bridge math (sails)

Bridge Math (SAILS)

COURSE SUMMARY

The Seamless Alignment and Integrated Learning Support (SAILS) program targets students who have not achieved college readiness benchmarks by introducing the college developmental curriculum into the high school senior year. SAILS utilizes a facilitated hybrid instructional model, combining the professional pedagogical expertise of the certified teacher with dynamic properties of multimedia and digital content.

Teacher Dr. Kristina Hill

Administrator Mr. Tim Campbell

Created 2019-08-02

Last updated 2019-08-02

Dr. Hill is in her 13th year teaching Mathematics. She has been working with students ranging from 9th grade through college undergraduates during her career. Dr. Hill enjoys teaching but when she is not at school, she spends time with her husband, reading, crocheting, and watching her favorite shows (Survivor, NCIS, and Big Bang Theory).

TABLE OF CONTENTS

OVERVIEW 4

GENERAL INFORMATION 4

CLASSROOM RULES 6

CLASSROOM EXPECTATIONS 6

GRADING POLICY 8

UNITS OF STUDY 9

APPENDIX 10

OVERVIEW

Bridge Math is a course intended to build upon concepts taught in previous courses to allow students to gain a deeper knowledge of the real and complex number systems as well as the structure, use, and application of equations, expressions, and functions. Functions emphasized include linear, quadratic and polynomial. Students continue mastery of geometric concepts such as similarity, congruence, right triangles, and circles. Students use categorical and quantitative data to model real life situations and rules of probability to compute probabilities of compound events.

https://www.tn.gov/content/dam/tn/education/standards/math/stds_math.pdf

https://www.tn.gov/content/dam/tn/education/standards/math/stds_math.pdf

The Seamless Alignment and Integrated Learning Support (SAILS) program targets students who have not achieved college readiness benchmarks by introducing the college developmental curriculum into the high school senior year. Developed by K-12 teachers and higher education faculty, SAILS embeds the Tennessee Board of Regents (TBR) Learning Support competencies into the high school senior year math course, allowing students to begin their higher education career prepared for credit-bearing coursework. SAILS utilizes a facilitated hybrid instructional model, combining the professional pedagogical expertise of the certified teacher with dynamic properties of multimedia and digital content. Research supports that this blended system of teaching and learning is the most effective at engaging students with their work, and increases their success rate.

GENERAL INFORMATION

Instructor: Dr. Kristina Hill Office: Room 609 [email protected]* ☏423-477-1600**

*Emails received after 4:00 p.m. Monday through Thursday will have a response by 3:00 p.m. the following day. Emails received after 4:00 p.m. on Friday will have a response by noon the following Monday.

**Planning period is 1:25 – 2:45p.m. (5th block). Please leave a message with the best time to return the call.

What to bring to class A POSITIVE attitude Notebook Writing utensil (pencil or pen) Graphing calculator (optional)

When class begins Class begins when the bell stops ringing. Anyone coming through the door after the bell has stopped will be considered tardy. Every three tardies will result in a writing assignment or a referral to the office.

When class ends Class is dismissed when the teacher dismisses the class (not when the bell rings).

CLASSROOM RULES

● Be on time, on task, and prepared to learn everyday. #nofreedays ● Respect the teacher, the classroom, other students, and yourself.

#benice ● Be responsible for your own learning. #quitcheating #workhard ● Clean up after yourself and your peers. #notyourmom #notyourmaid ● Keep all personal electronics put away. #notexting #notweeting

#nopictures Policies and Procedures set out by the Washington County Schools Handbook will be in effect at all times.

CLASSROOM EXPECTATIONS

● Restroom visits are made between classes. ● Hall passes are limited to four per nine-week period. No hall pass will

be allowed to go to the vending machines. (Refer to DBHS Faculty and Staff Guidelines page 26.)

● Personal hygiene is to be taken care of in the restrooms. ● No one is allowed to leave the room the first or the last 20 minutes of

class. (Refer to DBHS Faculty and Staff Guidelines page 26.) ● If using wood pencils, they are to be sharpened before the beginning

of class. ● Books/backpacks/bags are to be placed under the desk or chair and

out of the aisleway. ● No eating, drinking, or gum is allowed. Plain water only (not flavored

water) in a clear container is allowed. ● All work must be explained on paper. ● Throwing or tossing objects will result in an immediate referral. ● Refer to Academic Integrity Contract for testing. (See Appendix.)

https://www.wcde.org/domain/10

● Cell phones are kept off and out of sight. (Refer to Student Handbook page 23.)

● Computers and calculators will be assigned. Internet usage protocol will follow Student Handbook page 16. (Also refer to Student Handbook pages 6 and 23.)

● Class is dismissed when the teacher says the class is dismissed.

https://sayingimages.com/funny-math-memes/

https://sayingimages.com/funny-math-memes/

GRADING POLICY

A = 93 - 100 Grade Weights B = 85 - 92 C = 75 - 84 D = 70 - 74 F = below 70

(Refer to Student Handbook page 16.)

★ Refer to SAILS Pacing for Block Schedule -- Fall (See Appendix.)

UNITS OF STUDY

Est. Date Unit

8/08/2019 Module 1: Real Numbers

9/09/2019 Module 2: Operations with Algebraic Expressions

9/19/2019 Module 3: Equations and Inequalities

10/14/2019 Module 4: Linear Graphing

11/11/2019 Module 5: Modeling and Critical Thinking

12/09/2019 Module 6: Advanced Topics (optional)

APPENDIX

SAILS Pacing for Block Schedule -- FALL

Due

Date

Day

Assignment Name Category

8/6 Day 1 Getting Started Orientation Homework

8/7 Day 2 Academic Integrity Agreement Homework

MODULE 1: REAL NUMBERS

Module 1A: Integers, Fractions, Decimals

8/8 Day 3 Module 1A1: Introduction to Fractions and Mixed

Numbers (p. 24) Homework

8/9 Day 4 Module 1A2: Changing Between Fractions and

Mixed Numbers (p. 27) Homework

8/12 Day 5 Module 1A3: Factors and Prime Factorization (p.

29) Homework

Module 1A4: Simplifying Fractions (p. 31) Homework

8/13 Day 6 Module 1A5: Fractions and Problem Solving (p. 50) Homework

8/14 Day 7 Module 1A6: Fractions and Decimals (p. 53) Homework

8/15

Day 8

Module 1A7: Rounding (p. 55) Homework

Module 1A8: Decimals and Problem Solving (p. 58,

61, and 64) Homework

8/16 Day 9

Module 1A9: Comparing Fractions and Decimals (p.

65) Homework

8/19

Day 10

Module 1A10: Square Roots (p. 105) Homework

Module 1A11: Symbols and Sets of Numbers (p.

123) Homework

8/20 Day 11 Module 1A12: Absolute Value (p. 125) Homework

8/21 Day 12 Module 1A13: Order of Operations (p. 127) Homework

Module 1A14: Real Numbers and Problem Solving

(p. 133, 136, and 144) Homework

8/22 Day 13 Module 1A: Quiz Quiz

Module 1B: Applications

8/23 Day 14 Module 1B1: Introduction to Percent (p.70) Homework

8/26 Day 15 Module 1B2: Solving Percent Problems (p.78) Homework

Module 1B3: Solving Percent Problems-Interest

(p.82) Homework

8/27 Day 16 Module 1B4: Unit Conversion-Length (Supplement

p. 1) Homework

8/28 Day 17 Module 1B5: Unit Conversion-Weight and Mass

(Supplement p. 4) Homework

8/29 Day 18 Module 1B6: Unit Conversion-Capacity


Module 1B: Quiz Quiz

Module 1C: Basic Geometry

8/30 Day 16 Module 1C1: Perimeter and Circumference (p. 93) Homework

Module 1C2: Area (p. 97) Homework

9/2 Labor Day Holiday

9/3 Day 17 Module 1C3: Volume of Solids (p. 101) Homework

Module 1C4: Surface Area (Supplement p. 10) Homework

9/4 Day 18 Module 1C: Quiz Quiz

9/5 Day 19 Module 1: Review for Test Quiz

9/6 Day 20 Module 1 Test Test

MODULE 2: OPERATIONS WITH ALGEBRAIC EXPRESSIONS

Module 2A: Algebraic Expressions

9/9 Day 21 Module 2A1: Evaluate with Substitution (p.128) Homework

Module 2A2: The Distributive Property (p.147) Homework

Module 2A3: Combining Like Terms (p.150) Homework

9/10 Day 22 Module 2A4: Add and Subtract Polynomials (p.223) Homework

Module 2A5: Multiply Polynomials (p.225) Homework

9/11 Day 23 Module 2A6: Factor Out the Greatest Common

Factor, GCF (p.231) Homework

Module 2A: Quiz Quiz

Module 2B: Rules of Exponents

9/12 Day 24 Module 2B1: Rules of Exponents - Product Rule

(p.212) Homework

Module 2B2: Rules of Exponents - Power Rules

(p.213) Homework

9/13 Day 25 Module 2B3: Rules of Exponents - Quotient Rule

(p.214) Homework

Module 2B4: Rules of Exponents - Negative

Exponents (p.217) Homework

9/16 Day 26 Module 2B5: Use the Rules of Exponents (p.216) Homework

Module 2B6: Scientific Notation (p.218) Homework




MODULE 3: EQUATIONS AND INEQUALITIES

Module 3A: Solving Equations

9/19 Day 29 Module 3A1: Solutions to Equations (p. 136) Homework

Module 3A2: Addition Property of Equality (p. 154) Homework

9/20 Day 30 Module 3A3: Multiplication Property of Equality (p.

157) Homework

Module 3A4: Solving Multi-Step Equations (p. 158) Homework

9/23 Day 31 Module 3A5: Further Solving of Linear Equations

(p. 160) Homework

9/24 Day 32 Module 3A6: Further Solving of Linear Equations II

(p. 163) Homework


Module 3B: Inequalities and Proportions

9/26 Day 34 Module 3B1: Formulas and Problem Solving (p.

165) Homework

9/27 Day 35 Module 3B2: Graphing One-Variable Inequalities

(p. 170) Homework

Module 3B3: Solving One-Step Inequalities (p. 170) Homework

9/30 Day 36 Module 3B4: Solving Multi-Step Inequalities (p.

171) Homework

Module 3B5: Understanding Proportions (p. 66) Homework

10/1 Day 37 Module 3B6: Solving Problems Involving

Proportions (p. 68) Homework




10/04

-

10/13

Fall Break

MODULE 4: LINEAR GRAPHING

Module 4A: Graphing Linear Equations

10/14 Day 40

Module 4A1: Coordinate Plane (p.173) Homework 10/15 Day 41

10/16 Day 42 Module 4A2: Graphing Linear Equations (p.176) Homework

10/17 Parent / Teacher Conferences

10/18 Day 43 Module 4A2: Graphing Linear Equations (p.176) Homework

10/21 Day 44

Module 4A3: Intercepts (p.178) Homework 10/22 Day 45

10/23 Day 46

Module 4A4: Slope and Rate of Change (p. 182) Homework 10/24 Day 47


Module 4B: Forms, Functions, and Inequalities

10/28 Day 49

Module 4B1: Slope-Intercept Form (p. 188) Homework 10/29 Day 50

10/30 Day 51

Module 4B2: Point-Slope Form (p.189) Homework 10/31 Day 52

11/1 Day 53 Module 4B3: Introduction to Functions (p. 191) Homework

11/4 Day 54 Module 4B4: Function Notation (p.195) Homework

11/5 Day 55 Module 4B5: Graphing Linear Inequalities in Two

Variables (p. 197) Homework

11/6 Day 56 Module 4B: Quiz Quiz



MODULE 5: MODELING AND CRITICAL THINKING

Module 5A: Quadratic Equations

11/11 Day 59

Module 5A1: Factoring Trinomials (p. 234) Homework 11/12 Day 60

11/13 Day 61

Module 5A2: Solve by Factoring (p. 240) Homework 11/14 Day 53

11/15 Day 63 Module 5A3: Simplifying Square Roots Using the

Product Rule (p. 263) Homework

11/18 Day 64 Module 5A4: Solve with the Quadratic Formula (p.

278) Homework


Module 5B: Systems of Equations

11/20 Day 66 Module 5B1: Solving Linear Systems of Equations

by Graphing (p. 202) Homework


by Substitution (p. 206) Homework


by Addition (p. 207) Homework

11/25 Day 69 Module 5B4: Solving Nonlinear Systems of

Equations (Supplement p. 13) Homework

11/26 Day 70 Module 5B: Quiz Quiz

11/27 - 11/29 Thanksgiving Break

Module 5C: Probability and Statistics

12/2 Day 71 Module 5C1: Charts and Graphs (p. 111) Homework

Module 5C2: Measures of Central Tendency (p.

119) Homework

Module 5C3: Scatter Plots (review p. 174) Homework

12/3 Day 72 Module 5C4: Counting and Intro to Probability (p.

121) Homework

Module 5C5: Addition and Multiplication Rules


Module 5C6: Complements and Conditional

Probability (Supplement p. 22) Homework

12/4 Day 73 Module 5C: Quiz Quiz



MODULE 6: ADVANCED TOPICS

Module 6A: Geometry with Composite Figures

12/9 Day 76 Module 6A1: Perimeter and Circumference -

Composite Figures (review p. 93) Homework

Module 6A2: Area - Composite Figures (review p.

97) Homework

Module 6A3: Volume of Solids - Hemispheres &

Composite Figures (review p. 101) Homework

Module 6A: Quiz Quiz

Module 6B: Trigonometry

12/10 Day 77 Module 6B1: Properties of Angles (p. 84)

Homework

Module 6B2: Pythagorean Theorem (p. 106) Homework

Module 6B3: Special Right Triangles (Supplement p.

24) Homework

12/11 Day 78 Module 6B4: Similar Triangles (p. 108)

Homework

Module 6B5: Basic Right Triangle Trigonometry


Module 6B6: Angles of Elevation and Depression



Module 6C: Additional Methods to Solve Quadratic

Equations

12/12 Day 79 Module 6C1: Solve by Inspection (p. 274)

Homework

Module 6C2: Solve by Completing the Square (p.

276) Homework

12/13 Day 80 Module 6C3: Complex Numbers (Supplement p. 32)

Homework

Module 6C4: Complex Solutions to the Quadratic

Formula (review p. 278) Homework

Module 6C: Quiz Quiz

Module 6D: Advanced Graphing

12/16 Day 81 Module 6D1: Distance and Midpoint (Supplement

p. 36) Homework

Module 6D2: Graphing Quadratic Equations (p.

280) Homework

12/17 Day 82 Module 6D3: Graphing Absolute Value Functions


Module 6D4: Graphing Piecewise Functions


Module 6D: Quiz Quiz



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