Enriched Geometry

Since Mr. Hickman and Mr. Urbanc are co-teaching enriched geometry this year and Mr Urbanc is already providing an excellent resource for the daily course work, this page will be used to provide mainly supplementary material.

Mr. Urbanc's Website

Schedule 8-26-19 to 8-30-19 

​Topics
monday
  • finish union and intersection
  • start the Segment and Addition Postulate (SAP)
  • start midpoint
  • pass the problem review of union and intersection
tuesday
  • continue monday objectives
wednesday (BACK TO SCHOOL NIGHT)
  • Midpoint and SAP with algebra 
  • Factoring and solving quadratics
thursday
  • finish midpoint and SAP
  • review for Quiz over 1.1-1.3
friday (LABOR DAY WEEKEND) 
  • Quiz 1 1.1 to 1.3
  • Using Segment Addition Postulate (SAP) with algebra and without algebra
  • Determining the midpoint of  line segment with algebra and without algebra.
  • Determining length of line segment (exact, simplified, and approximation) 
  • Distinguish the difference between two rays that share a common enpoint, two copies of same ray, and two rays that form a line
  • Define union and intersection of sets
  • Define union and intersection interms of geometric objects

​Practice

Additional Resources

YOU Tube

This link will lead you to the online textbook for this course
LINK TO ONLINE TEXTBOOK

Chapter 1: Basics of Geometry

Types of Problems:

  • Basic Vocabulary related to geometric objects
  • Proper naming and abbreviations for geometric objects
  • Measurement of distance and angles
  • Use of distance and midpoint between coordinates
  • Definition and classification of angles
  • Use of angle bisectors
  • Names and classification of angle pairs

Notes & Handouts

Practice 

Digital Resources

Chapter 2: Reasoning and Proofs

Types of Problems:

Notes & Handouts

Practice

Digital Resources

Chapter 3: Parallel and Perpendicular Lines

​Types of Problems:

​Practice

​Notes & Handouts

Digital Resources

Chapter 4: Transformations

​Types of Problems:

​Practice

​Notes & Handouts

​Digital Resources

Chapter 5: Congruent Triangles

​​Types of Problems:

​​Notes & Handouts

​​Practice

​Digital Resources

Chapter 6: Relationships Within Triangles

​​​Types of Problems:

​​​Notes & Handouts

​​​Practice

​​Digital Resources

Chapter 7: Quadrilaterals and Other Polygons

​​​Types of Problems:

​​​Practice

​​​Notes & Handouts

​​Digital Resources

Chapter 8: Similarity

​​​Types of Problems:

​​​Notes & Handouts

​​​Practice

​​Digital Resources

Chapter 9: Right Triangles and Trigonometry

​​​Types of Problems:

​​​Practice

​​​Notes & Handouts

​​Digital Resources

Chapter 10: Circles

​​​Types of Problems:

​​​Notes & Handouts

​​​Practice

​​Digital Resources

Chapter 11: Circumference, Area, and Volume

​​​Types of Problems:

​​​Notes & Handouts

​​​Practice

​​Digital Resources

​Topics throughout the semester

Week 1
  • Rewriting verbal statements as algebraic statements, equations, and inequalities
  • Basic Order of Operations (without a calculator)
  • Solving inequalities (number line)
  • Solving linear systems (substitution method)
  • Solving linear systems (elimination method)
  • Solving multi-step linear equations
  • Factoring a quadratic with a = 1
  • Factoring a quadratic with a not 1
  • Solving quadratic equations through factoring
Week 2
  • Naming geometric objects 
  • Using proper notation when naming and describing geometric objects
  • Determining the midpoint of  line segment
  • Determining length of line segment (exact, simplified, and approximation) 
  • Defining collinear points
  • Definition coplanar points
  • Determining if points are collinear
  • Determining if points are coplanar
  • Define union and intersection of sets
  • Define union and intersection in terms of geometric objects
Week 3
​
  • Using Segment Addition Postulate (SAP) with algebra and without algebra
  • Determining the midpoint of  line segment with algebra and without algebra.
  • Determining length of line segment (exact, simplified, and approximation) 
  • Distinguish the difference between two rays that share a common enpoint, two copies of same ray, and two rays that form a line
  • Define union and intersection of sets
  • Define union and intersection interms of geometric objects

​

Suggested Links and Resources