Thursday, 27 April 2017 Angles Starter: Multiplications

Thursday, 27 April 2017 Angles Objectives: Be able to name and measure angles. Level 3a/4c Outcomes Must: Measure and draw angles Should: Measure angles Could: Draw angles

Measuring angles An angle is a measure of turn and is usually measured in degrees. A full turn measures 360°. 360° Links: S1 Line and angles – calculating angles. S6 Construction and loci – drawing angles.

Measuring angles An angle is a measure of turn and is usually measured in degrees. A quarter turn measures 90°. It is called a right angle. 90° We label a right angle with a small square. Links: S1 Line and angles – calculating angles. S6 Construction and loci – drawing angles.

Measuring angles An angle is a measure of turn and is usually measured in degrees. A half turn measures 180°. This is a straight line. 180° Links: S1 Line and angles – calculating angles. S6 Construction and loci – drawing angles.

Measuring angles An angle is a measure of turn and is usually measured in degrees. A three-quarter turn measures 270°. 270° Links: S1 Line and angles – calculating angles. S6 Construction and loci – drawing angles.

Acute, obtuse and reflex angles All angles are acute, obtuse or reflex. An acute angle is between 0º and 90º. An obtuse angle is between 90º and 180º. An reflex angle is between 180º and 360º. Pupils should be able to classify angles according to whether they are acute, right angle, obtuse, straight lines or reflex.

Using a protractor We measure angles with a protractor. Discuss the two scales on the protractor. The outside scale goes from 0° to 180° and the inner scale goes from 180° to 0°. Notice that the protractor has two scales. Before you measure an angle decide whether it is acute or obtuse.

Measuring and drawing angles Measure the angle using a protractor and state whether its obtuse, acute or reflex. Acute angle Obtuse angle 60 135 Obtuse angle Acute angle 40 110

Measuring and drawing angles Use a protractor to draw out the angles. (1) First draw a straight line (a) 65 (2)Line up the protractor (3) Put a mark at 65 Acute angle (4) Connect the line 65 (a) 22 (1) First draw a straight line (2)Line up the protractor (3) Put a mark at 65 Acute angle 22 (4) Connect the line

Measuring and drawing angles (1) First draw a straight line (2)Line up the protractor (a) 124 (3) Put a mark at 124 Obtuse angle (4) Connect the line 124 (a) 235 (1) First draw a straight line (2)Line up the protractor 235 (3) Put a mark at 235 (4) Connect the line Reflex angle

Drawing Pie charts Thursday, 27 April 2017 Starter Divisions: You have 10 minutes. Write out the questions.

Drawing Pie charts Thursday, 27 April 2017 Objectives: Be able to draw pie charts Level 4 Outcomes Must: Draw pie charts with sections split into 10’s Should: Draw pie charts Could: Comment on the mode in your pie chart.

Draw a pie chart using a protractor (1) Draw a dot in the middle of your page (2) Line the dot with cross on your protractor and draw around it to make a circle. (3) Draw a line from dot to the top of the circle. Green Blue 50 70 White Purple 140 100

Draw a pie chart using a protractor The pie chart shows different ways pupils travel to school. (1) Draw a circle (2) Draw a line from the centre to the top of the circle Train Walk 60 135 Bus 120 Car 45

Draw a pie chart using a protractor Fav Sport Angle Draw a pie chart using a protractor Football 150 (1) Draw a dot in the middle of your page Tennis 140 (2) Line the dot with cross on your protractor and draw around it to make a circle. Hockey 60 (3) Draw a line from dot to the top of the circle. Netball 10 Netball Hockey 60 Football Football has the biggest section 150 Most people liked football Tennis The mode is football 140

Pie Charts Put this information into a pie chart.

96º 84º × 360º 36º 72º 72º 360º No of people Newspaper 3 × 360º × 360º Daily Express The Sun 3 The Times 7 Daily Mirror 8 The Guardian Working Angle × 360º 8 30 96º × 360º 7 30 84º × 360º 3 30 36º × 360º 6 30 72º × 360º 6 30 72º Total 30 360º Daily Express The Guardian 72º 96º 72º 84º The Sun 36º Daily Mirror The Times

Pie Charts Footballer Number Owen 40 Giggs 10 Ferdinand 30 Fowler Beckham 60 Calculation angle × 360º 40 180 Beckham Owen 80º × 360º 10 180 20º 80º 120º 20º Giggs × 360º 30 180 60º 60º 80º × 360º 40 180 Ferd 80º × 360º 60 180 Fowler 120º 180