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# Math Mammoth Grade 6, South African version

Math Mammoth Grade 6, South African Version is a complete maths program for 6th grade. It consists of two student worktexts (A and B), a separate answer key for each worktext, tests, mixed revisions, and in the download version, an additional worksheet maker (Internet access required) to make extra practice worksheets when needed.

179 pages
160 lesson pages

175 pages
150 lesson pages

## Prices & ordering

(part A and B worktexts, answer keys, tests, mixed revisions, a worksheet maker, and Soft-Pak)

The two books (worktext part A and part B) deal with

• revision of the basic operations with whole numbers
• beginning algebra topics: expressions, equations, and inequalities
• revision of all decimal arithmetic
• introduction to ratios and percent
• prime factorisation, GCF, and LCM
• a revision of fraction arithmetic from 5th grade, plus a focus on division of fractions
• the concept of integers, coordinate grid, addition & subtraction of integers
• geometry: revision of quadrilaterals & drawing problems; area of triangles & polygons; volume of rectangular prisms with fractional edge lengths; surface area
• statistics: concept of distribution, measures of centre, measures of variation, boxplots, stem-and-leaf plots, histograms

Please also see the table of contents for 6-A and 6-B (in the sample files), which will let you see the topics covered in more detail.

Some main features of Math Mammoth complete curriculum (Light Blue series) are:

• focuses on understanding of mathematical concepts
• uses clear explanations, lots of visual exercises and pattern exercises
• mastery oriented: concentrates at length on a topic, with very few topics per grade
• emphasizes mental maths and developing number sense
• very little teacher preparation needed

The downloadable version includes a worksheet maker (Internet access required) that lets you make extra practice worksheets for many of the topics in the curriculum.

The PDFs in the download version are enabled for annotation. This means that if you prefer, the student can fill them in on the computer, using the typewriter and drawing tools in Acrobat Reader version 9 or greater.

## Introduction

In sixth grade, students encounter the beginnings of algebra, learning about algebraic expressions, one-variable equations and inequalities, integers, and ratios. We also revise and deepen the students' understanding of rational numbers: both fractions and decimals are studied in depth, while percent is a new topic for 6th grade. In geometry, students learn to compute the area of various polygons, and also calculate volume and surface area of various solids. The last major area of study is statistics, where students learn to summarise and describe distributions using both measures of center and variability.

The year starts out with a revision of the four operations with whole numbers (including long division), place value, and rounding. Students are also introduced to exponents and do some problem solving.

Chapter 2 starts the study of algebra topics, delving first into expressions and equations. Students practise writing expressions in many different ways, and use properties of operations and the idea of maintaining the equality of both sides of an equation to solve simple one-step equations. We also study briefly inequalities and using two variables.

Chapter 3 has to do with decimals. This is a long chapter, as we revise all of decimal arithmetic, just using more decimal digits than in 5th grade. Students also convert measuring units in this chapter.

Ratios is a new topic (chapter 4). Students are already familiar with finding fractional parts from earlier grades, and now it is time to advance that knowledge into the study of ratios, which arise naturally from dividing a quantity into many equal parts. We study such topics as rates, unit rates, equivalent ratios, and problem solving using bar models.

Percent (chapter 5) is an important topic to understand thoroughly, because of its many applications in real life. The goal of this chapter is to develop a basic understanding of percent, to see percentages as decimals, and to learn to calculate discounts.

In chapter 6, we first revise prime factorisation, and then study the greatest common factor and the least common multiple.

Chapter 7 first presents a thorough revision of fraction operations from 5th grade (addition, subtraction, and multiplication). The topic of focus in the chapter is fraction division. Students also do some problem solving with fractions.

In chapter 8, students are introduced to integers. They plot points in all four quadrants of the coordinate plane and learn to add and subtract with negative numbers. Multiplication and division of integers are studied in 7th grade.

In geometry (chapter 9), the focus is on the area of polygons. This is studied in a logical progression: first, the area of right triangles, then the area of parallelograms, then, the area of triangles, and lastly the area of polygons. We also revise some topics from earlier grades (quadrilaterals, perimeter, basic drawing). Other major topics in this chapter are calculating surface area of some solids using nets, and volume of rectangular prisms with fractional edge lengths.

Lastly, in chapter 10, students study statistics. The focus idea is that of a statistical distribution. Students learn about measures of centre and measures of variability. They learn how to make dot plots, histograms, boxplots, and stem-and-leaf plots. All of these lessons are necessary to summarise and analyse distributions.

This product also includes an HTML page that you can use to make extra practice worksheets for computation, and a list of helpful Internet links for each chapter.

## How and where to order

You can buy Math Mammoth South African version at:

• Here at MathMammoth.com website — simply use the "Add to cart" buttons you see on the product pages.

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.

Math Mammoth books are PDF files. You will need Adobe Reader to view them, including if you use a Mac or Linux. You can try other PDF viewers, but they seem to either omit or mess up some of the images.
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