Math 20 Math 25 Math Tips davidvs.net |

If you are looking for my collection of math games, click here.

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.

Online Gradebook

Our class keeps track of achievement progress using a Google Sheet.

Week 1, Tuesday | Week 1, Thursday |

Week 2, Tuesday | Week 2, Thursday |

Week 3, Tuesday | Week 3, Thursday |

Week 4, Tuesday (and spreadsheet) | Week 4, Thursday (and midterm PDF) |

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 |

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.

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.

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.

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.

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.

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.

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.

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.

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.

These achievements have special rewards.