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

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Teacher Felicia Taylor Geometry Honors 8th 22 5: 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)

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

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