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Big Ideas
End of Unit Assessments
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Big Ideas
End of Unit Assessments
Big Idea:

A polygon is categorized by the length and direction of its line segments on the coordinate plane.

1 week

Evidence of Understanding

• analyze and describe characteristics of polygons on the coordinate plane
• calculate the length and direction of sides of a polygon using the slope and distance formulas
• determine the length or direction of a line segment in relation to the sides of a polygon (including an altitude, perpendicular bisector, etc.)
• compare polygons using the length or direction of their sides, angle, or diagonals to describe how they are similar, congruent, or neither
• calculate and compare the perimeter of various polygons on the coordinate plane
• use the distance formula, Pythagorean Theorem, etc.
• calculate areas of triangles or rectangles on the coordinate plane
• identify points that are needed to calculate area of triangles and rectangles
• explore when area changes or stays the same based on the lengths being used (Example: height of a triangle)
• transform polygons and describe the relationship between a pre-image and its image under a transformation on the coordinate plane
• apply and justify the ratio of the scale factor on perimeter and area

• prove geometric relationships on the coordinate plane
• prove two figures are congruent or similar in the coordinate plane
• use similarity relationships to determine ratios between segments
• classify a polygon using characteristics of its sides, angles, and diagonals
• determine what information is sufficient to prove the classification of a triangle/ quadrilateral
• given a specified polygon, find coordinates of points or lengths or directions of line segments that make the classification valid

Develop conceptual understanding:

perimeter, area

Supporting terms to communicate:

slope, distance, length, parallel, perpendicular, partition, dilation, equilateral, right, isosceles, quadrilateral, rectangle, square, rhombus, parallelogram, diagonals, bisect, midpoint, perpendicular bisector, height, base

Core Resource

A core resource supports multiple days of instruction.

• Proving Polygons
This Core Resource is where students use tools related to the coordinate plane to classify polygons and prove polygons congruent or similar to each other.
Resource:
Proving Polygons

This Core Resource is where students use tools related to the coordinate plane to classify polygons and prove polygons congruent or similar to each other.

All Resources From:
• Unit 6

Coordinate Geometry

Instructional Routine: Contemplate then Calculate
These tasks are embedded within the instructional routine called Contemplate then Calculate.
• Find the Perimeter
Use the symmetry of an octagon and a Pythagorean triple to calculate the perimeter of an octagon.
Resource:
Find the Perimeter

Use the symmetry of an octagon and a Pythagorean triple to calculate the perimeter of an octagon.

All Resources From:
• Unit 6

Coordinate Geometry

Instructional Routine: Sharing Skepticism

The primary goal of this instructional routine is to support students in constructing and critiquing mathematical arguments.

• Prove Points Form a Right Triangle
Students will use what they know about finding distances in a coordinate plane and right triangles to prove that three pairs of coordinates form a right triangle.
Resource:
Prove Points Form a Right Triangle

Students will use what they know about finding distances in a coordinate plane and right triangles to prove that three pairs of coordinates form a right triangle.

All Resources From:
• Unit 6