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Page 1: Mr. Northcutt's Math Classes Class Presentation · Mr. Northcutt's Math Classes Class Presentation. Math 1. ... 4 6. Negative Positive "is ... Perimeter, Area and Circumference

September 17, 2009 (12)

Mr. Northcutt’s Math Classes1

Mr. Northcutt's Math ClassesClass Presentation

Math 1

9/16/2009

Math 2Transition Math

Page 2: Mr. Northcutt's Math Classes Class Presentation · Mr. Northcutt's Math Classes Class Presentation. Math 1. ... 4 6. Negative Positive "is ... Perimeter, Area and Circumference

Transition Math – Daily Summary Announcements QUIZ: Section 1-1 thru 1-5 Wednesday.

Topic: Quiz Review Topic: Negative Numbers Number Line Ordering Numbers Absolute Value

ASSIGNMENT: EX 1-4: 1-27 ODD, 35-47 ODD, 52, 55, 62-65

9/16/2009Mr. Northcutt’s Math Classes2

Page 3: Mr. Northcutt's Math Classes Class Presentation · Mr. Northcutt's Math Classes Class Presentation. Math 1. ... 4 6. Negative Positive "is ... Perimeter, Area and Circumference

Number Line & Ordering Numbers Graphing on a Number Line

Graph 0, 2 and -6. Order the numbers from least to greatest and use

INEQUALITY SYMBOLS to show order.

9/16/2009Mr. Northcutt’s Math Classes3

0 2 4 6-2-4-6

Negative Positive

"is less than""is less than or equal to"

<≤

"is greater than""is greater than or equal to"

>≥

Is 0 positive or negative?

Page 4: Mr. Northcutt's Math Classes Class Presentation · Mr. Northcutt's Math Classes Class Presentation. Math 1. ... 4 6. Negative Positive "is ... Perimeter, Area and Circumference

ABSOLUTE ValueOPPOSITES: Numbers that are the same distance from 0 on the Number Line. EX: -4 and +4 are opposites.

ABSOLUTE VALUE: A number’s distance from zero on the number line.

9/16/2009Mr. Northcutt’s Math Classes4

0 2 4 6-2-4-6

4 Units 4 Units

4 4 " ..."Absolute Value of= − =symbols words

Page 5: Mr. Northcutt's Math Classes Class Presentation · Mr. Northcutt's Math Classes Class Presentation. Math 1. ... 4 6. Negative Positive "is ... Perimeter, Area and Circumference

ExamplesWhat is ABSOLUTE VALUE of…

COMPARE using <, = or >…

9/16/2009Mr. Northcutt’s Math Classes5

0 8 15− 1.25−

2 6 2 6− − 2 2−

Page 6: Mr. Northcutt's Math Classes Class Presentation · Mr. Northcutt's Math Classes Class Presentation. Math 1. ... 4 6. Negative Positive "is ... Perimeter, Area and Circumference

Math 1 – Daily Summary Announcements QUIZ: Sections 1.1 thru 1.4 on Monday

Topic: Subtracting Real Numbers (ℝ) Number Lines Tiles Rules

ASSIGNMENT: EX 1-5 (D1): 1-19 ODD, 52, 54, 68, 70

9/16/2009Mr. Northcutt’s Math Classes6

Page 7: Mr. Northcutt's Math Classes Class Presentation · Mr. Northcutt's Math Classes Class Presentation. Math 1. ... 4 6. Negative Positive "is ... Perimeter, Area and Circumference

HW Solutions EX 1-4 (D2): 22, 38, 40, 42, 56-59, 77, 78, 84, 94, 104

Go to PH Algebra Solutions...

9/16/2009Mr. Northcutt’s Math Classes7

Page 8: Mr. Northcutt's Math Classes Class Presentation · Mr. Northcutt's Math Classes Class Presentation. Math 1. ... 4 6. Negative Positive "is ... Perimeter, Area and Circumference

Number Lines

9/16/2009Mr. Northcutt’s Math Classes8

0 2 4 6-2-4-6

4 7−

Page 9: Mr. Northcutt's Math Classes Class Presentation · Mr. Northcutt's Math Classes Class Presentation. Math 1. ... 4 6. Negative Positive "is ... Perimeter, Area and Circumference

Algebra Tiles Distribute Algebra Tiles…

9/16/2009Mr. Northcutt’s Math Classes9

3 ( 4)− −

2 ( 3)− − −

Page 10: Mr. Northcutt's Math Classes Class Presentation · Mr. Northcutt's Math Classes Class Presentation. Math 1. ... 4 6. Negative Positive "is ... Perimeter, Area and Circumference

Subtraction Rules To subtract a number, add its opposite.

9/16/2009Mr. Northcutt’s Math Classes10

3 53 ( 5)

2

−= + −= −

3 ( 5)3 58

− −= +=

3 114 12

3 114 129 11

12 12201253

− −

= +

= +

=

=

Page 11: Mr. Northcutt's Math Classes Class Presentation · Mr. Northcutt's Math Classes Class Presentation. Math 1. ... 4 6. Negative Positive "is ... Perimeter, Area and Circumference

Math 2 – Daily Summary Announcements TEST: Chapter 1 on Tuesday!

Topic: Perimeter, Area and Circumference Square, Rectangle, Triangle & Circle

ASSIGNMENT: EX 1.7: 3, 5, 7, 9, 10d, 12, 18, 19, 21, 23, 27, 29, 32,

34, 42, 49, 50, 51

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Page 12: Mr. Northcutt's Math Classes Class Presentation · Mr. Northcutt's Math Classes Class Presentation. Math 1. ... 4 6. Negative Positive "is ... Perimeter, Area and Circumference

EX 1.6: 1e, 2e, 4, 7, 12, 13, 15, 18-23, 25d, 29, 32, 33-35, 37, 40de, 43, 47, 49, 53, 54

9/16/2009Mr. Northcutt’s Math Classes12

1e. Polygon with n sides2e. Yes Convex; No Concave4e. No; Not a segment7.12. ;13. ;15. 818.19.20.21.22.

CQuadrilateral EquilateralQuadrilateral Equiangularin

AlwaysSometimesAlwaysNeverAlways

23.25 . See sketch29. 132. Convex

,33. ,34. ,

35. ,37.

49. 1,200,000 53.

40

15

. Discuss in class43. 8 47. 63,360

Neverd

Octagon RegularTriangle RegularQuadrilateralEquiangularOctagon RegularC

54. 13.9

Page 13: Mr. Northcutt's Math Classes Class Presentation · Mr. Northcutt's Math Classes Class Presentation. Math 1. ... 4 6. Negative Positive "is ... Perimeter, Area and Circumference

Perimeter P, Area A, Circumference C

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Square with side length s Rectangle with length l and width w

Triangle with side lengths a, b and c, base b and height h

Circle with diameter d and radius r

2

4P sA s=

=

2 2P l wA lw= +=

12

P a b c

A bh

= + +

= 2

2C d rA r

π π

π

= =

=

Page 14: Mr. Northcutt's Math Classes Class Presentation · Mr. Northcutt's Math Classes Class Presentation. Math 1. ... 4 6. Negative Positive "is ... Perimeter, Area and Circumference

Finding Perimeter & AreaFind the perimeter and area of a basketball court.

9/16/2009Mr. Northcutt’s Math Classes14

50 ft

84 ft

Page 15: Mr. Northcutt's Math Classes Class Presentation · Mr. Northcutt's Math Classes Class Presentation. Math 1. ... 4 6. Negative Positive "is ... Perimeter, Area and Circumference

Example (Multi-Step Problem)Find the perimeter and area of Triangle ABC with vertices A(1,2), B(4,6) and C(5,2).

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Page 16: Mr. Northcutt's Math Classes Class Presentation · Mr. Northcutt's Math Classes Class Presentation. Math 1. ... 4 6. Negative Positive "is ... Perimeter, Area and Circumference

Example: Find Unknown LengthThe area of a triangle is 64 m2, and its height is 16 meters. Find the length of its base.

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