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Home / Bookstore / The Christopherus Curriculum / 6th-8th Grade Curriculum / Key To Math Workbooks (Grades 6-8)
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We are not able to carry all the Key To workbooks which you might need. Please use this guide as a reference for using the workbooks in conjunction with the other math resources we offer.

Please go to Key Curriculum Press  or conventional homeschooling retailers to order your workbooks.

The following lists assume that you have used our math materials from earlier years. Please consider purchasing 5th Grade Math and 4th Grade Math if there are gaps or your child is behind in math. If your 6th grade child is especially quick at math, you might consider some of the 7th grade titles as well.

Key To Math and Geometry, 6th Grade

Key To Geometry Workbook 1 (lines and segments)

Key To Geometry Workbook 2 (circles)

Key To Metric Measurement Workbook 1 (metric units of length)

Key To Metric Measurement Workbook 2 (measuring length and perimeter using metric units)

Key To Metric Measurement Answer Key (Books 1-4)

Key To Fractions Workbook 4 (mixed numbers)

Key To Fractions Answer Key (books 1-4)

Key To Decimals Workbook 3 (using decimals)

Key To Decimals Answer Key (books 1-4)

Key To Percents Workbook 1 (percent concepts)

Key To Percents Workbook 2 (percents and fractions)

Key To Percents Workbook 3 (percents and decimals)

Key To Percents Answer Key (books 1-3)


Key To Math and Geometry, 7th and 8th Grade

Key To Geometry Book 3 (constructions)

Key To Geometry Book 4 (perpendiculars)

Key To Geometry Book 5 (squares and rectangles)

Key To Geometry Book 6 (angles)

Key To Geometry Book 7 (perpendiculars and parallels, chords and tangents, circles)

Key To Geometry Book 8 (triangles, parallel lines, similar polygons)

Key To Algebra Book 1 (operations on integers)

Key To Algebra Book 2 (variables, terms and expressions)

Key To Algebra Book 3 (equations)

Key To Algebra Book 4 (polynomials)

Key To Algebra Book 5 (rational numbers)

Key To Algebra Book 6 (multiplying and dividing rational expressions)

Key To Algebra Book 7 (adding and subtracting rational expressions)

Key To Algebra Book 8 (graphs)

Key To Algebra Book 9 (systems of equations)

Key To Algebra Book 10 (square roots and quadratic equations)

Additional Notes Regarding Key to Math and Geometry for 7th and 8th Grade

Please check the list of Key To workbooks for 6th grade to ensure nothing has been missed.

We have combined the titles for both 7th and 8th grade because of the enormous differences in the abilities of children and to allow for quite different approaches to the material. Hopefully, this won’t cause (too much!) confusion as we feel that the extra effort to accommodate widely different homeschooling situations makes it worthwhile.

The text and guide for 7th grade math and geometry is Mathematics Around Us. The basic text and guide for 8th grade math is Mathematics in Space and Time (available late 2010).

Unless you want to create your own sheets of problems for your child to work on, you’ll need a selection of the following titles.

Key to Algebra, Books 1-4 are restricted to operations on integers so that students who have not yet mastered fractions can begin their study of algebra. In Books 5-7 operations on fractions are taught as students study rational algebraic expressions. Books 8-10 cover real numbers, graphs, systems of equations, square roots and quadratic equations. Together these books comprise a complete introductory algebra course.

Unfortunately, Key To was not designed with the Waldorf curriculum in mind! Thus there is some jumping around to contend with during 7th and 8th grade as one attempts to match the Key To workbooks to the course of study outlined in the two textbooks. Our suggestions is to consider biting the bullet and ordering the entire set of Key To workbooks in 7th grade and just seeing what works for 7th grade and what is held back until 8th grade.

We strongly suggest that you purchase the associated answer keys as well as they provide not only answers but helpful teaching advice too.

Key To Geometry is similar. Again, we suggest you purchase all eight workbooks and the answer keys in 7th grade and dip in and out of the workbooks during these two years as you work on geometry with your child.

Key to Measurement – phewf! A bit easier now! Those of you in the metric world need only purchase Key To Book 3 to address area and volume. Those of you here in the US should get both metric and non-metric.

 


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