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Revised 7/19/13

Algebra 1 Honors Curriculum Map2013-14 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)

Common Core State Standards Math Resources: of 27

http://www.focus.florida-achieves.com/

http://www.focus.florida-achieves.com/

http://ecsd-fl.schoolloop.com/EOCReviews

http://www.flvs.net/eoc

http://www.algebranation.com/

http://learn.pasco.k12.fl.us/course/view.php?id=163

http://www.cpalms.org/Courses/PublicPreviewCourse2.aspx

http://www.corestandards.org/Math/Practice

Revised 7/19/13

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).

Algebra 1 Honors Pacing Guide of 27

http://katm.org/wp/wp-content/uploads/flipbooks/High-School-CCSS-Flip-Book-USD-259-2012.pdf

http://www.teachingchannel.org/

http://mathpractices.edc.org/

http://illuminations.nctm.org/

http://www.Insidemathematics.org/

http://www.Mathedleadership.org/

http://map.mathshell.org/materials/stds.php

http://www.parcconline.org/

http://www.ccsstoolbox.org/

http://www.corestandards.org/

http://www.floridastandards.org/

http://www.cpalms.org/

Revised 7/19/13

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 Estimated Timeframe for Instruction and AssessmentOpen for B.O.Y Assessments and establishing procedures (4

days) August 19 – August 22

Unit A: Foundations of Algebra – (13 days) August 24 – September 11Unit B: Solving Equations – (17 days) September 12 – October 4

Unit C: Solving Inequalities – (14 days) Absolute Value Equations and Inequalities

October 7 – October 25Note: 1st Quarter Ends October 18

Unit D: Introduction to Functions – (14 days) October 28 – November 15Unit E: Linear Functions – (22 days)

Review and Semester ExamNovember 18 – December 20

Note: 2nd Quarter Ends December 20 Unit F: Systems of Equations and Inequalities – (13 days) January 7 - January 24

Unit G: Exponents – (12 days) January 27 – February 11Unit H: Polynomials and Factoring – Chapter 8 (15 days) February 12 – March 5

Unit I: Quadratic Functions and Equations – Chapter 9 (13 days) March 6 – April 1Note: 3rd Quarter Ends March 13

Unit J: Radical Expressions – (9 days) April 2 – April 15Unit K: Rational Expressions & Functions - (12 days) April 16 –May 2

End of Course Review/Exam (10 days)

May 5 – May 16(Algebra 1 EOC Exam Window is May 12 - May 16)

Unit L: Curriculum Extension or Catch-Up (if possible) (11 days) May 19 – June 3 (After EOC Exam)Note 4th quarter ends June 3

Algebra 1 End-Of-Course ExamAppendix B Sorted by Reporting Categories/Textbook Section Number

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SectionNumber

BenchmarkNOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts.

Item Type

Functions, Linear Equations, and Inequalities: 55% of test4-5, 4-6 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)MC, FR

4-6 MA.912.A.2.4 Determine the domain and range of a relation. (Also assesses MA.912.A.2.13) MC, FR

Ch 4 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)

2-1 to 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)

MC, FR

2-5 MA.912.A.3.3 Solve literal equations for a specified variable. MC3-1 to 3-4, 3-6

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.

MC

2-1 to 2-5, 3-2 to 3-7

MA.912.A.3.5 Symbolically represent and solve multi-step and real world applications that involve linear equations and inequalities.

MC, FR

5-3 to 5-5 MA.912.A.3.7 Rewrite equations of a line into slope-intercept form and standard form. (Assessed with MA.912.A.3.10)

4-4, 5-3 to 5-5

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)

MC

5-1, 5-3 to 5-5

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)

MC, FR

5-3 to 5-6 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)

MC, FR

5-1, 5-7 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)

MC, FR

5-3, 6-5 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)

6-1 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.)

6-1 to 6-3 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.)

MC, FR

6-4, 6-6 MA.912.A.3.15 Solve real-world problems involving systems of linear equations and inequalities in two variables.

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SectionNumber

BenchmarkNOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts.

Item Type

(Assessed with MA.912.A.3.14)5-1, 5-6 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

9-4 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)

2-7 to 2-10 MA.912.A.5.4 Solve algebraic proportions . MC, FR

10-2 MA.912.A.6.1 Simplify radical expressions. (Assessed with MA.912.A.6.2) 10-3 MA.912.A.6.2 Add, subtract, multiply, and divide radical expressions (square roots). (Also assesses MA.912.A.6.1) MC9-1, 9-2 MA.912.A.7.1 Graph quadratic equations with and without graphing technology. (Also assesses MA.912.A.7.8) MC9-4, 9-6 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)MC, FR

Ch 9, 10.1 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)

3-5, 3-8 MA.912.D.7.1 Perform set operations such as union and intersection, complement, and cross product. MC, FR

3-8 MA.912.D.7.2 Use Venn diagrams to explore relationships and patterns and to make arguments about relationships between sets.

MC, FR

Polynomials: 20% of TestCh 7 MA.912.A.4.1 Simplify monomials and monomial expressions using the laws of integral exponents. MC,

FR8-1 to 8-4 MA.912.A.4.2 Add, subtract, and multiply polynomials. MC,

FR8-5 to 8-8 MA.912.A.4.3 Factor polynomial expressions. (Also assesses MA.912.A.5.1) MCConcept Byte p. 538

MA.912.A.4.4 Divide polynomials by monomials. MC

2-6, 11-1 PH Alg I Honors only

MA.912.A.5.1 Simplify algebraic ratios. (Assessed with MA.912.A.4.3)

Course Name: Algebra 1 Honors, 2013-14Unit Title: (A) Foundations for Algebra

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Estimated Number of Days: 13

Know: Understand: Do:There are properties and procedures to evaluate algebraic expressions.

The order of operations needs to be followed when evaluation expressions.

Real numbers can be classified, graphed, and compared.

There are rules for operations on real numbers.

The Distributive Property can be used to simplify expressions.

Tables and mental math can be used to solve equations.

Tables and graphs can be used to describe relationships.

There are properties related to algebra that must be followed.

Write and evaluate algebraic expressions for a given value.

Simplify expressions using the order of operations.

Classify, graph, and compare real numbers.

Add, subtract, multiply, and divide real numbers.

Simplify expressions using the Distributive Property.

Solve equations using tables and mental math.

Describe relationships using tables and graphs.

Course Name: Algebra 1 Honors, 2013-14Unit Title: (A) Foundations for AlgebraEstimated Number of Days: 13

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Key Learning: There are properties related to algebra that must be followed.Unit Essential Question: How are properties related to algebra?Concept:Variables and Expressions

Benchmark(s):Prereq for MA.912.A.3

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?

Vocabulary:quantity, variable, algebraic expression, numerical expression, power, exponent, base, simplify

Concept:Real Numbers and the Number Line

Benchmark(s):MA.912.D.7.2

Lesson Essential Questions: 3. How do I classify, graph, and compare real numbers?

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

Concept:Properties and Operations of Real Numbers

Benchmark(s):MA.912.A.3.2MACC.912.REI.1.1

Lesson Essential Questions: 4. Why are properties of real numbers, such as Commutative and 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?

Vocabulary: equivalent expressions, deductive reasoning, counterexample, absolute value, opposites, additive inverses, multiplicative inverse, reciprocal, Associative, Commutative, and Distributive Properties, term, constant, coefficient, like terms

Concept:Introduction to Equations

Benchmark(s):MA.912.A.10.1

Lesson Essential Questions: 7. How do I solve an equation using a table and mental math?

Vocabulary:equation, open sentence, solution to an equation

Concept:Patterns, Equations, and Graphs


Lesson Essential Questions: 8. Why is it useful to describe a relationship using a table, an equation, and a graph?

Vocabulary: inductive reasoning

Additional Information: Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 1-1 through 1-9Manipulatives/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.

Course Name: Algebra 1 Honors, 2013-14 of 27

http://www.math.tamu.edu/~snite/M141CalcVideos.html

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Unit Title: (B) Solving EquationsEstimated Number of Days: 17

Know: Understand: Do:There is a process to solve multi-step equations.

Literal equations can be solved for a given variable.

Ratios and rates can be used in unit conversions.

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.

Percents are used to compare estimated or measured values to actual or exact values.

There are procedures to follow to solve equations.

Solve multi-step equations.

Rewrite literal equations for a given variables.

Find ratios and rates.

Convert units and rates.

Solve and apply proportions.

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.

Find the relative error in linear and non-linear measurements.

Use percents to compare estimated or measured values to actual or exact values.

Course Name: Algebra 1 Honors, 2013-14Unit Title: (B) Solving Equations

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Estimated Number of Days: 17Key Learning: There are procedures to follow to solve equations.Unit Essential Question: What procedures should I follow to solve equations?

Concept:Solving Multi-Step Equations

Benchmark(s):MA.912.A.3.1MACC.912.REI.3MA.912.A.3.2MACC.912.REI.1.1MA.912.A.3.5MACC.912.REI.2.3MA.912.A.10.3

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

Concept:Literal Equations

Benchmark(s):MA.912.A.3.3MACC.912.A.CED.4

Lesson Essential Questions:2. How do I re-write a literal equation for a given variable?

Vocabulary:literal equation, formula

Concept:Ratios, Rates, Conversion, Proportions, and Similar figures

Benchmark(s):MA.912.A.5.4MA.912.A.5.1

Lesson Essential Questions:3. How can I use ratios, rates, and proportions to solve problems in the real-world?

Vocabulary: Ratio, rate, unit rate, conversion factor, unit analysis, proportion, cross products, cross products property, similar figures, scaled drawing, scale, scale model

Concept:Percent and Percent Change

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?

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)


Course Name: Algebra 1 Honors, 2013-14Unit Title: (C) Solving Inequalities

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Estimated Number of Days: 15

Know: Understand: Do:Inequalities can be written, solved and graphed.

Unions and intersections are operations used with sets.

The words ‘and’ and ‘or’ indicate different compound inequalities.

Absolute value equations can have at most two solutions.

Relationships between quantities that are not equal can be represented and solved.

Write, solve, and graph inequalities.

Work with sets, unions, and intersections.

Solve and graph inequalities containing the words ‘and’ and ‘or’.

Solve and graph equations containing absolute values.

Course Name: Algebra 1 Honors, 2013-14Unit Title: (C) Solving InequalitiesEstimated Number of Days: 14

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Key Learning: Relationships between quantities that are not equal can be represented and solved.Unit Essential Question: How can I represent relationships between quantities that are not equal and solve them?

Concept:Inequalities and Their Graphs, Solving Inequalities

Benchmark(s):MA.912.A.3.4MACC.912.REI.2.3MA.912.A.3.12MACC.912.REI.2.3MA.912.A.3.5MACC.912.REI.2.3MA.912.A.10.3

Lesson Essential Questions:1. How do I write, solve, and graph inequalities?

Vocabulary:solution of an inequality, equivalent inequalities

Concept:Working with Sets and Unions and Intersections of Sets

Benchmark(s):MA.912.D.7.1MA.912.D.7.2

Lesson Essential Questions:2. How do I work with sets, unions, and intersections?

Vocabulary:union, intersection, negation sign

Concept:Compound Inequalities

Benchmark(s):MA.912.A.3.4MACC.912.REI.2.3

Lesson Essential Questions:3. How do I solve and graph inequalities containing the words ‘and’ or ‘or’?

Vocabulary:compound inequality

Concept:Absolute Value Equations and Inequalities

Benchmark(s):Prereq for MA.912.A (MA.912.A.3.4MA.912.A.3.5MA.912.A.3.6)MACC.912.REI.2.3

Lesson Essential Questions:4. How is solving an equation with an absolute value similar to solving other equations?5. How is solving an absolute value inequality similar to solving an absolute value equation?

Vocabulary:

Additional Information:Note: The EOC assessment may also use the negation sign with sets. Supplement when needed.

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)


Course Name: Algebra 1 Honors, 2013-14Unit Title: (D) Introduction to FunctionsEstimated Number of Days: 14

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Know: Understand: Do:Mathematical relationships can be graphed.

Linear and non-linear functions represent patterns.

Some relations are functions.

An arithmetic sequence can be represented using function notation.

Functions can be represented and described. Represent mathematical relationships using graphs.

Identify and represent patterns that describe linear and non-linear functions.

Determine whether a relation is a function.

Use function notation to represent the patterns in an arithmetic sequence.

Course Name: Algebra 1 Honors, 2013-14Unit Title: (D) Introduction to FunctionsEstimated Number of Days: 14Key Learning: Functions can be represented and described.

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Unit Essential Question: How can I represent and describe functions?

Concept:Using graphs to relate to quantities

Benchmark(s):Prereq for MA.912.A.2.3MACC.912.F.IF.2MACC.912.F.IF.3

Lesson Essential Questions:1. How can I represent mathematical relationships using graphs?

Vocabulary:

Concept:Patterns of linear and non-linear functions

Benchmark(s):MA.912.A.2.3MACC.912.F.IF.2MACC.912.F.IF.3

Lesson Essential Questions:2. How do I identify and represent patterns for linear and non-linear functions?

Vocabulary:dependent variable,independent variable, input, output, function,linear function,non-linear function

Concept:Graphing a writing a function rule

Benchmark(s):MA.912.A.2.3MACC.912.F.IF.2MACC.912.F.IF.3MA.912.A.10.2MA.912.A.2.13

Lesson Essential Questions:3. Why is it useful to write, graph, and solve equations that represent functions?

Vocabulary:continuous graph, discrete graph

Concept:Formalizing relations and functions

Benchmark(s):MA.912.A.2.3MACC.912.F.IF.2MACC.912.F.IF.3MA.912.A.2.4MACC.912.F.IF.2MACC.912.F.IF.3MA.912.A.2.13

Lesson Essential Questions:4. How do I determine whether a relation is a function?5. How can I use function notation to represent the patterns in an arithmetic sequence?

Vocabulary:relation, domain, range, vertical line test, function notation, sequence, term, arithmetic sequence, common difference

Additional Information:Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources: 4-1 through 4-7Manipulatives/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)


Course Name: Algebra 1 Honors, 2013-14Unit Title: (E) Linear FunctionsEstimated Number of Days: 22 (Note: Days allow for review and the Semester Exam)

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Know: Understand: Do:Slope is the same as rate of change.

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.

A line of best fit can be calculated by interpolating data.

The equation of a line gives me information. 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.

Course Name: Algebra 1 Honors, 2013-14Unit Title: (E) Linear FunctionsEstimated Number of Days: 22 (Note: Days allow for review and the Semester Exam)Key Learning: The equation of a line gives me information.Unit Essential Question: What information does the equation of a line give me?

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Concept:Rate of Change is slope

Benchmark(s):MA.912.A.3.9MA.912.G.1.4

Lesson Essential Questions:1. How are rate and rate of change and slope related?

Vocabulary:rate of change, slope

Concept:slope intercept form, point slope form, standard form

Benchmark(s):MA.912.A.3.9MA.912.A.3.10MACC.912.F.LE.1.2MA.912.A.3.12MACC.912.A.REI.4.10MA.912.A.3.8MACC.912.A.REI.4.10MA.912.A.3.7

Lesson Essential Questions:2. How do I write and graph linear equations using different forms?

Vocabulary:slope-intercept form, parent function, linear parent function, linear equation, y-intercept, x-intercept, point slope form, standard form of a linear equation

Concept:Parallel and perpendicular lines

Benchmark(s):MA.912.A.3.10MACC.912.F.LE.1.2MA.912.G.1.4

Lesson Essential Questions:3. How do I use slope to find the relationship between two lines?

Vocabulary:parallel lines, perpendicular lines, opposite reciprocals

Concept:Scatter plots and trend lines

Benchmark(s):MA.912.A.3.11MACC.912.F.LE.1.2MACC.912.A.CED.1.2MA.912.A.3.12MACC.912.A.REI.4.10

Lesson Essential Questions:4. How do I write an equation to show trends in data?

Vocabulary:scatter plot, positive correlation, negative correlation, no correlation, trend line, interpolation, extrapolation, line of best fit, correlation coefficient, causation


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)


Course Name: Algebra 1 Honors, 2013-14Unit Title: (F) Systems of Equations and InequalitiesEstimated Number of Days: 13

Know: Understand: Do: of 27

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The three ways to solve systems of equations are graphing, substitution, and elimination.

There are benefits to each of the methods of solving systems of equations.

When graphing linear inequalities, the inequality symbol determines the type of line (solid or dashed) and direction of shading.

There are similarities and differences between graphing linear equations and 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.

There are various ways to solve systems of equations and inequalities.

Use graphing, substitution, and elimination to solve systems of equations.

Choose the best method for solving different linear systems.

Graph a linear inequality.

Compare graphing a linear inequality to graphing a linear equation.

Use graphing to solve systems of linear inequalities.

Use a graph of a system of inequalities to write the system of inequalities.

Course Name: Algebra 1 Honors, 2013-14Unit Title: (F) Systems of Equations and InequalitiesEstimated Number of Days: 13Key Learning: There are various ways to solve systems of equations and inequalities.Unit Essential Question: How can I solve systems of equations and inequalities?

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Concept:Solving Systems by Graphing, Substitution, and Elimination

Benchmark(s):(MA.912.A.3.13MA.912.A.3.14MA.912.A.3.15)MACC.912.REI.3.6

Lesson Essential Questions:1. How do I use graphing, substitution, and elimination to solve a system of equations?

Vocabulary:System of linear equations, solution of a system of linear equations, substitution method, eliminations method

Concept:Applications of Linear Systems

Benchmark(s):(MA.912.A.3.14MA.912.A.3.15)MACC.912.REI.3.6

Lesson Essential Questions:2. How do I choose the best method for solving a linear system?

Vocabulary:

Concept:Linear Inequalities and Systems of Linear Inequalities

Benchmark(s):MA.912.A.3.5MACC.912.REI.2.3MA.912.A.3.12MACC.912.A.REI.4.10(MA.912.A.3.13MA.912.A.3.14MA.912.A.3.15)MACC.912.A.REI.3.6

Lesson Essential Questions:3. How is graphing a linear inequality similar to graphing a linear equation?4. Which method used to solve systems of linear equations could I use to solve systems of linear inequalities?

Vocabulary:System of Linear Inequalities, Solution of a System of Linear Inequalities


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)


Course Name: Algebra 1 Honors, 2013-14Unit Title: (G) ExponentsEstimated Number of Days: 12


Revised 7/19/13

Patterns can be used to understand how to simplify expressions with zero and negative exponents.

Very small and large numbers can be represented using powers of 10 (scientific notation).

Expressions containing exponents can be simplified using rules of exponents.

The rules of exponents are useful to simplify expressions and represent very large and very small numbers.

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.

Course Name: Algebra 1 Honors, 2013-14Unit Title: (G) ExponentsEstimated Number of Days: 12

Key Learning: The rules of exponents are useful to simplify expressions and represent very large and very small numbers.

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Unit Essential Question: Why is it important to understand rules of exponents?

Concept:Zero and Negative Exponents

Benchmark(s):Prereq for MA.912.A.4.1MACC.912.A.SSE.3.3

Lesson Essential Questions: 1. How can patterns help me simplify expressions involving zero and negative exponents?

Vocabulary:

Concept:Scientific Notation

Benchmark(s):MA.912.A.4.1MACC.912.A.SSE.3.3

Lesson Essential Questions:2. How do I use powers of 10 to write and compare numbers?

Vocabulary:scientific notation

Concept:Exponentiation Rules

Benchmark(s):MA.912.A.4.1MACC.912.A.SSE.3.3

Lesson Essential Questions:3. How do the exponentiation rules help me simplify expressions containing exponents?

Vocabulary:


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)


Course Name: Algebra 1 Honors, 2013-14Unit Title: (H) Polynomials and FactoringEstimated Number of Days: 15


Revised 7/19/13

Polynomials can be classified by number of terms and degree.

Polynomials can be added and subtracted utilizing the properties of real numbers.

There are many methods for multiplying polynomials.

There are many methods for factoring polynomials.

Properties of real numbers can be applied to polynomials.

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.

Course Name: Algebra 1 Honors, 2013-14Unit Title: (H) Polynomials and FactoringEstimated Number of Days: 15Key Learning: Properties of real numbers can be applied to polynomials.Unit Essential Question: How are the properties of real numbers related to polynomials?

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Concept:Adding and Subtracting Polynomials


Lesson Essential Questions:1. How do I classify, add, and subtract polynomials?

Vocabulary:monomial, degree of a monomial, polynomial, polynomial, standard form of a polynomial, degree of a polynomial, binomial, trinomial

Concept:Multiplying Polynomials

Benchmark(s):MA.912.A.4.2MA.912.A.4.3MACC.912.A.SSE.1.2

Lesson Essential Questions:2. How do I multiply polynomials?

Vocabulary:conjugate

Concept:Factoring Polynomials

Benchmark(s):(MA.912.A.4.3MA.912.A.4.4)MACC.912.A.SSE.1.2

Lesson Essential Questions:3. How do I factor polynomials?

Vocabulary:perfect square trinomial, difference of two squares, factoring by grouping


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


Course Name: Algebra 1 Honors, 2013-14Unit Title: (I) Quadratic Functions and EquationsEstimated Number of Days: 13


Revised 7/19/13

The values of a, b, and c affect the graph of a quadratic equation.

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.

Quadratic functions have distinct characteristics that are useful when solving quadratic equations.

Use the values of a, b, and c to graph the equation .

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.

Course Name: Algebra 1 Honors, 2013-14Unit Title: (I) Quadratic Functions and EquationsEstimated Number of Days: 13

Key Learning: Quadratic functions have distinct characteristics that are useful when solving quadratic equations.

Unit Essential Question: How do the characteristics of quadratic functions help me solve quadratic equations?Concept: Benchmark(s): Lesson Essential Questions: Vocabulary:

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Quadratic Functions, Graphs, and Their Properties

MA.912.A.7.1MACC.912.A.F.IF.3.7.1MA.912.A.7.6

1. How do the values of a, b, and c affect the graph of the equation ?

quadratic function, standard form of a quadratic function, quadratic parent function, parabola, axis of symmetry, vertex, minimum, maximum

Concept:Solving Quadratic Equations by Factoring

Benchmark(s):MA.912.A.7.10MA.912.A.7.8MACC.912.A.REI.2.4.1MA.912.A.1.8MACC.912.A.SSE.1.3.1MA.912.A.7.2MACC.912.A.SSE.1.3.2

Lesson Essential Questions:2. Why are there at most 2 solutions to a quadratic equation?

Vocabulary:quadratic equation, standard form of a quadratic equation, root of an equation, zero-product property

Concept:Completing the Square and the Quadratic Formula

Benchmark(s):MA.912.A.7.2MACC.912.A.SSE.1.3.2MA.912.A.7.8MACC.912.A.REI.2.4.1

Lesson Essential Questions:3. What other methods can I use to solve quadratic equations?

Vocabulary:completing the square, quadratic formula, discriminant

Additional Information:Prentice Hall Algebra 1 Honors Gold Series is the adopted textbook for Pasco County. Textbook resources 9-1 through 9-6

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)


Course Name: Algebra 1 Honors, 2013-14Unit Title: (J) Radical ExpressionsEstimated Number of Days: 9

Know: Understand: Do:The Pythagorean Theorem can be used to find the missing side of a right triangle.

Simplifying and utilizing radical numbers is a vital tool when solving radical equations.

Use the Pythagorean Theorem to solve for a missing side of a right triangle.

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The Multiplication Property of Square Roots can be used to simplify radicals.

Properties of real numbers can be used to perform operations with radical expressions.

Simplify radicals using the Multiplication Property of Square Roots.

Use properties of real numbers to perform operations with radical expressions.

Course Name: Algebra 1 Honors, 2013-14Unit Title: (J) Radical ExpressionsEstimated Number of Days: 9

Key Learning: Simplifying and utilizing radical numbers is a vital tool when using the Pythagorean Theorem, the distance formula, and radical equations.

Unit Essential Question: How are radical expressions represented? of 27

Revised 7/19/13

Concept:The Pythagorean Theorem

Benchmark(s):MA.912.A.7.8MACC.912.A.REI.2.4.1

Lesson Essential Questions:1. Why is the Pythagorean Theorem useful?

Vocabulary:Pythagorean Theorem, hypotenuse, leg, conditional, hypothesis, conclusion, converse

Concept:Simplifying Radicals

Benchmark(s):MA.912.A.6.1MACC.912.AN.RN.1.2

Lesson Essential Questions:2. How can I simplify radicals using the Multiplication Property of Square Roots?

Vocabulary:radical expression

Concept:Operations With Radical Expressions

Benchmark(s):MA.912.A.6.2MACC.912.AN.RN.1.2

Lesson Essential Questions:3. What properties of real numbers can I use to perform operations with radical expressions?

Vocabulary:like radicals, unlike 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


Course Name: Algebra 1 Honors, 2013-14Unit Title: (K) Rational Expressions and FunctionsEstimated Number of Days: 12

Know: Understand: Do:Some rational expressions can be simplified.

Polynomials can be divided by binomials.

Different operations can be performed on rational expressions.

Simplify rational expressions.

Divide polynomials by binomials. of 27

Revised 7/19/13

Rational expressions can be added, subtracted, and solved.

Add, subtract, and solve rational expressions.

Course Name: Algebra 1 Honors, 2013-14Unit Title: (K) Rational Expressions and FunctionsEstimated Number of Days: 12Key Learning: Different operations can be performed on rational expressions.Unit Essential Question: How are radical expressions represented?

Concept:Simplifying rational


Lesson Essential Questions:1. How can I simplify rational expressions?

Textbook:1. 11-1

Vocabulary:Rational expression,

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Expressions MACC.912.A.SSE.1.2 Excluded Value

Concept:Multiplying and Dividing rational expressions

Benchmark(s):MA.912.A.5.2MA.912.A.5.3

Lesson Essential Questions:2. How can I multiply and divide rational expressions?

Textbook:2. 11-2

Vocabulary:Complex fraction

Concept:Dividing Polynomials


Lesson Essential Questions:3. How can I divide a polynomial by a binomial?

Textbook:3. 11-3

Vocabulary:

Concept:Adding and Subtracting


Lesson Essential Questions:4. How can I add and subtract rational expressions?

Textbook:4. 11-4

Vocabulary:

Concept:Solving rational equations

Benchmark(s):MA.912.A.5.4MA.912.A.5.5MA.912.A.5.7

Lesson Essential Questions:5. How can I solve a rational equation?

Textbook:5. 11-5

Vocabulary:Rational equation

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 11-5Manipulatives/Resources: Prentice Hall Algebra II book.

NOTE: Please be aware that the Algebra 1 EOC assessment includes many applications of Algebra 1 concepts

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