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Math Mammoth Percent

65 pages
(of which 44 are lesson pages)
Price: $3.50 download

Buy printed copy
at Lulu - $10.60, b&w

Sample pages (PDF)
Contents and Introduction
Review
What Percentage...?
Percentage of a Number
Discounts
Percent of Change

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Math Mammoth Percent teaches students the concept of percent, percentage of a number, discounts, sales tax, percent of change, circle graphs, and percent of comparison. It is suitable for 6th-8th grade (middle school).

The concept of percent builds on a student's understanding of fractions and decimals. Specifically, students should already be very familiar with the idea of finding a fractional part of a whole (such as finding 3/4 of $240). Students who have used Math Mammoth have been practicing that concept since 4th grade, and one reason why I have emphasized finding a fractional part of a whole so much in the division and fraction materials in the earlier grades is specifically to lay a groundwork for the concept of percent. Assuming the student has mastered how to find a fractional part a whole, and can easily convert fractions to decimals, studying percent in middle school should not be difficult.

The first lesson, Percent, practices the concept of percent as 1/100, and how to write fractions and decimals as percentages. Next we study What Percentage? in order to cement the basic idea of questions where percentage (or how many percent) is asked: students write the asked part first as a fraction, and then convert that to a percentage.

The lesson that follows, Percentage of a Number, teaches how to find a certain percentage of a quantity using mental math techniques. For example, students find 10% of $400 by dividing $400 by 10. In the next lesson, students find a percentage of a quantity using decimal multiplication, including using a calculator. For example, to find 17% of 45 km, students multiply 0.17 × 45 km.

Then follow lessons about discounts and sales tax, important applications in everyday life. Next we go on to the lesson Practice with Percent, which contrasts the two types of problems: questions that ask for a certain percentage of a number (the percentage is given), and questions that ask for the percentage. For example, the first type of question could be “What is 70% of $380?”, and the second type could be “What percentage is $70 of $380?”

I also present one optional lesson titled Backwards Questions with Percent, where students need to figure out “the whole” when a partial amount and a percentage are given. For example: “Three-hundred twenty students, which is 40% of all students, take additional PE. How many students are there in total?”

Then follows one lesson concentrating on tenth of a percent. Thus far, all the material has been with whole percents. From this lesson on, we will also use tenth of a percent (such as 13.4%). We go on to compare ratios, fractions, and percent in one lesson. Next, students study how to make a circle graph.

The last major topic is percent of change. This deals of course with decreases and increases in quantities (such as prices). We also study how to find the percent of change when the original and new amount are known.

Tying in with percent of change, there is one lesson on Comparisons with Percent. It ties in, because the way to solve comparisons involving percent (such as how many percent less/more is one thing than another) is identical to finding percent of change.

As an example how I like to teach using mental math in finding percentages of numbers, see also this video of mine:

Percentages with Mental Math video

Better Yet - Package Deals!
Blue Series package - $90 (download) or $95 (CD)
Blue Series for grades 1-3 - $38 (download)
Blue Series for grades 4-6 - $52 (download)
Golden/Green Series package - $65 (download) or $70 (CD)
Light Blue Series package - $118 (download) or $123 (CD)
All Inclusive package - $177 (download) or $182 (CD)
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*BONUS*: Buy any package listed above, and get the fully upgraded Soft-Pak software with more features and options for FREE (includes 4 math, 1 language arts, 2 testing programs).

*BONUS* - SOFT-PAK MATH SOFTWARE

I bet you'd have to agree: this is a steal! You can get Soft-Pak math programs (list price $24.95) for just a small $3.50 s&h fee - just by ordering ANY of my books at Kagi or CurrClick!

* Math Maker, for printable math activities with answer keys
* Math Master, for on screen practice of various math topics
* Math User, for answering the 900 multi-level word problems
* True/False Math Challenger for mastering facts 1-12


NOTE: if you purchase one of the package deals at Kagi store, you will get Soft-Pak in the download or included on the CD for FREE.

Soft-Pak may also be purchased at great 75% discount without a Math Mammoth purchase - click here for details.

How and where to order

You can buy Math Mammoth books at:

• Kagi store - all of the downloads and CDs. I maintain five different order pages at Kagi:
  • One for the Blue series,
  • another for the Golden and Green Series, and
  • third for the Light Blue complete curriculum products, and
  • one more for the Packages (CDs or downloads).
  • And yet an order page for Make It Real Learning workbooks.

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  After completing the order at Kagi, you will see the download links on the receipt page. You will also receive an email with download links for each book you bought, or for a zip file for the packages. You click on the links and download the books to your computer's hard drive.

  In case of any problems with the download, you can always email me, and I can email the books to you directly. My contact info will be in the email you receive.

  
   
• CurrClick.com carries all Blue, Golden, and Lightblue series books as downloads. They accept credit cards and Paypal. You will be able to download the products immediately upon the purchase, and also return to your account at CurrClick to redownload.
• Lulu has printed copies for the Blue, Golden, and Light Blue series books. For each book at MathMammoth.com, you can find a link to the printed copy sold at Lulu on each individual book's page (right sidebar).

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By purchasing any of the books, permission IS granted for the teacher (or parent) to reproduce this material to be used with his/her students in a teaching situation; not for commercial resale. However, you are not permitted to share the material with another teacher.

In other words, you are permitted to make copies for the students/children you are teaching, but not for other teachers' usage.