Math
 Long Term Learning Goals
 Algebra I
 Algebra I Support Lab
 Algebra II
 AP Calculus AB, HON
 AP Calculus BC, HON
 AP Statistics, HON
 Calculus, ACC
 Calculus II, HON
 Computer Programming I, HON
 Computer Programming II, HON
 Consumer Math
 Enriched Topics in Mathematics, ACC
 Geometry
 Introduction to Algebra II, CP
 Math SAT Prep
 PreCalculus
 Probability and Statistics, ACC
 Trigonometry and Statistics, CP
 Lenape Regional High School District
 Algebra I Support Lab
Lenape Regional High School District
Algebra I Support Lab Course of Study

Table of Contents
Members of Revision Committee
Statement of Purpose
Program of Studies Description
Textbook and Resource Materials
Unit 1: Expressions, Equations, Inequalities
Unit 2: Linear Functions
Unit 3: Solving Systems of Linear Equations
Unit 4: Exponential Functions
Unit 5: Quadratic Functions
Unit 6: Polynomials
Unit 7: Radicals
Members of Revision Committee

Statement of Purpose
The purpose of all curricula is to provide direction for instruction. They identify the written outcomes in a subject and /or grade as the basis for classroom activities and student assessment. In order to achieve maximum understanding, the objectives identified as learning outcomes must be written clearly and reflect the specific learning and behavior which are expected.
Objectives are written as major outcomes and stated to require critical thinking. Teachers should understand that they must make careful decisions about the specific sub skills and prior learning needed to reach these objectives. These professionals are encouraged to reflect with others teaching the same curriculum for this purpose and also to identify the most appropriate resources and methods of assessment. The assessments are directly aligned with the objectives. Therefore, the objectives in this guide are designed to provide direction to the teacher in order to facilitate instructional planning.
All teachers, parents and students should be informed of the expected outcomes (i.e. objectives) for the subject and/or grade level.
Program of Studies Description
Algebra I Support Lab is designed to provide additional support, tools and strategies for students enrolled in Algebra I who are identified as in need of support in Algebra I. Credits for this course do not satisfy math requirements for graduation. This is a pass/fail course. The student must be concurrently enrolled in Algebra I to take this course.
Textbook and Resource Materials
Common Core State Standards for Math
Infinite Software (Downloaded on all computers)
TINspire Calculator Website  TINspire CX required (NOT CAS Model)
School 21 (see coordinator for membership purchase)
Desmos (FREE registration for student activities)
Pizzazz (Algebra I PDF workbook)
Teachers Pay Teachers (website to download/purchase teacher made activities – free registration)
Kahoot (website with premade/make your own games for student review – requires students to use cell phone)
Quizzizz (FREE selfpaced quizzes for students)
LearnZillion (FREE notes presentations with practice problems for students)
Unit 1: Expressions, Equations, Inequalities
Objective 1: Students will be able to develop a study/organizational plan, master basic math arithmetic, and perform TINspire skills to foster their success in Algebra I and all academic classes.
Standard ASSE: 1a; NQ: 1, 2, 3; CRP6
Suggested Activities:
Beginning of the year activities:
 Check accessibility for the following: student email, genesis grading module
 Recommendation: weekly checks of genesis grades
 Develop a student folder/portfolio
 Recommendation: teacher should keep a portfolio in the classroom of the student’s work
 Provide students with PSAT information
 Describe what it is and what it is used for
 State when they will take it
 Show them how to access study materials and practice tests
 Explain how it is graded/scored
 PSAT Prep – Sample questions – Personalized Study with Khan Academy
 Teacher should incorporate PSAT prep throughout the year, especially the beginning months as the PSAT will be administered in October.
 Formulate a class discussion based upon the following questions and have the students design an individualized organizational system and study plan for Algebra I. Teacher should review student’s plan and give feedback.
 How do schedules benefit daily life?
 Why is it important to be organized?
 How will I be more effective if I am organized?
 What is the best organizational strategy for me?
 Why is it necessary to prepare for tests?
 How do I prepare for tests?
 What test strategy works best in certain situations?
 Bookmark/Favorite websites/resources from the ‘Textbook and Resource Materials’ section to student computers
 Khan Academy – free teacher registration; create an online classroom and add students to it
 Students should take a pretest to assess current skill level/knowledge base – Aleks, pencil/paper test
 Algebra I TINspire Skills
 TINspire scavenger hunt to get comfortable using the calculator
 Evaluate an expression using exponents, squareroots, fractions, parentheses, brackets
 Change fraction to decimal and reverse
 Clear scratch pad
 Graph a line, inequality, system of linear inequalities
 Get into and out of Press to Test Mode
 Graph a system of equations and find point of intersection
 Teacher should give a weekly, cumulative skill sheet to review past concepts (example: spiral/mixed review)
 Aleks, Infinite Software, Quizzizz, etc.
 TINspire scavenger hunt to get comfortable using the calculator
Objective 2: Students will be able to add, subtract, multiply, divide and state the opposite and the absolute value of real numbers. Students will compare real numbers using the number line. Students will combine like terms and use the distributive property to evaluate and simplify variable expressions.
Standard ASSE: 1a
Suggested Activities:
 Khan Academy Video “Combining Like Terms”
 Distributive Property Puzzle by Idea Galaxy (9^{th} grade – Algebra – Distributive Property Puzzle – FREE)
 Create number line to hang in the room and provide various numbers in different forms (decimals/fractions/integers) and place in numerical order
 Design a visual aid to show the different rules for adding, subtracting, multiplying, and dividing integers (example: adding two negatives = negative)
 Create index cards with like terms and have students group/match cards
 Evaluate expressions involving the distributive property and check solutions with a partner
 Teacher should give a weekly, cumulative skill sheet to review past concepts (example: spiral/mixed review)
 Aleks, Infinite Software, Quizzizz, etc.
Objective 3: Students will be able to evaluate expressions using the order of operations and check given solutions to equations and inequalities. Students will be able to use verbal and algebraic models to represent reallife situations. They will translate and evaluate expressions and write equations that model reallife situations.
Standards ASSE: 1a,1b; ACED: 1, 3; AREI: 1, 3; FIF: 1, 2
Suggested Activities:
 Desmos Activity – Order of Operations (“Twin Puzzles”)
 Khan Academy Practice/Video “Solutions of Inequalities – Algebraic”
 LearnZillion “Represent real life scenarios by writing numerical and algebraic expressions”
 Integers and Evaluating Expressions Mini Quiz by Miss Jude Math (9^{th} grade – Algebra – Integers and Evaluating Expressions Mini – FREE)
 Unit 1 vocabulary (refer to Algebra I curriculum) – notecards (matching game/memorizing), definitions, vocabulary quiz
 Practice prealgebra skills: integer operations, fractions, decimals, times tables
 Use cutouts of the steps for order of operation problems and have students put them in the correct order
 Use a scale to demonstrate balance in solving equations
 Construct a table with verbal expressions and their corresponding mathematical symbols
 Teacher should give a weekly, cumulative skill sheet to review past concepts (example: spiral/mixed review)
 Aleks, Infinite Software, Quizzizz, etc.
Objective 4: Students will be able to solve linear equations in one variable using the properties of addition, subtraction, multiplication, and division. They will solve multistep equations involving variables on both sides that have whole numbers, decimals, and fraction coefficients. Students will use equations to solve problems involving ratios, rates, and percents. Students will also learn to solve formulas for a specified variable. Students will be able to set up and solve word problems involving consecutive integers.
Standards ACED: 1, 3, 4; AREI 1, 3
Suggested Activities:
 Khan Academy Video “Sums of Consecutive Integers”
 Desmos Activity – Solving MultiStep Equations (“Smallest Solution”)
 Solving Equations Review by Mitchell’s Math Madhouse (9^{th} grade – Algebra – Solving Equations Review – FREE)
 Solving Equations Word Problem Match (9^{th} grade – Algebra – Solving Equations Word Problem Match – FREE)
 Create a foldable/poster/notecard describing each step involved in solving a multistep equation
 Scavenger hunt on solving equations by Robert Duncan (9^{th} grade – Algebra – Solving Equations Scavenger Hunt – FREE)
 Consecutive Integers word problems WKST
 Teacher should give a weekly, cumulative skill sheet to review past concepts (example: spiral/mixed review)
 Aleks, Infinite Software, Quizzizz, etc.
Unit 2: Linear Functions
Objective 1: Students will be able to graph linear equations when given a table of values, intercepts, two points, or a point and a slope. Students will identify equations of vertical, horizontal, parallel and perpendicular lines. Students will distinguish the difference between a relation and a function and use correct function notation.
Standards AREI: 10, 11, FIF: 1, 2, 4, 5, 6, 7a
Suggested Activities:
 Unit 2 vocabulary (refer to Algebra I curriculum) – notecards (matching game/memorizing), definitions, vocabulary quiz
 Khan Academy Video “Testing if a Relationship is a Function”
 Battleship Activity by Brittany Kiser – Common Core Graphing on a Coordinate Plane (9^{th} grade – Algebra – Common Core Graphing on a Coordinate Plane – FREE)
 Kahoot – 10 Questions – use as quick review, warmup, or ticket to leave “Parallel and Perpendicular Lines”
 Pyramid/Vocab Ladder – Two students sit across from each other. One student has a ladder or a pyramid in front of them with vocab words. One student tries to get the other student to guess the word they are describing and they try to move up the ladder or pyramid and get to the top.
 Students graph linear equations on white boards and hold up for teacher approval
 Review all parts of the coordinate plane and practice plotting points
 Plot points to create a picture on a coordinate plane (Review)
 Matching points to coordinates (Review) (Pg. 144 – “What happened to the burglar when he broke into the tuba factory?”)
 Apply the definitions of functions and relations to determine if a graph is a function or a relation
 TINspire – Analyze linear equations and their graphs “Algebra I: Graphing Linear Equations”
 Teacher should give a weekly, cumulative skill sheet to review past concepts (example: spiral/mixed review)
 Aleks, Infinite Software, Quizzizz, etc.
Objective 2: Students will be able to write linear equations using standard form, pointslope form, and slopeintercept form. They will find the equation of a line using two points and find equations of parallel and perpendicular lines.
Standards ACED 1, 2, 3; FIF: 6
Suggested Activities:
 Design a poster to define and give examples of each of the three forms of equations (slope intercept, point slope, and standard form)
 Identify different forms used for linear equations and what key components are needed to write the equation in that form – example: what do you need for point slope form? A point and a slope.
 Explain the relationship between the slopes of parallel or perpendicular lines
 Khan Academy MiniQuiz/Video “Write Equations of Parallel and Perpendicular Lines”
 Desmos Activity – Write an equation in slope intercept form to successfully land a plane on a runway (“Land the Plane”)
 Desmos Activity – Writing/Analyzing an equation in slope intercept form and point slope form (“Match My Line”)
 Teacher should give a weekly, cumulative skill sheet to review past concepts (example: spiral/mixed review)
 Aleks, Infinite Software, Quizzizz, etc.
Objective 3: The student will be able to solve linear inequalities in one variable, including compound inequalities using properties of addition, subtraction, multiplication and division. Students will also graph linear inequalities in one and two variables.
Standards AREI 3, 12
Suggested Activities:
 Unit 2 vocabulary (refer to Algebra I curriculum) – notecards (matching game/memorizing), definitions, vocabulary quiz
 Complete a single step of a multistep problem, and then rotate to another problem posted in another location around the room until the class has completed all problems (carousel activity)
 Solving and Graphing Linear Equations and Linear Inequalities BINGO Review Game by Math in Maine – Common Core Graphing on a Coordinate Plane (9^{th} grade – Algebra – Solving and Graphing Linear Equations and Linear Inequalities BINGO Review Game – FREE)
 Khan Academy Video “Solving and Graphing Linear Inequalities”
 Kahoot – Solving and Graphing Inequalities “Linear Inequalities” by ctaylor77
 Verifying Solutions to Linear Inequalities WKST
 Create graphic organizer to explain the differences and similarities in solving a multistep equation and a multistep inequality
 Generate linear inequalities then exchange papers and solve
 Explore and graph linear inequalities using TINspire
 Create mock quizzes for a fictional class and have students take the quiz
 Match graphs of solutions to unsolved inequalities
 Graph inequalities using graph paper and/or a graphing calculator and compare with a partner
 Ticket to leave: Explain why and when the inequality symbol changes directions in an inequality
 Teacher should give a weekly, cumulative skill sheet to review past concepts (example: spiral/mixed review)
 Aleks, Infinite Software, Quizzizz, etc.
Unit 3: Solving systems of linear equations
Objective 1: Students will be able to solve a system of two linear equations by graphing, substitution, and linear combination. Students will use systems of linear equations to solve word problems and solve systems of linear inequalities by graphing.
Standards ACED: 3; AREI: 5, 6
Suggested Activities:
 TINspire activity “Solving Systems by Graphing” – use as a warmup/exit ticket
 Desmos Activity – Solving systems of equations graphically and algebraically (“Solutions to Systems of Linear Equations”)
 Solving Systems of Linear Equations Foldable by Mrs MATH – Common Core Graphing on a Coordinate Plane (9^{th} grade – Algebra – Solving Systems of Linear Equations Foldable – FREE)
 Khan Academy Video “Systems of Equations with elimination (and manipulation)”
 Khan Academy Notes/Practice “Systems of Equations with substitution”
 Solving Systems of Equations Word Problems WKST
 Pizzazz WKSTS (pages: 161 – 169)
 Unit 3 vocabulary (refer to Algebra I curriculum) – notecards (matching game/memorizing), definitions, vocabulary quiz
 Complete a single step of a multistep problem, and then rotate to another problem posted in another location around the room until the class has completed all problems (Carousel activity)
 Create a graphic organizer to show different methods of solving systems of equations with tips on when to use a particular method
 Solve real world problems using systems of equations by graphing
 Identify the mistake for an incorrectly solved substitution or linear combination problem
 Solve a system of equations by a specified method and compare answers with groups or individuals who used a different method
 Given a system of equations, solve using each method
 Graph systems of linear inequalities on a coordinate plane
 Use the TINspire to check your solutions after solving a system of equations algebraically
 Describe three possible outcomes when solving a system of linear
equations and describe the graph of each  Teacher should give a weekly, cumulative skill sheet to review past concepts (example: spiral/mixed review)
 Aleks, Infinite Software, Quizzizz, etc.
Unit 4: Exponential Functions
Objective 1: Students will be able to multiply and divide expressions with exponents, including zero and negative exponents.
Standards NRN: 1, 2; FIF: 8b; ASSE 3c
Suggested Activities:
 Unit 4 vocabulary (refer to Algebra I curriculum) – notecards (matching game/memorizing), definitions, vocabulary quiz
 Free Properties of Exponents Foldable by Sine Sisters – notes for students (9^{th} grade – Algebra – Free Properties of Exponents Foldable – FREE)
 Kahoot – “Basic properties of exponents” by JenDeWitt
 Using properties of Exponents WKST
 Describe how to simplify an expression that contains negative/zero exponents
 Explain when to utilize addition, multiplication and subtraction to simplify expressions involving exponents
 Create a poster/graphic organizer to display the rules of exponents
 Teacher should give a weekly, cumulative skill sheet to review past concepts (example: spiral/mixed review)
 Aleks, Infinite Software, Quizzizz, etc.
Objective 2: Students will be able to analyze the graph of an exponential function in the forms and and determine if it is a growth or decay. Students will be able to identify the value the graph is approaching (horizontal asymptote).
Standards NRN: 1, 2; FIF: 8b; ASSE 3c
Suggested Activities:
 TINspire Activity  Exploring characteristics of Exponential Functions
 Khan Academy Quiz/Video – Matching graphs to functions “Graphs of Exponential Growth”
 Kahoot – Analyzing exponential graphs and functions “Exponential Functions” by taymikesich
 Teacher should give a weekly, cumulative skill sheet to review past concepts (example: spiral/mixed review)
 Aleks, Infinite Software, Quizzizz, etc.
Unit 5: Quadratic Functions
Objective 1: Students will be able to analyze the graph of a quadratic function in standard form, vertex form, and intercept form. They will be able to identify the x and y intercepts, the vertex, and any transformations including a dilation, shift up/down, shift left/right, and/or a reflection of the graph.
Standards FIF: A 1, 2, 3; C 7a, 9
Suggested Activities:
 Unit 5 vocabulary (refer to Algebra I curriculum) – notecards (matching game/memorizing), definitions, vocabulary quiz
 TINspire Activity – Explore Zeros of a Quadratic Function
 TINspire Activity – Explore Transformations of a Quadratic Function
 Desmos Activity – Writing and analyzing the equation of a quadratic function by exploring transformations (“Match My Parabola”)
 Kahoot – Analyzing graphs of quadratic functions “Quadratic Functions” by chriskorea
 Teacher should give a weekly, cumulative skill sheet to review past concepts (example: spiral/mixed review)
 Aleks, Infinite Software, Quizzizz, etc.
Unit 6: Polynomials
Objective 1: Students will be able to add, subtract, and multiply polynomial expressions. Students will factor polynomial expressions and use factoring to solve quadratic equations.
Standards ASSE: 2, 3a, 3c; AAPR: 1, 3; AREI 4b
Suggested Activities:
 Unit 6 vocabulary (refer to Algebra I curriculum) – notecards (matching game/memorizing), definitions, vocabulary quiz
 Factoring Polynomials Graphic Organizer – notes for students (9^{th} grade – Algebra – Factoring Polynomials Graphic Organizer – FREE)
 Operations with Polynomials Puzzle by Jennifer Merker (9^{th} grade – Algebra – Operations with Polynomials Puzzle – FREE)
 Khan Academy Video “Finding the Factors of a Number”
 Quizzizz – “Factoring Trinomials” by sgenzer
 GCF Free Download Greatest Common Factor Task Cards by Gotta Luv It Creations (9^{th} grade – Algebra – GCF Free Download Greatest Common Factor Task Cards – FREE)
 Finding the GCF WKST Practice
 Pizzazz WKSTS – Factoring Trinomials (pages 80 – 92)
 Khan Academy Video “Greatest Common Factors of Monomials”
 Khan Academy Video “Factoring Quadratics with a Common Factor” – GCF first then factoring a trinomial
 Solve by factoring WKST
 List of Factors Reference Sheet “Factoring (list of factors 1100)” by Rachel Owen (9^{th} grade – Algebra – List of Factors Reference Sheet – FREE)
 Review combining like terms and multiplication/division properties of exponents
 Employ Punnett Square as a method to multiply polynomial expressions (box method)
 Evaluate polynomial expressions spread around the room as they rotate with a partner (carousel activity)
 Explain how to factor a trinomial where a = 1 and a ≠ 1
 Teacher should give a weekly, cumulative skill sheet to review past concepts (example: spiral/mixed review)
 Aleks, Infinite Software, Quizzizz, etc.
Unit 7: Radicals
Objective 1: Students will be able to approximate square roots, evaluate square roots, and simplify radicals with/without variables. Students will add, subtract, multiply, and divide radical expressions.
Standards NRN: 1, 2; ASSE: 2
Suggested Activities:
 Unit 7 vocabulary (refer to Algebra I curriculum) – notecards (matching game/memorizing), definitions, vocabulary quiz
 Simplifying Radicals Matching Cards by Math and Glitter – NO variables (9^{th} grade – Algebra – Simplifying Radicals Matching Cards – FREE)
 Kahoot – Simplifying Radicals WITH Variables “Simplifying Radicals” by Ishaubach
 Khan Academy Video – “Simplifying Radicals”
 Khan Academy Practice/Video – “Simplify squareroots (variables)”
 Perfect Square and Square Root Flash Cards (9^{th} grade – Algebra – Perfect Square and Square Root Flash Cards – FREE)
 Operations with Radicals WKST
 Quizzizz – Adding and Subtracting Radicals “4.1.2 Adding and Subtracting Radicals” by mrcoachcollins
 Pizzazz WKSTS – Operations on Radicals (pages 207 – 216)
 Simplify Radical Expressions Coloring WKST
 Review listing factors of a given number and factor tree/prime factorization
 Evaluate square root and radical expressions posted around the room (carousel activity), rotating through all posted problems
 Utilize the calculator to find approximations for square roots
 Organize square roots (with and without leading numbers) from least to greatest. (estimation lineup)
 Develop a list of the perfect squares to aid in approximating values of the square roots of nonperfect squares
 321. Simplify 3 nonperfect square roots, approximate the value of 2 nonperfect square roots, simplify 1 pair of square roots using multiplication
 Create sample quiz/test questions in groups for classmates to solve
 List the two whole numbers a nonperfect square will fall in between
 Teacher should give a weekly, cumulative skill sheet to review past concepts (example: spiral/mixed review)
 Aleks, Infinite Software, Quizzizz, etc.
 Check accessibility for the following: student email, genesis grading module