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MATH Courses for School GPA STARPREP® MATHEMATICS PROGRAMSGeometry

Geometry involves the study of points, lines, planes and other geometric figures as they relate to our physical world. Students will learn to measure geometric figures and their areas and volumes; develop their logic and inductive and deductive reasoning skills. The relationship between figures and properties that make figures unique will be developed and applied to real world situations Constructions, Loci and Coordinate Geometry will also be studied. This class will greatly help with earning a good score on the SAT or ACT tests for college.

Geometry

STARPREP®에서 제공하는 Trigonometry™, High School 프로그램은
Boosting GPA for School Exams 내신성적 향상수업과 GPA Boost for Concepts 개념위주 수업
을 제공하며 학생 요구(Needs)에 따라 최적의 수업진행을 선택할 수 있습니다.

[학생의 성적/수업 이해도에 따라 수업이 진행됩니다.]

for Graders 9-11
(STARPREP® course code: TRIGO)


Professor
Yeeun Sung (UC Berkeley, BS 학사졸업, 9년차 경력)

Registration Board

High School Geometry™

  • Course Code/Professor(Alma Mater)
  • STARPREP® COURSE CODE : GEOME-01


    ★ Geometry GPA-Boosting Course ★
    학교 내신점수향상 대비반

    Professor
    Yeeun Sung (BS, UC Berkeley, 경력 9년차)
  • Features/Legacy
  • ★GPA BOOST & SIGNATURE LESSON★

    Geometry™ 내신성적향상 수업

    ImproveMyGPA™
    Students' Satisfaction : above 99%

    Optimizing Concurrent Classrooms
    (In the Classroom And Online Simultaneously)
  • Geometry™
9
Lecture Dates/Registration Status Course Code/Specialty Features/Legacy
Lecture Date
Every Friday 6:00pm-9:00pm
Currently Open

★Registration Status★ OPEN Registration Form 등록 신청서
STARPREP® COURSE CODE : GEOME-01

★Geometry™ 내신성적향상 수업★
ImproveMyGPA™

★GPA BOOST & SIGNATURE LESSON★

Geometry™ 내신성적향상 수업

ImproveMyGPA™
Students' Satisfaction : above 99%

Optimizing Concurrent Classrooms
(In the Classroom And Online Simultaneously)
Geometry™ Geometry™

Curriculum Guide

High School Geometry

01 Building a Geometry Vocabulary

1-1  The Building Blocks of Geometry
1-2  Definitions and Postulates
1-3  Indctive Versus Deductive Reasoning
1-4  The IF ... THEN ... Sentence Structure
1-5  Review Exercise

02 Measure and Congruence

2-1  Measurements of Segments and Anggles
2-2  Betweenness of Points and Rays
2-3  Congruence
2-4  Basic Constructions
2-5  Midpoint and Bisector
2-6  Diagrams and Drawing Conclusions
2-7  Properties of Equality and Congruence
2-8  Additional Properties of Equality
2-9  The Two-Column Proof Format
2-10  Review Exercise

03 Angle Pairs and Perpendicular Lines

3-1  Supplementary and Complementary Angle Pairs
3-2  Adjacent and Vertical Angle Pairs
3-3  Theorems Relating to Complementary, Supplementary, and Vertical Angles
3-4  Definitions and Theorems Relating to Right Angles and Perpendiculars
3-5  A Word About the Format of a Proof
3-6  Review Exercise

04 Parallel Lines

4-1  Planes and Line
4-2  Properties of Parallel Lines
4-3  Converses and Methods of Proving Lines Parallel
4-4  The Parallel Postulate
4-5  Review Exercise

05 Angles of a Polygon

5-1  The Anatomy of a Polygon
5-2  Angles of a Triangle
5-3  Exterior angles of a Triangle
5-4  Angles of a Polygon
5-5  Review Exercise

06 Proving Triangles Are Congruent

6-1  Correspondences and Congruent Triangles
6-2  Proving Triangles Congruent: SSS, SAS, and ASA Postulates
6-3  Proving Overlapping Triangles Congruent
6-4  Proving Triangles Congruent: AAA and Hy-Leg Methods
6-5  When Two Triangles Are Not Congruent
6-6  Review Exercise

07 Applying Congruent Triangles

7-1  Using Congruent Traingles to Prove Segments and Angles Congruent
7-2  Using Congruent Traingles to Prove Special Properties of Lines
7-3  Classifying Triangles and Special Segments
7-4  The Isosceles Triangle
7-5  Double congruence Proofs
7-6  Review Exercise
7-7  Cumulative Review Excercises: Ch.1-7

08 Transformation Geometry

8-1  Terms and notation
8-2  Congruence Transformations
8-3  Classifying Isometrics
8-4  Size Transformations
8-5  Types of Symmetry
8-6  Transformations in the Coordinate Plane
8-7  Composing Transformations
8-8  Congruent Proofs Using Transformations
8-9  Review Exercise

09 Ratio, Proportion, and Similarity

9-1  Ratio and Proportion
9-2  Proportions in a Triangle
9-3  When Are Polygons Similar?
9-4  Proving Triangles Similar
9-5  Proving Lengths of Sides of Similar Trangles in Proportion
9-6  Proving Products of Segment Lengths Equal
9-7  Applications of Similar Trangles
9-8  Review Exercise

10 The Right Triangle

10-1  Proportions in a Right Triangle
10-2  The Pythagorean Theorem
10-3  Special Right-Triangle Relationships
10-4  Trigonometric Ratios
10-5  Indirect Measurement in a Right Triangle
10-6  Review Exercise

11 Geometric Inequalities, Indirect Proof, and Concurrencies

11-1  Some Basic Properties of Inequalities
11-2  Inequality Relationships in a Triangle
11-3  Points of Concurrency in a Triangle
11-4  The Indirect Method of Proof
11-5  Review Exercise
11-6  Cumulative Review Exercises: Ch.8-11

12 Special Quadrilaterals

12-1  Classifying Quadrilaterals
12-2  Properties of a Trapezoid
12-3  Properties of a Parallelogram
12-4  Properties of Special Parallelograms
12-5  Proving a Quadrilateral Is a Prallelogram
12-6  The Isosceles Trapezoid
12-7  Review Exercise

13 Circles and Angle Measurement

13-1  The Parts of a Circle
13-2  Arcs and Central Angles
13-3  Diameters and Chords
13-4  Tangents and Secants
13-5  Angle Measurement: Vertex on the Circle
13-6  Angle Measurement: Vertex in the Interior of the Circle
13-7  Angle Measurement: Vertex in the Exterior of the Circle
13-8  Using Angle-Measurement Theorems
13-9  Review Exercise

14 Chord, Tangent, and Secent Segments

14-1  Equidistant Chords
14-2  Tangents and Circles
14-3  Similar Triangles and Circles
14-4  Tangent- and Secant-Segment Relationships
14-5  Circumference and Arc Length
14-6  Review Exercise

15 Area and Volume

15-1  Areas of a Rectangle, Square, and Parallelogram
15-2  Area of a Triangle
15-3  Comparing Areas
15-4  Areas of a Circle, Sector, and Segment
15-5  Geometric Solids
15-6  Similar Solids
15-7  Review Exercise

16 Coordinate Geometry

16-1  Finding Area Using Coordinates
16-2  The Midpoint and Distance Formulas
16-3  Partitioning a Line Segment
16-4  Slope of a Line
16-5  Equation of a Line
16-6  Equation of a Circle
16-7  Proofs Using Coordinates
16-8  Review Exercise
16-9  Cumulative Review Exercises: Ch.12-16

01 Building a Geometry Vocabulary

1-1  The Building Blocks of Geometry
1-2  Definitions and Postulates
1-3  Indctive Versus Deductive Reasoning
1-4  The IF ... THEN ... Sentence Structure
1-5  Review Exercise

02 Measure and Congruence

2-1  Measurements of Segments and Anggles
2-2  Betweenness of Points and Rays
2-3  Congruence
2-4  Basic Constructions
2-5  Midpoint and Bisector
2-6  Diagrams and Drawing Conclusions
2-7  Properties of Equality and Congruence
2-8  Additional Properties of Equality
2-9  The Two-Column Proof Format
2-10  Review Exercise

03 Angle Pairs and Perpendicular Lines

3-1  Supplementary and Complementary Angle Pairs
3-2  Adjacent and Vertical Angle Pairs
3-3  Theorems Relating to Complementary, Supplementary, and Vertical Angles
3-4  Definitions and Theorems Relating to Right Angles and Perpendiculars
3-5  A Word About the Format of a Proof
3-6  Review Exercise

04 Parallel Lines

4-1  Planes and Line
4-2  Properties of Parallel Lines
4-3  Converses and Methods of Proving Lines Parallel
4-4  The Parallel Postulate
4-5  Review Exercise

05 Angles of a Polygon

5-1  The Anatomy of a Polygon
5-2  Angles of a Triangle
5-3  Exterior angles of a Triangle
5-4  Angles of a Polygon
5-5  Review Exercise

06 Proving Triangles Are Congruent

6-1  Correspondences and Congruent Triangles
6-2  Proving Triangles Congruent: SSS, SAS, and ASA Postulates
6-3  Proving Overlapping Triangles Congruent
6-4  Proving Triangles Congruent: AAA and Hy-Leg Methods
6-5  When Two Triangles Are Not Congruent
6-6  Review Exercise

07 Applying Congruent Triangles

7-1  Using Congruent Traingles to Prove Segments and Angles Congruent
7-2  Using Congruent Traingles to Prove Special Properties of Lines
7-3  Classifying Triangles and Special Segments
7-4  The Isosceles Triangle
7-5  Double congruence Proofs
7-6  Review Exercise
7-7  Cumulative Review Excercises: Ch.1-7

08 Transformation Geometry

8-1  Terms and notation
8-2  Congruence Transformations
8-3  Classifying Isometrics
8-4  Size Transformations
8-5  Types of Symmetry
8-6  Transformations in the Coordinate Plane
8-7  Composing Transformations
8-8  Congruent Proofs Using Transformations
8-9  Review Exercise

09 Ratio, Proportion, and Similarity

9-1  Ratio and Proportion
9-2  Proportions in a Triangle
9-3  When Are Polygons Similar?
9-4  Proving Triangles Similar
9-5  Proving Lengths of Sides of Similar Trangles in Proportion
9-6  Proving Products of Segment Lengths Equal
9-7  Applications of Similar Trangles
9-8  Review Exercise

10 The Right Triangl

10-1  Proportions in a Right Triangle
10-2  The Pythagorean Theorem
10-3  Special Right-Triangle Relationships
10-4  Trigonometric Ratios
10-5  Indirect Measurement in a Right Triangle
10-6  Review Exercise

11 Geometric Inequalities, Indirect Proof, and Concurrencies

11-1  Some Basic Properties of Inequalities
11-2  Inequality Relationships in a Triangle
11-3  Points of Concurrency in a Triangle
11-4  The Indirect Method of Proof
11-5  Review Exercise
11-6  Cumulative Review Exercises: Ch.8-11

12 Special Quadrilaterals

12-1  Classifying Quadrilaterals
12-2  Properties of a Trapezoid
12-3  Properties of a Parallelogram
12-4  Properties of Special Parallelograms
12-5  Proving a Quadrilateral Is a Prallelogram
12-6  The Isosceles Trapezoid
12-7  Review Exercise

13 Circles and Angle Measurement

13-1  The Parts of a Circle
13-2  Arcs and Central Angles
13-3  Diameters and Chords
13-4  Tangents and Secants
13-5  Angle Measurement: Vertex on the Circle
13-6  Angle Measurement: Vertex in the Interior of the Circle
13-7  Angle Measurement: Vertex in the Exterior of the Circle
13-8  Using Angle-Measurement Theorems
13-9  Review Exercise

14 Chord, Tangent, and Secent Segments

14-1  Equidistant Chords
14-2  Tangents and Circles
14-3  Similar Triangles and Circles
14-4  Tangent- and Secant-Segment Relationships
14-5  Circumference and Arc Length
14-6  Review Exercise

15 Area and Volume

15-1  Areas of a Rectangle, Square, and Parallelogram
15-2  Area of a Triangle
15-3  Comparing Areas
15-4  Areas of a Circle, Sector, and Segment
15-5  Geometric Solids
15-6  Similar Solids
15-7  Review Exercise

16 Coordinate Geometry

16-1  Finding Area Using Coordinates
16-2  The Midpoint and Distance Formulas
16-3  Partitioning a Line Segment
16-4  Slope of a Line
16-5  Equation of a Line
16-6  Equation of a Circle
16-7  Proofs Using Coordinates
16-8  Review Exercise
16-9  Cumulative Review Exercises: Ch.12-16


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Reference Lectures

Geometry

Introduction, Geometry Final Review, Geometry
Solving Problems, Geometry Triangle Sum Theorem, Geometry
Area, Geometry Review, Geometry