Math Mammoth Geometry 1 Workbook
Math Mammoth Geometry 1 is a downloadable ebook that gives the student a thorough view of basic plane geometry, as taught in elementary grades. The emphasis is on learning through drawing.
The book is not tied to any grade level but the topics match best 3rd, 4th, and 5th grade geometry.
When looking through most math books, you would think that kids learn geometry by looking at figures. Geometry chapters are always filled with pictures, accompanied with some problem about it.
BUT, it's not enough to just look at pictures of food or read recipes to learn to cook, and similary if you want to learn plane geometry, you need to make the students draw, DRAW themselves.
It is a hands-on type of thing - let them draw and thereby learn. Of course, not just draw ramdomly, but with certain guided exercises. The idea is that if you can draw it, then you understand it. Yet, drawing can also be easy and fun!
Topics of Math Mammoth Geometry 1 ebook include angles, parallel & perpendicular lines, triangles, quadrilaterals, polygons, circles, symmetry, congruent and similar figures, congruent transformations, perimeter, area, volume, and solids.
The ebook is a complete unit of geometry instead of little bits and pieces scattered through the school years. It is suitable for about third-fifth (even sixth) grade. It is also excellent for self-teaching studies even at higher levels where review is needed.
From a parent who has used Geometry 1 with a 4th grader:
This book is quite good for building fundamental knowledge for children who are learning geometry. This is more than enough, comparing mine when in same grade 30 years ago.
Regards,
Slamet Suryanto
From a teacher who used Geometry 1 with 7th graders:
My students enjoyed the review!
Prudence Jencka
See also a review of Geometry 1 book by Sol Lederman.
Contents and Samples
The lesson Lines, Rays, and Angles concentrates on the concept of angle and how to tell which angle is 'bigger'. You can show the student with two pens how the angle opens and gets bigger. You can also use longer pens, etc., and demonstrate how the measure of the angle does not depend on the size of the sides but instead of "how much it has opened" or how much of the arc of the circle it has drawn.
Measuring Angles (sample) is a simple lesson teaching how to measure and draw angles with a protractor.
Parallel and Perpendicular Lines not only explains these terms, but also studies angles formed when a line intersects two parallel lines. We arrive at parallelograms and learn something about its angles.
The lesson on Triangles (sample) classifies them according to angles (acute, right, or obtuse triangles). This lesson has lots of drawing exercises. In particular, the problems about copying a triangle prepare the student for the (high school level) concepts of congruency tests.
Angles of a Triangle is a simple lesson about the angle sum in a triangle. The picture shown actually proves the sum to be what it is.
Triangles can also be classified according to their sides, and the next lesson on Equilateral and Isosceles Triangles does just that. Again there is a lot of drawing to do.
Quadrilaterals (sample) lets the student explore the seven different kinds of quadrilaterals first by drawing various kinds. Then, the angle sum of a quadrilateral is studied. The lesson also has a quadrilaterals puzzle that stretches the mind about their attributes.
Polygons 1 has easy problems geared more towards 3rd grade, and lesson Polygons 2 continues the topic. Polygon Tilings is a fun, simple lesson with possibility for creativity.
Circles lesson (sample) concentrates on the concept itself, not on any calculations, and contains many drawing exercises where the student needs to understand the relationship between the radius and the diameter. A few of the
problems here are actual geometric constructions.
Congruent Figures briefly explores this concept. Then we go onto Similar Figures as a contrast. Again plenty of drawing problems are supplied.
Symmetry (sample) is a fairly simple lesson. After that, we study Congruent Transformations and the basics of translation, reflection, and rotation.
The last part of the book has lessons on perimeter, area, and volume.
The problems in the lesson on Perimeter (sample) aren't simply about finding the perimeter, but also touch on the "inverse" problem.
The lessons on area have a definite train of thought building up to the area of triangles. That way the formula for the area of triangles is not just a dry memorized rule but a proven and justified fact.
First of all, Getting Started with Area is meant for 3rd-4th grade, teaching the concept itself as "little squares".
Area of Rectangle (see sample) practices this concept a lot, including problems with 'compound' figures.
Area Versus Perimeter has plenty of problems where students need to distinguish and compare between these two concepts.
In the lesson Area of Right Triangles, the emphasis is on realizing how a right triangle is half of a rectangle, and so its area is also half of the area of the rectangle.
Area of Parallelograms illustrates how parallelograms have the same area as a rectangle with the same altitude and base.
Area of Triangles (sample) shows how triangles are half of parallelograms, and proves the common area rule that way.
Volume is a basic lesson about the "little cubes". Lots of word problems are included.
Three-Dimensional Figures is an exploratory lesson concentrating on remembering the names of various basic figures, and finding out about their edges, vertices, and faces.
Package deals!
Blue Series package - $53 (download) or $58 (CD)
Golden/Green Series package - $50 (download) or $55 (CD)
All Inclusive package - $91 (download) or $96 (CD)
LightBlue Series package - $72 (download)
*BONUS* With any package purchase above you will get Soft-Pak software for FREE (includes 4 math, 1 language arts, 2 testing programs).
Learn more Order packages
*BONUS* - FREE MATH SOFTWARE
With any purchase of Math Mammoth books, you will qualify to get Soft-Pak math programs (list price $24.95) for just a small $3.50 s&h fee!
* 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
With any CD purchase or Blue Series download, you will get those above plus 3 programs more, for FREE, included on the CD.
All the books on this website are available for *nearly instant download.
*Order processing at Kagi takes 1-2 hours; I do not know how quick it is at the other stores.
Most of them are also available as hardcopies.
How and where to order?
You can buy Math Mammoth books at
- Kagi store - all of the ebooks and CDs. Kagi accepts all major credit cards, Paypal, check, cash, money order, purchase order, and a wire transfer. I maintain four different order pages at Kagi:
- CurrClick.com - all Blue and Golden series books. Credit cards, Paypal.
- The Old Schoolhouse Store - the Blue Series ebooks. Credit cards, Paypal.
- Lulu - already printed hardcopies.
Kagi - my main reseller
Kagi handles all my downloadable products and the CDs, and accepts all major credit cards, checks, Paypal (USD), money orders, and even cash. Please see Kagi FAQ for any questions about the payment methods.
After completing the order at Kagi, you will 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. That's it!
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.
Buy Blue Series at Kagi
Buy Golden/Green Series
Buy Lightblue Series
Buy package downloads or CDs
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.
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