The Light Blue Series

This document has the following sections:

Basic principles in using Math Mammoth Complete Curriculum

How to get started

Pacing the curriculum

Using tests

Using cumulative reviews and the worksheet maker

Concerning challenging word problems and puzzles

Frequently asked questions

Contact the author

How to get started

Pacing the curriculum

Using tests

Using cumulative reviews and the worksheet maker

Concerning challenging word problems and puzzles

Frequently asked questions

Contact the author

Math Mammoth Complete Curriculum is not a scripted curriculum. In other words, it is not spelling out in exact detail what the teacher is to do or say in a specific lesson. Instead, Math Mammoth gives you, the teacher, various tools for teaching:

**The two student worktexts**(parts A and B) are the most important part of the curriculum. These contain all the lesson material and exercises, and INCLUDE the explanations of the concepts (the teaching part) in blue boxes. The worktexts also contain some advice for the teacher in the “Introduction” of each chapter.

The teacher can read the teaching part of each lesson before the lesson, or read and study it together with the student in the lesson, or let the student read and study it on his own. If you are a classroom teacher, you can copy the examples from the “blue teaching boxes” to the chalkboard and go through them on the chalkboard.

- The "Introduction" part of each chapter (within the student worktext) has a
**link list to various free online games**or other resources on the Internet. These games can be used to supplement the math lessons, for learning math facts, or just for some fun.

- There is one
**Cumulative Review**for each chapter, excluding the first chapter. These cumulative reviews are supplied as separate PDF files.

- Each chapter has a
**Chapter Test**, again supplied as a separate PDF file.

- The
**Worksheet Maker**allows you to make additional worksheets for most calculation-type topics in the curriculum. This is a single html file. You will need Internet access to be able to use it.

- Some grade levels have
**cutouts**to make fraction manipulatives or geometric solids.

- On the MathMammoth.com website, you will find
**accompanying teaching videos**, matched to the lessons of the curriculum. There isn't a video for every lesson, but there are dozens of videos for each grade level.

- Again on the MathMammoth.com website, we also offer
**free online math practice**for some topics (e.g. multiplication tables, mental addition & subtraction, fact families, factors, fractions & decimals). This is an expanding section of the site, so check often to see what new topics we are adding to it!

Simply start out by printing the first lesson from the student worktext. Study the teaching part (within the blue boxes) together with your child. Go through a few of the exercises together, and then assign some problems for your child to do on his/her own. You can also let the child study the lesson completely on his own if you feel he/she is capable.

The lessons in Math Mammoth complete curriculum are NOT intended to be done in a single teaching session or class. Sometimes you might be able to go through a whole lesson in one day, but more often, the lesson itself might span 3-5 pages and take 2-3 days or classes to complete.

Therefore, it is not possible to say exactly how many pages a student needs to do in one day. This will vary. However, it is helpful to calculate a general guideline as to how many pages per week you should cover in the student worktext in order to go through the curriculum in one school year (or whatever span of time you want to allot to it).

The table below lists how many pages there are for the student to finish in this particular grade level, and gives you a guideline for how many pages per day to finish, assuming a 200-day school year.

Example:

Grade level | Lesson pages |
Number of school days |
Number of days for tests and reviews |
Number of days for studying the student book |
Pages to study per day |
Pages to study per week |
---|---|---|---|---|---|---|

5-A | 190 | 99 | 10 | 89 | 2.13 | 10.7 |

5-B | 200 | 101 | 8 | 93 | 2.15 | 10.8 |

Grade 5 total | 390 | 200 | 18 | 182 | 2.14 | 10.7 |

The table below is for you to fill in. First fill in how many days of school you intend to have. Also allow several days for tests and additional review before the test — at least twice the number of chapters in the curriculum. For example, if the particular grade has 8 chapters, allow at least 16 days for tests & additional review. Then, to get a count of “pages/day”, divide the number of pages by the number of available days. Then, multiply this number by 5 to get the approximate page count to cover in a week.

Grade level |
Lesson pages |
Number of school days |
Number of days for tests and reviews |
Number of days for studying the student book |
Pages to study per day |
Pages to study per week |
---|---|---|---|---|---|---|

5-A | 190 | |||||

5-B | 200 | |||||

Grade 5 total | 390 |

Now, let's assume you determine that you need to study about 2 pages a day, or about 10 pages a week in order to get through the curriculum. As you study each lesson, keep in mind that sometimes most of the page might be filled with blue teaching boxes and very few exercises. You might be able to “cover” 2 1/2 pages on such a day. Then some other day you might only assign one page of word problems. Also, you might be able to go through the pages quicker in some chapters, for example when studying graphs, because the large pictures fill the page so that one page does not have many problems.

When you have a page or two filled with lots of similar practice problems (“drill”) or large sets of problems, feel free to **only assign 1/2 or 2/3 of those problems**. If your child gets it with less amount of exercises, then that is perfect! If not, you can always assign him/her the rest of the problems some other day. In fact, you could even use these unassigned problems the next week or next month for some additional review.

In general, first and second graders might spend 25-40 minutes a day on math. Third and fourth graders might spend 30-60 minutes a day. Fifth and sixth graders might spend 45-75 minutes a day. If your child finds math enjoyable, he/she can of course spend more time with it! However, it is not good to drag out the lessons on a regular basis, because that can then affect the child's attitude towards math.

There is generally a test for each chapter (with a few exceptions), which can be administered right after studying the chapter. **The tests are optional.** Some homeschooling families might prefer not to give tests at all. The main reason I have provided tests is for diagnostic purposes, and so that homeschooling families can use them for their record keeping. I have not provided any grading system for the chapter tests. You can grade them however you wish. These tests are not aligned or matched to any standards.

These test files are located in their own folder. They are provided as PDF files and html files. Backup files are also provided. If you print the html files from your web browser, set the margins to 0.6 inches in the Page Setup. You can also set your header and footer in the Page Setup of your browser.

You can open the html files in most any word processor program for editing. Then you can edit the test and change the numbers or problems in it. However, remember to save the edited test files under a different file name, or you will lose the original test file. If this happens anyway, and you wish to go back to the originals, backup files are provided in a folder called /backup-copies/.

The end-of-the-year test has a suggestion for grading. This test is best administered as a diagnostic or assessment test, which will tell you how well the student remembers and has mastered the math content for the entire grade level.

There is a cumulative review matched for each chapter, except for chapter 1. For example, the review titled “Cumulative Review, Chapters 1 - 4” means that the problems in that review cover topics from chapters 1-4. These cumulative reviews are available as htm and pdf files. You are welcome to edit the htm files for the purpose of providing a slightly different review for your student. For example, you can easily change the numbers in the problems.

**Use the corresponding cumulative review some time after you are done studying a particular chapter.** For example, you could use the “Cumulative Review, Chapters 1 - 4” right after or before administering chapter
the 4 test. Or, you could use it 1-2 weeks after finishing chapter 4.

There are no hard and fast rules when it comes to cumulative reviews. It is not necessary to use all of them within a school year; however I do recommend that you use at least 1/2 of them.

One of the **main reasons** for the cumulative reviews is to **spot any areas** that the student **has not grasped well or has forgotten,
so he/she needs additional practice**. When you find such a topic or concept, you have several options:

- Check if the
**worksheet maker**lets you make worksheets for that topic (for example, conversions between measuring units or equivalent fractions). - Check for any
**online games**in the*Introduction*part of the particular chapter in which this topic or concept was taught. - Check if our online practice section has something for that topic.
- You might also be able to simply
**reprint the lesson**from the student worktext and have the student restudy that. - Or, maybe you only assigned 2/3 of the exercise sets the first time through, and can now
**use the remaining exercises**. - Occasionally a lack or a mistake is not of concern. This is true if the topic either is going to be taught in-depth
*or*can safely be delayed to the*next*grade level.

Such topics in grade 5 include exponents, mean (average), and introduction to ratios.

Another sign that the student has not grasped a necessary concept is if he/she cannot do WORD PROBLEMS in the subsequent chapters that require past knowledge or concepts. If your child has great difficulty with those kinds of word problems, then it might be time to use the worksheet maker, online games, or restudy the concept using the worktext. I have always tried to make the word problems progressively so that they involve concepts and skills studied in earlier chapters.

While this is not absolutely necessary, I heartily recommend supplementing Math Mammoth with challenging word problems and puzzles. You could do that once a month, for example, or more often if the student enjoys it.

The goal of challenging story problems and puzzles is to **develop the
student’s logical and abstract
thinking and mental discipline**. I recommend starting these in fourth grade, at the latest.
Then, students are able to read the problems on their own and have developed mathematical knowledge in many different areas. Of course I am not discouraging students from doing such in earlier grades, either.

Math Mammoth curriculum contains lots of word problems, and they are usually multi-step problems. Several of the lessons utilize a bar model for solving problems. Even so, the problems I have created are usually tied to a specific concept or concepts. I feel students can benefit from solving problems and puzzles that require them to think “out of the box” or are just different from the ones I have written.

You can use the resources below for some problem solving practice. You can find more puzzles online by searching for "brain puzzles for kids," "logic puzzles for kids," or "brain teasers for kids." Choose something that fits your budget (most of these are free) and that you and your students will like.

**Problem Solving Decks from North Carolina public schools**

Includes a deck of problem cards for grades 1-8, student sheets,
and solutions. Many of these problems are best solved with calculators. All of
these problems lend themselves to students telling and writing about their
thinking.

https://www.homeschoolmath.net/teaching/problem-solving-decks.php

**Math Stars Problem Solving Newsletter (grades 1-8)**

These
newsletters are a fantastic, printable resource for problems to solve and their
solutions.

https://www.homeschoolmath.net/teaching/math-stars.php

**Problem Solving from MathWire.com**

Neat and creative problems to solve for K-8.

http://www.mathwire.com/problemsolving/probs.html

**Step-by-Step Problem Solving, Grade 4**

A problem-solving workbook that provides step-by-step instruction, problem pages at varied levels of difficulty, a math strategies overview, and a complete answer key. The book utilizes bar models just like Math Mammoth and Singapore Math. Other grades available also.

www.amazon.com/Step-Problem-Solving-Carson-Dellosa-Learning/dp/1609964799?tag=mathmammoth-20

**Challenge Math For the Elementary and Middle School Math Student**

Over 1,000 math word problems for children in grades 4-8. Answers are included in the back of the book. ISBN
978-0967991559.

https://www.amazon.com/Challenge-Elementary-Middle-Student-Edition/dp/0967991552/?tag=mathmammoth-20

**Mathematics
Enrichment - nrich.maths.org**

Open-ended, investigative math challenges for all levels from the UK. Use
Stage 3 problems for 7th grade.

http://nrich.maths.org/

http://nrich.maths.org/public/themes.php
lets you find problems organized by mathematical themes.

**Figure This! Math
Challenges for Families**

Word problems related to real life. They do not always have all
the information but you have to estimate and think. For each problem, there is a
hint, other related problems, and interesting trivia. Website supported by
National Council of Teachers of Mathematics.

http://figurethis.nctm.org/

**MathCounts School Handbook (PDF)**

This handbook contains 300 creative problems for grades 6-8. All problems are
mapped according to topic, to difficulty level, and to the Common Core State
Standards.

https://www.mathcounts.org/resources/school-handbook

**“Problem of the Week” (POWs)**

Problem of the week contests are excellent for finding
challenging problems and for motivation. There are several:

**Math Contest at Columbus State University**

Elementary, middle, algebra, and “general” levels.

http://themathcontest.com/

**Math Olympiads**

A math problem solving competition for teams (groups of students) from schools or home schools. For grades 4-8.

http://www.moems.org/

**American Mathematics Competitions**

America's longest-running math contests. There is one for middle school students and two for high school students.

https://www.maa.org/math-competitions

**Paul Erdös International Math Challenge**

This is open to any child in three different age groups.

http://inside.gcschool.org/abacus/

See even more word problem and problem solving resources at

https://www.homeschoolmath.net/online/problem_solving.php

You can also use puzzles from the Internet:

Search in Google for “brain puzzles for kids”

Search in Google for “logic puzzles for kids”

Search in Google for “brain teasers for kids”

Please read the FAQ at the Math Mammoth website.

In case of any further questions (but please first check the FAQ!) about the curriculum, you can contact me at www.mathmammoth.com/contact.php.

I wish you success in teaching math!

Maria Miller