Common Core Mathematics Grade 5
Real World Problems
Project
Geometry: Classify two-dimensional figures into categories based on their properties
Geometrica Fights Back
· alex.state.al.us/lesson_view.php?id=3009
Modified by Jenn Desmond
Mystery of the Guilty Quadrilateral
Once upon a time long, long ago in a far, far away land know as Geometrica, there occurred an unspeakable crime. On a dark and dreary night as the Circular family lay sleeping in their soft, round beds and dreaming of their favorite dessert, pi, a violent criminal murdered them. Their neighbor, Mrs. Equi Angular said that she and her husband, Mr. Tri Angular, heard the awful blood curdling screams. So, they sprang from their bed to see what was the matter, and what to their wandering eyes did appear but a strange four-sided figure leaping from the Circular’s upstairs window. Well, the Angulars gave a description of the terrible beast and so did many other Geometrica residents. However, to this day, the mystery remains. Therefore, Detective Pentagonal Walsh of Geometrica’s Most Wanted has asked for your assistance in solving this crime. Below you will find descriptions that tipsters have given the authorities. Your job is to list the suspects from your line-up of 8 that meet each set of criteria.
1. Four-sided figure with two sets of parallel sides
Suspects: ______
2. Four-sided figure with four right angles
Suspects: ______
3. Four-sided figure with all sides equal
Suspects: ______
4. Four sided figure with only one set of parallel sides
Suspects: ______
5. Four sided figure whose diagonals are congruent
Suspects: ______
6. Four-sided figure whose diagonals are perpendicular
Suspects: ______
7. Four-sided figure with all equal sides and four right angles
Suspects: ______
8. Four-sided figure with all equal sides and congruent diagonals
Suspects: ______
9. Four-sided figure who opposite sides are congruent
Suspects: ______
10. Four-sided figure with no parallel sides
Suspects: ______
11. Four-sided figure with two right angles
Suspects: ______
12. Four-sided figure with no equal sides ( scalene)
Suspects: ______
13. Suspect might be a parallelogram.
Suspects: ______
14. Suspect might be a trapezoid.
Suspect: ______
Who killed the Circulars? The guilty quadrilateral is the one whose number appears the most in the above list.
Suspect # ______is the criminal.
Vocabulary :
Parallel: two lines that run equidistance from each other. They will never touch or intersect.
Right Angles: angles that measure 90 degrees
Congruent: exact same size or shape
Diagonals: Lines drawn from one corner to its opposite diagonal corner
Perpendicular: two lines, when they intersect, make right angles
The Quadrilateral Family
Quadrilaterals
(Polygons having four sides)
Properties of Parallelograms
1. Opposite sides and opposite angles are congruent
2. Opposite sides are parallel
Properties of Rhombuses
1. Opposite sides and opposite angles are congruent
2. All four sides are congruent
3. Diagonals are perpendicular
Properties of Rectangles
1. Opposite sides and opposite angles are congruent
2. Has four right angles
3. Diagonals are congruent
Properties of Squares
All of the properties of a rhombus and Rectangle
Properties of Trapezoids
1. Have exactly one pair of opposite sides that are parallel