Just a Spoonful of sugar…

H E L P S T H E C A L C U L U S G O D O W N I N A M O S T D E L I G H T F U L W A Y

JUST A SPOONFUL OF SUGAR…

ARE YOU SMARTER THAN A MILLENNIAL?

Using your smart phone,

visit www.kahoot.com

and await your game PIN

to find out…

http://www.kahoot.com/

THE MILLENNIAL STUDENT

Challenges

• Easily bored

• “Experts” at multi-tasking

• Always connected

• Expect Instant gratification

• Want instant information and feedback

• Expect rubrics

• Over scheduled

• Over tested/labeled

Advantages

• Intensely creative outside

of the classroom

• Tech savvy

• Can evaluate things from

many perspectives

• Aren’t afraid to ask

questions

• Socially aware

• Value community

BUT CALCULUS IS CALCULUS

𝑓′(𝑥) 𝑑𝑦

𝑑𝑥

LESSONS FROM OUR AMATYC STANDARDS

Quoted from Beyond Crossroads:

Once students are in the classroom, they must apply the skills necessary for success. Students should:

• Play an active role in the learning of mathematics by applying strategies to expand their learning skills

• Create, think, and reflect about mathematics concepts

• Engage in activities to develop employability skills, such as team projects and on-time submission

• Become self-motivated learners

THEN ALONG CAME MARY…

LESSONS FROM AN EXPERT WHO WAS PRACTICALLY PERFECT IN EVERY WAY

In every problem that must be done

We will find the exponential sum of fun

To take us to infinity and beyond

And the very task we undertake

Can become a related rate

A derivative, An integral, it’s all so very critical

And soon you are maximizing your results with a spoonful of

sugar…la la la….

CALCULUS PROJECT

• In this project your group will review some important topics we

have learned this semester. Each group will create problems in context using the topics below, provide detailed symbolic solutions with accompanying graphical support for those problems and present them using business proper vehicles of communication (e.g. power points, videos, trifold boards, etc.). You must explain the mathematical reasoning behind your work in each application. You will also be graded on the level of difficulty of your application as well as its correctness. Your group will provide a word document which gives each application and solution in homework format which will be used to grade your project. You must support your work with electronically generated graphs where applicable and embed the graphs within both your word document transcript and presentation.

CALCULUS PROJECT

• Mandatory Topics (you must include one of each type in your project):

• Related Rates

• Optimization

•

• Free Choice Topics (you must choose 2 of these topics to put into your project):

• Limits and Continuity

• Average and Instantaneous Rates of Change

• Straight Line Motion of a Particle

• The Mean Value Theorem

• Differentials

• Newton’s Method

• Riemann Sums

• Area Between Two Curves

CALCULUS PROJECT

Content Context/Explanations Difficulty/Correctness Totals Earned

Related Rates 8 8 16

Optimization 8 8 16

Free Choice 1 8 8 16

Free Choice 2 8 8 16

Rubric

Presentation Totals

Transcript handout of problems with detailed solutions (Word document typed using equation editor and in homework format with embedded graphs…no scans) 1. Related Rates 2. Optimization

3. Free Choice #1 4. Free Choice #2

16 16

Professional Communication of Project (power point, video, etc.) graded on quality

15 15

Creativity 5 5

Totals 100

A SPOONFUL OF SUGAR STUDENT WORK

A SPOONFUL OF FUN THE CRAZY TRIP TO SCHOOL

A SPOONFUL OF FUN CRAZY TRIP TO SCHOOL STYLE

Even Calculus

students need

to watch

algegra!!!!

A SPOONFUL OF FUN THE CRAZY TRIP TO SCHOOL STYLE

A SPOONFUL OF FUN CRAZY TRIP TRANSCRIPT---

• 𝑡 𝑥 =4+𝑥2

10+

5−𝑥

45

• 𝑡 𝑥 =1

104 + 𝑥2

1

2 +1

45(5 − 𝑥)

• 𝑡′ 𝑥 =1

10

1

22𝑥

4+𝑥212

+1

45−1 =

𝑥

10 4+𝑥2−

1

45

A SPOONFUL OF SUGAR HOME IMPROVEMENT STYLE

A SPOONFUL OF FUN HOME IMPROVEMENT STYLE




And the

Dimensions

are????



Hmm……

did you

solve the

problem?









A SPOONFUL OF FUN ZOMBIE STYLE

A SPOONFUL OF SUGAR ZOMBIE STYLE





SPOONFUL OF SUGAR ZOMBIE STYLE

A SPOONFUL OF FUN STAR TREK STYLE

A SPOONFUL OF FUN STAR TREK

A SPOONFUL OF FUN STAR TREK

A SPOONFUL OF FUN STAR TREK STYLE

Really?????

Really???

Watch

that

derivative

!!!

SPOONFUL OF SUGAR STAR TREK STYLE



A SPOONFUL OF SUGAR HOLIDAY STYLE












SPOONFUL OF SUGAR HOLIDAY STYLE

A SPOONFUL OF SUGAR MAGICAL STYLE

A SPOONFUL OF SUGAR HARRY POTTER STYLE

After encountering a

dementor Let’s relate


Dementor Avoided… Off to Catch the train.

A SPOONFUL OF CALCULUS HARRY POTTER STYLE

Hermoine can’t wait to take

her new Muggle class

“Calculus” First day of Charm’s class


You’ll put your eye out…

Calculus with the wave of a

wand


Extending to Calculus II Calculus has no limits


A game of Quidditch Calculus fun and games


They lived mathematically ever after

MEASURING UP---SPIT/SPOT

Assessment Success Rate on Related

Rates and Optimization

Over Two Semesters**

Common Intervention Percent above 70%

79%

Project Average

75%

Final Exam Percent above 70%

60%

48% course-wide

DISCUSSION

• What types of things do you do to reach this

generation of learners?

• How do you address these historically low

performing Learning Objectives in your classes?

• How many of you use projects in your classes? How

do you assess group work?

SWEET MOMENTS

B E T H T S A I W T C C

m b t s a i w a k e t e c h . e d u

THANKS FOR ATTENDING Wishing You a Delightful Conference that is

practically perfect in every way

Documents

Just a Spoonful of sugar…