INTEGRATED MATH I - SYLLABUS

 

 

 

 

Instructor: Coach Taylor Burch

Room: #323 (3rd Floor Main Building)

Phone: (318)323-2237 ext. 1298

Email: [email protected]

Conference Period: 6th Period

 

I. Purpose

These courses use a more integrated approach to cover the same Algebra I and Geometry concepts and skills that are included in the traditional courses. The problem situations, models, and technology used will foster connections among various strands of mathematics and develop concepts from multiple perspectives. This course provides students with the opportunity to develop fundamental skills of algebra. Topics include using calculators; converting among decimals, fractions, and percent; developing problem-solving skills; using measurement systems; and collecting, presenting, and interpreting data. Students will use and become familiar with the TI-30 Multiview calculator with an in class set available daily.

 

II. Textbook – NONE

 

III. Online Resources

Students will learn in similar capacities and become familiar with use of the following online platforms:

                                  Edulastic                                       Blooket/Gimkit                            Edpuzzle

                                  Google Classroom                        Nearpod                                     Kahoot!

                                  Remind                                         DESMOS (used exclusively for Integrated I)

 

IV. Course Content

This course includes a broad series of lessons and activities that offer a variety of modalities for ultimate student engagement and content retention. Each unit contains a series of lessons that include introduction of content, virtual demonstration of that content, and repeated opportunity to practice that content, along with quizzes per lesson, exams per unit, mid term exam and final exam at the end of the course.

• UNIT 1: Getting Started - These activities help the teacher and students get to know each other, teaches the basics of how to use DESMOS and the TI-30 Multiview calculator, provide an intro to order of operations, introduce students to all four quadrants of the coordinate plane through a variety of activities, and practice graphing coordinates.

               Topic 1: Getting to Know Each Other                           

               Topic 2: Intro to Desmos                                                Topic 6: Ordered Pairs & the Coordinate Plane

               Topic 3: Introduction to the TI-30 Multiview                 Topic 7: The Awesome Coordinate Plane

               Topic 4: Order of Operations                                         Topic 8: Pac-Man Coordinate Plane

               Topic 5: Which One Doesn't Belong?                            Topic 9: Mini Golf Marbleslides

• UNIT 2: Expressions - In this module, students refresh the pre-requisite skills prior to solving equations and use hands-on exploration with representing simple expressions and the distributive property with algebra tiles.

               Topic 1: Simplify Algebraic Expressions                        Topic 5: Simplify Expressions + Distribution

               Topic 2: Combine Like Terms                                         Topic 6: Combine Like Terms + Distribution

               Topic 3: Simplifying Expressions                                    Topic 7: Equivalent Expressions & Algebra Tiles

               Topic 4: Simplify Expressions (cont.)                             Topic 8: Simplify Algebraic Expressions Quiz

• UNIT 3: Equations - Students will determine which value of a variable will balance a hanger, including one- and two-step equations, will solve single variable equations using concrete equation models, repeated practice of solving 1 & 2 step equations & simplifying expressions, and will solve equations with variables on both sides by moving from models to algebraic language.

               Topic 1: Keep It Balanced                                               Topic 14: Variables on Both Sides

               Topic 2: Solving Equations                                             Topic 15: Equations All Mixed Up!

               Topic 3: Mega Man Modeling                                         Topic 16: Solving Equations Quiz #2

               Topic 4: Two Step Equations                                           Topic 17: Equations Among Us!

               Topic 5: 1 & 2 Step Equations                                         Topic 18: More Equations All Mixed Up!

               Topic 6: Two Step & Word Problems                               Topic 19: Solving Equations Review

               Topic 7: Multi-Step Equations                                         Topic 20: Distribution

               Topic 8: Equations Practice                                            Topic 21: Distribution + Combining Like Terms

               Topic 9: Solving Equations Quiz                                     Topic 22: Castlevania Solving

               Topic 10: Variables on Both Sides                                  Topic 23: Making it Balance + Equations

               Topic 11: Variables on Both Sides                                   Topic 24: Concept Quiz Review

               Topic 12: Variables on Both Sides                                  Topic 25: Solving Linear Equations Quiz #3

               Topic 13: Variables on Both Sides

• UNIT 4: Inequalities in One Variable - Students explore linear inequalities and make connections among multiple representations (including algebraic expressions, verbal statements, number line graphs, and solution sets).

               Topic 1: Inequalities on the Number Line                       Topic 9: Is it in the Solution Set?

               Topic 2: Understanding + Solving Inequalities              Topic 10: Single Variable Linear Inequalities

               Topic 3: Linear Inequalities - Why Flip?                        Topic 11: Compound Inequalities on Num. Line

               Topic 4: Inequalities Warm Up                                       Topic 12: Absolute Value Inequalities

               Topic 5: Inequalities Warm Up                                       Topic 13: Nail Polish!

               Topic 6: Inequalities with Solving                                  Topic 14: Graphing/Solving Inequalities

               Topic 7: Inequality Stories                                              Topic 15: Inequalities Quiz

               Topic 8: Solving Inequalities One Variable

• UNIT 5: Functions (Domain & Range) - In this module, students connect different representations of relationships together. Instead of drawing a graph on peper and imagining what it says about the world, watching a video & graphing what they see, uses contexts to develop an understanding of function notation, practice finding the domain and range of piecewise functions, beginning with an informal exploration of domain and range using a graph, and build up to representing the domain and range of piecewise functions using inequalities.
  

               Topic 1: Identifying Functions                                        Topic 10: Domain & Range + Spiraling

               Topic 2: Function Notation                                             Topic 11: Practicing Domain & Range

               Topic 3: Function Notation Practice                              Topic 12: Domain & Range Card Sort

               Topic 4: Function Carnival                                             Topic 13: 3 Act Math

               Topic 5: Function Carnival                                             Topic 14: Warm Up/Extension + Practice

               Topic 6: Practice + Spiraling                                          Topic 15: Practice + Spiraling

               Topic 7: Functions & Function Notation                        Topic 16: Quiz Review

               Topic 8: Functions Quiz                                                  Topic 17: Functions (Domain & Range) Quiz

               Topic 9: Domain & Range Introduction

• UNIT 6: Slope & Linear Functions / Equations - In this module, students practice matching different representations showing the same rate of change, will be introduced to the concept of the slope of a straight line, will represent constant rates of change in mathematical and real world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, will be exposed to multiple representations of y-intercepts, and will write equations for horizontal and vertical lines with domain and range, while also exploring lines that have zero and undefined slopes.

                Topic 1: Slope/Rate of Change                                       Topic 18: Super Mario Linear Equations

                Topic 2: Rate of Change Sort                                         Topic 19: Open Middle - Linear Equations

                Topic 3: Space Invader Slopes                                       Topic 20: Graphing Lines

                Topic 4: NBA Jam Rate of Change                                Topic 21: Plotting Points & Linear Challenge

                Topic 5: Graphing Slope Intercept Form                       Topic 22: Exploring Linear Graphs

                Topic 6: Warm Up/Slope+Graphing+Spiral                 Topic 23: Linear Equation + Video Games

                Topic 7: Y-Intercept with Ghouls & Ghosts                   Topic 24: Marbleslides - Lines

                Topic 8: Slopes of Horizontal & Vertical Lines             Topic 25: Applications of Slope-Intercept

                Topic 9: Intro to Slope-Intercept Form                          Topic 26: Practice Slope & Y-Intercept

                Topic 10: Writing Linear Equations                              Topic 27: Practice - Slope Intercept Form

                Topic 11: NBA Jam Linear Relationships                      Topic 28: Quick Quiz - Slope Intercept Form

                Topic 12: Linear Equations                                           Topic 29: Linear Graphs from Points & y=mx+b

                Topic 13: Linear Graphs from Points & y-mx+b          Topic 30: Applications of Slope-Intercept Form

                Topic 14: Graphing & Writing Slope-Intercept             Topic 31: Quick Quiz - Slope Intercept Form

                Topic 15: Tell Me Y                                                        Topic 32: Legend of Zelda Linear Challenge

                Topic 16: "Solve for y" - Lesson Extension                   Topic 33: Scatter Plot Capture

                Topic 17: Linear Slalom

• UNIT 7: Polynomials: Add / Subtract / Multiply - In this module, students will learn and practice adding, subtracting, and multiplying polynomials.

                Topic 1: Add/Subtract Polynomials Introduction          Topic 7: Multiply Polynomials Introduction

                Topic 2: Add/Subtract Polynomials Part 2                    Topic 8: Multiply Polynomials Part 1

                Topic 3: Add/Subtract Polynomials Part 3                    Topic 9: Multiply Poly by Poly Part 2

                Topic 4: Adding/Subtracting Polynomials Practice      Topic 10: Add/Subtract/Multiply Poly Practice

                Topic 5: Multiply Mono by Poly Day 1                         Topic 11: Quiz Review

                Topic 6: Multiply Mono by Poly Day 2

• UNIT 8: Systems of Equations & Inequalities - In this module, students are introduced to systems of equations and inequalities.

                Topic 1: Intro to Systems                                               Topic 6: Graphing + Systems + Equations

                Topic 2: Graphing Systems of Equations Intro             Topic 7: Systems by Substitution

                Topic 3: Super Mario Systems Races                            Topic 8: Intro to Eliminatino

                Topic 4: Mario vs Sonic                                                Topic 9: Solving Systems using Elimination P2

                Topic 5: Solve Systems of Equation - Graphing

                

V. Assessment and Grading

          A. Formative assessments will be given periodically throughout each class period. Tests will be                accomodated throughout each Module in order to best fit simultaneous participation and to accomodate                the needs of all students, so that class pacing may stay on track.

          B. Homework assignments - Students and parents/guardians should anticipate asynchronous (independent)                work to take approximately the same amount of time as synchronous sessions. For example, an hour of                independent work will be expected for every hour of in class sessions. Most of this asynchronous time will 

               be spent finishing work that we did not have time to finish during the synchronous sessions.

          C. Late / missed assignments (see Section VII below)

          D. Grading Scale

                   A: 93 – 100

                   B: 85 – 92

                   C: 75 – 84

                   D: 67 – 74

                   F: 0 – 66

*Each student’s average is calculated by the following:

     (Total Points Earned / Total Points Possible) x 100

 

VI. Materials

         A. Chromebook & Charger

         B. TI-30 Multiview Calculator

         C. Writing utensils of choice (any test on paper will be pencil only)

   *Any additional materials will be addressed as we progress through the course.

 

VII. Attendance / Makeup Work

         A. Attendance is required and will be taken each day at the beginning of class. If a student is not in their               assigned workspace, they will be counted as absent.

         B. Makeup work and test will be given for excused absences only and will not be made up during class time.               It is the student's responsibility to speak with me (via emal, phone call, remind) upon returning from the               absence to schedule a time to makeup graded work.The student will have a maximum number of school               days, equal to the number of school days missed, to make up the test. For example, if a student misses a               Friday and Monday, they have Tuesday and Wednesday to make up the graded work. If the student is absent               the day before a test and they are in attendance the next class session, the student is responsible for taking               the test (if no new material was covered while the student was absent).

         C. If a student was present when a graded assignment was assigned and is absent the day it is due, the               assignment will be due the day the student gets back from their absence. The assignment will be scored a               zero if the work is not made up, and will receive point deduction for work made up after their return date.

         D. All other makeup assignments will have a set due date from when the student returns and will be scored a               zero if the work is not made up.