#### Math - 2018-19

The student will

• classify quadrilaterals as parallelograms, rectangles, squares, rhombi, and/or trapezoids.

### BIG IDEAS

• 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.
• A parallelogram is a quadrilateral with both pairs of opposite sides parallel and congruent.
• Congruent 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.

• The 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

### ESSENTIALS

The student will use problem solving, mathematical communication, mathematical reasoning, connections and representation to

• Develop definitions for parallelograms, rectangles, squares, rhombi, and trapezoids.
• Identify properties of quadrilaterals including parallel, perpendicular, and congruent sides.
• Classify quadrilaterals as parallelograms, rectangles, squares, rhombi, and/or trapezoids.
• Compare and contrast the properties of quadrilaterals.
• Identify parallel sides, congruent sides, and right angles using geometric markings to denote properties of quadrilaterals.

### KEY VOCABULARY

Updated: Aug 22, 2018