can use the stored equation for the line of best fit to make predictions CSI – How Tall are the Victims? (ti.education activity using scatter plots to determine the height of a victim using his/her foot size) Fast Talker – (Time yourself and classmates reading a tongue twister and make a August 2016 scatter plot)
IXL Modules:
N.6, N.7, R.2, R.4, R.5, R.6, R.7, R.8, S.2, S.3, S.5, S.7, S.8, S.13, S.14, S.17, S.18, S.19
District Sample Assessment #5
August 2016 Unit 6: System of Linear Equations SOL A.4 Solve multistep linear equations in two variables, including and Inequalities 14 days e) solving systems of two linear equations in two variables algebraically and graphically; and PH Chapter 6 f) solving real-world problems involving equations and systems of equations. Calculator Skills: I can graph an inequality in SOL A.5 Solve multistep linear inequalities in two variables, including Big Ideas: two variables. a) solving multistep linear inequalities algebraically and graphically; ● Solving systems of linear equations I can graph a system of b) justifying steps used in solving inequalities, using axioms of inequality and and inequalities algebraically and equations properties of order that are valid for the set of real numbers and its subsets: graphically I can find the point of c) solving real-world problems involving inequalities; and ● Solving systems of linear equations intersection on a system of d) solving systems of inequalities equations. - by graphing, substitution or I can use System Solver to Suggested Projects/Activities: elimination enter and solve a system of ● Determining whether a solution is equations. VDOE ESS Spring Fling Carnival (SOL A.4) valid I can graph a system of VDOE ESS Road Trip (SOL A.4) inequalities. VDOE ESS The Exercise Fields (SOL A.4) I can test a stored ordered VDOE ESS How Much Is That Tune? (SOL A.4) pair (stored for x and y) to determine if it is a solution VDOE ESS Graphing Systems of Inequalities (SOL A.5) to an inequality in two variables. Project on systems of linear equations to be added I can test a stored ordered pair to determine if it is a solution to a system of IXL Modules: inequalities. T.5, T.6,U.2, U.8, U.10, U.14
District Sample Assessment #6 Midterm Exam
August 2016 Unit 7: Laws of Exponents SOL A.1 Represent verbal quantitative situations algebraically and evaluate these 13 days expressions for given replacement values of the variables. PH Chapter 7 SOL A.2 Perform operations on polynomials, including Calculator Skills: a) applying the laws of exponents to perform operations on expressions. Big Ideas: I can use the exponent key ● Simplify expressions using the laws to enter a negative Suggested Projects/Activities: of exponents exponent. VDOE ESS Exponents (SOL A.2) VDOE ESS Scientifically Speaking (SOL A.2)
IXL Modules:
V.1, V.2, V.3, V.4, V.5, V.6, V.7, V.8, V.9, Geometry A.3
District Sample Assessment #7
August 2016 Unit 8: Operations on Polynomials SOL A.2 - Perform operations on polynomials, including and Factoring 11 days b) adding, subtracting, multiplying, and dividing polynomials; and c) factoring completely first- and second-degree binomials and trinomials in one or PH Chapter 8 two variables. Calculator Skills: I can use the factor function Big Ideas: to find the prime ● Simplifying polynomial expressions factorization of a whole number. ● Finding and factoring out the GCF I can locate the x-intercepts ● Completely factoring polynomials on a graph using the trace Suggested Projects/Activities: ● Model factoring function in order to find the factors of a polynomial. VDOE ESS Adding and Subtracting Polynomials Using Algebra Tiles (SOL A.2) I can locate the zeros (x- VDOE ESS Multiplying Polynomials Using Algebra Tiles (SOL A.2) Manipulatives: intercepts) on a graph using the analyze graph function Algebra Tiles or Algeblocks in order to find the factors of a polynomial. I can use the polynomial tools function to identify the zeros in order to find the factors of a polynomial. IXL Modules: I can graph a polynomial with one variable and its Z.1, Z.2, Z.3, Z.4, Z.5, Z.6, Z.7, Z.8, Z.9, Z.10, AA.1, AA.2, AA.3, AA.4, AA.5, AA.6, AA.7, factored form to verify the AA.8, Geometry A.9 factors are correct.
District Sample Assessment #8
August 2016 Unit 9: Radicals and Quadratics SOL A.3 - Express the square roots and cube rubes of whole numbers and the square root of a monomial algebraic expression in simplest radical form. PH Chapter 9 21 days SOL A.4 - Solve multistep quadratic equations in two variables, including PH Lesson 10-2 c) solving quadratic equations algebraically and graphically; and Calculator Skills: f) solving real-world problems involving equations and systems of equations. PH Lesson VA-1 I can graph a quadratic equation on the graphing SOL A.7 - Investigate and analyze quadratic function families and their PH Lessons VA-2 and VA-3 calculator. characteristics both algebraically and graphically, including I can trace the graph of b) domain and range; a quadratic equation to find the PH Lessons 12-2, 12-3, and 12-4 x- and y- intercepts as well as the c) zeros of a function; zeros (roots, solutions). d) x- and y-intercepts; PH Lesson VA-5 and VA-6 I can use the Maximum e) finding the values of a function for elements in its domain; and or Minimum function to find the y-value of the range. f) making connections between and among multiple representations of functions I can use Polynomial including concrete, verbal, numeric, graphic, and algebraic. Big Ideas: Tools to find the roots/solutions Write square root expressions and of a quadratic equation. SOL A.11 - Collect and analyze data, determine the equation of the curve of best fit cube roots in simplest radical form I can work backwards to in order to make predictions, and solve real-world problems, using mathematical find the factors of a quadratic Determining the number of equation by using Polynomial models. Mathematical models will include linear and quadratic functions. solutions for a quadratic equation Tools. Solving and graphing quadratic Suggested Projects/Activities: equations Solving real-world problems VDOE ESS Simplifying Square Roots (SOL A.3) involving quadratic equations VDOE ESS Simply Radical (SOL A.3) VDOE ESS Line of Best Fit (SOL A.11) VDOE ESS Linear Curve of Best Fit (SOL A.11) VDOE ESS Quadratic Curve of Best Fit (SOL A.11) VDOE ESS Square Patios (SOL A.7 – includes both linear and quadratic relationships) VDOE ESS Functions 2 (SOL A.7 – includes both linear and quadratic relationships) VDOE ESS Factoring for Zeros (SOL A.4)
Angry Birds (5 versions) (Create parabolas with flying angry birds)
Project using CBL to be added
August 2016 IXL Modules:
A.7, A.8, EE.1, EE.2, EE.3, Q.2, BB.6 District Sample Assessment #9
August 2016 Unit 10: Statistics/Direct and SOL A.8 Given a situation in a real-world context, analyze a relation to determine Inverse Variation 13 days whether a direct or inverse variation exists, and represent a direct variation algebraically and graphically and an inverse variation algebraically. PH Lesson 11-6 Calculator Skills: SOL A.9 - Given a set of data, interpret variation in real-world contexts, calculate PH Lesson 5-7 and interpret mean absolute deviation, standard deviation, and z-scores. *Make I can enter data into a spreadsheet. sure students can determine how many standard deviations a data element is from PH Concept Byte pg. 581 I can graph the data in a the mean. spreadsheet. PH Lesson VA-7 I can calculate the curve SOL A.10 - Compare and contrast multiple univariate data sets, using (linear or quadratic) of best box-and-whisker plots. *Note that this SOL does not require students to create box- fit. and-whisker plots; it requires students to use them to compare multiple sets of data. Big Ideas: I can use the stored equation for the curve ● Represent direct variation (linear or quadratic) of best Suggested Projects/Activities: algebraically and graphically fit to make predictions. VDOE ESS Direct Variation (SOL A.8) ● Represent inverse variation I can locate the following VDOE ESS Box-and-Whisker Plots (SOL A.10) algebraically (Example – a fulcrum statistics in the list of One VDOE ESS Exploring Statistics (SOL A.9) and lever with weights or a seesaw) Variable Statistics VDOE ESS Calculating Measures of Dispersion (SOL A.9) ● Calculate and interpret mean Mean VDOE ESS z -Scores (SOL A.9) absolute deviation, standard Median VDOE ESS Analyzing and Interpreting Statistics (SOL A.9) deviation, and z-scores Standard deviation ● Compare and contrast box-and- whisker plots IXL Modules:
KK.7, KK.8, N.5
Division Common Simulation *Simulation should be administered at least 3 weeks prior to SOL testing Review, SOL Testing, and Enrichment for remainder of year
August 2016