4th & 5th Grade Geometry Challenge

Compiled & presented by:

CATHY JONESMath Instruction SpecialistCenter for Mathematics and Science EducationArkansas NASA Education Resource Center346 N. West Avenue, Room 202Fayetteville, Arkansas 72701(479) 575-3875(479) 575-5680 (FAX)e-mail: cej001@uark.eduWebsite: www.cmase.uark.eduWiki: www.cmasemath.pbwiki.com

A) Build the exact models using the appropriate colored linking cubes. We use the linking cubes so we can keep it together when picking it up and moving it around. Remember the cubes cannot hang in space.

B) Draw the design on Grid paper or Isometric Dot paper.

C) Determine the volume, number of faces, number of edges, and number of vertices of each model.

1. 2. 3. 4. 5. 6.

Name: ____________________________________

Volume: _______ _______ _______ _______ _______ _______

# of Faces: _______ _______ _______ _______ _______ _______

1. 2. 3.

4. 5. 6.

1. three equilateral shapes

2. three polygons having different numbers of sides

3. a block with perpendicular sides

4. a sample of all the regular shaped blocks

5. a block with all acute angles

6. a sample of all the blocks with two acute angles

7. a block having four lines of symmetry (draw the lines)

8. a block with right angles

9. a block with no parallel sides

10. a sample of all irregular shaped blocks

11. a block with two acute angles and two obtuse angles

12. use two different shaped blocks to make one hexagon

13. all the blocks having two obtuse angles

14. a block that has two sides that are not parallel to any other sides

5th Name: _________________________

Find the block or blocks needed. Draw or trace that shape and name it.

Shapes with Line Symmetry have a line or a fold that

makes two reflecting parts .

Looking at symmetrical sides,

each point will have a corresponding

reflection point on the other side.

y

x

Strands: Geometry & Measurement Teaching: G. 9 & 10-Transformation of Shapes & Coordinate Geometry, Prior Knowledge:

G. 8-Geometric Properties M.12 Physical Attributes

(Graphing in all Quadrants)

1. Name the location of the vertices and endpoint that are labeled. Use ordered pairs.

A____________, B__________

C____________, D _________

E____________, F__________

G____________, H__________

I_____________, J__________

2. Reflect the half-a-house across the y axis and locate the vertices and endpoints in the reflected side.

3. The Y axis represents the Line of _____________________.

4. From the completed house find a triangle that is obtuse and outline it in red.

5. Find a rectangle in the completed picture that is congruent to one in the original picture and outline them both in green.

6. a. What is the perimeter of the completed door? ______

b. What is the area of the completed door? ________ c. Discuss how the perimeter and area of the completed door

compare to the perimeter and area of the original door.

_____________________________________

_____________________________________

y

x

vv

Name:______________________________ Coordinate Geometry, Geometric Properties,

Transformations, Area, and Perimeter

A

B

DC

F

E

GH

I J

Name: _______________________________

1

2 3

5 7 84

9 10 11

12 13

6

Strands: Measurement Standard 13: Systems of

Measurement Number and Operations

Standard 1: Number Sense

Geome“Tree” AREA & PERIMETER

5th Real World Problem The city is hiring an artist to make a large holiday tree for display. It has been decided to make a geometric tree divided into squares and rectangles of red and green. It will be symmetrical. Shapes 1, 4, 6, 8, 9 and 11 will be green. The others will be red.

1. What is the area of each rectangle? ___________

2. What is the total area of green?

___________

3. What is the total area of red? ___________

4. What is the perimeter of the entire tree?

___________

5. What percent of the grid is colored? _______

6. What percent is white? ____________

7. What percent is red? __________

8. What percent is green? ___________