**EIP Mathayom Course Description**

**First Semester**

Subject: Additional Mathematics Department: Mathematics

Grade: Mathayom 2 Course Code: MA20203

Hours: 3 Credit: 1.5

Subject: Additional Mathematics Department: Mathematics

Grade: Mathayom 2 Course Code: MA20203

Hours: 3 Credit: 1.5

__Course Description__**Additional Mathematics is designed as a supplemental course to Basic Mathematics (MA22101). Additional Mathematics will be designed to provide additional practice and context for concepts studied in the Basic course, allowing the student increased opportunity to excel at further study in mathematics. The topics are designed to supplement learning in the subject matter. The three major units studied in the first semester are Logical Arguments and Line Relationships, Triangles and Congruence, and Quadrilaterals.**

__Course Objectives__:**1. To make conjectures and find counterexamples for statements**

**2. To use deductive reasoning to reach valid conclusions**

**3. To write proofs involving segment and angle theorems**

4.

4.

**To apply special relationships about interior and exterior angles**

**5. To identify corresponding parts of congruent triangles and prove triangles congruent**

6.

6.

**To apply the definition of congruence in terms of rigid motion to triangles**

**7. To find and use the sum of the measures of the interior and exterior angles of a polygon**

**8. To recognize and apply properties of quadrilaterals**

**9. To compare quadrilaterals**

EIP Mathayom Course Outline Second Semester

Geometry John A. Carter, Ph.D. et al Glencoe

ISBN: 978-0-07-903994-1

2.1 Conjectures and Counterexamples

2.2 Statements, Conditionals, and Biconditionals

2.3 Deductive Reasoning

2.4 Writing Proofs

2.5 Proving Segment Relationships

2.6 Proving Angle Relationships

2.7 Parallel Lines and Transversals

2.8 Slope and Equations of Lines

2.9 Proving Lines Parallel

2.10 Perpendiculars and Distance

4.1 Angles of Triangles

4.2 Congruent Triangles

4.3 Proving Triangles Congruent – SSS, SAS

4.4 Proving Triangles Congruent – ASA, AAS

4.5 Proving Right Triangles Congruent

4.6 Isosceles and Equilateral Triangles

4.7 Triangles and Coordinate Proof

6.1 Angles of Polygons

6.2 Parallelograms

6.3 Tests for Parallelograms

6.4 Special Parallelograms: Rectangles

6.5 Special Parallelograms: Rhombi, Squares

6.6 Trapezoids and Kites

EIP Mathayom Course Outline Second Semester

Geometry John A. Carter, Ph.D. et al Glencoe

ISBN: 978-0-07-903994-1

*Chapter 2 - Logical Arguments and Line Relationships (pages 108 – 215)*2.1 Conjectures and Counterexamples

2.2 Statements, Conditionals, and Biconditionals

2.3 Deductive Reasoning

2.4 Writing Proofs

2.5 Proving Segment Relationships

2.6 Proving Angle Relationships

2.7 Parallel Lines and Transversals

2.8 Slope and Equations of Lines

2.9 Proving Lines Parallel

2.10 Perpendiculars and Distance

*Chapter 4 – Triangles and Congruence (pages 279 - 349)*4.1 Angles of Triangles

4.2 Congruent Triangles

4.3 Proving Triangles Congruent – SSS, SAS

4.4 Proving Triangles Congruent – ASA, AAS

4.5 Proving Right Triangles Congruent

4.6 Isosceles and Equilateral Triangles

4.7 Triangles and Coordinate Proof

*Chapter 6 - Quadrilaterals (pages 420 - 487)*6.1 Angles of Polygons

6.2 Parallelograms

6.3 Tests for Parallelograms

6.4 Special Parallelograms: Rectangles

6.5 Special Parallelograms: Rhombi, Squares

6.6 Trapezoids and Kites