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hmhco.comSAXONHOMESCHOOLMiddle Grades SamplerMath 5/4, Math 6/5, Math 7/6, Math 8/7, and Algebra 1/2Math 5/4, Math 6/5, Math 7/6, Math 8/7, and Algebra ½ form a series of courses to movestudents from primary grades to algebra. Each course contains a series of daily lessonscovering 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 restof the year. Students will have many opportunities to gain understanding and to achievemastery. This cumulative, continual practice ensures that students will retain what theyhave 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.

Table of ContentsMath 5/4, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3Lesson 40, Capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4Lesson 57, Rate Word Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9Lesson 83, Sales Tax Change Back . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13Investigation 8, Graphing Relationships . . . . . . . . . . . . . . . . . . . . . . . . . . 17Math 6/5, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20Lesson 53, Perimeter Measures of a Circle . . . . . . . . . . . . . . . . . . . . . . . . 21.Lesson 80, Prime and Composite Numbers . . . . . . . . . . . . . . . . . . . . . . . . 26Lesson 91, Simplifying Improper Fractions . . . . . . . . . . . . . . . . . . . . . . . . 31Investigation 11, Scale Drawings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36Math 7/6, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39Lesson 62, Writing Mixed Numbers as Improper Fractions . . . . . . . . . . . . 40Lesson 89, Estimating Square Roots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46Lesson 104, Algebraic Addition Activity . . . . . . . . . . . . . . . . . . . . . . . . . . 52Investigation 7, The Coordinate Plane . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58Math 8/7, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63Lesson 35, Adding, Subtracting, Multiplying, and Dividing DecimalNumbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64.Lesson 65, Ratio Problems Involving Totals . . . . . . . . . . . . . . . . . . . . . . . 71Lesson 107, Slope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77Investigation 5, Creating Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86Algebra ½, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90Lesson 59. Proportions with Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91Lesson 75, Implied Ratios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94Lesson 105, Evaluating Powers of Negative Bases . . . . . . . . . . . . . . . . . . 982

Math 5/4Table of ContentsLesson 40, Capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4Lesson 57, Rate Word Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9Lesson 83, Sales Tax Change Back . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13Investigation 8, Graphing Relationships . . . . . . . . . . . . . . . . . . . . . . . . . . 173

Math 5/4, Lesson 40Sample taken from Math 5/4 (Third Edition), page 1764

Math 5/4, Lesson 40Sample taken from Math 5/4 (Third Edition), page 1775

Math 5/4, Lesson 40Sample taken from Math 5/4 (Third Edition), page 1786

Math 5/4, Lesson 40Sample taken from Math 5/4 (Third Edition), page 1797

Math 5/4, Lesson 40Sample taken from Math 5/4 (Third Edition), page 1808

Math 5/4, Lesson 57Sample taken from Math 5/4 (Third Edition), page 2649

Math 5/4, Lesson 57Sample taken from Math 5/4 (Third Edition), page 26510

Math 5/4, Lesson 57Sample taken from Math 5/4 (Third Edition), page 26611

Math 5/4, Lesson 57Sample taken from Math 5/4 (Third Edition), page 26712

Math 5/4, Lesson 83Sample taken from Math 5/4 (Third Edition), page 38813

Math 5/4, Lesson 83Sample taken from Math 5/4 (Third Edition), page 38914

Math 5/4, Lesson 83Sample taken from Math 5/4 (Third Edition), page 39015

Math 5/4, Lesson 83Sample taken from Math 5/4 (Third Edition), page 39116

Math 5/4, Investigation 8Sample taken from Math 5/4 (Third Edition), page 37617

Math 5/4, Investigation 8Sample taken from Math 5/4 (Third Edition), page 37718

Math 5/4, Investigation 8Sample taken from Math 5/4 (Third Edition), page 37819

Math 6/5Table of ContentsLesson 53, Perimeter Measures of a Circle . . . . . . . . . . . . . . . . . . . . . . . . 21.Lesson 80, Prime and Composite Numbers . . . . . . . . . . . . . . . . . . . . . . . . 26Lesson 91, Simplifying Improper Fractions . . . . . . . . . . . . . . . . . . . . . . . . 31Investigation 11, Focus On Scale Drawings . . . . . . . . . . . . . . . . . . . . . . . . 3620

Math 6/5, Lesson 53Sample taken from Math 6/5 (Third Edition), page 26821

Math 6/5, Lesson 53Sample taken from Math 6/5 (Third Edition), page 26922

Math 6/5, Lesson 53Sample taken from Math 6/5 (Third Edition), page 27023

Math 6/5, Lesson 53Sample taken from Math 6/5 (Third Edition), page 27124

Math 6/5, Lesson 53Sample taken from Math 6/5 (Third Edition), page 27225

Math 6/5, Lesson 80Sample taken from Math 6/5 (Third Edition), page 41226

Math 6/5, Lesson 80Sample taken from Math 6/5 (Third Edition), page 41327

Math 6/5, Lesson 80Sample taken from Math 6/5 (Third Edition), page 41428

Math 6/5, Lesson 80Sample taken from Math 6/5 (Third Edition), page 41529

Math 6/5, Lesson 80Sample taken from Math 6/5 (Third Edition), page 41630

Math 6/5, Lesson 91Sample taken from Math 6/5 (Third Edition), page 47631

Math 6/5, Lesson 91Sample taken from Math 6/5 (Third Edition), page 47732

Math 6/5, Lesson 91Sample taken from Math 6/5 (Third Edition), page 47833

Math 6/5, Lesson 91Sample taken from Math 6/5 (Third Edition), page 47934

Math 6/5, Lesson 91Sample taken from Math 6/5 (Third Edition), page 48035

Math 6/5, Investigation 11Sample taken from Math 6/5 (Third Edition), page 57336

Math 6/5, Investigation 11Sample taken from Math 6/5 (Third Edition), page 57437

Math 6/5, Investigation 11Sample taken from Math 6/5 (Third Edition), page 57538

Math 7/6Table of ContentsLesson 62, Writing Mixed Numbers as Improper Fractions . . . . . . . . . . . . 40Lesson 89, Estimating Square Roots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46Lesson 104, Algebraic Addition Activity . . . . . . . . . . . . . . . . . . . . . . . . . . 52Investigation 7, The Coordinate Plane . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5839

Math 7/6, Lesson 62Sample taken from Math 7/6 (Fourth Edition), page 33140

Math 7/6, Lesson 62Sample taken from Math 7/6 (Fourth Edition), page 33241

Math 7/6, Lesson 62Sample taken from Math 7/6 (Fourth Edition), page 33342

Math 7/6, Lesson 62Sample taken from Math 7/6 (Fourth Edition), page 33443

Math 7/6, Lesson 62Sample taken from Math 7/6 (Fourth Edition), page 33544

Math 7/6, Lesson 62Sample taken from Math 7/6 (Fourth Edition), page 33645

Math 7/6, Lesson 89Sample taken from Math 7/6 (Fourth Edition), page 47346

Math 7/6, Lesson 89Sample taken from Math 7/6 (Fourth Edition), page 47447

Math 7/6, Lesson 89Sample taken from Math 7/6 (Fourth Edition), page 47548

Math 7/6, Lesson 89Sample taken from Math 7/6 (Fourth Edition), page 47649

Math 7/6, Lesson 89Sample taken from Math 7/6 (Fourth Edition), page 47750

Math 7/6, Lesson 89Sample taken from Math 7/6 (Fourth Edition), page 47851

Math 7/6, Lesson 104Sample taken from Math 7/6 (Fourth Edition), page 56152

Math 7/6, Lesson 104Sample taken from Math 7/6 (Fourth Edition), page 56253

Math 7/6, Lesson 104Sample taken from Math 7/6 (Fourth Edition), page 56354

Math 7/6, Lesson 104Sample taken from Math 7/6 (Fourth Edition), page 56455

Math 7/6, Lesson 104Sample taken from Math 7/6 (Fourth Edition), page 56556

Math 7/6, Lesson 104Sample taken from Math 7/6 (Fourth Edition), page 56657

Math 7/6, Investigation 7Sample taken from Math 7/6 (Fourth Edition), page 37458

Math 7/6, Investigation 7Sample taken from Math 7/6 (Fourth Edition), page 37559

Math 7/6, Investigation 7Sample taken from Math 7/6 (Fourth Edition), page 37660

Math 7/6, Investigation 7Sample taken from Math 7/6 (Fourth Edition), page 37761

Math 7/6, Investigation 7Sample taken from Math 7/6 (Fourth Edition), page 37862

Math 8/7Table of ContentsLesson 35, Adding, Subtracting, Multiplying, and Dividing DecimalNumbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64.Lesson 65, Ratio Problems Involving Totals . . . . . . . . . . . . . . . . . . . . . . . 71Lesson 107, Slope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77Investigation 5, Creating Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8663

Math 8/7, Lesson 35Sample taken from Math 8/7 (Third Edition), page 23564

Math 8/7, Lesson 35Sample taken from Math 8/7 (Third Edition), page 23665

Math 8/7, Lesson 35Sample taken from Math 8/7 (Third Edition), page 23766

Math 8/7, Lesson 35Sample taken from Math 8/7 (Third Edition), page 23867

Math 8/7, Lesson 35Sample taken from Math 8/7 (Third Edition), page 23968

Math 8/7, Lesson 35Sample taken from Math 8/7 (Third Edition), page 24069

Math 8/7, Lesson 35Sample taken from Math 8/7 (Third Edition), page 24170

Math 8/7, Lesson 65Sample taken from Math 8/7 (Third Edition), page 44571

Math 8/7, Lesson 65Sample taken from Math 8/7 (Third Edition), page 44672

Math 8/7, Lesson 65Sample taken from Math 8/7 (Third Edition), page 44773

Math 8/7, Lesson 65Sample taken from Math 8/7 (Third Edition), page 44874

Math 8/7, Lesson 65Sample taken from Math 8/7 (Third Edition), page 44975

Math 8/7, Lesson 65Sample taken from Math 8/7 (Third Edition), page 45076

Math 8/7, Lesson 107Sample taken from Math 8/7 (Third Edition), page 74277

Math 8/7, Lesson 107Sample taken from Math 8/7 (Third Edition), page 74378

Math 8/7, Lesson 107Sample taken from Math 8/7 (Third Edition), page 74479

Math 8/7, Lesson 107Sample taken from Math 8/7 (Third Edition), page 74580

Math 8/7, Lesson 107Sample taken from Math 8/7 (Third Edition), page 74681

Math 8/7, Lesson 107Sample taken from Math 8/7 (Third Edition), page 74782

Math 8/7, Lesson 107Sample taken from Math 8/7 (Third Edition), page 74883

Math 8/7, Lesson 107Sample taken from Math 8/7 (Third Edition), page 74984

Math 8/7, Lesson 107Sample taken from Math 8/7 (Third Edition), page 75085

Math 8/7, Investigation 5Sample taken from Math 8/7 (Third Edition), page 34686

Math 8/7, Investigation 5Sample taken from Math 8/7 (Third Edition), page 34787

Math 8/7, Investigation 5Sample taken from Math 8/7 (Third Edition), page 34888

Math 8/7, Investigation 5Sample taken from Math 8/7 (Third Edition), page 34989

Algebra 1/2Table of ContentsLesson 59. Proportions with Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91Lesson 75, Implied Ratios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94Lesson 105, Evaluating Powers of Negative Bases . . . . . . . . . . . . . . . . . . 9890

Algebra ½, Lesson 59Sample taken from Algebra ½ (Third Edition), page 18991

Algebra ½, Lesson 59Sample taken from Algebra ½ (Third Edition), page 19092

Algebra ½, Lesson 59Sample taken from Algebra ½ (Third Edition), page 19193