Math 20 Math 25 Math Tips davidvs.net |

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.

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 Math |
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 |

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

For each topic there is a **skills quiz** that tests your ability do follow procedures that mimic sample problems. Can you plug numbers into a formula? Can you follow a step-by-step process to turn a word problem into a proportion and then find the answer? And so forth.

Passing a skills quiz requires getting 80% of the problems correct. You can attempt a quiz each class. These attempts can be either taking a quiz for the first time or retaking a new version of a quiz you already attempted. (You may also do extra attempts during instructor office hours.)

Skills are the foundation for each topic. Learning most of them is great and should be acknowledged! If you can follow procedures your effort is not completely failing. But procedures alone will not be enough to support you in your next math class or in improving your career potential.

For each topic there is also 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?

Earning a C shows that you can use the skills for all topics *and* deeply understand at least two topics. You are prepared to move on. You can expect what you learned to be of help in your next math class or in a career.

Moving up from a grade of D to C requires the last skills quiz, two concepts tasks, and two perfect skill quizzes. Usually the concept quizzzes and perfect skill quizzes will be from the same topics but this is not required.

Earning a B shows that you are proficient in 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.

Moving up from a grade of C to B requires three more concepts tasks, an article report, and a slightly higher final exam score.

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.

Moving up from a grade of B to A usually requires two more concept quizzes, one more article report, and a project that includes both a written portion and a class presentation. Although it appears that Gold League has many requirements, at least half will already be completed when you finish Silver League.

The next set of achievements are different. They do not assess your ability to use math. Instead they record how engaged you were with the class.

If you earn only **4 or fewer** of the Emerald League achievements then your letter grade gets a minus to show you were minimally engaged in the class.

If you earn **8 or more** of the Emerald League achievements then your letter grade gets a plus to show you were very engaged in the class.

Using + and − this way is useful to tell future teachers and employers about your dedication as well as your ability to use math.

I believe Robert Talbert first had the idea to use + and − to emphasize student engagement.

These achievements do not affect your grade. They exist because it is fun to complete achievements and earn stars!

These achievements have special rewards.

If you have forgotten your code name, please ask during office hours, or request a reminder by text or e-mail. Your instructor does not have your code name memorized and cannot help you during class!

Our class also has six students that decided to use a paper copy of the achievement list, which they could fill with real life star stickers as they earn achievements.