Angles
Download
1 / 47

angles - PowerPoint PPT Presentation


  • 204 Views
  • Updated On :

Angles. MTH 3-17a. Revising Basic Angles. Naming Angles. Calculating Missing angles. Angles in a Triangle. www.mathsrevision.com. Corresponding Angles. Alternate Angles. Starter Questions. Q1. Convert to the 24 hour clock. (b) 6:50 am. (a) 7:25 pm. Q2. Write down the type of angle

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'angles' - paul2


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Slide1 l.jpg

Angles

MTH 3-17a

Revising Basic Angles

Naming Angles

Calculating Missing angles

Angles in a Triangle

www.mathsrevision.com

Corresponding Angles

Alternate Angles

Created by Mr.Lafferty Math Dept


Slide2 l.jpg

Starter Questions

Q1. Convert to the 24 hour clock.

(b) 6:50 am

(a) 7:25 pm

Q2. Write down the type of angle

that is less than 90 deg.

www.mathsrevision.com

Q3. Calculate 2.34 + 4.7 + 0.12

Q4. Round the following to nearest 1000.

(a) 12,501

(b) 369,765

Created by Mr.Lafferty Math Dept


Slide3 l.jpg

Type of Angles

MTH 3-17a

Learning Intention

Success Criteria

  • To be able to identify acute, right-angle, obtuse, straight line and reflex angles.

  • To revise Type of Angles from Level 2.

www.mathsrevision.com

Created by Mr.Lafferty Math Dept


Slide4 l.jpg

Vertical

Horizontal

Type of Angles

MTH 3-17a

Acute

less than 90o

Obtuse

Between 90o – 180o

Right Angle

exactly 90o

www.mathsrevision.com

Straight Line Angle

exactly 180o

reflex

over 180o less than 360o

Created by Mr.Lafferty Math Dept


Slide5 l.jpg

Type of Angles

MTH 3-17a

Now try

Ch12 (page 146)

Exercise 1

www.mathsrevision.com

Created by Mr.Lafferty Math Dept


Slide6 l.jpg

Starter Questions

MTH 3-17a

Q1. Convert to the 12 hour clock.

(b) 05:40

(a) 17:15

Q2. Write down 2 numbers that add to give 8 and

multiply to give 15.

www.mathsrevision.com

Q3. Calculate 5.65 – 1.3

Q4. Round the following to nearest 100.

(a) 13,551

(b) 369,449

Created by Mr.Lafferty Math Dept


Slide7 l.jpg

Naming Angles

MTH 3-17a

Learning Intention

Success Criteria

  • Remember how to name an angle.

  • We are learning how we name angles by THREE capital letters with the angle sign.

  • Understand the difference between the type of angle and the name of an angle.

www.mathsrevision.com

Created by Mr.Lafferty Math Dept


Naming angles l.jpg
Naming Angles

MTH 3-17a

A

X

Y

B

Z

C

Type of angle is acute

Type of angle is obtuse

www.mathsrevision.com

Name of angle is ∠ ABC

Name of angle is ∠ ZYX

MIDDLE LETTER IS ALWAYS WHERE THE ANGLE IS

ALWAYS 3 CAPITAL LETTERS

Created by Mr.Lafferty Math Dept


Slide9 l.jpg

Naming Angles

MTH 3-17a

Now try

Ch12 (page 147)

Exercise 2

www.mathsrevision.com

Created by Mr.Lafferty Math Dept


Starter questions l.jpg

MTH 3-17a

Starter Questions

www.mathsrevision.com

Created by Mr.Lafferty Math Dept


Slide11 l.jpg

Find Missing Angles

MTH 3-17a

Learning Intention

Success Criteria

  • We are learning to calculate a missing angle.

  • Remember 360oin a circle.

www.mathsrevision.com

  • Find missing angle given all other angles.

Created by Mr.Lafferty Math Dept


Find missing angle l.jpg
Find Missing Angle

65o

35o

95o

120o

34o

34o

MTH 3-17a

55o

115o

DEMO

Two angles making a

right angle add up to 90o

(Complementary angles)

Two angles making a

straight line add up to 180o

(Supplementary angles)

www.mathsrevision.com

146o

145o

146o

Angles round a point

always add up to 360o

Angles opposite each other

at a cross are equal.

Created by Mr.Lafferty Math Dept


Slide13 l.jpg

Find Missing Angle

Now try

Ch12 (page 149)

Exercise 3

www.mathsrevision.com

Created by Mr.Lafferty Math Dept


Starter questions14 l.jpg

xo

75o

Starter Questions

www.mathsrevision.com

Created by Mr.Lafferty Math Dept


Sum of angles in a triangle l.jpg

MTH 3-17a

Sum of Angles in a Triangle

Learning Intention

Success Criteria

  • Remember all angles in a triangle add to 180o.

  • We are learning that all the angles in a triangle sum to 180o.

www.mathsrevision.com

  • Apply knowledge to solve problems.

Created by Mr.Lafferty Math Dept


Slide16 l.jpg

To determine the

angle sum of any Triangle

MTH 3-17a

Cut off corners 

Cut off corners 

www.mathsrevision.com

Cut off corners 

Created by Mr.Lafferty Math Dept


Slide17 l.jpg

All angles in a triangle

ALWAYS

added up to180o

Sum of angles in ANY Triangle

MTH 3-17a

DEMO

www.mathsrevision.com

180o

Created by Mr.Lafferty Math Dept


Sum of angles in a triangle18 l.jpg

38o

50o

MTH 3-17a

Sum of Angles in a Triangle

Copy out the following triangles and find the missing angles.

xo

87o

www.mathsrevision.com

xo

32o

xo

xo

Remember all the angles add up to 180o

Created by Mr.Lafferty Math Dept


Slide19 l.jpg

Sum of Angles in a Triangle

MTH 3-17a

Now try

Ch12 (page 151)

Exercise 4

starter at Q3

www.mathsrevision.com

Created by Mr.Lafferty Math Dept


Starter questions20 l.jpg
Starter Questions

Q1. Solve the equation below

Q2. Find two numbers that multiply to give 18

and subtract to give 3.

Q3. Find the average and range of the numbers below

www.mathsrevision.com

2,8,8,10

Q4. Find

Created by Mr.Lafferty Math Dept


Slide21 l.jpg

Angles

Corresponding Angles

MTH 3-17a

Learning Intention

Success Criteria

  • To understand the term corresponding angles.

  • 1 We are learning the term corresponding angles.

www.mathsrevision.com

2. To be able to apply property to solve problems.

Created by Mr.Lafferty Math Dept


Slide22 l.jpg

Angles

Alternate Angles

MTH 3-17a

DEMO

Look for

F shapes

www.mathsrevision.com

= equal angles

Created by Mr.Lafferty Math Dept


Slide23 l.jpg

Angles

Corresponding Angles

MTH 3-17a

DEMO

Which angles are equal?

www.mathsrevision.com

Created by Mr.Lafferty Math Dept


Slide24 l.jpg

Angles

Corresponding Angles

MTH 3-17a

www.mathsrevision.com

Which angles are equal?

Created by Mr.Lafferty Math Dept


Slide25 l.jpg

Angles

Corresponding Angles

MTH 3-17a

Which angles are equal to the shaded angle?

www.mathsrevision.com

Created by Mr.Lafferty Math Dept


Slide26 l.jpg

Angles

MTH 3-17a

Which angles are equal to the shaded angle?

www.mathsrevision.com

Created by Mr.Lafferty Math Dept


Slide27 l.jpg

Angles

Corresponding Angles

MTH 3-17a

look for

www.mathsrevision.com

shapes

Created by Mr.Lafferty Math Dept


Slide28 l.jpg

Angles

Corresponding Angles

MTH 3-17a

What is the value of letter x?

120

www.mathsrevision.com

120

x

Created by Mr.Lafferty Math Dept


Slide29 l.jpg

Angles

Corresponding Angles

MTH 3-17a

100

What is the value of letter a?

www.mathsrevision.com

100

a

Created by Mr.Lafferty Math Dept


Slide30 l.jpg

Angles

Corresponding Angles

MTH 3-17a

b

48

48

www.mathsrevision.com

What is the value of letter b?

Created by Mr.Lafferty Math Dept


Slide31 l.jpg

Angles

Corresponding Angles

MTH 3-17a

What is the value of letter c?

110

www.mathsrevision.com

110

c

Created by Mr.Lafferty Math Dept


Slide32 l.jpg

70

Angles

Corresponding Angles

MTH 3-17a

70

What are the values of letters a and b?

b

110

www.mathsrevision.com

a

Created by Mr.Lafferty Math Dept


Slide33 l.jpg

65

65

115

Angles

Corresponding Angles

MTH 3-17a

www.mathsrevision.com

What are the values of

the missing angles?

115

Created by Mr.Lafferty Math Dept


Slide34 l.jpg

57

Angles

Corresponding Angles

123

MTH 3-17a

57

What are the values of the missing angles?

123

www.mathsrevision.com

Created by Mr.Lafferty Math Dept


Slide35 l.jpg

Angles

Corresponding Angles

MTH 3-17a

What are the values of the missing angles?

75o

65o

40o

115o

140o

www.mathsrevision.com

65o

40o

115o

140o

Created by Mr.Lafferty Math Dept


Slide36 l.jpg

Angles

Corresponding Angles

MTH 3-17a

Now try Exercise 5 Ch12 (page 154)

www.mathsrevision.com

Created by Mr.Lafferty Math Dept


Starter questions37 l.jpg
Starter Questions

MTH 3-17a

Q1. Solve the equation below

Q2. Find two numbers that multiply to give 48

and divide to give 3.

119o

Q3. Find missing angles

www.mathsrevision.com

bo

ao

Created by Mr.Lafferty Math Dept


Slide38 l.jpg

Angles

Alternate Angles

MTH 3-17a

Learning Intention

Success Criteria

  • To understand the term alternate angles.

  • 1. We are learning the term alternate angles.

www.mathsrevision.com

2. To be able to apply property to solve problems.

Created by Mr.Lafferty Math Dept


Slide39 l.jpg

Angles

Alternate Angles

MTH 3-17a

DEMO

Look for

- Z shapes

www.mathsrevision.com

= equal angles

Created by Mr.Lafferty Math Dept


Slide40 l.jpg

Angles

Alternate Angles

MTH 3-17a

Find the value of a ?

35

www.mathsrevision.com

a

35

Created by Mr.Lafferty Math Dept


Slide41 l.jpg

Angles

Alternate Angles

MTH 3-17a

b

43

Find the value of b ?

www.mathsrevision.com

43

Created by Mr.Lafferty Math Dept


Slide42 l.jpg

Angles

Alternate Angles

MTH 3-17a

Find the value of c ?

33

www.mathsrevision.com

c

33

Created by Mr.Lafferty Math Dept


Slide43 l.jpg

Angles

Alternate Angles

MTH 3-17a

123

Find the value of d ?

www.mathsrevision.com

d

123

Created by Mr.Lafferty Math Dept


Slide44 l.jpg

Angles

Alternate Angles

MTH 3-17a

50

Find the value

a and b ?

www.mathsrevision.com

130

b

a

50

Created by Mr.Lafferty Math Dept


Slide45 l.jpg

Angles

Alternate Angles

MTH 3-17a

135

Find the value

of c and d ?

c

45

www.mathsrevision.com

45

d

Created by Mr.Lafferty Math Dept


Slide46 l.jpg

Angles

Alternate Angles

MTH 3-17a

60

c

120

Find the value

a, b and c ?

www.mathsrevision.com

60

a

b

120

Created by Mr.Lafferty Math Dept


Slide47 l.jpg

Angles

Alternate Angles

MTH 3-17a

Now try Exercise 6 Ch12 (page 157)

www.mathsrevision.com

Created by Mr.Lafferty Math Dept


ad