Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

74
Wednesday 9/3

Transcript of Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Page 1: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Wednesday 9/3

Page 2: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Top of seating chart = front of room by whiteboard

Bottom = back of room

Page 3: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Objectives:•Develop teamwork•Review (x, y) graphing on Cartesian plane•Review congruence of shapes and rigid transformations

Page 4: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Do now:1. Graph points taped to your desk; connect

into shapes.2. Cut out shapes.3. Find matching shapes within team of four

(pod).4. Discuss: How do you know they match? Be

specific.

Page 5: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

You are graded on team clean-up:1. Collect trash on floor, on or in desks. Place in trash or

recycling.2. Return books and tools to shelf in back.3. Erase marks on desk if necessary.4. Be seated before bell.5. Once bell rings, push in all chairs all the way to desk.

(Period 6 places all chairs upside-down on desk.)6. Rotating responsibility for books/tools shelf clean-up.

Today it is team I ‘s job to make sure shelf is tidy.

Page 6: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Friday 9/4

Page 7: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Friday 9/4

1. Complete ‘About Me’ part of syllabus.2. Review required materials.3. Review some class expectations.4. Complete syllabus ‘Review Questions’ with

team-mates.

Page 8: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Monday 9/7

Labor Day – No school

Page 9: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Tuesday 9/8

Page 10: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Objectives:

•Review how you are graded for Professionalism•Explore types of Rigid Transformations:•Translation (slide)•Rotation (spin)•Reflection (flip or mirror)

•Check out textbook, turn in syllabus

Page 11: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Everyone starts with 100% for these grades:1. Being on time, every day.2. Having the tools to do the job.3. Keeping track of commitments in planner.4. Following school & workplace rules.5. Cleaning up the team workspace.

Have you checked HW & written in your planner?

Page 12: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

•Write your name in ink in front inside cover of your assigned textbook.•Write the textbook number in the ‘Review Questions’ of your completed & signed syllabus.•Be ready to turn pages 5-6 of syllabus. Keep pp. 1-4.•Have you checked HW for week on back wall? Written in planner?

Page 13: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

1. Leave the first two pages of your new geometry notebook blank for a Table of Contents.

2. On page 3 of your notebook, plot the points from the paper on your desk and connect into shapes.

3. Talk with your partners about how to:•Turn Shape 1 into Shape 2.•Turn Shape 1 into Shape 3.•Turn Shape 1 into Shape 4.•Turn Shape 1 into Shape 5.

4. Any member should be ready to present.

Page 14: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

•One representative from each group explains to class: How to turn Shape 1 into Shape 2, etc.•Discuss terminology & put in notes: Translate (slide), Reflect (flip), Rotate (spin), Rigid Transformations, Superimpose (perfectly sit on top of, Pre-image (original shape), Image (final shape).

Page 15: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Wednesday 9/9

Page 16: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Do Now1. Have late but complete syllabi in front of you.2. Have geometry equipment laid out in front of

you.3. Have notebook open to HW.4. Graph each of the shapes on the paper in front

of you. Make a new graph for each in your notebook. Label them with the shape number, “Shape #3” “Shape #7” etc.

Page 17: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

How to use a protractor to measure angles

Page 18: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

5. Measure and label all the angles with your protractor. Discuss with partners.

6. Calculate and label the lengths of each side in ‘units’, using the Pythagorean Theorem, if you know how. (Extra credit, but must show all calculations!)

Page 19: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Thursday 9/10

Page 20: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Have your extra credit open from yesterday…using the Pythagorean Theorem to calculate side lengths in your two shapes.

Is your planner up-to-date?

Page 21: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Key Ideas …. to Note (write in notebook)

•Two shapes are congruent if their shape and size are identical.•This means that their corresponding angles and side lengths are the same.•The first shape or pre-image can be superimposed directly over the final image by using rigid transformations: translation (slide), rotation (spin), reflection (flip).

Page 22: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

How to use the Pythagorean Theorem to calculate side lengths

Page 23: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Do Now1. Measure and label all angles in both of your

shapes from yesterday.2. Calculate and label all side lengths on these

shapes. Use the Pythagorean Theorem with ‘units’ of measure.

3. Compare your shapes to those of your partners. Find the ones that are congruent.

Page 24: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Friday 9/11

Page 25: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Do Now1. Have HW open within a minute of the bell.

Materials out on desk for a second check.2. From Wednesday and Thursday, your two shapes

should be labeled with all angle measures and side lengths. If not, do that right away. Use the Pythagorean Theorem with ‘units’ of measure. Help your partners out.

3. Your shapes should be labeled in your notebook as they are on the paper: ‘Shape 1’…

4. Compare your shapes to those of your partners. Find the ones that are congruent.

Page 26: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

•Turned in signed and completed syllabus.•Taken their assigned textbook home for the year.•All the required materials, every day:

•An updated planner.•See me if you have not done one of these things.

At this point everyone should have:

Page 27: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

4. Look for a different shape that is congruent to one of yours. It should have a different shape #.

5. Write a paragraph about one of your shapes and its match.

“Shape #___ and Shape #___ are congruent because they have corresponding angles of _______, _______, _______ (and _____.) They have corresponding side lengths of ________, ________, ________ (and _______.) Therefore, their ________ and ________ are the same.”

Claim, Evidence, Reason

Page 28: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

“Shape #___ and Shape #___ are congruent because they have corresponding angles of _______, _______, _______ (and _____.) They have corresponding side lengths of ________, ________, ________ (and _______.) Therefore, their ________ and ________ are the same.”

Claim, Evidence, Reason

Page 29: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

“Shape #___ and Shape #___ are congruent because they have corresponding angles of _______, _______, _______ (and _____.) They have corresponding side lengths of ________, ________, ________ (and _______.) Therefore, their ________ and ________ are the same.”

Claim, Evidence, Reason

Page 30: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

“Shape #___ and Shape #___ are congruent because they have corresponding angles of _______, _______, _______ (and _____.) They have corresponding side lengths of ________, ________, ________ (and _______.) Therefore, their __shape_ and ___size__ are the same.”

Claim, Evidence, Reason

Page 31: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Monday 9/14

Page 32: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Top of seating chart = front of room by whiteboard

Bottom = back of room

Page 33: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Monday 9/14

Have the HW due last Friday (already checked) open on your desk.

Have your correction pen out.

Page 34: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Students explain HW & make corrections

Page 35: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

From Friday: Write a sentence about one of your shapes and its match:“Shape #___ and Shape #___ are congruent because they have corresponding angles of _______, _______, _______ (and _____.) They have corresponding side lengths of ________, ________, ________ (and _______.) Therefore, their ________ and ________ are the same.”

Claim, Evidence, Reason

Page 36: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Isometric = “same” + “measurements”Isometric shapes = congruent shapes

Same angles and side lengths

Isometric transformation =rigid transformation

Page 37: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Open Notes Quiz

•May not use a cell phone.•May use note book.•Solo effort, not a team quiz.•Do not write on quiz question.•Bubble in completely.

Page 38: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Tuesday 9/15

Page 39: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Do Now: On a graph in your notes,draw polygon with corners

(2,2), (2,4), (4,4), (6,2)

Now rotate this around origin 90o, 180o, 270o.That’s one pre-image and three images.

Starting with the same coordinates, make a new graph, using (1,3) as your Point of Rotation (PoR).

Page 40: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Transformation Rules

(x, y) → (x + 3, y – 1)Pre-image transforms to Image

Take all x-coordinates, add 3 to get new x’s.-1 from all y-coordinates to get new y’s.

(x, y) → (-x, y)(x, y) → (y, x)

Page 41: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Wednesday 9/16

Page 42: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Will check HW due today, tomorrow.

You will understand it better after today’s class.

Improve it tonight.

Page 43: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Explore Transformation Rules

• Graph of your choice. Label.• Transform with first rule on handout.• Label correctly.• Transform second shape into third shape with another rule.• Write down what your rules do.• Share your conclusions with partners.• One member each group shares with class.

Page 44: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Thursday 9/17

Page 45: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Thursday 9/17

•Have HW out for quick check.•People presenting transformation rules: be ready to go.•We’ll go over HW last.

Page 46: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Friday 9/18

Page 47: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Friday 9/181. Have Wed & Fri HW out & open.2. Complete Do Now Q with partners:

Transformation Rule: (x, y) ----- > (2x - 1, y - 3)A (-4,9) A’ (_____ , _____)B (_____ , _____) B’ (31,15)

3. Correct HW using answers on board.4. Have Q’s to ask.

Page 48: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.
Page 49: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Monday 9/21Objectives

1. Get more comfortable drawing rigid transformations on a grid.

2. Get more comfortable writing forward and reverse transformation rules…example: (x, y) → (x + 1, y – 2)

Page 50: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Monday 9/21Worksheet Relays!

1. Complete your own mini worksheet.2. Check partners’.3. Send one representative to turn in all.4. Distribute & complete round two.5. Repeat.6. Team with most correct wins extra credit.

Page 51: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.
Page 52: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Computer Lab

•Absolutely no food or drink.•At end of period, remove any trash, push in chair. Graded on clean-up, just like in class.•New Skyward logins:{FirstName3Chars}.{LastName3Chars}{3Digits to eliminate duplicates}

EXAMPLE: pau.eid000•Log out end of class, so no mischief on acct.

Page 53: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Tuesday 9/22

1. Complete grade-check using Skyward.2. Get it signed by Th.3. Set up Khan Academy account. Make Mr. S your coach.

4. Update your planner using class webpage.5. Read Scratch instructions on class page.6. Get started with Scratch project.

Page 54: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.
Page 55: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Computer Lab

•Absolutely no food or drink.•At end of period, remove any trash, push in chair. Graded on clean-up, just like in class.•New Skyward logins:{FirstName3Chars}.{LastName3Chars}{3Digits to eliminate duplicates}

EXAMPLE: pau.eid000•Log out end of class, so no mischief on acct.

Page 56: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Wed 9/23 – Fri 9/25

•Open instructions on class webpage docs:Scratch Programming Project

•Read carefully. Look at required criteria.•Create Scratch account.•Read Getting Started Guide pdf on Scratch.•Create project. Due next Monday.

Page 57: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.
Page 58: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Monday 9/29

1. Get out HW for check.2. Open Scratch project in ‘Projects Page’

mode.3. Correct your HW in red or green pen using

answer key, with neighbor. Mark those you have questions about.

4. Quiz on HW in ten minutes. May use notes.

Page 59: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

4. Complete quiz w/ notes while Mr. Sidman will check project.

5. Go to class webpage and follow instructions for accessing Online Textbook.

6. Turn in quiz.7. Tell Mr. Sidman if you cannot access Online

Textbook.8. Tomorrow: Get back quiz, answer questions before

Wed test.9. No tutoring this afternoon, but available Tuesday.

Page 60: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Open Notes Quiz

•May not use a cell phone.•May use note book.•Solo effort, not a team quiz.•Do not write on quiz question.•Bubble in completely.

Page 61: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.
Page 62: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Tuesday 9/30

Review for our first unit test tomorrow:Geometric Transformations

Ch. 7 Sections 1 & 2Ch. 0 Section 1

Khan Academy units:Transformations & Analytic Geometry

Page 63: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Do Now: List all the ways to prove two shapes are congruent. Describe the tools required.

1. 2. 3. 4. 5.

Page 64: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

List all the ways to prove two shapes are congruent. Describe

the tools required.1. Cut out and superimpose shapes.2. Trace one shape on patty paper, rigidly translate, rotate,

reflect to superimpose on other.3. Measure angles with a protractor, compare side lengths

with a compass.4. Measure angles with a protractor, calculate side lengths

with the Pythagorean Theorem.5. Do x and y coordinates change using a rigid transformation

‘rule’?

Page 65: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

List all types of Geometric Transformation

Page 66: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Translation

•Translation is a rigid transformation that slides the shape.•May be in the x- or y-direction, or both.•Can use two patty papers to translate along a Line of Translation (LoT).•Can use an ‘algebra rule’ to translate. What are these rules?

Page 67: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Reflection

•Reflection is a rigid transformation that mirrors a shape across a line of reflection (LoR).•Can use one folded patty paper to reflect.•Can use an ‘algebra rule’ to reflect. What are these rules?

Page 68: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Translation & Reflection Practice

•7 min - With your partners, answer Q’s 1-3, pp. 362 in notebook.•Be prepared to present.

Page 69: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Rotation

•Rigid Transformation where shapes turns around a Point of Rotation.

Page 70: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Dilation

•Non-rigid transformation where the x and y coordinates are multiplied by the same constant.•Makes shape grow or shrink equally in the x and y directions.•Angles stay the same, but side lengths change.

Page 71: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Stretch

•Non-rigid transformation where x and y are multiplied by different constants.•Shape does not grow or shrink by same amount in both directions, so that both it’s angles and side lengths change.

Page 72: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.
Page 73: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Unit TEST – Geometric Transformations

NOPhonesPensNotesHeadphonesConversation

YESCalculatorPencilsCompass, protractor, patty paper

Full Name, dateClass periodRead book when done

Page 74: Wednesday 9/3. Top of seating chart = front of room by whiteboard Bottom = back of room.

Unit TEST – Geometric Transformations

•Will collect all tests together when everyone is done or 5 minutes remain in period.•Will ask those who need to show me Scratch project to come to my computer one at a time to show me.•“Label & mark figures” = A, B, C…A’, B’, C’…