Math Mammoth Geometry 2 continues the study of geometry after Math Mammoth Geometry 1, and is most suitable for grade 6. It concentrates on area of triangles; area of polygons; nets and surface area of prisms and pyramids; and volume of rectangular prisms with sides of fractional length.
The book starts out with a review of the different types of quadrilaterals and triangles and some basic drawing exercises. In these drawing problems, students will need a ruler to measure lengths and a protractor to measure angles.
One focus of the book is the area of polygons. To reach this goal, we follow a step-by-step development. First, we study how to find the area of a right triangle, which is very easy, as a right triangle is always half of a rectangle. Next, we build on the idea that the area of a parallelogram is the same as the area of the related rectangle, and from that we develop the usual formula for the area of a parallelogram as the product of its base times its height. This formula then gives us a way to generalize finding the area of any triangle as half of the area of the corresponding parallelogram.
Finally, the area of a polygon can be determined by dividing it into triangles and rectangles, finding the areas of those and summing them. Students also practice their new skills in the context of a coordinate grid. They draw polygons in the coordinate plane and find the lengths of their sides, perimeters and areas.
Nets and surface area is another major topic. Students draw nets and determine the surface area of prisms and pyramids using nets. They also learn how to convert between different area units, not using conversion factors or formulas, but using logical reasoning where they learn to determine those conversion factors themselves.
Lastly, we study the volume of rectangular prisms, this time with edges of fractional length. (Students have already studied this topic in fifth grade with edges that are a whole number long.) The basic idea is to prove that the volume of a rectangular prism can be calculated by multiplying its edge lengths even when the edges have fractional lengths. To that end, students need to think how many little cubes with edges 1⁄2 or 1⁄3 unit go into a larger prism. Once we have established the formula for volume, students solve some problems concerning the volume of rectangular prisms.

### Details

- Publication Date
- Aug 31, 2010
- Language
- English
- Category
- Education & Language
- Copyright
- All Rights Reserved - Standard Copyright License
- Contributors
- By (author): Maria Miller

### Specifications

- Pages
- 75
- Binding
- Perfect Bound
- Interior Color
- Color
- Dimensions
- US Letter (8.5 x 11 in / 216 x 279 mm)