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Math Mammoth Grade 5 Complete Curriculum is a complete math program for fifth grade, providing you with everything you need to teach fifth grade math. At the heart of the curriculum are two student worktexts with lessons (A and B), each covering about half a year of math work. These worktexts contain all the instruction and the exercises in the same book — which makes lesson preparation a breeze. The worktexts are written so they allow most children 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 the child needs just a bit more practice.
Math Mammoth focuses on conceptual understanding. It explains the "WHY", so the children can understand the math, 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 you wish.
The curriculum is mastery-oriented. This means it concentrates at length 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. There is a strong emphasis on mental math and number sense.
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 for the student in the worktext, and there are also videos available where you can view Maria teaching 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.
The PDF files 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, or on a tablet device using any PDF app with annotation capabilities.
BONUS! You will also get Soft-Pak programs completely FREE. 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.
The fifth grade is time for fractions and decimals, in particular. In Math Mammoth Grade 5-A we study decimals in depth and with substantial detail. Students also deepen their understanding of whole numbers, learn much more problem solving, and are introduced to the calculator.
The year starts out with a study of whole numbers and their operations. Students get to review multi-digit multiplication and learn long division with two-digit divisors. We also review divisibility and factors from fourth grade, and study prime factorization.
In the second chapter, the focus is on large numbers and using a calculator. This is the first time a calculator is introduced in Math Mammoth complete curriculum—thus far, all calculations have been done mentally, or with paper and pencil. I want students to learn to be cautious in their use of the calculator—use it with good judgment. Every exercise where calculator use is to be allowed is marked with a little calculator symbol.
The third chapter is about equations and problem solving. We study simple equations with the help of a balance and bar models. The main idea is to get students used to the idea of an equation and what it means to solve an equation. Students also do a fair amount of problem solving using the visual bar model.
The fourth chapter is about decimals and their operations. It is a long chapter because now is the time to learn decimal operations well. It is assumed that the student already has a solid foundation for decimal place value, as taught in the Math Mammoth Grade 4 curriculum. That is the true means of preventing common misconceptions, or students resorting to rote memorization of the decimal operations.
In chapter 5 we study graphing in a coordinate grid, line and bar graphs, and average and mode. Today's world has become increasingly complex, with lots of data in the media, so children need a good grasp of graphs to be able to make sense of all that information.
Chapter 6 is about the addition and subtraction of fractions—another focus topic for fifth grade, besides decimals. Students learn to add and subtract unlike fractions, using the technique of first converting them into equivalent like fractions.
In chapter 7, we study the multiplication and division of fractions (division only in special cases), relying first on visual models, and then proceeding to the abstract shortcuts.
Chapter 8 takes us to geometry, starting with a review of angles and polygons. From there, students will learn to draw circles, to classify triangles and quadrilaterals, and the concept of volume in the context of right rectangular prisms (boxes).
Please also see the sample preview for the table of contents for 5-A and 5-B.