Math Mammoth Grade 6-B Worktext

Math Mammoth Grade 6-B Worktext is the second student book in Math Mammoth grade 6 curriculum, meant for the latter half of 6th grade. This is the 2022 edition.

The main areas of study in Math Mammoth Grade 6-B worktext are:

  • prime factorization, GCF, and LCM
  • fraction arithmetic with a focus on division of fractions
  • the concept of integers, coordinate grid, addition & subtraction of integers
  • geometry: review of quadrilaterals & drawing problems; area of triangles & polygons; volume of rectangular prisms with fractional edge lengths; surface area
  • statistics: concept of distribution, measures of center, measures of variation, boxplots, stem-and-leaf plots, histograms
  • Chapter 6 first reviews prime factorization and then teaches students two new concepts: the greatest common factor and the least common multiple. We also apply those concepts factor to simplify fractions and to find common denominators for adding fractions.

    In Chapter 7, students first review addition, subtraction, and multiplication of fractions from fifth grade. Then we focus on a new topic: the division of fractions. The chapter also includes ample practice 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. (Multiplication and division of integers will be studied in 7th grade.)

    The next chapter, Geometry, focuses on calculating the area of polygons. After a brief review 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. After that, students learn how to use nets of simple solids to calculate their surface area. Lastly, we turn to the concept of volume. Students have already learned to find the volumes of rectangular prisms in 5th grade. Now they calculate the volumes of rectangular prisms with fractional edge lengths.

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

    Features

  • Math Mammoth focuses on conceptual understanding. It explains the "WHY", so your children can understand the math, not just learn "HOW" to do it.
  • 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.
  • Very little teacher preparation is required.
  • 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.
  • This is the full-color version of the worktext. Please note that it does not include the answers; they are sold as a separate book.

    1125418008
    Math Mammoth Grade 6-B Worktext

    Math Mammoth Grade 6-B Worktext is the second student book in Math Mammoth grade 6 curriculum, meant for the latter half of 6th grade. This is the 2022 edition.

    The main areas of study in Math Mammoth Grade 6-B worktext are:

  • prime factorization, GCF, and LCM
  • fraction arithmetic with a focus on division of fractions
  • the concept of integers, coordinate grid, addition & subtraction of integers
  • geometry: review of quadrilaterals & drawing problems; area of triangles & polygons; volume of rectangular prisms with fractional edge lengths; surface area
  • statistics: concept of distribution, measures of center, measures of variation, boxplots, stem-and-leaf plots, histograms
  • Chapter 6 first reviews prime factorization and then teaches students two new concepts: the greatest common factor and the least common multiple. We also apply those concepts factor to simplify fractions and to find common denominators for adding fractions.

    In Chapter 7, students first review addition, subtraction, and multiplication of fractions from fifth grade. Then we focus on a new topic: the division of fractions. The chapter also includes ample practice 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. (Multiplication and division of integers will be studied in 7th grade.)

    The next chapter, Geometry, focuses on calculating the area of polygons. After a brief review 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. After that, students learn how to use nets of simple solids to calculate their surface area. Lastly, we turn to the concept of volume. Students have already learned to find the volumes of rectangular prisms in 5th grade. Now they calculate the volumes of rectangular prisms with fractional edge lengths.

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

    Features

  • Math Mammoth focuses on conceptual understanding. It explains the "WHY", so your children can understand the math, not just learn "HOW" to do it.
  • 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.
  • Very little teacher preparation is required.
  • 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.
  • This is the full-color version of the worktext. Please note that it does not include the answers; they are sold as a separate book.

    26.95 In Stock
    Math Mammoth Grade 6-B Worktext

    Math Mammoth Grade 6-B Worktext

    by Maria Miller
    Math Mammoth Grade 6-B Worktext

    Math Mammoth Grade 6-B Worktext

    by Maria Miller

    Paperback

    $26.95 
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    Overview

    Math Mammoth Grade 6-B Worktext is the second student book in Math Mammoth grade 6 curriculum, meant for the latter half of 6th grade. This is the 2022 edition.

    The main areas of study in Math Mammoth Grade 6-B worktext are:

  • prime factorization, GCF, and LCM
  • fraction arithmetic with a focus on division of fractions
  • the concept of integers, coordinate grid, addition & subtraction of integers
  • geometry: review of quadrilaterals & drawing problems; area of triangles & polygons; volume of rectangular prisms with fractional edge lengths; surface area
  • statistics: concept of distribution, measures of center, measures of variation, boxplots, stem-and-leaf plots, histograms
  • Chapter 6 first reviews prime factorization and then teaches students two new concepts: the greatest common factor and the least common multiple. We also apply those concepts factor to simplify fractions and to find common denominators for adding fractions.

    In Chapter 7, students first review addition, subtraction, and multiplication of fractions from fifth grade. Then we focus on a new topic: the division of fractions. The chapter also includes ample practice 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. (Multiplication and division of integers will be studied in 7th grade.)

    The next chapter, Geometry, focuses on calculating the area of polygons. After a brief review 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. After that, students learn how to use nets of simple solids to calculate their surface area. Lastly, we turn to the concept of volume. Students have already learned to find the volumes of rectangular prisms in 5th grade. Now they calculate the volumes of rectangular prisms with fractional edge lengths.

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

    Features

  • Math Mammoth focuses on conceptual understanding. It explains the "WHY", so your children can understand the math, not just learn "HOW" to do it.
  • 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.
  • Very little teacher preparation is required.
  • 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.
  • This is the full-color version of the worktext. Please note that it does not include the answers; they are sold as a separate book.


    Product Details

    ISBN-13: 9781954358072
    Publisher: Math Mammoth
    Publication date: 06/27/2022
    Pages: 184
    Product dimensions: 8.50(w) x 11.00(h) x 0.39(d)
    Age Range: 11 - 12 Years

    About the Author

    Maria Miller was born and grew up in Finland where she also received a master's degree in mathematics in 1997. She loves math and teaching, so becoming a math teacher was a natural career for her.Miller started writing math books in 2002, prompted by her experiences in tutoring homeschooled children. She felt the books they were using were inferior, especially when it came to conceptual understanding of mathematics, so she began to write books that focus on the concepts and the "why" of mathematics, though not forgetting the "how" and the needful practice.Over the years, her materials have become popular and appreciated, both among parents and teachers.In her free time, she likes walking, bicycling, swimming, reading, helping out with Inspire4.com, playing piano, and listening to music.

    Table of Contents

    Contents

    Foreword



    Chapter 6: Prime Factorization, GCF, and LCM

    Introduction

    The Sieve of Eratosthenes and Prime Factorization

    Using Factoring When Simplifying Fractions

    The Greatest Common Factor (GCF)

    Factoring Sums

    The Least Common Multiple (LCM)

    Mixed Review Chapter 6

    Chapter 6 Review



    Chapter 7: Fractions

    Introduction

    Review: Add and Subtract Fractions and Mixed Numbers

    Add and Subtract Fractions: More Practice

    Review: Multiplying Fractions 1

    Review: Multiplying Fractions 2

    Dividing Fractions: Reciprocal Numbers

    Divide Fractions

    Problem Solving with Fractions 1

    Problem Solving with Fractions 2

    Mixed Review Chapter 7

    Fractions Review

    Chapter 8: Integers

    Introduction

    Integers

    Coordinate Grid

    Coordinate Grid Practice

    Addition and Subtraction as Movements

    Adding Integers: Counters

    Subtracting a Negative Integer

    Add and Subtract Roundup

    Graphing

    Mixed Review Chapter 8

    Integers Review

    Chapter 9: Geometry

    Introduction

    Quadrilaterals Review

    Drawing Problems

    Area of Right Triangles

    Area of Parallelograms

    Area of Triangles

    Area of Polygons

    Polygons in the Coordinate Grid

    Area and Perimeter Problems

    Nets and Surface Area 1

    Nets and Surface Area 2

    Converting Between Area Units

    Volume of a Rectangular Prism with Sides of Fractional Length

    Volume Problems

    Mixed Review Chapter 9

    Geometry Review

    Chapter 10: Statistics

    Introduction

    Understanding Distributions

    Mean, Median, and Mode

    Using Mean, Median, and Mode

    Measures of Variation

    Making Histograms

    Boxplots

    Stem-and-Leaf-Plots

    Mixed Review Chapter 10

    Statistics Review

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