Math - 2018-19
4.12 - Quadrilaterals
The student will
- classify quadrilaterals as parallelograms, rectangles, squares, rhombi, and/or trapezoids.
So that I can identify the relationship that polygons have in my everyday life
So that I can use polygons to complete tangrams and puzzles
So that I can see how polygons are used in architectural design, building blueprints, and so much more
So that I can describe shapes, using their proper name, after recognizing its characteristics
UNDERSTANDING THE STANDARD
- A quadrilateral is a polygon with four sides.
parallelogram is a quadrilateral with both pairs of opposite sides parallel and
figures have the same size and shape.
Congruent sides are the same length.
- A rectangle
is a quadrilateral with four right angles, and, opposite sides that are
parallel and congruent.
geometric markings shown on the rectangle below indicate parallel sides with an
equal number of arrows and congruent sides indicated with an equal number of
hatch (hash) marks.
- A square is
a rectangle with four congruent sides and four right angles.
A trapezoid is a quadrilateral with exactly one pair of parallel sides.
A rhombus is a quadrilateral with 4 congruent sides. Properties of a rhombus include the following:
- opposite sides are congruent
- opposite sides are parallel
- opposite angles are congruent
The student will use problem solving, mathematical communication, mathematical reasoning, connections and representation to
definitions for parallelograms, rectangles, squares, rhombi, and trapezoids.
properties of quadrilaterals including parallel, perpendicular, and congruent
quadrilaterals as parallelograms, rectangles, squares, rhombi, and/or
- Compare and
contrast the properties of quadrilaterals.
parallel sides, congruent sides, and right angles using geometric markings to
denote properties of quadrilaterals.