**Subject Area:**Mathematics

**Grade:**6

**Domain-Subdomain:**Geometry

**Cluster:**Level 2: Basic Application of Skills & Concepts

**Cluster:**Solve real-world and mathematical problems involving area, surface area, and volume. (Supporting Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

**Date Adopted or Revised:**02/14

**Date of Last Rating:**02/14

**Status:**State Board Approved - Archived

**Assessed:**Yes

**Assessment Limits :**

Items may use all four quadrants. When finding side length, limit polygons to traditional orientation (side lengths perpendicular to axes).**Calculator :**No

**Context :**Allowable

**Test Item #:**Sample Item 1**Question:**A square has a perimeter of 36 units.One vertex of the square is located at (3, 5) on the coordinate grid.

What could be the x- and y-coordinates of another vertex of the square?

x =

y =

**Difficulty:**N/A**Type:**EE: Equation Editor

## Related Courses

## Related Access Points

## Related Resources

## Formative Assessments

## Lesson Plans

## Perspectives Video: Professional/Enthusiast

## Student Center Activity

## Tutorials

## STEM Lessons - Model Eliciting Activity

This lesson requires students to use mathematical data and logic/reasoning to place vendors into retail spaces in a shopping plaza. Students will first rank five vendor types on their profitability (based on average sales and average overhead/upkeep costs), then place the vendor types into the 11-13 retail spaces. They are also required to find the area of each space and calculate the total leasing charges. The plans for the plaza are given on a coordinate plane, so students will need to find the lengths of horizontal and vertical line segments (using the coordinates of the endpoints) to calculate the areas of the rectangular and composite spaces.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

## MFAS Formative Assessments

Students are asked to graph two points given their coordinates and to find the coordinates of two other points so that the four points represent the vertices of a square.

Students are asked to draw a polygon given the coordinates of its vertices and to determine the perimeter of the polygon.

Students are asked to draw a polygon given the coordinates of its vertices, and to determine the area of the polygon.

Students are asked to draw a polygon given the coordinates of its vertices and to determine both the lengths of sides and if any sides are parallel.

Students are asked to draw a polygon given the coordinates of its vertices and to determine the length of the polygon’s diagonals.

## Student Resources

## Student Center Activity

Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.

Type: Student Center Activity

## Tutorials

Students will graph the given coordinates of three of the polygon vertices, then locate and graph the fourth vertex.

Type: Tutorial

In this example, students are given the coordinates of the vertices and asked to construct the resulting polygon, specifically a quadrilateral.

Type: Tutorial