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S1 (1.1) L3 Angles.notebook November 29, 2017 'DLO\ 3UDFWLFH Q1. Round 81.55 to 1 decimal place Q2. 32.144 x 50 Q3. 67.54 - 0.388 Q4. What type of angle is an angle of 171 0 ? Q5. 248 ÷ 400 Today we will be marking the homework.

S1 (1.1) L3 Angles.notebook · S1 (1.1) L3 Angles.notebook November 29, 2017 Angles in Polygons A polygon is a closed 2D shape with 5 or more straight sides. A regular polygon has

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Page 1: S1 (1.1) L3 Angles.notebook · S1 (1.1) L3 Angles.notebook November 29, 2017 Angles in Polygons A polygon is a closed 2D shape with 5 or more straight sides. A regular polygon has

S1 (1.1) L3 Angles.notebook November 29, 2017

Daily Practice 6.11.2017Q1. Round 81.55 to 1 decimal place

Q2. 32.144 x 50

Q3. 67.54 - 0.388

Q4. What type of angle is an angle of 1710?

Q5. 248 ÷ 400

Today we will be marking the homework.

Page 2: S1 (1.1) L3 Angles.notebook · S1 (1.1) L3 Angles.notebook November 29, 2017 Angles in Polygons A polygon is a closed 2D shape with 5 or more straight sides. A regular polygon has

S1 (1.1) L3 Angles.notebook November 29, 2017

AnglesTypes of angles:

Daily Practice 7.11.2017Q1) Round 234.25 to 1 decimal place

Q2) ‐15 ‐ (‐4)

Q3) 45.6 x 70

Q4) 0.002 x 0.6 Q5) 0.63 ÷ 0.07

Complete if finished

10

6

8 2

Today we will be learning how to find missing angles.

Complementary Angles

Finding missing angles examples:

1. 2. 64oao

bobo

These are angles that add together to get 900

Revision of Angles

Page 3: S1 (1.1) L3 Angles.notebook · S1 (1.1) L3 Angles.notebook November 29, 2017 Angles in Polygons A polygon is a closed 2D shape with 5 or more straight sides. A regular polygon has

S1 (1.1) L3 Angles.notebook November 29, 2017

Supplementary Angles

Finding missing angles examples:

1. 2. 71obo

91o

58o

co

These are angles that add together to get 1800

Revision of Angles

Q1. Find 25% of 7000

Q2. Calculate the size of x

Q3. How far does Ben drive if he drives at a speed of 100kmph for

1 hour and 45 minutes

Q4. Simplify the ratio 14:21

Q5. What number does P represent if 3 x P ‐ 1 = 11 ?

310x

Daily Practice 9.11.2017

Today we will be continuing to learn how to find missing angles.

Angles that make a circleFinding missing angles examples:

1. 2. 3.

85o54o

90o68odo

86o118oco

eoeoeo eo

eoeo

Page 4: S1 (1.1) L3 Angles.notebook · S1 (1.1) L3 Angles.notebook November 29, 2017 Angles in Polygons A polygon is a closed 2D shape with 5 or more straight sides. A regular polygon has

S1 (1.1) L3 Angles.notebook November 29, 2017

Revision of Angles Revision of Angles

Drawing and labelling angles

1. Draw the angle ABC = 1350

2. Draw the angle PQR = 430

0 180

10 170

20160

30

15040

14050

13060

120

70

110

80

100

90

90

100

80

110

70

120

60

130

50

140

40

150

30

16020

17010

1800

Daily Practice 13.11.2017

Q1. Round 183.255 to 1 decimal place

Q2. What type of angle is an angle of 2170 ?

Q3. Solve x - 1 = 9

Q4. Find 17% of 900

Q5. Find 5/6 of 330

Today we will be learning about alternate and corresponding angles.

Parallel and Perpendicular lines

Parallel lines are lines that are always the same distance apart and never meet.

Perpendicular lines are lines that meet at right angles to each other.

E.g. The wall is perpendicular

to the floor

Page 5: S1 (1.1) L3 Angles.notebook · S1 (1.1) L3 Angles.notebook November 29, 2017 Angles in Polygons A polygon is a closed 2D shape with 5 or more straight sides. A regular polygon has

S1 (1.1) L3 Angles.notebook November 29, 2017

Alternate and Corresponding AnglesAngles that are alternating are equal (Z- angles)

Angles that are corresponding are also equal (F- angles)

.

Alternate and Corresponding Angles

Example:

Calculate the missing angles

1530

Daily Practice 14.11.2017

Q1. What type of angle is 710 ?

Q2. 3 - 4 x 2

Q3. Round 713.2284 to 2 decimal places

Q4. Write 0.6 as a fraction

Q5. 0.8 x 0.7

Today we will be continuing to learn about F and Z angles.

Alternate and Corresponding AnglesCopy these diagrams and fill in the missing angles for each

480

1300

630

400

1050

Page 6: S1 (1.1) L3 Angles.notebook · S1 (1.1) L3 Angles.notebook November 29, 2017 Angles in Polygons A polygon is a closed 2D shape with 5 or more straight sides. A regular polygon has

S1 (1.1) L3 Angles.notebook November 29, 2017

Today we will be learning how to find missing angles in triangles.

Missing angles in trianglesThe angles in a triangle add together to make 1800

Examples: Calculate the missing angles

1. 2. 3.

1130

270

? b0

850430

c0

Daily Practice 16.11.2017

Q1. Round 89.66 to the nearest unit

Q2. -3 + 15

Q3. 2.4 x 300

Q4. 12 + (3 x 3)

Q5. What type of angle is 240 ?

Today we will be learning about angles in quadrilaterals.

Page 7: S1 (1.1) L3 Angles.notebook · S1 (1.1) L3 Angles.notebook November 29, 2017 Angles in Polygons A polygon is a closed 2D shape with 5 or more straight sides. A regular polygon has

S1 (1.1) L3 Angles.notebook November 29, 2017Angles in quadrilaterals

Daily Practice 20.11.2017

Q1. Round 1895.663 to 1 decimal place

Q2. -15 - (-3)

Q3. -4 x (-7) x 2

Q4. Fill in the missing numbers in this sequence -10, ____, -2, 2, 6, 10, _____

Q5. Given the numbers 1, 3, 4 and 5 what is the largest number you can make that is a multiple of 4?

Today we will be learning about angles in polygons.

Daily Practice 21.11.2017

Q1. Write the next three numbers in this sequence -12, -7, -2, ...

Q2. 1/2 of 15 + 7

Q3. 0.8 x 0.004

Q4. Find 25% of 60 Q5. 30 - (-6)

Today we will be continuing to learn how to find angles in polygons.

Page 8: S1 (1.1) L3 Angles.notebook · S1 (1.1) L3 Angles.notebook November 29, 2017 Angles in Polygons A polygon is a closed 2D shape with 5 or more straight sides. A regular polygon has

S1 (1.1) L3 Angles.notebook November 29, 2017

Angles in Polygons

A polygon is a closed 2D shape with 5 or more straight sides.

A regular polygon has all equal sides.

External angleInternal angle

Example: Calculate the interior and exterior angles of this pentagon

Daily Practice 23.11.2017

Q1. 10% of 60 + 15

Q2. 9 - 9 x 8

Q3. -12 - (-3)

Q4. 0.4 ÷ 0.02

Given the numbers 1, 2, 4 and 5 what is the largest number you can make that is a multiple of 4?

Q5.

Angles in Polygons

Calculate the internal and external angles for each of these polygons

6 7 8

9 10 12

Today we will be learning how to measure angles in a clockface.

Angles in a clock face

12

34

56789

10

1211

Angles in a clock face

12

34

56789

10

1211Example:

Calculate the size of the smaller

angle between the hour and

minute hands when

the time is 4:00am/pm?

Page 9: S1 (1.1) L3 Angles.notebook · S1 (1.1) L3 Angles.notebook November 29, 2017 Angles in Polygons A polygon is a closed 2D shape with 5 or more straight sides. A regular polygon has

S1 (1.1) L3 Angles.notebook November 29, 2017

Angles in a clock face

12

34

56789

10

1211Example 2:

Calculate the size of the smaller

angle between the hour and

minute hands when

the time is 7.30am/pm?

Daily Practice 27.11.2017

20 Questions Mental Maths Today we will be completing a check-up on angles