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Math Mammoth Grade 6 International Version Complete Curriculum

Math Mammoth Grade 6 International Version Complete Curriculum

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Math Mammoth Grade 6 International Version is a complete math program (curriculum) for 6th grade mathematics studies. It consists of two student worktexts (A and B), a separate answer key for each, tests, cumulative reviews, and an additional worksheet maker (Internet access required) to make extra practice worksheets when needed.

This curriculum is essentially the same as the US version of Math Mammoth Grade 6. The program is customised for the international audience in these aspects: The curriculum teaches the metric measurement units. Imperial units, such as inches and pounds, are not used. The spelling conforms to British international standards (British English).   Page (paper) size is A4. Large numbers are formatted with a space as the thousands separator (such as 12 394). (The decimals are formatted with a decimal point, like in the US version.) In money-related word problems, the symbol it uses is "$" (dollar).

In sixth year, students encounter the beginnings of algebra, 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 year. 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 centre 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 they 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 briefly study 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 year. 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 years, 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.

Chapter 6 first revises prime factorisation and then applies those principles to using the greatest common factor to simplify fractions and the least common multiple to find common denominators. After a thorough revision of the fraction operations from fifth year (addition, subtraction and multiplication), Chapter 7, Fractions, then focuses on the new topic for sixth year: the division of fractions. The chapter also includes ample practise in solving problems with fractions.

Chapter 8 introduces students to integers (signed numbers). They plot points in all four quadrants of the coordinate plane, reflect and translate simple figures, and learn to add and subtract with negative numbers. (The multiplication and division of integers will be studied in 7th year.)

The next chapter, Geometry, focuses on calculating the area of polygons. After a brief revision of terminology for triangles and quadrilaterals and drawing fundamentals, this new topic is presented simply in a logical progression: first, the area of a right triangle; next, the area of a parallelogram; then, the area of any triangle; and finally, the area of a polygon. The chapter then expands the concepts learned into developing nets for simple solids to calculate their surface area and to figuring the volume of rectangular prisms with edges of fractional length.

The final chapter is about statistics. Beginning with the concept of a statistical distribution, students learn about measures of centre and measures of variability. They also learn how to make dot plots, histograms, boxplots, and stem-and-leaf plots as ways to summarise and analyse distributions.

 
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File Last Updated:
June 11, 2018
This title was added to our catalog on February 05, 2016.