Quarter 3, Week 4: January 29th – February 2nd

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TeacherFelicia Taylor
Subject AreaGeometry Honors
Grade Level8th
Week #22
Unit of Instruction5: Quadrilaterals and Coordinate Geometry
Standard(s) Taught

MAFS.912.G-GPE.2.4

Use coordinates to prove simple geometric theorems algebraically.

MAFS.912.G-GPE.2.5

Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

MAFS.912.G-GPE.2.6

Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

Learning Targets and Learning Criteria

I can…

• choose appropriate formula (such as distance, midpoint, or slope) to identify the geometric figure and its properties.
• prove or disprove that a figure defined by given points in the coordinate plane is a triangle, rectangle, kite, rhombus, trapezoid, square, regular polygon, etc.
• use coordinates and the appropriate formula to prove or disprove a claim about a figure.

•state that parallel lines have the same slope.

• determine if lines are parallel using their slopes.
• write the equation for parallel lines.
• state that perpendicular lines have the opposite reciprocal slopes. (the product of the slopes equals -1)
• determine if lines are perpendicular using their slopes.
• write the equation for perpendicular lines.
• use the slope criteria to prove parallel lines and perpendicular lines.

• find the point on a directed line segment whose endpoints partitions the line segment into a given ratio. This includes:
• finding a missing endpoint given a point and the other endpoint.
• dividing a segment into thirds, fourths, etc.
• given a ratio, one point and one endpoint finding the other endpoint.
• find a ratio when the endpoints and a point on the line segment is given

Classroom Activities

Monday (2nd Period) / Tuesday (7th & 8th Periods)

  • kahoot! – Review Trapezoids and Kites
  • Bellringer – Trapezoids and Kites
  • Instruction
    • Find and Use Slopes of Lines
    • Write and Graph Equations of Lines
    • Geometry Nation:  Parallel and Perpendicular Lines

Wednesday (Early Release Day – All classes – 40 minutes)

  • kahoot! – Parallel and Perpendicular Lines
  • Instruction 
    • Geometry Nation – Parallel and Perpendicular Lines continued

Thursday (2nd Period) / Friday (7th & 8th Periods)

  • Instruction 
    • Midpoint and Distance in the Coordinate Plane
    • Polygons in the Coordinate Plane
  • Exit Ticket – Polygons in the Coordinate Plane

 

Assignments Due

Summatives

None

Formatives

  1. Exit Ticket – Trapezoids and Kites – due Monday, January 29th (2nd Period)
  2. Worksheet – Conditions of Rhombuses Rectangles and Squares – due Monday, January 29th (2nd Period) / due Tuesday, January 30th (7th & 8th Periods)
  3. Worksheet – Trapezoids and Kites – due Tuesday, January 30th
  4. Exit Ticket – Polygons in the Coordinate Plane – due Thursday, February 1st (2nd Period) / due Friday, February 2nd (7th & 8th Periods)
Additional Resources

Please review our notes in Canvas or on Nearpod.

  1. The Polygon-Angle Sum Theorems
  2. Properties of Parallelograms
  3. Proving That a Quadrilateral is a Parallelogram
  4. Properties of Rhombuses Rectangles and Squares
  5. Conditions of Rhombuses Rectangles and Squares
  6. Trapezoids and Kites
  7. Polygons in the Coordinate Plane

If you need additional help, please watch the Geometry Nation videos:

  1. Section 1, Topic 3:  Midpoint and Distance in the Coordinate Plane – Part 1
  2. Section 1, Topic 4:  Midpoint and Distance in the Coordinate Plane – Part 2
  3. Section 1, Topic 5:  Partitioning a Line – Part 1
  4. Section 1, Topic 6:  Partitioning a Line – Part 2
  5. Section 1, Topic 7:  Parallel and Perpendicular Lines – Part 1
  6. Section 1, Topic 8:  Parallel and Perpendicular Lines – Part 2
  7. Section 9, Topic 1:  Introduction to Quadrilaterals – Part 1
  8. Section 9, Topic 2:  Introduction to Quadrilaterals – Part 2
  9. Section 9, Topic 3:  Introduction to Quadrilaterals – Part 3
  10. Section 9, Topic 4:  Parallelograms – Part 1
  11. Section 9, Topic 5:  Parallelograms – Part 2
  12. Section 9, Topic 6:  Rectangles and Squares – Part 1
  13. Section 9, Topic 7:  Rectangles and Squares – Part 2
  14. Section 10, Topic 1: Rhombi
  15. Section 10, Topic 2:  Kites
  16. Section 10, Topic 3: Trapezoids
  17. Section 10, Topic 4: Midsegments of Trapezoids
  18. Section 10, Topic 5:  Quadrilaterals in Coordinate Geometry – Part 1
  19. Section 10, Topic 6:  Quadrilaterals in Coordinate Geometry – Part 2