honors math 3 ms. j. blackwell, nbct · 2019-05-13 · honors math 3 fall 2018 have a good day! ms....

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Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 1 Honors Math 3 Ms. J. Blackwell, nbct https://sites.google.com/site/blackwellsbutterflyworld/home Unit 4 Polynomial Functions Day Date Topic Homework 1 10/8 Mon (Due Dates are on the Website.) Review (October 8 th National Pierogi Day) On-line Log Quiz 1 & 2, Study, & Project 10/9 Tues Unit Test 3 (October 9 th National Moldy Cheese Day) Project, GH # 3, & a Baggie of Chex Mix 2 10/10 Wed 3.1 Patterns & PSAT Testing Day (October 10 th National Angel Food Cake Day) 3.1 # 3 7, 3.1 Set # 10, 12, 14 3 10/11 Thurs 3.2 + - * Polynomials (October 11 th National Sausage Pizza Day) 3.2 # 1 7, 3.2 SG # 15 20, & Civil Engineering Prj 4 10/12 Fri 3.4 Pascal’s Triangle (October 12 th National Gumbo Day) Pascal’s Pattern Sheets, Pascal’s Video Clip, & GH # 4 = Birthday # 1 Assignments are due the day before or the morning of a pre-planned Absence / Field Trip. Anyone checking into school after math class will need to turn in assignments by the end of the school day. Thank You!

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Page 1: Honors Math 3 Ms. J. Blackwell, nbct · 2019-05-13 · Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 8 4. Triangular numbers are numbers that can be drawn as a triangle

Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 1

Honors Math 3

Ms. J. Blackwell, nbct

https://sites.google.com/site/blackwellsbutterflyworld/home

Unit 4 – Polynomial Functions

Day Date Topic Homework

1

10/8

Mon

(Due Dates

are on the

Website.)

Review

(October 8th

– National Pierogi Day)

On-line Log Quiz 1 & 2,

Study, & Project

10/9

Tues

Unit Test 3

(October 9th

– National Moldy Cheese Day)

Project, GH # 3, &

a Baggie of Chex Mix

2

10/10

Wed

3.1 Patterns & PSAT Testing Day

(October 10th

– National Angel Food Cake Day)

3.1 # 3 – 7,

3.1 Set # 10, 12, 14

3 10/11

Thurs

3.2 + - * Polynomials

(October 11th

– National Sausage Pizza Day)

3.2 # 1 – 7,

3.2 SG # 15 – 20, &

Civil Engineering Prj

4 10/12

Fri

3.4 Pascal’s Triangle

(October 12th

– National Gumbo Day)

Pascal’s Pattern Sheets,

Pascal’s Video Clip, & GH

# 4 = Birthday # 1

Assignments are due the day before or the morning of a pre-planned Absence / Field Trip. Anyone

checking into school after math class will need to turn in assignments by the end of the school day.

Thank You!

Page 2: Honors Math 3 Ms. J. Blackwell, nbct · 2019-05-13 · Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 8 4. Triangular numbers are numbers that can be drawn as a triangle

Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 2

(October is also National

Applejack , Spinach Lovers , Cookbook , Pear , Pineapple

, Rhubarb , Pretzel , & Protect Your Hearing Month)

6

10/15

Mon (Due Dates

are on the

Website.)

3.5 Long Division

(October 15th

– National Cheese Curd Day)

3.5 # 1 – 5abcd &

Civil Engineering Project

7 10/16

Tues

3.7 Polynomial Roots

(October 16th

– National Dictionary Day)

3.7 # 1 – 9,

3.7 RS # 3, 4, 11, 12, 16, Go # 1

8 10/17

Wed

3.8 Factoring Polynomials

(October 17th

– National Pasta Day)

3.8 RSG,

Sheldon’s Spot Data, &

Birthday # 1

9 10/18

Thurs

3.8 & Quiz

(October18th is National Chocolate

Cupcake Day)

3.8 # 1 – 4, 3.8 R # 5 – 10, &

Birthday – Part 1

10 10/19

Fri

3.9 End Behavior, Even, & Odd Functions

(October19th is National Seafood Bisque Day )

(October 21st is National Pumpkin Cheesecake Day )

3.9 Part II # 2, 4, 8, 11, 13, 3.9 RSG Even, 21, & Snacks

Page 3: Honors Math 3 Ms. J. Blackwell, nbct · 2019-05-13 · Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 8 4. Triangular numbers are numbers that can be drawn as a triangle

Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 3

11 10/22

Mon

3.10 Polynomial Puzzles & Review

(October 22nd

– National Nut & Color Day )

3.10 RSG Odd & Birthday –

Part 2 = GH # 4

12 10/23

Tues

Quiz (October23

rd – National

Boston Crème Pie Day )

On-line Ted Talk –

Poly Graphs,

UT 4 Review Check List, &

Give Yourself a $1 Treat

13

10/24

Wed

Review

(October 24

th – National Bologna Day )

Study & Birthday # 3 =

Graded HW # 5

due Oct 31st

14

10/25

Thurs Unit Test 4 = Unit Test

(October 25th

– National Greasy Food Day)

Give 3 People A Compliment

15

10/26

Fri

Midterm Review & PS # 4

(October 26th

– National Pumpkin Day &

Breadstick )

Study &

Midterm Exam Take Home Quiz

(October28th – National Chocolate

16 10/29

Mon

Midterm Exam

(October 29

t – National Oatmeal Day)

4.7 Ready & PS # 5 due Nov 5th

Page 4: Honors Math 3 Ms. J. Blackwell, nbct · 2019-05-13 · Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 8 4. Triangular numbers are numbers that can be drawn as a triangle

Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 4

URL: visualpatterns.org

Name: __________________ Pattern #: _____

URL: visualpatterns.org

Name: __________________ Pattern #: _____

1. Draw the next step:

2. Complete this table:

Step

n # of _______________

1

2

3

4

5

6

10

37

3. What do you notice? What do

you wonder?

4. Write the equation:

1. Draw the next step:

2. Complete this table:

Step

n # of _______________

1

2

3

4

5

6

10

37

3. What do you notice? What do

you wonder?

4. Write the equation:

Page 5: Honors Math 3 Ms. J. Blackwell, nbct · 2019-05-13 · Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 8 4. Triangular numbers are numbers that can be drawn as a triangle

Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 5

5. Graph the relationship below.

5. Graph the relationship below.

Use Successive differences to determine polynomial degree

Page 6: Honors Math 3 Ms. J. Blackwell, nbct · 2019-05-13 · Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 8 4. Triangular numbers are numbers that can be drawn as a triangle

Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 6

Pascal’s Triangle Discovery Activity

1. Determine the pattern and write in the missing numbers below:

(x + 3)2 _______________________________________

(x – 2)3 _______________________________________

(2x – 5)4 _______________________________________

Page 7: Honors Math 3 Ms. J. Blackwell, nbct · 2019-05-13 · Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 8 4. Triangular numbers are numbers that can be drawn as a triangle

Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 7

Imagine you have rods of unit lengths as in the following diagram.

2. Find out how many different rod trains can be made from any length

of rod. For example, you can make these 4 trains for the 3 rod.

3. Shade all of the odd numbers in Pascal’s Triangle. Is there a pattern?

Page 8: Honors Math 3 Ms. J. Blackwell, nbct · 2019-05-13 · Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 8 4. Triangular numbers are numbers that can be drawn as a triangle

Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 8

4. Triangular numbers are numbers that can be drawn as a

triangle.

For example, 3 is a triangular number and can be drawn like this.

6 is a triangular number and can be drawn like this.

Find and represent the next two triangular numbers. ________________________

5. Can you find triangular numbers in Pascal’s Triangle? If so, where and

what are they?

6. You are at point A. As you move around the grid,

you are only allowed to take steps to the right or

down. How many ways are there to get to the

following points?

B? ________ C? ________

D? ________ E? ________

7. How did you find these answers?

Page 9: Honors Math 3 Ms. J. Blackwell, nbct · 2019-05-13 · Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 8 4. Triangular numbers are numbers that can be drawn as a triangle

Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 9

8. What would happen if you were allowed to move in any direction?

9. Would your answers change? Explain your answer.

10. Now suppose we add another diagonal row of

dots to out lattice.

How many ways ate there to get to all of the new points?

F? _______ G? ________ H? ________ I? ________ J? ________

11. How did you arrive at the answers in # 10?

Page 10: Honors Math 3 Ms. J. Blackwell, nbct · 2019-05-13 · Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 8 4. Triangular numbers are numbers that can be drawn as a triangle

Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 10

12. Fill – in the chart below:

Page 11: Honors Math 3 Ms. J. Blackwell, nbct · 2019-05-13 · Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 8 4. Triangular numbers are numbers that can be drawn as a triangle

Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 11

Pattern Video Notes:

Activity Procedure: What do you think about the temperature in the classroom? Is it too hot? Too Cold?

How does it compare with other classrooms in the school? Video Clip – Does Sheldon indeed sit in the idea spot in the apartment he and Leonard share? Cell Phone/Laptop Research – What is (MRT) Mean Radiant Temperature?

The equation to calculate

Mean radiant

Temperature is:

MRT= T1 (θ1) + T2 (θ2) +

T3 (θ3) + …… / 360

Page 12: Honors Math 3 Ms. J. Blackwell, nbct · 2019-05-13 · Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 8 4. Triangular numbers are numbers that can be drawn as a triangle

Honors Math 3 Fall 2018 Have a Good Day! Ms. J. Blackwell, nbct 12

Vertical (2D Floor to Ceiling) Sample:

Use the MRT formula and the data in the chart to calculate the MRT below: STUDENT WORKSHEET:

Calculate the Mean Radiant Temperature for The Big Bang Theory Cast. SHOW YOUR WORK for 3 of the cast members. (The room data is on the website.) Sheldon Leonard Amy Penny Howard Bernadette Koothrappali Does Sheldon sit in the best spot? Explain.

(Sheldon’s Spot Activity written by S. Childrey in connection w/ Wake Tech Community College)

Surface Temp. Angle

Name F degrees

Ceiling 65 100

Partition 90 95

Floor 80 105

Radiator 130 15

Window 40 25

Wall 50 20