Math 20 Math 25 Math Tips davidvs.net

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## Welcome to Math 25!

Our syllabus describes the class calendar, homework, grading, and other important information.

Math 25 builds off of Math 20 concepts and skills. There is not a lot of new math to learn. With lectures, discussions, and projects we review ratios, proportions, percents, and scale factors so a vague understanding of those topics grows into a solid understanding about how and when to use those ideas in real life.

As an analogy, most students leave Math 20 knowing what a "pliers" is. They understand how to use one. But in real life there are many kinds of pliers, each appropriate in different situations, and each used slightly differently.

Math 25 is about making your own "math toolbox". By the end of the term you will understand the different kinds of ratios, proportions, percents, and scale factors. You will know which are appropriate in various real-life situations, and how they are used slightly differently depending on the situation.

## Archived Board Work

 Week 1, Tuesday Week 1, Thursday Week 2, Tuesday Week 2, Thursday Week 3, Tuesday (and spreadsheet) Week 3, Thursday (and spreadsheet) Week 4, Tuesday (and midterm) Week 4, Thursday Week 5, Tuesday Week 5, Thursday Note: the Week 5 Thursday PDF file is corrupt. Here is similar board work from past terms: 1, 2, 3, 4 Week 6, Tuesday Week 6, Thursday Week 7, Tuesday Week 7, Thursday Week 8, Tuesday (and spreadsheet) Week 8, Thursday Week 9, Tuesday (and spreadsheet) Week 9, Thursday Week 10, Tuesday (and practice final) Week 10, Thursday (and practice final)

## Online Lecture Notes

Topic In-Class Activity Facts Formulas Homework
Patterns
Toothpick Patterns

Tautological Tiles

Triangle Formula

Homework
Health
Which Rate?

Calories

Heart Rate, BMR, DCI

Homework
Kitchen
Trimming

Yield Percent

Spoon to Cup

Homework
Typicality
Typicality

Bell Curves

Mean & Median

Homework
Interest
6 Years of Rent

Simple Interest

Compound Interest

Homework
Investing
The Rule of 72

Mortgages

Sum of Annuity Due

Homework
Pricing
Charge Options

Markup & Discount

Entrée Pricing

Homework
Likelihood
Spinner Games

Probability & Odds

Weighted Average

Homework

## Achievements

This class uses achievements instead of a gradebook. Every assignment has an achievement for completing it.

The list of achievements looks very long. Well, it is very long! But you will start checking off stars quickly. Your progress is easy to see. The requirements to improve your grade are clear.

### Homework

Math 25 covers eight topics: patterns, health, kitchen, typicality, interest, investing, pricing, and likelihood.

For each topic there is a lot of homework. Expect to spend 3 to 6 hours each week doing homework if you have an average Math 20 foundation. Students are encouraged to use study groups for all types of homework.

There are homework problems to try at home and then talk about in class. These have answers provided and are not turned in. Try them first. They make our class discussions more meaningful.

There are homework problems that change each time you load the webpage for endless practice. These also have answers provided and are not turned in. Try them second. Do as many as you need to master the topic.

#### Icing on the Cake Homework

Then there is the Icing on the Cake homework. These problems have no answers provided. There is a due date to turn them in. This is your chance to prove that you can mimic sample problems to get correct answers. You have learned the skills needed to follow procedures and use formulas.

Completing the Icing on the Cake requires getting 80% or more of the problems correct. If you do worse, you might be asked to fix your work and resubmit it. Or you might be asked to try a different set of similar homework problems.

 Re Mi Do Do So complete the Icing on the Cake homework for the Patterns topic The Doctor is In complete the Icing on the Cake homework for the Health topic
 Nom Nom Nom complete the Icing on the Cake homework for the Kitchen topic You Are All Individuals complete the Icing on the Cake homework for the Typicality topic
 Got My Mind On My Money complete the Icing on the Cake homework for the Interest topic Going To Need A Bigger Bag complete the Icing on the Cake homework for the Investing topic
 Step 4: Profit complete the Icing on the Cake homework for the Pricing topic Dice of Many Faces complete the Icing on the Cake homework for the Likelihood topic

For each topic the very last homework assignment is a concepts task that tests your ability do use and communicate deductive reasoning.

Can you write about how a word problem applies to a broader real-life situation? Can you solve a word problem that requires using more than one skill in a way that does not mimic an example problem?

The concepts task problems have no answers provided. There is no due date to turn them in. Completing the concepts task requires getting every problem correct. If you do not, you will be asked to fix your work and resubmit it.

 I See What You Did There complete the concepts task for the Patterns topic Holistic Wellness complete the concepts task for the Health topic
 Culinary Completionist complete the concepts task for the Kitchen topic Above Average complete the concepts task for the Typicality topic
 Power Overwhelming complete the concepts task for the Interest topic Three Bags Full complete the concepts task for the Investing topic
 Peddle to the Medal complete the concepts task for the Pricing topic Absolutely Relative complete the concepts task for the Likelihood topic

### Class Participation

These emerald achievements do not assess your ability to use math. Instead they record how engaged you were with the class. I believe Robert Talbert first had the idea to use + and − to emphasize student engagement.

 The Danger Zone turn in half the homework assignments on time Ludicrous Speed turn in all the homework assignments on time
 3 Minutes of Fame do a problem on the board during class Anyone? Anyone? do four problems on the board during class
 Someone's Got My Back visit the MRC, CAR, and TRiO Habit Builder write a study skill reflection about all eight study-skill topics
 Time Capsule turn in written syllabus quiz, discussion of cores, and end-of-term reflection I Love It When a Plan Comes Together after the midterm turn in a detailed study plan
 Swiss Army Knife for four topics turn in a page of notes with all 8 characteristics of well-written notes Handwriting Analysis for four topics turn in a page of homework with all 16 characteristics of well-written problems
 Spelunker find two new online videos explaining our math topics Actively Healthy attend 16 or more classes
 Goldboss turn in six Math 20 or Math 25 practice finals Field Photographer turn in photos of three study groups you attended
 What a Long Strange Trip It's Been earn 8 other emerald class participation achievements earn a + in the class An Awfully Big Adventure earn every other emerald class participation achievement

#### Wood League

Skills are the foundation for each topic. Completing the Icing on the Cake homework assignments is great and should be acknowledged!

If you can follow procedures and mimic example problems then you are capable with the right support. But procedures alone will not be enough to assure success in your next math class or in improving your career potential. Being able to understand math concepts more deeply is crucial.

Earning a D shows that you are capable with a handful of skills, and you deeply understand one topic. You are not yet prepared to move on, but are learning.

 Three Shall be the Number complete three Icing on the Cake homeworks Singular Sensation complete one concept task
 Doesn't Go to Eleven score 100% on one Icing on the Cake homework I am so smart! S-M-R-T! earn all other Wood League achievements earn a D in the class

#### Bronze League

Earning a C shows that you can use the skills for more than half the topics, and deeply understand at least two topics. Perhaps your term was too busy with real-life issues for you to excel with homework, but you studied hard enough before the tests.

You are prepared to move on. You can expect what you learned to be a little helpful in your next math class or in a career.

If you want to complete all of the Bronze League achievements before the end the term, take a proctored final exam in the MRC. If you score 65% or higher you can check off the appropriate achievement early! Your actual final exam becomes a chance to improve your score.

 The Fifth Element complete five Icing on the Cake homeworks Dynamic Duo complete two concept tasks
 Wrecking Ball score 100% on two Icing on the Cake homeworks Not in Kansas Any More earn two emerald class participation achievements
 Smelled Like...Victory earn 65% or more on the final exam Safety Dance earn all other Bronze League achievements earn a C in the class

#### Silver League

Earning a B shows that you are proficient in almost all skills, deeply understand most concepts, and you can discuss other people's math. You are noticeably above average. Future teachers and employers look forward to this type of person.

 Skills to Pay the Bills complete seven Icing on the Cake homeworks Law of Fives complete five concept tasks
 And That's The Way It Is do one article report Connect Four earn four emerald class participation achievements
 Above Reproach earn 75% or more on the final exam Ahead of the Curve earn all other Silver League achievements earn a B in the class

#### Gold League

Earning an A shows that you are proficient in all skills and nearly all concepts, and you can not only discuss other people's math but also create and present using our math topics in an original and practical way.

 Jack of All Trades complete all 8 Icing on the Cake homeworks Now I Am the Master complete seven concepts tasks
 More Details Just Arrived do two article reports This Isn't Even My Final Form earn six emerald class participation achievements
 That's Not a Moon complete and present a project I Can't Hear You Over the Sound of How Awesome I Am earn all other Gold and Silver League achievements earn an A in the class

### Feats of Strength

These achievements have special rewards.

 These Go to Eleven get more than enough problems to earn 100% correct on the final exam this achievement can count as any other!(except "Hero of the Realm") Hero of the Realm earn every other achievement You may have your name in the appropriate "trophy case" bulletin board in the math division