Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

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Visualizing the Area of a Trapezoid Formula @MathletePearce tapintoteenminds.com

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Don't just just the formula; learn how the formula came to be! What better way to do that than by watching an animation that helps you visualize where the algebraic formula for finding the area of a trapezoid comes from?

Transcript of Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

Page 1: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

Visualizing the Area of a Trapezoid Formula

@MathletePearce tapintoteenminds.com

Page 2: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

Visualizing the Area of a Trapezoid Formula

@MathletePearce tapintoteenminds.com

Page 3: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

@MathletePearce tapintoteenminds.com

Triangle A Triangle B

Page 4: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2bhA =2

bhArea of Area ofTriangle A Triangle B

Page 5: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =A =

@MathletePearce tapintoteenminds.com

2bh

2bh

base

heig

ht

heig

ht

base

Area of Area ofTriangle A Triangle B

Page 6: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

Area of

A =

Area ofTriangle A Triangle B

A =

@MathletePearce tapintoteenminds.com

2bh

2bh

base

base

heig

ht

heig

ht

Page 7: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

Area of

A =

Area ofTriangle A Triangle B

A =

@MathletePearce tapintoteenminds.com

2bh

2bh

base

base

heig

ht

heig

ht

Page 8: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

Area of

A =

Area ofTriangle A Triangle B

A =

@MathletePearce tapintoteenminds.com

2bh

2bh

base

base

heig

ht

heig

htA

Page 9: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

Area of

A =

Area ofTriangle A Triangle B

A =

@MathletePearce tapintoteenminds.com

2bh

2h

base

base

heig

ht

heig

ht

a

a

Page 10: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

Area of

A =

Area ofTriangle A Triangle B

A =

@MathletePearce tapintoteenminds.com

2bh

2h

base

base

heig

ht

heig

ht

a

a

b

b

Page 11: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

Area of

A =

Area ofTriangle A Triangle B

A =

@MathletePearce tapintoteenminds.com

2bh

2h

base

base

heig

ht

heig

ht

a

a

b

b

Page 12: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

Page 13: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

Page 14: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

Page 15: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

Page 16: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

Page 17: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+2ha

Page 18: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

2ha

Page 19: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

2ha

Page 20: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

2ha

Page 21: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

2ha

2hb

Page 22: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

2ha

2hb

Page 23: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

2ha

2hb

Page 24: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

2ha

2hb

Page 25: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

2ha

2hb

Page 26: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

2hb

2ha

Page 27: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

Page 28: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

Page 29: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

Page 30: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

Page 31: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

Page 32: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

Page 33: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

Page 34: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

@MathletePearce tapintoteenminds.com

Area of a Trapezoid Formula

h

a

b

A = 2h

2ha b+

Page 35: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

@MathletePearce tapintoteenminds.com

Area of a Trapezoid Formula

h

a

b

A = 2h

2ha b+

Page 36: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

@MathletePearce tapintoteenminds.com

Area of a Trapezoid Formula

h

a

b

A = 2h

2ha b+

Page 37: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

@MathletePearce tapintoteenminds.com

Area of a Trapezoid Formula

h

a

b

A = 2hha b+

Page 38: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

h

a

b

Page 39: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

h

a b

Page 40: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

h

a b

Page 41: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

h

a b

Page 42: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

h

a b

Page 43: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

h

a b

Page 44: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

h

a b

Page 45: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

h

a b

Page 46: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 47: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 48: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 49: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 50: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 51: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 52: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 53: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 54: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 55: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 56: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 57: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 58: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

Page 59: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

h

a

b

Page 60: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

h

a b

Page 61: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

h

a b

Page 62: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

Page 63: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

Page 64: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

Page 65: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

Page 66: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

Page 67: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

Page 68: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

Page 69: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h a b

Area of a Trapezoid Formula+( )

Page 70: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h a b

Area of a Trapezoid Formula

+( )

Page 71: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h a b

Area of a Trapezoid Formula

+( )

A = 2h

2ha b+ A = 2

hha b+

Page 72: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h a b

Area of a Trapezoid Formula

+( )

A = 2h

2ha b+ A = 2

hha b+


A trapezoid base legs Base of a trapezoid are two consecutive … · 2018-07-05 · Holt McDougal Geometry 6-6 Properties of Kites and Trapezoids A trapezoid is a quadrilateral with

A trapezoid base legs Base of a trapezoid are two consecutive … · 2018-07-05 · Holt McDougal Geometry 6-6 Properties of Kites and Trapezoids A trapezoid is a quadrilateral with

Look at website on slide 5 for review on deriving area of a circle formula Mean girls clip: the limit does not exist .

Look at website on slide 5 for review on deriving area of a circle formula Mean girls clip: the limit does not exist .

Find the area of trapezoids. Trapezoid Base of a trapezoid Height of a trapezoid.

Find the area of trapezoids. Trapezoid Base of a trapezoid Height of a trapezoid.

Attachments Area of a Trapezoid How Does the Formula Work

Attachments Area of a Trapezoid How Does the Formula Work

6-6 Trapezoids and Kites. Trapezoid: a quadrilateral with exactly one pair of parallel sides Isosceles Trapezoid: a trapezoid with legs that are congruent.

6-6 Trapezoids and Kites. Trapezoid: a quadrilateral with exactly one pair of parallel sides Isosceles Trapezoid: a trapezoid with legs that are congruent.

Trapezoid Classroom Problem

Trapezoid Classroom Problem

GENERALIZING THE BLACK-SCHOLES FORMULA TO …valdo/papers/multivariate.pdf · 2006. 11. 29. · Deriving approximate formulas in closed form for such options with multivariate payoffs

GENERALIZING THE BLACK-SCHOLES FORMULA TO …valdo/papers/multivariate.pdf · 2006. 11. 29. · Deriving approximate formulas in closed form for such options with multivariate payoffs

10.1 Area of a trapezoid

10.1 Area of a trapezoid

Introduction The formula for finding the area of a trapezoid, is a formula because it involves two or more variables that have specific and special relationships.

Introduction The formula for finding the area of a trapezoid, is a formula because it involves two or more variables that have specific and special relationships.

Scanned with CamScanner · A(triangle) = —L h) Area of a Trapezoid: 1) See if you can draw one segment in each trapezoid that splits the trapezoid into two triangles. Note that

Scanned with CamScanner · A(triangle) = —L h) Area of a Trapezoid: 1) See if you can draw one segment in each trapezoid that splits the trapezoid into two triangles. Note that

MSA REVIEW. What is the formula used to find the area of a trapezoid?

MSA REVIEW. What is the formula used to find the area of a trapezoid?

Deriving the Quadratic Formula

Deriving the Quadratic Formula

Deriving the Formula for Volume of a Triangular Prism

Deriving the Formula for Volume of a Triangular Prism

Quadrilaterals. quadrilateral trapezoid parallelogram.

Quadrilaterals. quadrilateral trapezoid parallelogram.

A Data Complexity Formula for Deriving Time-to-Build ...

A Data Complexity Formula for Deriving Time-to-Build ...

Conic Sections Ellipse The Sequal. Deriving the Formula Consider P at (0, b) Isosceles triangle Legs = a And a a.

Conic Sections Ellipse The Sequal. Deriving the Formula Consider P at (0, b) Isosceles triangle Legs = a And a a.

DIFFERENTIATION RULES - University of Alaska systemrfrith.uaa.alaska.edu/Calculus/Chapter3/Chap3_Sec10.pdf · For instance, in deriving a formula for the period of a pendulum, physics

DIFFERENTIATION RULES - University of Alaska systemrfrith.uaa.alaska.edu/Calculus/Chapter3/Chap3_Sec10.pdf · For instance, in deriving a formula for the period of a pendulum, physics

DERIVING THE FORMULA FOR THE AREA OF A SECTOR Adapted from Walch Education.

DERIVING THE FORMULA FOR THE AREA OF A SECTOR Adapted from Walch Education.

Trapezoid Classroom Problem - University ofscimath.unl.edu/nebraskamath/newsletters/extras/Trapezoid Classroo… · Trapezoid Classroom Problem ... lot of space in the classroom and

Trapezoid Classroom Problem - University ofscimath.unl.edu/nebraskamath/newsletters/extras/Trapezoid Classroo… · Trapezoid Classroom Problem ... lot of space in the classroom and

10.1 Areas of Triangles and Parallelogramsmrsespositomath.weebly.com/.../10.1_notes_key.pdf · 10.1 10.1 – Areas of Triangles and Parallelograms Discovery . Deriving the Formula

10.1 Areas of Triangles and Parallelogramsmrsespositomath.weebly.com/.../10.1_notes_key.pdf · 10.1 10.1 – Areas of Triangles and Parallelograms Discovery . Deriving the Formula