Download presentation

Presentation is loading. Please wait.

Published byMaya Reese Modified over 2 years ago

1

2
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 MAP 2 D Quarter 3 Instructional Strategies Grade 6

3
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 MAP 2 D Chapters 8 and 9 Geometry Grade 6

4
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Adjacent and Vertical Angles Vertical Angles : angles that are opposite of one another. 1 and 2 are adjacent angles. Adjacent Angles : angles that are next to each other. 1 and 3 are vertical angles.

5
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Vertical Angles Vertical angles are the angles opposite each other when 2 lines cross. Vertical angles are congruent. a°a° b°b° a = b

6
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Vertical Angles Vertical angles are the angles opposite each other when 2 lines cross. Vertical angles are congruent. c°c° d°d° c = d

7
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Adjacent Angles Adjacent means next to. Adjacent angles are next to each other, sharing one side.

8
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Complementary Angles Complementary angles add up to 90°.

9
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Supplementary Angles Supplementary angles add up to 180°.

10
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Triangle Sum Property For any triangle, the sum of the measures of the interior angles is always 180º

11
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 m 1 + m 2 + m 3 = 180º 1. Write the equation: 2. Fill in the angle measures 3. Solve the equation for the missing value. 73º xºxº m 1 + m 2 + m 3 = 180º 90º 73ºx 163º + x = 180º 163º+x –163º= 180º–163º x = 17º Solve for a Missing Angle in a Triangle

12
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 AREA of a circle Area = r Area is the space inside the circle. r = radius

13
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Circumference of a Circle C = d 3.14 Circumference is the distance around a circle or sphere. d = diameter

14
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Leaving Answers in Terms of Pi Instead of multiplying by 3.14, leave the π symbol. Like a variable, it should appear after a coefficient. 8 C = πd C = π 2r C = π 2 8 C = 16π A = πr 2 A = π 8 2 A = π 64 A = 64π

15
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Estimating with Pi π … JUST USE 3 8 C = πd C = π 2r C = π 2 8 C = 16π A = πr 2 A = π 8 2 A = π 64 A = 64π C 16 3 C 48 A 64 3 A 192

16
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Area vs. Volume Volume is the amount of space inside a prism. It is measured using cubic units. Remember, area is the space inside a flat figure. It is measured using square units.

17
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Finding The Volume Any Prism V olume of a prism = Area of one B ase h eight V = B h height Area of the Base

18
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Volume of a Rectangular Prism Volume = area of the Base xheight V =Bh h h

19
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Find the Volume of a Rectangular Prism Step 1: Use the formula for the volume of a prism Step 4: Simplify Step 2: Identify B and h. Step 3: Substitute 24 for B, and 11 for h. Remember B is the area of the base. In this case, the area of the rectangle!! 4 m 6 m 11 m Area of a rectangle:

20
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Volume of a Triangular Prism Volume = area of the Base xheight V =Bh h h h b

21
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Find the Volume of a Triangular Prism Step 1: Use the formula for the volume of a prism Step 4: Simplify Step 2: Identify B and h. Step 3: Substitute 35 for B, and 50 for h. Remember B is the area of the base. In this case, the area of the triangle!! Area of a triangle:

22
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Volume of a Cylinder Volume = area of the Base xheight V =Bh h h r

23
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Find the Volume of a Cylinder Step 1: Use the formula for the volume of a cylinder Step 4: Simplify Step 2: Identify B and h. Step 3: Substitute 25π for B, and 12 for h. Remember B is the area of the base. In this case, the area of the circle!! Area of a circle: 12 mm 5 mm

24
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Find the Area of a Shaded Region Think of putting wallpaper on a wall… With a window Find the area of the wall And subtract out the window l w 13 9 l w =

25
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Perimeter and Area of Rectangles

26
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 The FORMULA for finding the area of a triangle is because a triangle is half of a rectangle. Area of a rectangle is bh. 5 in. 4 in. Area of a Triangle

27
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 MAP 2 D Chapters 10 and 11 Probability and Statistics Grade 6

28
Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 6 Probability of an Event = 1 2 P(Y) The probability of an event equals: (yellow) yellow blocks blocks in the bag

29
Representing Outcomes You can use a tree diagram, a list, or a table to list the outcomes of compound events. What are all the possible outcomes when 2 dice are rolled? 1 st Die2 nd Die Outcome , 1 1, 2 1, 3 1, 4 1, 5 1, 6 2, 1 2, 2 2, 3 2, 4 2, 5 2, 6 3, 1 3, 2 3, 3 3, 4 3, 5 3, 6 4, 1 4, 2 4, 3 4, 4 4, 5 4, 6 5, 1 5, 2 5, 3 5, 4 5, 5 5, 6 6, 1 6, 2 6, 3 6, 4 6, 5 6, 6 36 Outcomes

30
Representing Outcomes You can use a tree diagram, a list, or a table to list the outcomes of compound events. What are all the possible outcomes when 2 dice are rolled? Outcomes (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) 36 Outcomes

31
Representing Outcomes You can use a tree diagram, a list, or a table to list the outcomes of compound events. What are all the possible outcomes when 2 dice are rolled? Outcomes (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Similar presentations

© 2016 SlidePlayer.com Inc.

All rights reserved.

Ads by Google