고등학교 기하학 | 전체 커리큘럼(2개 수업/주)

Looking for a Geometry class where your learner will be an active participant in their own learning? Well, look no further! This will be a highly interactive class, where learners participate throughout the entire class, in the way that they personally feel comfortable doing so. At Mind over Math, we believe that every learner should be given the opportunity to participate in ways that feel comfortable for them and promote learning and understanding, for their own individual learning style. Our classes are set up in such a way that does exactly that. 

We will be using the following learning tools during class:

-	Nearpod: an interactive learning tool that provides the teacher with real-time insights into student understanding through interactive lessons and activities
-	Blooket: an exciting new take on the modern classroom review game. It aims to match action with education to create the ultimate learning experience!

The class is taught with the following structure: 

The teacher explains the concepts and discusses them with learners, presents an example, then after each example the teacher presents, the learners get a turn to try their own example on Nearpod. Once the teacher sees that learners have completed the example on Nearpod, they come back together as a group to take up the problem. They continue to go back and forth in this way for the duration of class, so that learners are always given the opportunity to try every concept learned on their own. Learners can participate by asking and answering questions out loud, through the chat, or by simply participating individually on Nearpod – however they feel comfortable and learn best. Blooket games will also be incorporated throughout the classes to consolidate learning, while having fun!  

Learners in this class will need to have completed a full year of 8th grade math/Pre-Algebra as a prerequisite to this course. Algebra 1 is also recommended. 


Below are the units we will be covering in this class:

Unit 1	Basics Of Geometry
Unit 2	Reasoning And Proofs
Unit 3	Parallel And Perpendicular Lines
Unit 4	Transformations
Unit 5	Congruent Triangles
Unit 6	Relationships Within Triangles
Unit 7	Quadrilaterals And Other Polygons
Unit 8	Similarity
Unit 9	Right Triangles And Similarity
Unit 10	Circles
Unit 11	Circumference, Area And Volume

Here is a weekly breakdown of the topics covered in class each week:


FULL YEAR 2024/2025 SECTIONS:

Week of...

Olivia's Mo/We 8pm: 

09-Sep	Basics Of Geometry	points, lines and planes
16-Sep	Basics Of Geometry	measuring and constructing segments
23-Sep	Basics Of Geometry	using midpoint and distance formulas, perimeter and area in the coordinate plane
30-Sep	Basics Of Geometry	measuring and constructing angles and describing pairs of angles started: Reasoning and Proofs   conditional statements and inductive/deductive reasoning
7-Oct   Reasoning and Proofs   Postulates and Diagrams and Algebraic reasoning
14-Oct Reasoning and Proofs   Proving statements about segments and angles & proving geometric relationships
21-Oct  Parallel And Perpendicular Lines   pairs of lines into angles and parallel lines and 
transversals, proofs with parallel lines, proofs with perpendicular lines
28-Oct   Parallel And Perpendicular Lines   equations of parallel lines and equations of perpendicular lines
04-Nov    Transformations          Translations and Reflections
11-Nov     Transformations           Rotations and Congruency and Transformations
18-Nov     Transformations          Dilations and Similarity
25-Nov     Transformations          Transformations
02-Dec    Congruent Triangles    Angles of Triangles and Congruent Polygons
09-Dec    Congruent Triangles    Proving Triangle Congruence by SAS and Equilateral and Isosceles Triangles
16-Dec   Congruent Triangles    Proving Triangle Congruence by SSS and Proving Triangle Congruence by ASA and AAS

**No Class Dec 23 - Jan 3rd**

06-Jan  Congruent Triangles                      Using Congruent Triangles 
13-Jan   Congruent Triangles                      Coordinate Proofs Relationships within Triangles   Perpendicular and Angle Bisectors and Bisectors of Triangles
20-Jan  Relationships within Triangles             Perpendicular & Angle Bisectors 
27-Jan   Relationships within Triangles             Bisectors of Triangles & Medians and Altitudes of Triangles 
03-Feb  Relationships within Triangles                 Medians and Altitudes of Triangles & Bisectors of Triangles and Indirect Proof
10-Feb  Relationships within Triangles                 Inequalities in One Triangle & Inequalities in Two Triangles
17-Feb   Quadrilaterals and Other Polygons         Angles of Polygons & Properties of Parallelograms 
24-Feb   Quadrilaterals and Other Polygons         Proving That a Quadrilateral is a Parallelogram & Properties of Special Parallelograms
03-Mar   Quadrilaterals and Other Polygons         Properties of Trapezoids and Kites & Start Unit 8. Similar Polygons
   


Nathan's Mo/We 2pm class:

09-Sep	Basics Of Geometry	points, lines and planes
16-Sep	Basics Of Geometry	measuring and constructing segments
23-Sep	Basics Of Geometry	using midpoint and distance formulas, perimeter and area in the coordinate plane
30-Sep	Basics Of Geometry	measuring and constructing angles and describing pairs of angles
07-Oct   Reasoning and Proofs   conditional statements and inductive/deductive reasoning
14-Oct   Reasoning and Proofs   Postulates and Diagrams and Algebraic reasoning
21-Oct   Reasoning and Proofs   proving statements about segments and angles & proving geometric relationships
28-Oct  Parallel And Perpendicular Lines   pairs of lines into angles and parallel lines and 
transversals, proofs with parallel lines
04-Nov   Parallel And Perpendicular Lines   proofs with perpendicular lines
11-Nov   Parallel And Perpendicular Lines    equations of parallel lines and equations of perpendicular lines
18-Nov    Transformations          Translation and Reflections and Rotations
25-Nov    Transformations         Congruency and Transformations and Dilations
02-Dec    Transformations         Similarity and Transformations
09-Dec   Congruent Triangles   Angles of Triangles
16-Dec    Congruent Triangles    Congruent Polygons and Proving Triangles by SAS

**No Class Dec 23 - Jan 3rd**

06-Jan    Congruent Triangles   Equilateral and Isosceles Triangles and Proving Triangle Congruence by SSS
13-Jan    Congruent Triangles   Proving Triangle Congruence by ASA and AAS and Using Congruent Triangles    
20-Jan   Congruent Triangles    Coordinate Proofs and Start Ch. 6 Perpendicular and Angle Bisectors
27-Jan    Relationships Within Triangles      Bisectors of Triangles and Medians and Altitudes of Triangles
03-Feb   Relationships Within Triangles      The Triangle Midsegment Theorem and Indirect Proof and Inequalities in One Triangle
10-Feb    Relationships Within Triangles          Inequalities in Two Triangles and Start Unit 7. Angles of Polygons
17-Feb    Quadrilaterals and Other Polygons   Properties of parallelograms and Proving that a quadrilateral is a parallelogram
24-Feb    Quadrilaterals and Other Polygons   Properties of Special Parallelograms and Properties of Trapezoids and Kites


Anna's Sa/Su 1pm: 

14-Sep	Basics Of Geometry	points, lines and planes
21-Sep	Basics Of Geometry	measuring and constructing segments
28-Sep	Basics Of Geometry	using midpoint and distance formulas, perimeter and area in the coordinate plane
05-Oct	Basics Of Geometry	measuring and constructing angles and describing pairs of angles
12-Oct  Reasoning and Proofs   conditional statements and inductive/deductive reasoning FINISH Unit 2
19-Oct  Parallel And Perpendicular Lines   pairs of lines into angles and parallel lines and 
transversals, proofs with parallel lines
26-Oct   Parallel And Perpendicular Lines   proofs with perpendicular lines, equations of 
parallel lines
02-Nov    Parallel And Perpendicular Lines   equations of perpendicular lines
09-Nov   Transformations           Translations and Reflections
11-Nov     Transformations           Rotations and Congruence and Transformations
16-Nov     Transformations          Dilations and Similarity and Transformations
23-Nov    Congruent Triangles   Angles of Triangles and Congruent Polygons
30-Nov    Congruent Triangles    Proving Triangle Congruence by SAS and Equilateral and Isosceles Triangles
07-Dec    Congruent Triangles    Proving Triangle Congruence by SSS and Proving Triangle Congruence by ASA and AAS
14-Dec    Congruent Triangles    Using Congruent Triangles and Coordinate Proofs
21-Dec   Relationships within Triangles   Perpendicular and Angle Bisectors and Bisectors of Triangles

**No Class Dec 23 - Jan 3rd**

04-Jan Relationships within Triangles    Medians and Altitudes of Triangles and The Triangle Midsegment Theorem 
11-Jan  Relationships within Triangles   Indirect Proof and Inequalities in One Triangle and Inequalities in Two Triangles 
18-Jan  Quadrilaterals and other Polygon      Angles of Polygons 
25-Jan  Quadrilaterals and other Polygon     Properties of Parallelograms 
01-Feb  Quadrilaterals and other Polygon     Proving That a Quadrilateral is a Parallelogram and Properties of Special Parallelograms 
03-Feb  Similarity                 Properties of Trapezoids and Kites and Similar Polygons 
10-Feb   Similarity                 Proving Triangle Similarity by AA and Proving Triangle Similarity by SSS and SAS
17-Feb   Similarity                  Proportionality Theorems and start Unit 9. The Pythagorean Theorem
24-Feb    Right Triangles and Trigonometry       Special Right Triangles and Similar Right Triangles
24-Feb    Right Triangles and Trigonometry       The Tangent Ratio and The Sine and Cosine Ratios
03-Mar    Right Triangles and Trigonometry       Solving Right Triangles and Law of Sines and Law of Cosines
     



**we will keep this breakdown up to date so that you can always see what topics will be covered at least 4 weeks out.**


WINTER 2025 SECTION:
Tue/Thu 9:35pm EST


Note: this section is on an accelerated schedule, so it will move at a faster pace.

Week of: 

13-Jan	Unit 1: Basics of Geometry
20-Jan	Unit 1: Basics of Geometry
27-Jan	Unit 2: Reasoning and Proofs
3-Feb	Unit 2: Reasoning and Proofs
10-Feb	Unit 3: Parallel And Perpendicular Lines
17-Feb	Unit 3: Parallel And Perpendicular Lines
24-Feb	Unit 4: Transformations
3-Mar	Unit 4: Transformations
10-Mar	Unit 5: Congruent Triangles
17-Mar	Unit 5: Congruent Triangles
24-Mar	Unit 6: Relationships Within Triangles
31-Mar	Unit 6: Relationships Within Triangles
7-Apr	Unit 7: Quadrilaterals And Other Polygons
14-Apr	Unit 7: Quadrilaterals And Other Polygons
21-Apr	Unit 8: Similarity
28-Apr	Unit 8: Similarity
5-May	Unit 9: Right Triangles And Similarity
12-May	Unit 9: Right Triangles And Similarity
19-May	Unit 10: Circles
26-May	Unit 10: Circles
2-Jun	Unit 11: Circumference, Area And Volume
9-Jun	Unit 11: Circumference, Area And Volume