Scope and content charts specifying units, topics, and time allotment are provided for grades 7 and 8. Units covered in grade 7 are sets, systems of numeration, whole numbers, positive rational numbers, geometry, and ratio, proportion, and percent. Units covered in grade 8 are sets, real numbers, ratio, proportion and percent, geometry, coordinate…

This is part one of a three-part School Mathematics Study Group (SMSG) textbook. This part contains the first five chapters including: (1) Analytic Geometry, (2) Coordinates and the Line, (3) Vectors and Their Applications, (4) Proof by Analytic Methods, and (5) Graphs and Their Equations. (MK)

This is part one of a three-part teacher's guide for an SMSG text designed to be used as a one-semester course for twelfth-grade students. This guide includes a suggested time schedule, a teacher's commentary, and answers to exercises. (MK)

This is part two of a three-part teacher's guide to an SMSG textbook designed to be used as a one-semester course for twelfth-grade students. For chapters 6 through 10, this guide includes a teacher's commentary and answers to the exercises. (MK)

This is part three of a three-part teacher's guide to an SMSG textbook designed to be used as a one-semester course for twelfth-grade students. This guide contains a teacher's commentary and answers to materials that can be used to supplement the regular course found in the first ten chapters of the text. (MK)

This is part one of a two-part SMSG mathematics text for high school students. Topics include plane geometry, real numbers, triangles and angles, congruence, construction, parallel lines, perpendicular lines, and parallelograms. The text is written in Spanish. (RH)

This is part two of a two-part SMSG mathematics text for high school students. Chapter topics include: (1) perpendicular lines and planes in space; (2) parallel lines in a plane; (3) parallel lines in space; (4) areas of polygonal regions: (5) similarity; (6) circles and spheres; (7) constructions; (8) the area of a circle and related topics; and…

This is part two of a three-part SMSG algebra text for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include addition and multiplication of real numbers, subtraction and division…

The objectives of this module include: (1) improving general arithmetic skills including whole numbers, fractions, and decimal fractions; (2) learning to compute averages; (3) strengthening knowledge of percent; (4) learning to locate needed information or statistical data; (5) reviewing or learning the use of the Pythagorean Theorem; (6)…

CALIFORNIA STATE-ADOPTED MATHEMATICS TEXTBOOKS FOR GRADES 1 THROUGH 8 WERE ANALYZED TO DETERMINE THE READABILITY LEVELS, THE AMOUNT OF EXPOSITORY AND STORY-PROBLEM READING REQUIRED, AND THE FREQUENCY OF MATHEMATICS VOCABULARY USED. READABILITY WAS DETERMINED THROUGH THE DALE-CHALL FORMULA AND THE FINDINGS OF AN EARLIER STUDY USING SPACHE'S…

THIS TRANSITIONAL CURRICULUM GUIDE WAS DESIGNED TO SERVE THE FOLLOWING PURPOSES--(1) TO POINT OUT THE VARIOUS CONCEPTS, DEFINITIONS, MEANINGS, AND APPLICATIONS RELATED TO CERTAIN AREAS OF MATHEMATICS WHICH SHOULD BE THE CONTENT OF MATHEMATICS IN GRADES SEVEN AND EIGHT, (2) TO BRIDGE THE GAP BETWEEN TRANSITIONAL PROGRAMS AND MORE MODERNIZED…

The approach to teaching group theory used in this report was to give students many different kinds of examples of the concept being taught. The functions of models and examples in terms of student preferences and the psychology of the learning experience are discussed. Six representations of the tetrahedral group were developed as test materials.…

The goal of this study was to identify the origins of observed sex differences in high school mathematics achievement. At the beginning of high school, boys and girls did not differ significantly in their levels of mathematics achievement, but by twelfth grade the boys had gained over twice as much as the girls. The findings from this study reveal…

This is part one of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include number line and coordinates, equations, scientific notation,…

This learning module for use with junior high school students offers some basic career awareness in the energy field while covering some basic principles and aspects of energy use, such as vocabulary, basic electricity, energy efficiency, and home utility meter reading. Math problems are offered in volume and surface area, energy efficiency,…