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Math Mammoth Grade 7, South African version

Math Mammoth Grade 7, South African Version is a complete maths program for 7th 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.

227 pages
202 lesson pages


288 pages
253 lesson pages

Grade 7 contents and samples
Placement tests

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Prices & ordering

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Grade 7 full set: USD $42.50
(DIGITAL DOWNLOAD)

Add to cart

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

You will be purchasing the download from my authorized reseller Comecero, LLC.

At the heart of the curriculum are two student worktexts (A and B), each covering about half a year of maths work. These worktexts contain all the instruction and the exercises in the same book — which makes lesson preparation a breeze. The worktexts are written directly to the student, and thus they allow many students to teach themselves and to learn directly from the books.

You will also get separate answer keys, chapter tests, additional cumulative reviews (I do recommend you use at least some of them), and a versatile worksheet maker (Internet access required) for those times when your child needs just a bit more practice.

Features

• Math Mammoth focuses on conceptual understanding. It explains the "WHY", so your children can understand the maths, not just learn "HOW" to do it.
• Concepts are often explained with visual models, followed by exercises using those models. These visual models can take the place of manipulatives for many children; however, it is very easy to add corresponding manipulatives to the lessons if so desired.
• The curriculum is mastery-oriented. This means it concentrates fairly long on a topic, delving into its various aspects. This promotes conceptual understanding, as opposed to spiral curricula that often tend to jump from topic to topic too much.
• Math Mammoth Grade 7 is, in a sense, a hybrid program. It can be used as a traditional pre-algebra program or as a 7th grade math program that meets and exceeds the U.S. Common Core standards. When using it primarily for pre-algebra, you may omit the last chapter of the curriculum (statistics). Otherwise, you may omit the chapter on the Pythagorean Theorem.

• It requires very little teacher preparation.
• The curriculum has no separate teacher's manual nor is it scripted. The introduction to each chapter has some notes for the teacher concerning the material in the chapter. All the instruction is written directly to the student in the worktext, and there also exist accompanying videos where you can see Maria herself teach the material.
• After each chapter introduction, you will find a list of Internet links and resources (games, quizzes, animations, etc.) that can be used for fun, illustrations, and further practice.

Please read the FAQ for more information.

Additional features for the digital version (download)

• The PDF files can be filled in on a computer, phone, or tablet, using the annotation tools found in many PDF apps. Learn more.
• BONUS! The digital download also comes with BONUS Soft-Pak programs. The 6 programs in Soft-Pak (4 math, 1 language arts, 1 list maker) offer both on-screen and printable activities in a low-graphic, high content format. Read more and see screenshots.

Overview of topics

The main areas of study in Math Mammoth Grade 7 are:

• introduction to basic algebra concepts
• integers and their operations
• solving one-step equations, including with negative numbers
• operations with negative rational numbers
• solving linear equations and writing equations for word problems
• graphing linear equations and an introduction to the concept of slope
• ratios, rates, proportions, and percent
• geometry: angle relationships, compass & ruler constructions, drawing problems, Pi and the area and circumference of a circle, cross-sections formed when cutting solids, surface area and volume
• the Pythagorean theorem (optional)
• probability
• statistics

Please also see the tables of contents in the sample file, which will let you see the topics covered in more detail.

Manipulatives

Here is a list of manipulatives, or actually measurement tools, that are needed for grade 7.

1. A ruler that measures in centimetres (for 7-B).
2. A compass (for 7-B).
3. A protractor (for 7-B).

Skills Review Workbook

Math Mammoth Skills Review Workbook, Grade 7 provides additional practice for the topics in Math Mammoth Grade 7 curriculum. I recommend you only purchase it once you are sure the student does need supplemental practice. Learn more.

Introduction

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

The curriculum meets the U.S. Common Core Standards (CCS) for grade 7 but also exceeds them in several places. For example, we study linear equations in more depth than required in grade 7 CCS, and the curriculum includes the Pythagorean Theorem, which in the CCS is in grade 8. You can access a document detailing the alignment information at this link or in the download version of this curriculum.

We start out with an introduction to basic algebra, which is in many ways a review of the same topics from 6th grade. The first chapter reviews 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 don’t involve negative numbers.

In chapter 2, we study integers and their operations in detail. Some of this is, again, review 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 these types 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 and complex fractions.

The last chapter in part 7-A focuses on linear equations. The student learns to solve various types of linear equations and practices 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.

Part B starts out with a study of ratios and proportions (chapter 6). Students study unit rates, proportions, proportional relationships and graphing, scaling geometric figures, floor plans, and maps.

The next chapter provides thorough lessons on the concept of percent. Students learn to solve a wide variety of problems involving percentages, including percentage of change, percentages of comparison, and simple interest problems.

Geometry is our focus in chapter 8. Students draw geometric figures using a a protractor and a ruler, and they also learn some basic geometric constructions. The other themes of this chapter are various angle relationships, area and the perimeter of a circle, conversions between units of area and of volume, surface area, volume, and cross-sections when solids are sliced with a plane.

Chapter 9 covers square roots, the Pythagorean Theorem, and its applications. You may omit the entire chapter if necessary (such as for lack of time), since the Pythagorean Theorem is also included in any 8th grade math program that follows Common Core, and in high school math courses.

Chapter 10 is an introduction to probability. Besides learning the basic idea behind probability as the ratio of favorable events to all possible events, students compare experimental probabilities to theoretical ones in probability simulations and even design some on their own.

Lastly, in chapter 11, the curriculum covers statistical concepts. The major areas of study are random sampling and learning to compare two populations using some basic statistical measures and graphs.

Please read the FAQ for more information.

South Africa

Math Mammoth South African Version has been customised to South Africa in the following manners:

• The names used are South African names (such as Ansie and Jali).
• The currency used in word problems is rand. The money chapter teaches both rand and cents.
• The material is "all metric". In other words, the US customary measuring units are not used.
• Spelling is British English instead of American English.
• Paper size is A4.
• Geographic locations used emphasise South African locations (such as Pretoria, Johannesburg).

Please note that the curriculum is not following the South African official syllabus for 7th grade maths. Instead, it simply is a copy of the US version of Math Mammoth Grade 7. For the most part, Math Mammoth exceeds South African standards. Some standards may not be covered.

Reviews / Testimonials of the 7th grade curriculum

Math Mammoth · Affordable Homeschool Curriculum for 7th Grade at Grace, Grow & Edify blog

Math Mammoth Light Blue Series Level 7: A TOS Review Crew Review at Grace-Filled Homeschooling blog

Review of Math Mammoth Prealgebra Curriculum by David Chandler from Math Without Borders.