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A Midpoint Miracle

Resource:
A Midpoint Miracle

This classroom task gives students the opportunity to prove a surprising fact about quadrilaterals: that if we join the midpoints of an arbitrary quadrilateral to form a new quadrilateral, then the new quadrilateral is a parallelogram, even if the original quadrilateral was not.

All Resources From:
• Unit 6

#### Coordinate Geometry

Are They Perpendicular?

Resource:
Are They Perpendicular?

Chunk a diagram and connect to what students know about congruent triangles to prove that two lines are perpendicular.

All Resources From:
• Unit 6

#### Coordinate Geometry

Distance

Resource:
Distance

Student worksheet to find the distance of a line.

All Resources From:
• Unit 6

#### Coordinate Geometry

Distance and Midpoint on a Map

Resource:
Distance and Midpoint on a Map

School mapped out on a grid that applies length and slope.

All Resources From:
• Unit 6

#### Coordinate Geometry

End of Unit Assessment (Geometry, Unit 6)

Geometry
###### Unit 6: Coordinate Geometry
Resource:
End of Unit Assessment (Geometry, Unit 6)

After this unit, how prepared are your students for the end-of-course Regents examination?  The end of unit assessment is designed to surface how students understand the mathematics in the unit.  It includes spiralled multiple choice and constructed response questions, comparable to those on the end-of-course Regents examination.  A rich task, that allows for multiple entry points and authentic assessment of student learning, may be available for some units and can be included as part of the end of unit assessment.  All elements of the end of unit assessment are aligned to the NYS Mathematics Learning Standards and PARCC Model Frameworks prioritization.

All Resources From:
• Unit 6

#### Coordinate Geometry

Equations of Lines and Graphs

Resource:
Equations of Lines and Graphs

Chunk equations of lines to connect them to graphs using what one knows about lines.

All Resources From:
• Unit 6

#### Coordinate Geometry

Finding Equations of Parallel and Perpendicular Lines

Resource:
Finding Equations of Parallel and Perpendicular Lines

This lesson unit is intended to help you assess how well students are able to understand the relationship between the slopes of parallel and perpendicular lines and, in particular, to help identify students who find it difficult to:

• Find, from their equations, lines that are parallel and perpendicular.
• Identify and use intercepts.

It also aims to encourage discussion on some common misconceptions about equations of lines.

All Resources From:
• Unit 6

#### Coordinate Geometry

Find the Perimeter

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

Guess the Midpoint!

Resource:
Guess the Midpoint!

Interactive website to hook student attention about the midpoint betwen two endpoints.

All Resources From:
• Unit 6

#### Coordinate Geometry

Instructions for Squares and Rectangles

Geometry
###### Unit 6: Coordinate Geometry
Resource:
Instructions for Squares and Rectangles

All Resources From:
• Unit 6

#### Coordinate Geometry

Is It a Right Triangle?

Resource:
Is It a Right Triangle?

Connect what students know about the Pythagorean theorem or similarity to justify why an angle in a triangle on a grid is 90 degrees.

All Resources From:
• Unit 6

#### Coordinate Geometry

Is this a Rectangle?

Resource:
Is this a Rectangle?

The goal of this task is to provide an opportunity for students to apply a wide range of ideas from geometry and algebra in order to show that a given quadrilateral is a rectangle. Creativity will be essential here as the only given information is the Cartesian coordinates of the quadrilateral's vertices.

All Resources From:
• Unit 6