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Math Mammoth Grade 7 International Version Complete Curriculum

Math Mammoth Grade 7 International Version Complete Curriculum

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Math Mammoth International Version Grade 7-A and Grade 7-B worktexts comprise a complete maths curriculum for seventh grade mathematics studies. This is a pre-algebra course, and students can continue to an Algebra 1 curriculum after completing it.


This curriculum is essentially the same as the version of Math Mammoth Grade 7 sold in the United States (US version), only customised for international use. The US version is aligned to the “Common Core” Standards, so it may not be properly aligned to the seventh grade standards in your country. However, you can probably find material for any missing topics in neighbouring grades. For example, let’s say multiplication tables are studied in grade or year 4 in your country. They are not found in Math Mammoth Grade 4. Instead, you will need to use Math Mammoth Grade 3-A to study them.


The International version of Math Mammoth Grade 7 differs from the US version 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. It is formated for size A4 paper.  Large numbers are formatted with a space as the thousands separator (such as 12 394). (The decimals are formatted with a decimal point, as in the US version.) The currency used is Australian.


We start out with an introduction to basic algebra, which is in many ways a revision of the same topics from 6th grade. The first chapter revises the order of operations, the concepts of an expression and equation, and the distributive property. Students learn about the commutative and associative properties of addition and multiplication, and they simplify expressions that do not involve negative numbers.


In chapter 2, we study integers and their operations in detail. Some of this is revision from 6th grade, and some of it is new. The four operations of integers are explained with the help of two visual models: the number line and counters, hopefully providing an intuitive understanding of the processes. Students need to be able to add, subtract, multiply, and divide integers when they learn to solve equations in chapter 3. In the end of the chapter students also learn about negative fractions.


The lesson about distance contains a formula that may look unfamiliar to the teacher. You can find the distance between two integers by taking the absolute value of their difference. In symbols, the distance between a and b is | a − b | . The idea behind the formula is simple, though, and most people use that idea instinctively without knowing about the formula. For example, how far apart from each other are 14 and 92? To solve that mentally, we find their difference, but we take that difference in a positive sense. In other words, we do not calculate 14 − 92 = −78 and state that the distance is negative 78 units, but instead, we say the distance is 78 units because distance is always positive. The absolute value takes care of that: it turns any negative quantity into a positive one.


In the next chapter (chapter 3) students study simple one-step equations. They already know the basics of how to solve this type of equations from 6th grade, but this time we use negative numbers in them.


Chapter 4 is titled Rational Numbers, which are simply fractions and certain decimals, so the student is already very familiar with them. The goal of the chapter is to be able to add, subtract, multiply, and divide both positive and negative fractions and decimals. We also solve simple equations involving fractions and decimals and learn about scientific notation.


The last chapter in part 7-A focuses on linear equations. The student learns to solve various types of linear equations and practises using those in simple word problems. We study linear inequalities but not to the same depth as linear equations. Lastly, the student graphs linear equations and is introduced to the concept of slope, which is the steepness of a line. The student will continue studying these topics with more details in an Algebra 1 course.


In part 7-B, students study ratios, proportions, percent, geometry, the Pythagorean Theorem, probability, and statistics.

 
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File Last Updated:
January 15, 2019
This title was added to our catalog on April 17, 2016.