Welcome to Discrete mathematics

Welcome to common core math ii!

Ms. TaorminaWebsite: staorminaKHS.pbworks.com

Email: staormina@wcpss.net

My Tutoring HoursTuesdays 3:15pm to 4:15pm Room 2626

Math Department Tutoring Tuesdays 3:15pm to 4:45pm Room 2622What is Common Core Math II?In Common Core Math II, you will engage in realistic problem-solving classroom activities. Daily activities include working collaboratively in small groups, hands-on investigations, discovery learning, and student presentations. As a result, you will have a deeper understanding of mathematical ideas and be able to communicate that knowledge fluently. Class ExpectationsRESPECT yourself, others, and your school at all times.Take responsibility for your learning and your actions.Be physically and mentally prepared for classConsume food and beverages in the cafeteria onlyComply with all KHS and Wake County policies.

*You are responsible for your own actions. If you disrespect or infringe on a classmates right to learn, you will be asked to leave the classroom.*

Supplies3-ring bindernotebook paperpencilsgraphing calculator (TI-83 or TI-84 recommended)

TestsGiven at the end of each unit/chapter. If you are absent on test day, it is your responsibility to make up the test within ONE WEEK.

RetestingRetesting: If you fail a test, you are required to attend tutoring before retaking the test for a maximum grade of 80%. In order to qualify for a retest, YOU MUST HAVE COMPLETED ALL THE HOMEWORK FOR THE UNIT. You must retake the test before the end of the next unit.

QuizzesQuizzes will be given periodically throughout each unit and may or may not be announced. If you miss a quiz, you retake it during class the day of your return. HomeworkAssigned daily and checked for effort and completeness. ALL PROBLEMS MUST BE ATTEMPTED AND WORK MUST BE SHOWN.All homework will be recorded on a stamp sheet. Students must keep up with their stamp sheet!Bathroom PassesGo before or after class.

If you have an emergency, you must go at a time that I am not teaching. You also cannot go during the first or last 15 minutes of class. You must have your bathroom pass.Make-Up WorkWhen you are absent, it is YOUR responsibility to copy the notes, complete the homework assignment(s), and take any tests that you missed. All worksheets and handouts will be posted online daily. You must copy notes from a classmate or from my website. If you miss a test, you must sign up with me to take it after school. Unless you ask me for your make-up work, I will assume you got it from my website. Homework that was due the day you were absent will be due the day you return. It is your responsibility to turn in this assignment during homework checks.

PhonesDont text in my class. Its annoying. Its disrespectful. Youll miss something important. If there is a special circumstance , tell me and we can work it out.

Heres your one chancetake out your phone!Text @ccm2khs to (919) 800 -0900.

Youll get important reminders from me.I cant see your number.You cant reply to me.Standard messaging rates apply.How do you get your grade?Quarter Grade10% Homework15% Classwork25% Quizzes50% Tests

Semester Grade40% First Quarter40% Second Quarter20% Final Exam

Take out a piece of paper.Write down two questions that you have about me.Write down one question that you have about this course.In your groups, choose one question from each category!?????

Matching GameEach of you has been handed a card with a figure plotted on a coordinate plane.

Find the classmate who has the matching figure.

Once you find your match, sit together and write a quick description of how your figures have been changed. Be as descriptive as possible! Write your response on the top left corner of the paper on your desk.

Once all matches have been found, you and your partner will describe your cards to the class.EndTransformations and TranslationsTransformationsDefinition: A transformation is a change in the position, size, or shape of a geometric figure.

Think About The Situation

OriginalABCInvestigationIn this lesson, you will learn how coordinates can be used to transform shapes. You will investigate coordinate representation of rigid transformations that provide a way to reposition figures in a plane without changing the shape or the size of the figures.TranslationDefinition: A translation (slide) is a transformation that moves points the same distance and in the same direction. A translation in the coordinate plane is described by a vector.

Preimage and ImageThe preimage is the original figure. Denoted as A

The image is the figure after a transformation. Denoted as A or A prime (This is called Prime Notation)

Group WorkA translation, or sliding motion, is determined by distance and direction. By looking carefully at a simple shape and its translated image, you can discover patterns relating the coordinates of the shape and the coordinates of its image.

Time Keeper: 15 minutesResource Manager: Translations Worksheet (1/member)

General RuleCompare the transformation rules you developed for Part d of Problem 1 and for Parts c and e of Problem 2.

As a group, write a general rule that tells how to take any point (x, y) and find its translated image if the preimage is moved horizontally h units and vertically k units.

Compare your rule with other groups and resolve any differences.General Rule(x, y) (x + h, y + k)

Describes a translation of h horizontal units (+ Right, - Left)k vertical units (+ Up, - Down)

ExampleWrite a description and rule for the following translation

Vector NotationVector notation is another way to write rules of translations.

A vector is written as h = left/rightk = up/down

AssessmentQuickWrite: On a post-it note, summarize what you learned today in 2 minutes. You may include pictures or symbols if needed. Post on board when finished.

Homework: Worksheet

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