The Charlotte Mason Elementary Arithmetic Series: Book 6

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Natural, lively elementary math lessons that build confidence in mathematical thinking and help your student advance in understanding decimals, fractions, ratios, and percentages.

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Product Description

You and your student are sure to enjoy these natural, lively elementary math lessons that build confidence in mathematical thinking and help your student advance in understanding decimals, fractions, ratios, and percentages.

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Practical Geometry

With Book 6, the recommended schedule is four days per week. For the fifth day, a hands-on geometry lesson should be completed from Charlotte Mason Practical Geometry, Part 2. These weekly geometry lessons give the student experience with mathematical tools such as a compass and protractor, and guide the student in understanding foundational ideas in geometry. This hands-on approach develops the student’s comfort with the mechanics of tools, drawings, and geometrical concepts before formal geometry and proofs are introduced. We suggest that 6th grade students work on arithmetic Monday through Thursday, with Friday reserved for practical geometry.

For a complete Charlotte Mason grade 6 math curriculum, you will need The Charlotte Mason Elementary Arithmetic Series, Book 6, Charlotte Mason Practical Geometry, Part 2, and a 5mm grid notebook.

Book 6 Features

The lessons in The Charlotte Mason Elementary Arithmetic Series, Book 6, follow Charlotte Mason’s philosophy and methods for teaching math as outlined above. In Book 6 you will find

  • Day-by-day lessons, so you can guide your student with confidence;
  • Straightforward instructions, so you (or any other teacher) can open and go with no prep time;
  • Extra pages of review containing more than 100 additional problems, so you can easily linger on any concept as needed;
  • End-of-term exams that can be customized according to where your child is in the lessons;
  • Helpful teaching tips, so you can be sure you’re teaching math in a Charlotte Mason way;
  • A beautiful and durable hard cover that will stand up well to many years of enjoyable math lessons;
  • A full year of math for students in grade 6 or excellent review lessons for older students who need to solidify their grasp of fractions, decimals, ratios, and percentages;
  • A complete Solutions Guide with answers for all written work in Book 6, along with step-by-step solutions, giving you confidence to successfully guide your student in solving the math problems.
  • A non-consumable resource that will make a wonderful addition to your homeschool library and can be used with all of your children.

Book 6 is a beautiful addition to The Charlotte Mason Elementary Arithmetic Series and an exciting way to strengthen your relationship with your child as you continue to climb together in the mountainous land of mathematics, just as Charlotte Mason described it. And with lessons like these, you can be sure that every step taken will be on firm ground.

Arithmetic Concepts in Book 6

In The Charlotte Mason Elementary Arithmetic Series, Book 6, your student will gain a solid understanding of these arithmetic concepts.

  • Review of Fractions
  • Review of Greatest Common Factor and Least Common Multiple
  • Multiplication of Fractions
    • Multiplication of Proper Fractions by Whole Numbers
    • Multiplication of Mixed Numbers by Whole Numbers
    • Multiplication of Fractions by Fractions
    • Multiplication of Fractions by a Mixed Number
    • Multiplication of Mixed Numbers by Mixed Numbers
  • Division of Fractions
    • Division of a Whole Number by a Fraction
    • Division of a Fraction by a Whole Number
    • Division with Mixed Numbers
    • Division of a Fraction by a Fraction
  • Repeating Decimals
  • Converting between Decimals and Fractions
  • Ratios and Proportion
    • Meaning
    • Numeration and Notation
    • Finding Ratios of Different Units
    • Comparing Numbers
    • Comparing Ratios
    • Equal Ratios or Proportion
    • Golden Ratio
  • Percentages
    • Meaning
    • Numeration and Notation
  • Converting between Decimals and Percents
  • Converting between Fractions and Percents
  • Converting between Fractions, Decimals, and Percents
  • Adding and Subtracting Percents
  • Percents Greater than 100
  • Finding the Percent of a Number
  • Finding Totals with Percents
  • Finding What Percent a Number is of Another Number

Sample Weekly Schedule

For 6th grade, you will complete arithmetic lessons four days per week, with the fifth day given to a fun, hands-on practical geometry lesson. We recommend scheduling it like this:

MondayTuesdayWednesdayThursdayFriday
ArithmeticArithmeticArithmeticArithmeticPractical Geometry

Charlotte Mason’s Approach to Elementary Arithmetic

Charlotte Mason’s math lessons are perfect for an elementary child.

Lessons are mainly oral and are carefully graduated, with your child answering small word problems within his understanding (no reading required). He works out the problems in a hands-on way using a variety of common, everyday objects. This straightforward but interesting teaching guides your child to make discoveries on his own.

A grid notebook is used as the student’s math notebook, in which she records the math concepts she has discovered.

Progression of the lessons is adjusted to the pace that fits your child best, so you can go slowly enough to build understanding and confidence in the math concepts but not so slowly that the child becomes bored.

Short, lively lessons reinforce a habit of concentrated attention while not overtaxing the child’s ability to sit still. Book 6 also guides you in helping your child begin independent math lessons. Each day’s work goes no longer than 30 minutes, with 25 minutes focused on the newest math concept and review, and the remaining 5 for mental math.

The Charlotte Mason Elementary Arithmetic Series

Book 1: Exploration of Numbers to 100
Book 2: The Four Rules and Tables; Work with Numbers to 1000
Book 3: Tables continued; Work with Numbers to 10,000; Weights & Measures
Book 4: Long Multiplication & Division/Weights & Measures
Book 5: Decimals; Fractions; Factors
Book 6: Decimals & Fractions; Percentages; Ratios; Proportions

Placing Your Student

Download the placement guide to determine where your child should begin.

Additional Information

Author

Binding

E-book, Hardcover, Trade Paper

Charter-Friendly

Grade

Grade 6

Pages

Solutions Guide: 113, Student Book: 218

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