2014년 5월 12일 월요일

교육 - 수학 - 지오메트리 (Geometry) 온라인 교과서 - McDougal Littell

수학 트랙에 따라서 7-11학년 사이에 배우게 되는 지오메트리에요. 학교에서 가장 많이 쓰는 지오메트리책인 것 같아요. 온라인 버전으로 있어서 올려드려요. 조금 오래 된 에디션이지만 저희 아이 학교에서는 더 오래된 버전을 써요. 수학의 내용이 그리 변하지 않으니 괜찮을 것 같아요. 좀 더 요즘 책으로 구입하시려면 페이지 제일 아래 아마존 링크 참조하시구요.

저는 문과를 택해서인지 한국에서 지오메트리의 경우 문제풀이에 집중을 했던 것 같은데, 저희 아이의 경우에는 두 학기 중 한학기를 [증명]에 시간을 많이 할애하네요. 아이들에 따라서 수학을 잘 하던 아이도 지오메트리에서 좌절하는 경우도 많은 것 같아요. 학기 시작하기 전에 한 번 풀어보면 많은 도움이 될 것 같아요.






페이지 아래 링크된 책 중 스펙트럼 책은 6-8학년을 위한 지오메트리이니 고등학교 과정 지오메트리랑 같은 수준으로 생각하심 안 되요. 지오메트리 듣기 전에 한 번 정도 기초를 다지는 목적으로 풀어보면 좋을 것 같아요.

McDougal Littell Geometry (2001)
http://www.nexuslearning.net/books/ml-geometry/

Table of Contents
Chapter 1 Basics of Geometry
       1-1 Patterns and Inductive Reasoning
       1-2 Points, Lines, and Planes
       1-3 Segments and Their Measures
       1-4 Angles and Their Measures
       1-5 Segment and Angle Bisectors
       1-6 Angle Pair Relationships
       1-7 Introduction to Perimeter, Circumference, and Area
       Chapter Review and Test

Chapter 2 Reasoning and Proof
       2-1 Conditional Statements
       2-2 Definitions and Biconditional Statements
       2-3 Deductive Reasoning
       2-4 Reasoning with Properties from Algebra
       2-5 Proving Statements with Segments
       2-6 Proving Statements about Angles
       Chapter Review and Test

Chapter 3 Perpendicular and Parallel Lines
       3-1 Lines and Angles
       3-2 Proof and Perpendicular Lines
       3-3 Parallel Lines and Transversals
       3-4 Proving Lines are Parallel
       3-5 Using Properties of Parallel Lines
       3-6 Parallel Lines in the Coordinate Plane
       3-7 Perpendicular Lines in the Coordinate Plane
       Chapter Review and Test

Chapter 4 Congruent Triangles
       4-1 Triangles and Angles
       4-2 Congruence and Triangles
       4-3 Proving Triangles are Congruent: SSS and SAS
       4-4 Proving Triangles are Congruent: ASA and AAS
       4-5 Using Congruent Triangles
       4-6 Isosceles, Equilateral and Right Triangles
       4-7 Triangles and Coordinate Proof
       Chapter Review and Test

Chapter 5 Properties of Triangles
       5-1 Perpendiculars and Bisectors
       5-2 Bisectors of a Triangle
       5-3 Medians and Altitudes of a Triangle
       5-4 Midsegment Theorem
       5-5 Inequalities in One Triangle
       5-6 Indirect Proof and Inequalities in Two Triangles
       Chapter Review and Test

Chapter 6 Quadrilaterals
       6-1 Polygons
       6-2 Properties of Parallelograms
       6-3 Proving Quadrilaterals are Parallelograms
       6-4 Rhombuses, Rectangles, and Squares
       6-5 Trapezoids and Kites
       6-6 Special Quadrilaterals
       6-7 Areas of Triangles and Quadrilaterals
       Chapter Review and Test

Chapter 7 Transformations
       7-1 Rigid Motion in a Plane
       7-2 Reflections
       7-3 Rotations
       7-4 Translations and Vectors
       7-5 Glide Reflections and Compositions
       7-6 Frieze Patterns
       Chapter Review and Test

Chapter 8 Similarity
       8-1 Ratio and Proportion
       8-2 Problem Solving in Geometry with Proportions
       8-3 Similar Polygons
       8-4 Similar Triangles
       8-5 Proving Triangles are Similar
       8-6 Proportions and Similar Triangles
       8-7 Dilations
       Chapter Review and Test

Chapter 9 Right Triangles and Trigonometry
       9-1 Similar Right Triangles
       9-2 The Pythagorean Theorem
       9-3 The Converse of the Pythagorean Theorem
       9-4 Special Right Triangles
       9-5 Trigonometric Ratios
       9-6 Solving Right Triangles
       9-7 Vectors
       Chapter Review and Test

Chapter 10 Circles
       10-1 Tangents to Circles
       10-2 Arcs and Chords
       10-3 Inscribed Angles
       10-4 Other Angle Relationships in Circles
       10-5 Segment Lengths in Circles
       10-6 Equations of Circles
       10-7 Locus
       Chapter Review and Test

Chapter 11 Area of Polygons and Circles
       11-1 Angle Measures in Polygons
       11-2 Areas of Regular Polygons
       11-3 Perimeters and Areas of Similar Figures
       11-4 Circumference and Arc Length
       11-5 Areas of Circles and Sectors
       11-6 Geometric Probability
       Chapter Review and Test

Chapter 12 Surface Area and Volume
       12-1 Exploring Solids
       12-2 Surface Area of Prisms and Cylinders
       12-3 Surface Area of Pyramids and Cones
       12-4 Volume of Prisms and Cylinders
       12-5 Volume of Pyramids and Cones
       12-6 Surface Area and Volume of Spheres
       Chapter Review and Test





댓글 1개:

가장 많이 본 글