## Name:______

1) Locate five or more circles in the classroom.**Measure the parts of each circle. Analyze your data and explain**in writing the relationship between the parts of a circle (radius, diameter, circumference). / 2) Create a crossword puzzle or game using at least twenty vocabulary terms from the geometry unit. Develop a plan for using your creation to teach the vocabulary terms to other students. /

**3) Construct and classify**models of triangles (scalene, equilateral, isosceles, equiangular, acute, obtuse, and right) using straws, Popsicle sticks, or other materials available.

**Label each model and justify**your classifications in writing.

**4) Compose and perform**(via audio, video, or in person) a poem or rap that describes points, lines, rays, line segments, vertices, angles and planes. / 5) Identify an example of a transformation in the pattern of a quilt, carpet, or fabric.

a)

**Illustrate, photograph or sketch**the example.

b)

**Interpret and describe**in writing the transformation used to create the design. / 6) Find the minimum number of triangles formed by connecting vertices of each figure listed on the chart below.

**Complete the chart to discover a pattern. Determine**a formula for finding the sum of the measures of the angles of a polygon with

**n sides. Justify**the formula in writing.

Type of Polygon / Number of sides / Number of triangles / Sum of the interior angles

triangle / 3 / 1 / 180

quadrilateral

pentagon

hexagon

heptagon

octagons

7) Draft three differentdesigns for a prism-shaped candy box with a volume between 720 cm3 – 750 cm3, inclusively.

**Sketch and label**your diagrams. / 8) Brainstorm a list of at least five careers that use measurement.

**Research one of these careers and create**a visual presentation (poster, (PowerPoint, brochure, etc.) that explains how that career uses measurement. / 9) Propose your own geometry or measurement related enrichment challenge.

** Grade 6 Math Extension Menu**

**Geometry and Measurement**

**Directions: (To be added by teacher)**

**Teacher Resource Page**

**Grade 6 Math Extension Menu**

**Unit: Geometry and Measurement**

**Topic: Plane Geometric Figures, Congruence and Similarity, Transformations, Measurement Tools, Applications in Measurement**

Intended Use: Culminating activity for the unit or alternative activity for

students who have mastered curricular indicators

Standard(s) and Indicators Addressed:

Box 1: KNOWLEDGE OF GEOMETRY MA.600.20.35 Identify and compare the relationship between the parts of a circle using radius, diameter, and circumference (pi = 3.14)

Box 2: KNOWLEDGE OF GEOMETRY MA.600.20 Apply the properties of one-, two-, or three-dimensional geometric figures to describe, reason, or solve problems about shape, size, position, or motion of objects.

Box 3:KNOWLEDGE OF GEOMETRY MA.600.20.15Compare or classify triangles as scalene, equilateral or isosceles

KNOWLEDGE OF GEOMETRY MA.600.20.20Compare or classify triangles as equiangular, obtuse, acute, or right

Box 4:KNOWLEDGE OF GEOMETRY MA.600.20.05 Identify, describe, and label points, lines, rays, line segments, vertices, angles and planes using the correct symbolic notation

Box 5: KNOWLEDGE OF GEOMETRY MA.600.20.60Analyze and plot the result of one transformation (translation, reflection, rotation of 90° or 180°) on a coordinate plane

Box 6:KNOWLEDGE OF GEOMETRY MA.600.20.25Use the concept of the sum of angles in any triangle is 180° to determine the third angle measure of a triangle given two angle measures without a diagram

Box 7:KNOWLEDGE OF MEASUREMENT MA.600.30.25 Estimate and determine the volume of rectangular prisms with whole number dimensions (0 – 1,000)

###### Box 8: KNOWLEDGE OF MEASUREMENT MA.600.30.05 Measure in customary and metric units

FCPS Math/ Geometry-Measurement Unit/ Grade 6