Name:________________________________________________________________________________Date:_____/_____/__________ BRAIN BLITZ/Warm-UP

Spiral Back:Evaluate the following when x = -2 and y = 31) -4y – x + (3+ x2)

Solve the following equations:

5) When multiplying or dividing by a _________________ number, we SWITCH the inequality sign!

2) x – 6 = -20 3) 2x – 2 = -16 4) x = 10

Let’s see what you

remember!

Solve AND graph the following inequalities (SWITCH SIGN when needed):6) x + 3 > -7 7) -5x ≥ 20 8) -4 <

Today’s Lesson:

What: Quadrilaterals

Why: To introduce basic geometry vocabulary and focus on quadrilateral relationships.

What do you remember??

Prior Knowledge/ Essential Vocabulary . . .Congruent– objects that are the __________ size and shape.Line— goes ________________ in both directions. (⟷ )Ray— goes forever in _________ direction. ( ⟶ )Line Segment– has both a beginning and an _______. ( ─ )Parallel Lines– two or more lines that will never ________________ . ( | | )Perpendicular – two line segments/ lines that meet in such a way that ___________ angles are formed. (⏊)

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endintersect

right

Vertex — __________ where two line segments meet.Angle— formed when two _________ come together at the same vertex.Acute Angle— measures ________ than ______ .Obtuse Angle–measures ________ than ______ .Right Angle– measures exactly ______ .

Prior Knowledge/ Essential Vocabulary . . .

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Polygon— simple, closed figure formed by _____ or more line ________________ . Polygons are NOT __________ .Triangle — _____ sides.Quadrilateral — _____ sides.Pentagon — _____ sides.Hexagon— _____ sides.Heptagon — _____ sides.Octagon — _____ sides.Nonagon — _____ sides.Decagon — _____ sides.

Prior Knowledge/ Essential Vocabulary . . .

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Adjacent Sides— two sides of a polygon that share the same ___________ (side-by-side).Opposite Sides— sides that are directly ______________ from one another.vertex opposite

Quadrilateral Vocabulary . . .

Vocabulary:Quadrilateral– closed figure with ______ sides and ________ angles.Trapezoid– has one pair of ____________ sides.Parallelogram– opposite sides ___________ and opposite sides ____________. The diagonals in every parallelogram _____________ eachother (cuts shape into 2 equal parts).Rectangle– parallelogram with 4 __________ angles.Square– parallelogram with 4 right angles and 4 ______________ sides.Rhombus– parallelogram with 4 congruent ___________ .There is a total of ___________ degrees in every quadrilateral!

4 4parallelparallelcongruentbisectright congruentsides360

Quadrilaterals . . . How ARE they rELATED?

ALWAYS UP, SOMETIMES

DOWN,NEVER SIDE-to-

SIDE!

QuadrilateralSORTING LAB

(teacher will give directions)

Examples of “Congruency” and “Parallel” Notation:

congruent

parallel

Quadrilateral characteristics . . .

Only 1 set of parallel sides2 sets of parallel sides4 congruent sides2 sets of congruent sidesOpposite angles congruentDiagonals bisect the figureMUST have 4 right angles

Place a check mark in the appropriate boxes:Para

llelogram

Rectangl

eRhom

busSqua

reTrap

ezoid Kite

√√√√√√√

√√ √√√√√√√√√√√

END OF LESSON

The next slides are student copies of the notes for this lesson. These notes were handed out in class

and filled-in as the lesson progressed.

NOTE: The last slide(s) in any lesson slideshow represent the homework assigned

for that day.

Math-7 NOTES DATE: ______/_______/_______What: QuadrilateralsWhy: To introduce basic geometry vocabulary and focus on quadrilateral relationships.NAME:

Congruent– objects that are the __________ size and shape.Line— goes ________________ in both directions. (⟷ )Ray— goes forever in _________ direction.

( ⟶ )Line Segment– has both a beginning and

an _______. ( )Parallel Lines– two or more lines that will never ________________ . ( I I )Perpendicular – two line segments/ lines that meet

in such a way that ___________ angles are

formed. (┴)Vertex — __________ where two line segments meet.Angle— formed when two _________ come together at the same vertexAcute Angle— measures ________ than ______ .Obtuse Angle–measures ________ than ______ .Right Angle– measures exactly ______ .Polygon— simple, closed figure formed by

_____ or more line ________________ . Polygons are NOT __________ .

Triangle — _____ sides.Quadrilateral — _____ sides.Pentagon — _____ sides.Hexagon— _____ sides.Heptagon — _____ sides.Octagon — _____ sides.Nonagon — _____ sides.Decagon — _____ sides.

Prior Knowledge/ Essential Vocabulary

Adjacent Sides— two sides of a polygon that share the same ___________ (side-by-side).Opposite Sides— sides that are directly ________________ from one another.

Quadrilateral Vocabulary:

Quadrilateral– closed figure with ______ sides and ________ angles.Trapezoid– has one pair of ____________ sides.Parallelogram– opposite sides ___________ and opposite sides ____________. The diagonals in any parallelogram _________________ eachother (cuts shape into 2 equal parts).Rectangle– parallelogram with 4 __________ angles.Square– parallelogram with 4 right angles and 4 ______________ sides.Rhombus– parallelogram with 4 congruent ___________ .There is a total of ___________ degrees in every quadrilateral!

HOW ARE quadrilaterals RELATED?

ALWAYS UP, SOMETIMES DOWN,

NEVER SIDE-to-SIDE!

Examples of “Congruency” and “Parallel” Notation:

Matching tick marks mean those

sides are _________________.

Matching arrow marks mean those

sides are _________________.

4 sides congruent

Top congruent to bottom/

Left congruent to right . . .

Quadrilateral characteristics . . .

Top parallel to bottom/Left parallel to right . . .

Parallelogram Rectangle Rhombus Square Trapezoid KiteOnly 1 set of parallel sides2 sets of parallel sides4 congruent sides2 sets of congruent sidesOpposite angles congruentDiagonals bisect the figureMUST have 4 right angles

Place a check mark in the appropriate boxes:

Math-7 Classwork

Name:__________________________________________________________________________________ Date: _____/_____/__________“Quadrilateral Characteristics”

True or False (correct “False” answers in order to make them “True”):

1) _____ Every square is also a rhombus.2) _____ Every rhombus is also a square.3) _____ Every rectangle is a parallelogram.4) _____ Parallelograms have opposite sides that are perpendicular.5) _____ A square is a special type of trapezoid.6) _____ Not all rectangles are squares.7) _____ It is impossible for a square to also be a rectangle.8) _____ A trapezoid is a parallelogram.9) _____ Every trapezoid is also a quadrilateral.10) _____ A quadrilateral can have more than four angles.11) _____ The trapezoid is the only quadrilateral that is NOT a parallelogram.12) _____ SpongeBob has square pants.

Math-7 homeworkName:____________________________________________________________________________________Date:_____/_____/__________Circle the choice that makes the following statements true:1. A rectangle is a parallelogram. A. Sometimes B. Always C. Never2. A parallelogram is a rectangle. A. Sometimes B. Always C. Never3. A rectangle is a square. A. Sometimes B. Always C. Never4. A trapezoid is a parallelogram. A. Sometimes B. Always C. Never5. A square is a rhombus. A. Sometimes B. Always C. Never6. A rhombus is a square. A. Sometimes B. Always C. Never7. A kite is a trapezoid. A. Sometimes B. Always C. Never8. A rhombus is a rectangle. A. Sometimes B. Always C. NeverCircle ALL of the choices that could make the following statements true:9. A quadrilateral with exactly four congruent (equal) sides.

10. A quadrilateral with exactly four right angles.

11. A quadrilateral with two sets of parallel sides.

12. A quadrilateral with exactly one set of parallel sides.13. A quadrilateral with two different sets of opposite, congruent sides.

Square Trapezoid RhombusParallelogram Rectangle KiteSquare Trapezoid Rhombus

Parallelogram Rectangle KiteSquare Trapezoid Rhombus

Parallelogram Rectangle KiteSquare Trapezoid Rhombus

Parallelogram Rectangle KiteSquare Trapezoid Rhombus

Parallelogram Rectangle Kite

“Analyzing Quadrilaterals”

15. A quadrilateral with opposite sides congruent.16. A quadrilateral that does NOT have to contain right angles.

14. A quadrilateral with two different sets of adjacent, congruent sides. Square Trapezoid RhombusParallelogram Rectangle KiteSquare Trapezoid RhombusParallelogram Rectangle KiteSquare Trapezoid RhombusParallelogram Rectangle KiteCircle ALL of the choices that represent the following figures:17.

18.

19.

Square Trapezoid RhombusParallelogram Rectangle KiteSquare Trapezoid Rhombus

Parallelogram Rectangle KiteSquare Trapezoid Rhombus

Parallelogram Rectangle Kite20.

21.

22.

Circle ONE CHOICE that represents the BEST DESCRIPTION for each of the below figures (ONE choice): Square Trapezoid RhombusParallelogram Rectangle KiteSquare Trapezoid Rhombus

Parallelogram Rectangle KiteSquare Trapezoid Rhombus

Parallelogram Rectangle Kite