* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Alg1_Hon_CM
Survey
Document related concepts
History of mathematics wikipedia , lookup
Foundations of mathematics wikipedia , lookup
Line (geometry) wikipedia , lookup
Recurrence relation wikipedia , lookup
History of mathematical notation wikipedia , lookup
Fundamental theorem of algebra wikipedia , lookup
Laws of Form wikipedia , lookup
Elementary algebra wikipedia , lookup
List of important publications in mathematics wikipedia , lookup
Partial differential equation wikipedia , lookup
System of polynomial equations wikipedia , lookup
System of linear equations wikipedia , lookup
Transcript
Revised 7/19/13 Algebra 1 Honors Curriculum Map 2013-14 School Year The Standards for Mathematical Practice describe ways in which developing student practitioners of the discipline of mathematics increasingly ought to engage with the subject matter as they grow in mathematical maturity and expertise throughout the elementary, middle and high school years. Designers of curricula, assessments, and professional development should all attend to the need to connect the mathematical practices to mathematical content in mathematics instruction. http://www.corestandards.org/Math/Practice Course Description and ELA Standards: http://www.cpalms.org/Courses/PublicPreviewCourse2.aspx During the 2013-2014 school year Florida will be transitioning to the Common Core State Standards for Mathematics. The content standards for Algebra 1 are based upon these new standards; however, during this transition year students will be assessed using the Algebra EOC for Algebra aligned with the Next Generation Sunshine State Standards. For this reason, instruction should include a blend of CCSS and the NGSSS. The timeframes listed on this calendar are estimates. You may need to adjust some of them from time to time based on data to meet the needs of your students as some concepts may take less time and some may take more time. The State Algebra 1 EOC Assessment will be administered May 12-16, 2014. If possible, teachers may want to try to complete content instruction at a quicker pace than listed below. Florida Continuous Improvement Model (FCIM) Mini Lessons are available on the Secondary Mathematics Moodle Site: http://learn.pasco.k12.fl.us/course/view.php?id=163 The goal is to use the FCIM lesson as a review after the standard has already been taught in the classroom. Each of the lessons follow the gradual release model (I Do, We Do, You Do) and have collaborative structures embedded throughout. Algebra 1 EOC Assessment Practice Resources: Algebra Nation an Algebra EOC preparation tool - http://www.algebranation.com/ Florida Virtual Algebra 1 EOC Materials www.flvs.net/eoc - click on Algebra Escambia County has developed some reviews for the Math EOC exams – http://ecsd-fl.schoolloop.com/EOCReviews Algebra 1 FCIM Lessons (on Secondary Mathematics Moodle) Algebra 1 EOC Practice Test (on Secondary Mathematics Moodle) FCAT Explorer (Geometry EOC) – see school technology www.focus.florida-achieves.com FCAT Explorer Florida Achieves Focus mini assessments – see school technology specialist www.focus.florida-achieves.com Prentice Hall Algebra 1 Adopted Textbook: practice end of course test p. 628; Online Textbook Resources (Click Interactive Digital Path then “tests” at top. Practice Benchmark and EOC Tests available; Teacher Resources Link: Choose “Progress Monitoring” to find summative assessments and State Practice Test) Page 1 of 27 Revised 7/19/13 Common Core State Standards Math Resources: www.cpalms.org or www.floridastandards.org (Florida standards, course descriptions and resource site) www.corestandards.org (Common Core Standards Webpage) www.ccsstoolbox.org (Resources for CCSS implementation) www.parcconline.org (PARCC assessment information) http://map.mathshell.org/materials/stds.php (Mathematics tasks and assessment resources) www.Mathedleadership.org (Professional resources for math teachers) www.Insidemathematics.org (Professional resources for math teachers) http://illuminations.nctm.org/ (Professional resources for math teachers) http://mathpractices.edc.org/ (8 Math practices - information and tasks) www.teachingchannel.org/ (Common Core Videos) http://katm.org/wp/wp-content/uploads/flipbooks/High-School-CCSS-Flip-Book-USD-259-2012.pdf (Provides information and instructional strategies that further describe the standards). Page 2 of 27 Revised 7/19/13 Algebra 1 Honors Pacing Guide 2013-14 School Year The suggested timeframes listed on this calendar are estimates. As a classroom teacher, please adjust the times provided in order to best meet the needs of your students. Any differences between the Algebra I Regular Curriculum Map and this Curriculum Map are highlighted in green. NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts. Unit Name Open for B.O.Y Assessments and establishing procedures (4 days) Unit A: Foundations of Algebra – (13 days) Unit B: Solving Equations – (17 days) Unit C: Solving Inequalities – (14 days) Absolute Value Equations and Inequalities Unit D: Introduction to Functions – (14 days) Unit E: Linear Functions – (22 days) Review and Semester Exam Unit F: Systems of Equations and Inequalities – (13 days) Unit G: Exponents – (12 days) Unit H: Polynomials and Factoring – Chapter 8 (15 days) Unit I: Quadratic Functions and Equations – Chapter 9 (13 days) Unit J: Radical Expressions – (9 days) Unit K: Rational Expressions & Functions - (12 days) End of Course Review/Exam (10 days) Unit L: Curriculum Extension or Catch-Up (if possible) (11 days) Estimated Timeframe for Instruction and Assessment August 19 – August 22 August 24 – September 11 September 12 – October 4 October 7 – October 25 Note: 1st Quarter Ends October 18 October 28 – November 15 November 18 – December 20 Note: 2nd Quarter Ends December 20 January 7 - January 24 January 27 – February 11 February 12 – March 5 March 6 – April 1 Note: 3rd Quarter Ends March 13 April 2 – April 15 April 16 –May 2 May 5 – May 16 (Algebra 1 EOC Exam Window is May 12 - May 16) May 19 – June 3 (After EOC Exam) Note 4th quarter ends June 3 Page 3 of 27 Revised 7/19/13 Algebra 1 End-Of-Course Exam Appendix B Sorted by Reporting Categories/Textbook Section Number Section Number 4-5, 4-6 4-6 Ch 4 2-1 to 2-4 2-5 3-1 to 3-4, 3-6 2-1 to 2-5, 3-2 to 3-7 5-3 to 5-5 4-4, 5-3 to 5-5 5-1, 5-3 to 5-5 5-3 to 5-6 5-1, 5-7 5-3, 6-5 6-1 Benchmark NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts. Functions, Linear Equations, and Inequalities: 55% of test MA.912.A.2.3 Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions. (Also assesses MA.912.A.2.13) MA.912.A.2.4 Determine the domain and range of a relation. (Also assesses MA.912.A.2.13) MA.912.A.2.13 Solve real-world problems involving relations and functions. (Assessed with MA.912.A.2.3 and MA.912.A.2.4) MA.912.A.3.1 Solve linear equations in one variable that include simplifying algebraic expressions. (Also assesses MA.912.A.3.2) MA.912.A.3.3 Solve literal equations for a specified variable. MA.912.A.3.4 Solve and graph simple and compound inequalities in one variable and be able to justify each step in a solution. MA.912.A.3.5 Symbolically represent and solve multi-step and real world applications that involve linear equations and inequalities. MA.912.A.3.7 Rewrite equations of a line into slope-intercept form and standard form. (Assessed with MA.912.A.3.10) MA.912.A.3.8 Graph a line given any of the following information: a table of values, the x- and y-intercepts, two points, the slope and a point, the equation of the line in slope-intercept form, standard form, or point-slope form. (Also assesses MA.912.A.3.12) MA.912.A.3.9 Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line. (Also assesses MA.912.A.3.12) MA.912.A.3.10 Write an equation of a line given any of the following information: two points on the line, its slope and one point on the line, or its graph. Also, find an equation of a new line parallel to a given line, or perpendicular to a given line, through a given point on the new line. (Also assesses MA.912.A.3.7, MA.912.A.3.12, and MA.912.G.1.4) MA.912.A.3.11 Write an equation of a line that models a data set and use the equation or the graph to make predictions. Describe the slope of the line in terms of the data, recognizing that the slope is the rate of change. (Also assesses MA.912.A.3.12) MA.912.A.3.12 Graph a linear equation or inequality in two variables with or without graphing technology. Write an equation or inequality represented by a given graph. (Assessed with MA.912.A.3.8, MA.912.A.3.9, MA.912.A.3.10, and MA.912.A.3.11) MA.912.A.3.13 Use a graph to approximate the solution of a system of linear equations or inequalities in two variables with or without technology. (Assessed with MA.912.A.3.14.) Item Type MC, FR MC, FR MC, FR MC MC MC, FR MC MC, FR MC, FR MC, FR Page 4 of 27 Revised 7/19/13 Section Number 6-1 to 6-3 6-4, 6-6 5-1, 5-6 9-4 2-7 to 2-10 10-2 10-3 9-1, 9-2 9-4, 9-6 Ch 9, 10.1 3-5, 3-8 3-8 Benchmark NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts. MA.912.A.3.14 Solve systems of linear equations and inequalities in two and three variables using graphical, substitution, and elimination methods. (Also assesses MA.912.A.3.13 and MA.912.3.15.) MA.912.A.3.15 Solve real-world problems involving systems of linear equations and inequalities in two variables. (Assessed with MA.912.A.3.14) MA.912.G.1.4 Use coordinate geometry to find slopes, parallel lines, perpendicular lines, and equations of lines. (Assessed with MA.912.A.3.10) Rationals, Radicals, Quadratics, and Discrete Mathematics: 25% of Test MA.912.A.1.8 Use the zero product property of real numbers in a variety of contexts to identify solutions to equations. (Assessed with MA.912.A.7.2) MA.912.A.5.4 Solve algebraic proportions . MA.912.A.6.1 Simplify radical expressions. (Assessed with MA.912.A.6.2) MA.912.A.6.2 Add, subtract, multiply, and divide radical expressions (square roots). (Also assesses MA.912.A.6.1) MA.912.A.7.1 Graph quadratic equations with and without graphing technology. (Also assesses MA.912.A.7.8) MA.912.A.7.2 Solve quadratic equations over the real numbers by factoring and by using quadratic formula. (Also assesses MA.912.A.1.8 and MA.912.A.7.8) MA.912.A.7.8 Use quadratic equations to solve real-world problems. (Assessed with MA.912.A.7.1 and MA.912.A.7.2) MA.912.D.7.1 Perform set operations such as union and intersection, complement, and cross product. Ch 7 MA.912.D.7.2 Use Venn diagrams to explore relationships and patterns and to make arguments about relationships between sets. Polynomials: 20% of Test MA.912.A.4.1 Simplify monomials and monomial expressions using the laws of integral exponents. 8-1 to 8-4 MA.912.A.4.2 Add, subtract, and multiply polynomials. 8-5 to 8-8 MA.912.A.4.3 Factor polynomial expressions. (Also assesses MA.912.A.5.1) Concept MA.912.A.4.4 Divide polynomials by monomials. Byte p. 538 2-6, MA.912.A.5.1 Simplify algebraic ratios. (Assessed with MA.912.A.4.3) 11-1 PH Alg I Honors only Item Type MC, FR MC, FR MC MC MC, FR MC, FR MC, FR MC, FR MC, FR MC MC Page 5 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Algebra 1 Honors, 2013-14 (A) Foundations for Algebra 13 Know: Understand: There are properties and procedures to evaluate There are properties related to algebra that algebraic expressions. must be followed. Do: Write and evaluate algebraic expressions for a given value. The order of operations needs to be followed when evaluation expressions. Simplify expressions using the order of operations. Real numbers can be classified, graphed, and compared. Classify, graph, and compare real numbers. There are rules for operations on real numbers. Add, subtract, multiply, and divide real numbers. The Distributive Property can be used to simplify expressions. Simplify expressions using the Distributive Property. Tables and mental math can be used to solve equations. Solve equations using tables and mental math. Tables and graphs can be used to describe relationships. Describe relationships using tables and graphs. Page 6 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Key Learning: Unit Essential Question: Concept: Benchmark(s): Variables and Prereq for Expressions MA.912.A.3 Algebra 1 Honors, 2013-14 (A) Foundations for Algebra 13 There are properties related to algebra that must be followed. How are properties related to algebra? Lesson Essential Questions: 1. How is an algebraic expression different from a numerical expression? 2. How do I use order of operations to evaluate an expression? Lesson Essential Questions: 3. How do I classify, graph, and compare real numbers? Concept: Real Numbers and the Number Line Benchmark(s): MA.912.D.7.2 Concept: Properties and Operations of Real Numbers Benchmark(s): Lesson Essential Questions: MA.912.A.3.2 4. Why are properties of real numbers, such as Commutative and MACC.912.REI.1.1 Associative Properties, useful? 5. How do I add, subtract, multiply, and divide real numbers? 6. How do I use the distributive property to simplify expressions? Concept: Introduction to Equations Concept: Patterns, Equations, and Graphs Benchmark(s): MA.912.A.10.1 Lesson Essential Questions: 7. How do I solve an equation using a table and mental math? Benchmark(s): MA.912.A.10.1 Lesson Essential Questions: 8. Why is it useful to describe a relationship using a table, an equation, and a graph? Vocabulary: quantity, variable, algebraic expression, numerical expression, power, exponent, base, simplify Vocabulary: square root radicand, radical, perfect square, set, element of a set, subset, rational numbers, natural numbers, whole numbers, integers, irrational numbers, real numbers, inequality Vocabulary: equivalent expressions, deductive reasoning, counterexample, absolute value, opposites, additive inverses, multiplicative inverse, reciprocal, Associative, Commutative, and Distributive Properties, term, constant, coefficient, like terms Vocabulary: equation, open sentence, solution to an equation Vocabulary: inductive reasoning Additional Information: Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 1-1 through 1-9 Manipulatives/Resources: I Have Who Has for variables and expressions, Add Lo and Integer War games (NCTM Middle Grades Activities Book 6-8), United Streaming Videos, Brainpop.com, Venn Diagram to classify real numbers, number lines, word wall, +/- counters, graphing calculators, http://www.math.tamu.edu/~snite/M141CalcVideos.html (graphing calculator tutorial), vocabulary pocket book (foldable), math journals Dinah Zike’s Big Book of Math (concept map, vocabulary book, shutter fold, four tab book, and layered book) NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts. Page 7 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Algebra 1 Honors, 2013-14 (B) Solving Equations 17 Know: There is a process to solve multi-step equations. Understand: There are procedures to follow to solve equations. Do: Solve multi-step equations. Rewrite literal equations for a given variables. Literal equations can be solved for a given variable. Ratios and rates can be used in unit conversions. Find ratios and rates. Convert units and rates. Solve and apply proportions. Missing lengths of similar figures can be found by using proportions. Percent problems can be solved using proportions and percent equations. Linear and non-linear measurements have a relative error that can be calculated. Find missing lengths in similar figures. Use similar figures to measure indirectly. Solve percent problems using proportions and percent equations. Find the percent change for a situation. Percents are used to compare estimated or measured values to actual or exact values. Find the relative error in linear and non-linear measurements. Use percents to compare estimated or measured values to actual or exact values. Page 8 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Key Learning: Unit Essential Question: Algebra 1 Honors, 2013-14 (B) Solving Equations 17 There are procedures to follow to solve equations. What procedures should I follow to solve equations? Concept: Solving Multi-Step Equations Benchmark(s): MA.912.A.3.1 MACC.912.REI.3 MA.912.A.3.2 MACC.912.REI.1.1 MA.912.A.3.5 MACC.912.REI.2.3 MA.912.A.10.3 Benchmark(s): MA.912.A.3.3 MACC.912.A.CED.4 Benchmark(s): MA.912.A.5.4 MA.912.A.5.1 Lesson Essential Questions: 1. How do I solve multi-step equations? Vocabulary: equivalent equations, addition property of equality, subtraction property of equality, isolate, inverse operations, multiplication property of equality, division property of equality, identity Lesson Essential Questions: 2. How do I re-write a literal equation for a given variable? Lesson Essential Questions: 3. How can I use ratios, rates, and proportions to solve problems in the real-world? Vocabulary: literal equation, formula Benchmark(s): Prereq for MA.912.A.5 Lesson Essential Questions: 4. How do I calculate percent and percent change of a number? 5. How can I use percents to compare estimated or measured values to actual or exact values? Concept: Literal Equations Concept: Ratios, Rates, Conversion, Proportions, and Similar figures Concept: Percent and Percent Change Vocabulary: Ratio, rate, unit rate, conversion factor, unit analysis, proportion, cross products, cross products property, similar figures, scaled drawing, scale, scale model Vocabulary: Percent change, percent increase, percent decrease, relative error, percent error Additional Information: Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 2-1 through 2-10 Manipulatives/Resources: Pasco Performance Tasks: Stop That Plane, KC Flyers, Crabby Cat; Equation puzzles, equation bingo, algebra tiles, vocabulary pocket book (foldable), math journal, word wall, United Streaming Videos, Brainpop.com, Dinah Zike’s Big Book of Math (three tab Venn diagram, folded chart, shutter fold) NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts. Page 9 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Algebra 1 Honors, 2013-14 (C) Solving Inequalities 15 Know: Inequalities can be written, solved and graphed. Understand: Relationships between quantities that are not equal can be represented and solved. Do: Write, solve, and graph inequalities. Work with sets, unions, and intersections. Unions and intersections are operations used with sets. The words ‘and’ and ‘or’ indicate different compound inequalities. Solve and graph inequalities containing the words ‘and’ and ‘or’. Solve and graph equations containing absolute values. Absolute value equations can have at most two solutions. Page 10 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Key Learning: Unit Essential Question: Algebra 1 Honors, 2013-14 (C) Solving Inequalities 14 Relationships between quantities that are not equal can be represented and solved. How can I represent relationships between quantities that are not equal and solve them? Concept: Inequalities and Their Graphs, Solving Inequalities Lesson Essential Questions: 1. How do I write, solve, and graph inequalities? Vocabulary: solution of an inequality, equivalent inequalities Lesson Essential Questions: 2. How do I work with sets, unions, and intersections? Vocabulary: union, intersection, negation sign Concept: Working with Sets and Unions and Intersections of Sets Concept: Compound Inequalities Concept: Absolute Value Equations and Inequalities Benchmark(s): MA.912.A.3.4 MACC.912.REI.2.3 MA.912.A.3.12 MACC.912.REI.2.3 MA.912.A.3.5 MACC.912.REI.2.3 MA.912.A.10.3 Benchmark(s): MA.912.D.7.1 MA.912.D.7.2 Benchmark(s): Lesson Essential Questions: MA.912.A.3.4 3. How do I solve and graph inequalities containing the words MACC.912.REI.2.3 ‘and’ or ‘or’? Benchmark(s): Lesson Essential Questions: Prereq for 4. How is solving an equation with an absolute value similar to MA.912.A solving other equations? (MA.912.A.3.4 5. How is solving an absolute value inequality similar to solving MA.912.A.3.5 an absolute value equation? MA.912.A.3.6) MACC.912.REI.2.3 Additional Information: Note: The EOC assessment may also use the negation sign with sets. Supplement when needed. Vocabulary: compound inequality Vocabulary: Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 3-1 through 3-7 Manipulatives/ Resources: Number line, Venn diagrams, vocabulary pocket book, math journal, word wall, United Streaming Videos, Brainpop.com, Dinah Zike’s Big Book of Math (three tab Venn diagram, folded chart, shutter fold) NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts. Page 11 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Algebra 1 Honors, 2013-14 (D) Introduction to Functions 14 Know: Mathematical relationships can be graphed. Understand: Functions can be represented and described. Linear and non-linear functions represent patterns. Do: Represent mathematical relationships using graphs. Identify and represent patterns that describe linear and non-linear functions. Some relations are functions. Determine whether a relation is a function. An arithmetic sequence can be represented using function notation. Use function notation to represent the patterns in an arithmetic sequence. Page 12 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Key Learning: Unit Essential Question: Algebra 1 Honors, 2013-14 (D) Introduction to Functions 14 Functions can be represented and described. How can I represent and describe functions? Concept: Using graphs to relate to quantities Lesson Essential Questions: 1. How can I represent mathematical relationships using graphs? Benchmark(s): Prereq for MA.912.A.2.3 MACC.912.F.IF.2 MACC.912.F.IF.3 Concept: Benchmark(s): Patterns of linear and MA.912.A.2.3 non-linear functions MACC.912.F.IF.2 MACC.912.F.IF.3 Vocabulary: Lesson Essential Questions: Vocabulary: 2. How do I identify and represent patterns for linear and non-linear dependent variable, functions? independent variable, input, output, function, linear function, non-linear function Concept: Benchmark(s): Lesson Essential Questions: Vocabulary: Graphing a writing a MA.912.A.2.3 3. Why is it useful to write, graph, and solve equations that continuous graph, discrete function rule MACC.912.F.IF.2 represent functions? graph MACC.912.F.IF.3 MA.912.A.10.2 MA.912.A.2.13 Concept: Benchmark(s): Lesson Essential Questions: Vocabulary: Formalizing MA.912.A.2.3 4. How do I determine whether a relation is a function? relation, domain, range, relations and MACC.912.F.IF.2 5. How can I use function notation to represent the patterns in an vertical line test, function functions MACC.912.F.IF.3 arithmetic sequence? notation, sequence, term, MA.912.A.2.4 arithmetic sequence, MACC.912.F.IF.2 common difference MACC.912.F.IF.3 MA.912.A.2.13 Additional Information: Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 4-1 through 4-7 Manipulatives/Resources: NCTM Navigations from Stories to Graphs and From Graphs to Stories, math journal, word wall, United Streaming Videos, Brainpop.com, Dinah Zike’s Big Book of Math (two tab book, three tab book, folded chart, pyramid fold) NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts. Page 13 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Algebra 1 Honors, 2013-14 (E) Linear Functions 22 (Note: Days allow for review and the Semester Exam) Know: Slope is the same as rate of change. Understand: The equation of a line gives me information. There are three main forms of linear equations, each having its own purpose (slope-intercept form, standard form, and point-slope form). Non-vertical parallel lines have the same slope; perpendicular lines have slopes that are opposite reciprocals of each other if neither line is vertical. Do: Find the slope, or rate of change. Write and graph linear equations in various forms. Use slope to determine if lines are parallel, perpendicular, or neither. Interpolate data, in order to write the equation of a trend line (line of best fit) to make predictions. A line of best fit can be calculated by interpolating data. Page 14 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Key Learning: Unit Essential Question: Algebra 1 Honors, 2013-14 (E) Linear Functions 22 (Note: Days allow for review and the Semester Exam) The equation of a line gives me information. What information does the equation of a line give me? Concept: Rate of Change is slope Concept: slope intercept form, point slope form, standard form Benchmark(s): Lesson Essential Questions: Vocabulary: MA.912.A.3.9 1. How are rate and rate of change and slope related? rate of change, slope MA.912.G.1.4 Benchmark(s): Lesson Essential Questions: Vocabulary: MA.912.A.3.9 2. How do I write and graph linear equations using different slope-intercept form, parent function, MA.912.A.3.10 forms? linear parent function, linear MACC.912.F.LE.1.2 equation, y-intercept, x-intercept, MA.912.A.3.12 point slope form, standard form of a MACC.912.A.REI.4.10 linear equation MA.912.A.3.8 MACC.912.A.REI.4.10 MA.912.A.3.7 Concept: Benchmark(s): Lesson Essential Questions: Vocabulary: Parallel and MA.912.A.3.10 3. How do I use slope to find the relationship between two lines? parallel lines, perpendicular lines, perpendicular lines MACC.912.F.LE.1.2 opposite reciprocals MA.912.G.1.4 Concept: Benchmark(s): Lesson Essential Questions: Vocabulary: Scatter plots and MA.912.A.3.11 4. How do I write an equation to show trends in data? scatter plot, positive correlation, trend lines MACC.912.F.LE.1.2 negative correlation, no correlation, MACC.912.A.CED.1.2 trend line, interpolation, MA.912.A.3.12 extrapolation, line of best fit, MACC.912.A.REI.4.10 correlation coefficient, causation Additional Information: Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 5-1 through 5-7 Note: Sections 5-2 and 5-8 are not required in Algebra 1 Honors. Also, the Algebra 1 Honors book contains an extra Concept Byte, “Characteristics of Absolute Value Graphs” on p. 347, not found in the regular text. This activity should not be used as it doesn’t match benchmarks. Manipulatives/Resources: Pasco Mathematics Performance Tasks: What Does Your Slope Tell Us?; Geometer’s Sketchpad, Geogebra, graphing calculator, graphing whiteboards, pocket vocabulary book (foldable), flow chart to graph a line given two points, math journal, word wall, United Streaming Videos, Brainpop.com, Dinah Zike’s Big Book of Math (two tab concept map, shutter fold, three tab Venn diagram) NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts. Page 15 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Algebra 1 Honors, 2013-14 (F) Systems of Equations and Inequalities 13 Know: The three ways to solve systems of equations are graphing, substitution, and elimination. Understand: There are various ways to solve systems of equations and inequalities. Do: Use graphing, substitution, and elimination to solve systems of equations. There are benefits to each of the methods of solving systems of equations. Choose the best method for solving different linear systems. When graphing linear inequalities, the inequality symbol determines the type of line (solid or dashed) and direction of shading. Graph a linear inequality. There are similarities and differences between graphing linear equations and inequalities. Compare graphing a linear inequality to graphing a linear equation. Use graphing to solve systems of linear inequalities. A system of inequalities can be graphed. There are ways to write a system of inequalities given a graph of a system of inequalities. Use a graph of a system of inequalities to write the system of inequalities. Page 16 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Key Learning: Unit Essential Question: Concept: Benchmark(s): Solving Systems by (MA.912.A.3.13 Graphing, MA.912.A.3.14 Substitution, and MA.912.A.3.15) Elimination MACC.912.REI.3.6 Concept: Applications of Linear Systems Algebra 1 Honors, 2013-14 (F) Systems of Equations and Inequalities 13 There are various ways to solve systems of equations and inequalities. How can I solve systems of equations and inequalities? Lesson Essential Questions: Vocabulary: 1. How do I use graphing, substitution, and elimination to solve a System of linear system of equations? equations, solution of a system of linear equations, substitution method, eliminations method Lesson Essential Questions: Vocabulary: 2. How do I choose the best method for solving a linear system? Benchmark(s): (MA.912.A.3.14 MA.912.A.3.15) MACC.912.REI.3.6 Concept: Benchmark(s): Lesson Essential Questions: Vocabulary: Linear Inequalities MA.912.A.3.5 3. How is graphing a linear inequality similar to graphing a linear System of Linear and Systems of MACC.912.REI.2.3 equation? Inequalities, Solution Linear Inequalities MA.912.A.3.12 4. Which method used to solve systems of linear equations could I of a System of Linear MACC.912.A.REI.4.10 use to solve systems of linear inequalities? Inequalities (MA.912.A.3.13 MA.912.A.3.14 MA.912.A.3.15) MACC.912.A.REI.3.6 Additional Information: Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 6-1 through 6-6 Note: In this unit, the Algebra 1 Honors book contains an extra Concept Byte, “Matrices and Solving Systems” on p. 3811, not found in the regular text. This activity should not be used as it doesn’t match benchmarks. Manipulatives/Resources: Pasco Performance Tasks: Election Shape Up, Fundraising, Puzzle Scales, Tree Growth; Graphing Calculators, Geogebra, math journal, word wall, United Streaming Videos, Brainpop.com, Dinah Zike’s Big Book of Math (folded chart, two or three tab matchbook) NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts. Page 17 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Algebra 1 Honors, 2013-14 (G) Exponents 12 Know: Patterns can be used to understand how to simplify expressions with zero and negative exponents. Understand: The rules of exponents are useful to simplify expressions and represent very large and very small numbers. Very small and large numbers can be represented using powers of 10 (scientific notation). Do: Simplify expressions involving zero and negative exponents. Use powers of 10 to write and compare numbers (scientific notation). Use the exponentiation rules to simplify expressions containing exponents. Expressions containing exponents can be simplified using rules of exponents. Page 18 of 27 Revised 7/19/13 Unit Essential Question: Algebra 1 Honors, 2013-14 (G) Exponents 12 The rules of exponents are useful to simplify expressions and represent very large and very small numbers. Why is it important to understand rules of exponents? Concept: Zero and Negative Exponents Lesson Essential Questions: 1. How can patterns help me simplify expressions involving zero and negative exponents? Vocabulary: Lesson Essential Questions: 2. How do I use powers of 10 to write and compare numbers? Vocabulary: scientific notation Lesson Essential Questions: 3. How do the exponentiation rules help me simplify expressions containing exponents? Vocabulary: Course Name: Unit Title: Estimated Number of Days: Key Learning: Concept: Scientific Notation Concept: Exponentiation Rules Benchmark(s): Prereq for MA.912.A.4.1 MACC.912.A.SSE.3.3 Benchmark(s): MA.912.A.4.1 MACC.912.A.SSE.3.3 Benchmark(s): MA.912.A.4.1 MACC.912.A.SSE.3.3 Additional Information: Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 7-1 through 7-5 Note: Sections 7-6 and 7-7 are not required in Algebra 1 Honors. Manipulatives/Resources: The Kings Chessboard children’s book, math journal, word wall, United Streaming Videos, Brainpop.com, Dinah Zike’s Big Book of Math (two-tab matchbook, three-tab book, vocabulary book) NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts. Page 19 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Algebra 1 Honors, 2013-14 (H) Polynomials and Factoring 15 Know: Polynomials can be classified by number of terms and degree. Understand: Properties of real numbers can be applied to polynomials. Polynomials can be added and subtracted utilizing the properties of real numbers. There are many methods for multiplying polynomials. Do: Classify, add, and subtract polynomials. Multiply polynomials using methods such as distributive property, FOIL, special cases, and vertical method. Factor polynomials using different methods such as greatest common factor, ac method, special cases, and by grouping. There are many methods for factoring polynomials. Page 20 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Key Learning: Unit Essential Question: Algebra 1 Honors, 2013-14 (H) Polynomials and Factoring 15 Properties of real numbers can be applied to polynomials. How are the properties of real numbers related to polynomials? Concept: Adding and Subtracting Polynomials Lesson Essential Questions: 1. How do I classify, add, and subtract polynomials? Benchmark(s): MA.912.A.4.2 Concept: Multiplying Polynomials Vocabulary: monomial, degree of a monomial, polynomial, polynomial, standard form of a polynomial, degree of a polynomial, binomial, trinomial Vocabulary: conjugate Benchmark(s): Lesson Essential Questions: MA.912.A.4.2 2. How do I multiply polynomials? MA.912.A.4.3 MACC.912.A.SSE.1.2 Concept: Benchmark(s): Lesson Essential Questions: Vocabulary: Factoring (MA.912.A.4.3 3. How do I factor polynomials? perfect square trinomial, Polynomials MA.912.A.4.4) difference of two squares, MACC.912.A.SSE.1.2 factoring by grouping Additional Information: Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 8-1 through 8-8 Use Concept Byte on page 538 to address MA.912.A.4.4 with LEQ 3. Manipulatives/Resources: Algeblocks, algebra tiles, Geogebra, math journal, word wall, United Streaming Videos, Brainpop.com, Dinah Zike’s Big Book of Math NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts. Page 21 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Algebra 1 Honors, 2013-14 (I) Quadratic Functions and Equations 13 Know: The values of a, b, and c affect the graph of a quadratic equation. Understand: Quadratic functions have distinct characteristics that are useful when solving quadratic equations. The graph and the Zero-Product Property can be used to find the solutions of a quadratic equation. Quadratic equations can be solved by factoring, completing the square, or using the quadratic formula. The discriminant can be used to determine the number of real roots. Do: Use the values of a, b, and c to graph the equation y = ax 2 + bx + c. Use a graph and the Zero-Product Property to find the solutions to quadratic equations. Solve a quadratic equation by factoring, completing the square, and using the quadratic formula. Use the discriminant to find the number of roots. Page 22 of 27 Revised 7/19/13 Algebra 1 Honors, 2013-14 (I) Quadratic Functions and Equations 13 Quadratic functions have distinct characteristics that are useful when solving quadratic Key Learning: equations. How do the characteristics of quadratic functions help me solve quadratic equations? Unit Essential Question: Concept: Benchmark(s): Lesson Essential Questions: Vocabulary: Quadratic MA.912.A.7.1 1. How do the values of a, b, and c affect the graph of the quadratic function, Functions, Graphs, MACC.912.A.F.IF.3.7.1 equation y = ax 2 + bx + c? standard form of a and Their Properties MA.912.A.7.6 quadratic function, quadratic parent function, parabola, axis of symmetry, vertex, minimum, maximum Concept: Benchmark(s): Lesson Essential Questions: Vocabulary: Solving Quadratic MA.912.A.7.10 2. Why are there at most 2 solutions to a quadratic equation? quadratic equation, Equations by MA.912.A.7.8 standard form of a Factoring MACC.912.A.REI.2.4.1 quadratic equation, root MA.912.A.1.8 of an equation, zeroMACC.912.A.SSE.1.3.1 product property MA.912.A.7.2 MACC.912.A.SSE.1.3.2 Concept: Benchmark(s): Lesson Essential Questions: Vocabulary: Completing the MA.912.A.7.2 3. What other methods can I use to solve quadratic equations? completing the square, Square and the MACC.912.A.SSE.1.3.2 quadratic formula, Quadratic Formula MA.912.A.7.8 discriminant MACC.912.A.REI.2.4.1 Additional Information: Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources 9-1 through 9-6 Course Name: Unit Title: Estimated Number of Days: Note: Section 9-7 is not required in Algebra 1 Honors. In this unit, the Algebra 1 Honors book contains two extra Concept Bytes, “Finding Roots” on p. 554 and “Performing Regressions” on p. 581, not found in the regular text. These activities are optional. Manipulatives/Resources: Graphing calculator, Geogebra, math journal, word wall, United Streaming Videos, Brainpop.com, Dinah Zike’s Big Book of Math, Quadratic Formula Video (50 Cent) NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts. Page 23 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Algebra 1 Honors, 2013-14 (J) Radical Expressions 9 Know: The Pythagorean Theorem can be used to find the missing side of a right triangle. Understand: Do: Simplifying and utilizing radical numbers is a Use the Pythagorean Theorem to solve for a vital tool when solving radical equations. missing side of a right triangle. The Multiplication Property of Square Roots can be used to simplify radicals. Simplify radicals using the Multiplication Property of Square Roots. Properties of real numbers can be used to perform operations with radical expressions. Use properties of real numbers to perform operations with radical expressions. Page 24 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Key Learning: Unit Essential Question: Concept: The Pythagorean Theorem Algebra 1 Honors, 2013-14 (J) Radical Expressions 9 Simplifying and utilizing radical numbers is a vital tool when using the Pythagorean Theorem, the distance formula, and radical equations. How are radical expressions represented? Benchmark(s): Lesson Essential Questions: MA.912.A.7.8 1. Why is the Pythagorean Theorem useful? MACC.912.A.REI.2.4.1 Vocabulary: Pythagorean Theorem, hypotenuse, leg, conditional, hypothesis, conclusion, converse Vocabulary: radical expression Concept: Benchmark(s): Lesson Essential Questions: Simplifying MA.912.A.6.1 2. How can I simplify radicals using the Multiplication Property Radicals MACC.912.AN.RN.1.2 of Square Roots? Concept: Benchmark(s): Lesson Essential Questions: Vocabulary: Operations With MA.912.A.6.2 3. What properties of real numbers can I use to perform operations like radicals, unlike Radical Expressions MACC.912.AN.RN.1.2 with radical expressions? radicals, conjugates Additional Information: Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources 9-1 through 9-6 Note: Sections 10-4, 10-5, and 10-6 are not required in Algebra 1 Honors. Manipulatives/Resources: What’s Your Angle Pythagoras? Children’s book, math journal, word wall, United Streaming Videos, Brainpop.com, Dinah Zike’s Big Book of Math NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts. Page 25 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Algebra 1 Honors, 2013-14 (K) Rational Expressions and Functions 12 Know: Some rational expressions can be simplified. Understand: Different operations can be performed on rational expressions. Do: Simplify rational expressions. Polynomials can be divided by binomials. Divide polynomials by binomials. Rational expressions can be added, subtracted, and solved. Add, subtract, and solve rational expressions. Page 26 of 27 Revised 7/19/13 Course Name: Unit Title: Estimated Number of Days: Key Learning: Unit Essential Question: Algebra 1 Honors, 2013-14 (K) Rational Expressions and Functions 12 Different operations can be performed on rational expressions. How are radical expressions represented? Concept: Simplifying rational Expressions Benchmark(s): Lesson Essential Questions: MA.912.A.5.1 1. How can I simplify rational expressions? MACC.912.A.SSE.1.2 Textbook: 1. 11-1 Vocabulary: Rational expression, Excluded Value Concept: Multiplying and Dividing rational expressions Concept: Dividing Polynomials Concept: Adding and Subtracting Concept: Solving rational equations Benchmark(s): MA.912.A.5.2 MA.912.A.5.3 Lesson Essential Questions: 2. How can I multiply and divide rational expressions? Textbook: 2. 11-2 Vocabulary: Complex fraction Benchmark(s): MA.912.A.4.4 Lesson Essential Questions: 3. How can I divide a polynomial by a binomial? Textbook: 3. 11-3 Vocabulary: Benchmark(s): MA.912.A.5.2 Lesson Essential Questions: 4. How can I add and subtract rational expressions? Textbook: 4. 11-4 Vocabulary: Benchmark(s): Lesson Essential Questions: Textbook: Vocabulary: MA.912.A.5.4 5. How can I solve a rational equation? 5. 11-5 Rational equation MA.912.A.5.5 MA.912.A.5.7 Additional Information: Note: This unit is only found in the Algebra 1 Honors book. This unit may need to be accessed online if your school doesn’t have the honors book. Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 11-1 through 11-5 Manipulatives/Resources: Prentice Hall Algebra II book. NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts Page 27 of 27