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SAXON HOMESCHOOL

Middle Grades Sampler

Math 5/4, Math 6/5, Math 7/6, Math 8/7, and Algebra 1/2

Math 5/4, Math 6/5, Math 7/6, Math 8/7, and Algebra ½ form a series of courses to move

students from primary grades to algebra. Each course contains a series of daily lessons

covering all areas of general math. Each lesson presents a small portion of math content

(called an increment) that builds on prior knowledge and understanding.

Students are not required or expected to grasp a concept fully the first time it is presented.

After an increment is introduced, it becomes a part of the student’s daily work for the rest

of the year. Students will have many opportunities to gain understanding and to achieve

mastery. This cumulative, continual practice ensures that students will retain what they

have learned.

This sampler includes materials that are representative of the Saxon math program,

including samples of Lessons and Investigations.

We hope these materials will assist you in your evaluation of the Saxon program.

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Table of Contents

Math 5/4, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

Lesson 40, Capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4

Lesson 57, Rate Word Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9

Lesson 83, Sales Tax • Change Back . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13

Investigation 8, Graphing Relationships . . . . . . . . . . . . . . . . . . . . . . . . . . 17

Math 6/5, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20

Lesson 53, Perimeter • Measures of a Circle . . . . . . . . . . . . . . . . . . . . . . . . . . . 21

Lesson 80, Prime and Composite Numbers . . . . . . . . . . . . . . . . . . . . . . . . 26

Lesson 91, Simplifying Improper Fractions . . . . . . . . . . . . . . . . . . . . . . . . 31

Investigation 11, Scale Drawings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36

Math 7/6, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39

Lesson 62, Writing Mixed Numbers as Improper Fractions . . . . . . . . . . . . 40

Lesson 89, Estimating Square Roots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46

Lesson 104, Algebraic Addition Activity . . . . . . . . . . . . . . . . . . . . . . . . . . 52

Investigation 7, The Coordinate Plane . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58

Math 8/7, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63

Lesson 35, Adding, Subtracting, Multiplying, and Dividing Decimal

Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

64

Lesson 65, Ratio Problems Involving Totals . . . . . . . . . . . . . . . . . . . . . . . 71

Lesson 107, Slope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77

Investigation 5, Creating Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86

Algebra ½, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90

Lesson 59. Proportions with Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91

Lesson 75, Implied Ratios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94

Lesson 105, Evaluating Powers of Negative Bases . . . . . . . . . . . . . . . . . . 98

3

Math 5/4 Table of Contents

Lesson 40, Capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4

Lesson 57, Rate Word Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9

Lesson 83, Sales Tax • Change Back . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13

Investigation 8, Graphing Relationships . . . . . . . . . . . . . . . . . . . . . . . . . . 17

4

Math 5/4, Lesson 40 Sample taken from Math 5/4 (Third Edition), page 176

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6


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17

Math 5/4, Investigation 8 Sample taken from Math 5/4 (Third Edition), page 376

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19


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Lesson 53, Perimeter • Measures of a Circle . . . . . . . . . . . . . . . . . . . . . . . . . . . 21

Lesson 80, Prime and Composite Numbers . . . . . . . . . . . . . . . . . . . . . . . . 26

Lesson 91, Simplifying Improper Fractions . . . . . . . . . . . . . . . . . . . . . . . . 31

Investigation 11, Focus On Scale Drawings . . . . . . . . . . . . . . . . . . . . . . . . 36

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22


23


24


25


26


27


28


29


30


31


32


33


34


35


36


37


38


39


Lesson 62, Writing Mixed Numbers as Improper Fractions . . . . . . . . . . . . 40

Lesson 89, Estimating Square Roots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46

Lesson 104, Algebraic Addition Activity . . . . . . . . . . . . . . . . . . . . . . . . . . 52

Investigation 7, The Coordinate Plane . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58

40

Math 7/6, Lesson 62 Sample taken from Math 7/6 (Fourth Edition), page 331

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53


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57


58

Math 7/6, Investigation 7 Sample taken from Math 7/6 (Fourth Edition), page 374

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63


Lesson 35, Adding, Subtracting, Multiplying, and Dividing Decimal

Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

64

Lesson 65, Ratio Problems Involving Totals . . . . . . . . . . . . . . . . . . . . . . . 71

Lesson 107, Slope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77

Investigation 5, Creating Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86

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65


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69


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72


73


74


75


76


77


78


79


80


81


82


83


84


85


86


87


88


89


90

Algebra 1/2 Table of Contents

Lesson 59. Proportions with Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91

Lesson 75, Implied Ratios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94

Lesson 105, Evaluating Powers of Negative Bases . . . . . . . . . . . . . . . . . . 98

91

Algebra ½, Lesson 59 Sample taken from Algebra ½ (Third Edition), page 189

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100


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