26/12/2018

26/12/2018 5 m 78 mm 49 mm 7.8 cm 52.6 cm 0.49 m 500 cm 780 cm 5 cm 49 cm 5.26 m 526 cm 4.9 cm 7.8 m 50 mm 526 mm Write down the date and title. STARTER: Match up pairs of lengths that are the same

26/12/2018 5 m 78 mm 49 mm 7.8 cm 52.6 cm 0.49 m 500 cm 780 cm 5 cm 49 cm 5.26 m 526 cm 4.9 cm 7.8 m 50 mm 526 mm Write down the date and title. STARTER ANSWERS: Mark them in green pen 

Write down the date and title. 26/12/2018 Write down the date and title. STARTER: Use your protractor to measure each of the angles. Glue in once finished.

Write down the date and title. 26/12/2018 Write down the date and title. STARTER: Mark your angles in green pen. Your allowed a tolerance of 3 degrees either side of your answer. 

Write down the Date and Title. 26/12/2018 Write down the Date and Title. STARTER: Write down the calculations and find the ink blot answers. +

44 9.68 Write down the date and title. STARTER: 26/12/2018 Write down the date and title. STARTER: Mark your work in green pen.put a score out of 4 in your books.  44 9.68 36.4 23.08

What type of angles are these? 26/12/2018 What type of angles are these?

Write in your books 26/12/2018 A right angle, is exactly 90°. An acute angle, is less than 90°. Write in your books An obtuse angle, is more than 90° but less than 180°. A reflex angle, is more than 180° and less than 360°. A right angle, is exactly 90°.

26/12/2018 What type of angle are they? b) a) e) Learning Check c) d)

Answers What type of angle are they? b) a) acute obtuse e) acute c) d) 26/12/2018 What type of angle are they? b) a) acute obtuse Answers e) acute c) d) reflex Right angle

Keywords – into the glossary at the back of your book. 26/12/2018 Keywords – into the glossary at the back of your book. Angle: An angle is a measure of turn. Degrees: A unit used to measure angles. Theres 360 in a full circle. Protractor: A piece of equipment which measures angles. Acute: A type of angle less than 90 degrees. Obtuse: A type of angle between 90 degrees and 180 degrees. Reflex: A type of angle above 180 degrees. Right angle: A type of angle which is 90 degrees.

Estimating Angles Game 26/12/2018 Estimating Angles Game On your boards write… 1) 2) 3) 4) 5) Down the left hand side.

26/12/2018 Estimate the Angle 1

26/12/2018 Estimate the Angle 2

26/12/2018 Estimate the Angle 3

26/12/2018 Estimate the Angle 4

26/12/2018 Estimate the Angle 5

Estimate the Angle Swap your work with your partner. 26/12/2018 Swap your work with your partner. They get the mark if they are within 10° Estimate the Angle 1) 45° 2) 85° 3) 60° 4) 110° 5) 175°

Angle Properties 360° 180° 90° 26/12/2018 Match the angle to the diagram 360° 180° 90° Quick sketch in books

Discuss with your partner how to calculate x 26/12/2018 Example Discuss with your partner how to calculate x x° 75°

26/12/2018 Example x° 75° 90° - 75° = 15°

Discuss with your partner how to calculate x 26/12/2018 Example Discuss with your partner how to calculate x x° 13° 41°

26/12/2018 Example x° 13° 41° 13° + 41° = 54° 90° - 54° = 36°

Questions 26/12/2018 1) 2) 3) 4) d c 21° 23° 52° b 23° a 11° 38° 34° 39° 18° 41° 6° 26° 21° 11° 9°

Answers 26/12/2018 1) 2) 3) 4) c = 31° d = 33° b = 56° a = 38° d c 21° 23° 52° b 23° a 11° 38° 34° 11° b = 22° e = 54° a = 78° c = 109° d = 11° 52° 18° 41° 39° 6° f = 119° g = 64° h = 94° i = 146° j = 124° 26° 21° 11° 9°

Example Think about what angle property we can use? 26/12/2018 Example Discuss with your partner how to calculate x 24° 75° Think about what angle property we can use? x° 111° What would we need to do if it was 4x instead of x?

Example 111° + 75° + 24° = 210° 360° – 210° = 150° 26/12/2018 24° 75°

Angles around a point add up to 360° 26/12/2018 Example Angle property!! Angles around a point add up to 360° 24° 75° 150° 111°

What’s the same? What’s different? 26/12/2018 Discuss What’s the same? What’s different? All add up to 360? Does that make sense with our last angle property? Hopefylly say that vertically opposite angles are the same.

Vertically opposite angles are equal 26/12/2018 Example Angle property!! Vertically opposite angles are equal What do you notice?

Example Discuss with your partner how to find angles x and y? 26/12/2018 Example Discuss with your partner how to find angles x and y? Which angle properties are we using?

Example Angle y =35° because angles on a straight line add up to 180° 26/12/2018 Example Angle x = 145° because vertically opposite angles are equal. Angle y =35° because angles on a straight line add up to 180°

Angles on a straight line add up to 180° 26/12/2018 Example Angle property!! Angles on a straight line add up to 180° 60° 120° 120 + 60 = 180 Angles on a straight line add to 180°

26/12/2018 Questions For these questions, we are using the vertically opposite angles property.

Answers 26/12/2018 c = 135° a = 45° b = 120° h = 40° i = 140° f = 130° g = 50° j = 60° k = 120° r = 46° s = 134° t = 134° u = 123° v = 57° w = 57° z = 156° x = 24° y = 24°

Start with Red or Amber, move up towards Green!! 10 minutes 26/12/2018 Questions Start with Red or Amber, move up towards Green!! 10 minutes Don’t forget to ask for the challenge!

Answers 26/12/2018 r = 12° s = 73° t = 95 ° u = 95° p =38 ° q = 52° j = 32° k = 66° m = 37° h = 44° i = 75° f = 35° g = 81° c = 62° b = 153° a = 134°

26/12/2018 Extension

Answers 26/12/2018 e = 53° c = 62° a = 134° b = 153° d = 133° r = 12° t = 95 ° u = 95° j = 32° k = 66° m = 37° p =38 ° q = 52° r = 99° f = 35° g = 81° h = 44° i = 75°

Algebra! Work with your partner to find x 26/12/2018 Algebra! What angle property are we looking at? Work with your partner to find x What do both of those expressions add together to make? What can we form to find out what x is?

Worked example 26/12/2018 1)Angles on a straight line equal 180° 2) Form an equation first! 4x + x + 30 = 180 5x + 30 = 180 3) Solve the equation to find 𝑥 5x + 30 = 180 (-30) (-30) 5x = 150 (÷5) (÷5) x = 30

26/12/2018 Algebra Work together to find 𝑥

Algebra Worked example 26/12/2018 Form the equation first! 4x + 3x + 5x 12x Put what it is equal to! 12x = 360 (÷12) (÷12) x = 30 Worked example

Questions Start on Red or Amber and work your way up! 3x + 40 3x 2x Questions Q10) Q1) Q2) x + 60 3x 3x 4x 6x Start on Red or Amber and work your way up! Use a calculator to help you. 3x 2x Q11) Q3) Q4) 4x 5x 5x 3x x 4x + 10 4x + 20 Q5) Q6) 3x + 20 2x 3x x + 20 4x Q12) 2x Q7) Q8) 4x - 100 2x + 10 9x 4x - 20 5x x + 30 10x + 60 2x 3x + 20

Answers Mark your work in Green pen! Q9) 3x + 40 x = 40 3x 2x Answers Q10) Q2) Q1) x = 18 x + 60 3x x = 50 3x x = 30 3x 4x 6x Mark your work in Green pen! Correct your work if you got any answers wrong. 2x Q11) Q3) Q4) x = 20 x = 30 4x 5x 5x 3x x x = 30 4x + 10 4x + 20 Q5) Q6) x = 32 3x + 20 2x x = 20 3x x + 20 4x Q12) 2x Q7) Q8) 4x - 100 x = 30 2x + 10 4x - 20 x = 10 9x x = 10 5x x + 30 10x + 60 2x 3x + 20

Extensions Extra challenge 1 Extra challenge 2 Calculate x Calculate x 26/12/2018 Extensions Extra challenge 1 Calculate x Extra challenge 2 Calculate x 100° x° 125° 5x 6x 5x + 20

Extensions Extra challenge 1 Extra challenge 2 Calculate x Calculate x 26/12/2018 Extensions Extra challenge 1 Calculate x 100° + 125° = 225° 360° - 225° = 135° Extra challenge 2 Calculate x 5x + 6x + 5x + 20 = 16x + 20 16x + 20 = 180 x = 10° 100° x° 125° 5x 6x 5x + 20

Write down four angle properties from our work on angles 26/12/2018 Answers Property 2 Property 1 Write down four angle properties from our work on angles Property 3 Property 4

Plenary 26/12/2018 Property 2 Property 1 Property 3 Property 4 Angles on a straight line add up to 180° Angles in a right angle add up to 90° 60° 120° Write down four angle properties from our work on angles Property 3 Property 4 Angles around a point add up to 360° When two straight lines cross, the opposite angles are equal