WARM-UP: Find the missing measurement in each triangle. 1. 2. 3. 4. 6 10 x 60 ° 10 x 54 ° 10 x x°x° 6 x = 8 x = 17.0 x = 59 °

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Presentation transcript:

WARM-UP: Find the missing measurement in each triangle x 60 ° 10 x 54 ° 10 x x°x° 6 x = 8 x = 17.0 x = 59 °

CHANGE IN HW POLICY No work = no credit (unless vocab or problems where work not needed) Any homework turned in on test day is worth half credit

LESSON 10-1 I can find perimeters and areas of triangles and parallelograms I can find perimeters and areas of triangles and parallelograms on the coordinate plane

A = 1 2 bh A = bh b h b h Sum of all the sides

A = 1 2 bh A = 1 2 (24)(28) A = 336 m 2

A = 1 2 (33)(20) = 330 A = 1 2 (21)(16) = 168 Total = = 498 un 2

= 672 un 2

A = 1 2 bh 1 2 (b)(8) 72 = 72 = 4b 18 in = b

15 m 9 m 12 m A = 1 2 (12)(9) = 54 m 2

WARM-UP: Find the area of each triangle ° ° °

WARM-UP: Find the exact area of each triangle ° ° A = 1 2 bh = 1 2 = 100 un 2 A = 1 2 bh = 1 2 =

A = bh A = 30(18) A = 540 m 2

A = bh A = 18(16) A = 288 ft 2

h 60° 24 h 60° sin 60 = h 24 h = A = bh A = 24(20.78) A = in 2

32 22 P = = 108 in h cos 30 = h 22 h = A = 32(19.05) = in 2

6 3 A = bh A = 6(3) A = 18 un 2

b h = 20 un 2

10-1 worksheet ASSIGNMENT

WARM-UP: Find the area of each figure A = 360 un 2 A = 82 un 2

LESSON 10-2 I can find perimeters and areas of kites, trapezoids and rhombi I can determine whether points on a coordinate plane define a kite, trapezoid or rhombus

A = 1 / 2 h(b 1 +b 2 ) h b1b1 b2b2 A = 1 / 2 d 1 d 2 d1d1 d2d2

A = 1 / 2 h(b 1 +b 2 ) A = ½(309)( ) h b1b1 A = 110,622 mi 2 b2b2

A = 1 / 2 h(b 1 +b 2 ) A = 1 / 2 (15)(40+18) A = 1 / 2 (15)(58) A = 435 m 2

M N P R A = 1 2 d1d2d1d2 = 1 2 = 1 2 = 15 un 2

or 20.4 un 2

b2b2 12 in 6 in A = 1 / 2 h(b 1 +b 2 ) 144 = 1 / 2 12(6+b 2 ) 144 = 6(6+b 2 ) = 6+b in = b 2

A = 1 / A = 384 m d 1 = 24 d 2 = 32

A = 1 / A = 21 un 2 P = 18.8 un

10-2 worksheet ASSIGNMENT

WARM-UP x° Find x in each figure. (Assume all angles in each figure are congruent x° x° 90° 72° 60°

LESSON 10-3 I can find areas of regular polygons

A = 1 2 Pa a P = perimeter

12 6 a 36° tan 36 = 6 a a = 8.26 a A = 1 2 Pa = 1 2 (60)(8.26) = cm 2

12 6 a 30° tan 30 = 6 a a = a A = 1 2 Pa = 1 2 (72)(10.39) = un 2

7 h 14 h = h A = 1 2 bh = 1 2 (14)(12.12) = m 2

8.08 x 30° tan 30 = x 7 x = A = 1 2 Pa = 1 2 (48.48)(7) = un 2

10-3 worksheet ASSIGNMENT

LESSON 10-4 I can find the area of circles I can find the area of a sector of a circle

A = π r 2

20Square – circle bh – π r 2 40(40) – π (20) – = m 2

Circle – Square – bh π r 2 24 π (12) – 288 = m 2

8 4 Big circle – 2( small circles) π (8) 2 – 2 π (4) – = m 2

pair of radii arc area of the circle A = θ 360 π r 2

A = θ 360 π r 2 A = π (9) 2 = in 2

A = π (12) 2 = cm 2

Sector – triangle π (15) 2 – 1 2 (15)(15) – = un 2

Sector + triangle π (8) (8)(8) = un 2

10-4 worksheet Quiz tomorrow! ASSIGNMENT

WARM-UP: Find the area of each figure A = 360 un 2 A = 82 un 2

LESSON 10-5 I can find the area of circles I can find the area of a sector of a circle

34(15) = 510 Half circle 7.5 (0.5) π (7.5) 2 = Total = ft 2

22(22) = (20) 2 = 220 Total = 704 cm 2

7(4) 2 = 14 7(2) 2 = 7 Total = 21 un 2

Total = 40 un 2

Big rectangle – small rectangle 32(16) 512 – 12(5) – 60 = 452 cm 2

3(3) = 9 12(2) = (3) = 18 Total = = 51 ft 2

10-5 worksheet ASSIGNMENT

LESSON 10-6 I can use similarity and proportions to find perimeters and areas of similar figures

shape size a:ba 2 :b 2

a:b 9:6 9 2 : : x = 81x = 2160 x = in 2

a:b 12: : : x 90 = 324x = x = 40 cm 2

50 cm 2 98 cm 2 a 2 :b 2 50:98 a:b

2.5 2 (13) = bushels

a 2 :b :135 a:b

$2.50 x = 9x = $62.50 x = $6.94 Price is determined by in 2 (area)

10-6 worksheet ASSIGNMENT

WHAT’S THE AREA? Work with your group to come up with some strategies Decide on one strategy that everyone thinks will work Use any or all of the provided tools Calculate the area using your chosen tools and strategy!