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
감사합니다
답글삭제