# LO To assess my understanding of constructing triangles LO To assess my understanding of constructing triangles and angle facts. Key Words: Reflect, Communicate, Explain, Justify RAG 01/30/2020 Starter Activity Complete the Heard the Word Grid. Are there any key words that you have learnt or have a better understanding of now than you did at the start of this unit of work? Angle s and Circle Theorems Grade F E D C

B A/A* I am able to draw and measure angles using a protractor. I know that the sum of angles in a triangle is 180 degrees and the sum of the angles in a quadrilateral is 360 degrees. I can solve simple problems to calculate missing interior and exterior

angles in polygons. I can solve multi step problems to find interior and exterior angles in polygons. I can find angles in circles. I can find angles in circles using the alternate segment theorem (A). I can calculate missing angles in triangles and quadrilaterals, around a point and on a

straight line. I can solve simple problems to calculate missing angles on parallel lines. I can recognise and label types of triangle. I can recognise and label types of angles. I can solve multi step problems to find missing angles on parallel lines. I can use circle theorems to

prove geometrical results (A*). Key Words / symbols Corresponding Alternate Interior Exterior Vertically Opposite Same Segment Theorem Alternate Segment Theorem Cyclic Quadrilateral Never heard before? Heard of

but not sure what it means? Know what it means and can explain it in context Jot down your ideas here... Grade F Questions Write down the special name for this type of What do you need to know before you can angle. be sure if a triangle is isosceles, equilateral or scalene? Measure the angle and write down the size to the nearest degree . Write down the special name for this type of What is the special name for this type of angle. triangle? Measure the angle and write down the size to the nearest degree . Write down one fact about this type of

triangle. Grade E Questions What can you tell me about the angles in Is it possible for a triangle to have angles of any triangle. the sizes shown? Diagram not drawn accurately. Explain your answer. 400 800 700 Is it possible for a triangle to have more than What is different about a scalene triangle one obtuse angle? and an isosceles triangle? Explain your answer. Grade E Questions

300 Diagram not drawn accurately. Diagram not drawn accurately. An isosceles triangle has one angle of 300 Is this enough information to know the size of the other two angles? PQR is a triangle. QRS is a straight line. Find the size of the angle marked y. Why? y = ..................... Give a reason for your answer. Grade E Questions What can you tell me about the angles in Is it possible for a triangle to have angles of

any triangle. the sizes shown? Diagram not drawn accurately. Explain your answer. 400 800 700 Is it possible for a triangle to have more than What is different about a scalene triangle one obtuse angle? and an isosceles triangle? Explain your answer. Grade D Questions Work out the size of angle x Give a reason for your answer. Here is a Regular Pentagon. What is the sum of the interior angles? What is the size of one interior angle?

What is the size of one exterior angle? Give reasons for your answers. Grade C Questions The diagram shows two regular shapes. Diagram not Work out the size of the angle marked x. drawn You must show how you got your answer. accurately. The diagram shows 3 sides of a regular polygon. Diagram NOT accurately drawn Each interior angle of the regular polygon is 140. Work out the number of sides of the regular polygon. Work out the size of an exterior angle. You must show how you got your answers. Grade C Questions Work out the size of angle x. You must show how you got your answer. Diagram not drawn accurately.

ABCDE and AFGCH are regular pentagons. The two pentagons are the same size. Work out the size of angle EAH. You must show how you got your answer. Diagram not drawn accurately. Grade B Question A, B, C and D are points on the circumference of a circle with centre O. Angle ABC = 116 Find the size of the angle marked x. Give reasons for your answer. Grade B Question B, C and D are points on the circumference of a circle, centre O. AB and AD are tangents to the circle. Angle DAB = 50 Work out the size of angle BCD. Give a reason for each stage in your working.

Grade A/A* Question What is the size of: 1. Angle x? 2. Angle y? Diagram not accurately drawn. Grade A* Question A and D are two points on the circumference of a circle. A and B are two points on the circumference of a smaller circle. DB and AC are tangents to both circles. E is the intersection of DB and AC. E is the midpoint of AC. Prove that ABCD is a rectangle. Use the space below to set yourself a Use the space below to answer the question that question similar to the ones you you have set yourself were able to answer confidently. My own question

My answer My own question My answer Angle s and Circle Theorems Grade F E D C B A/A* I am able to draw and measure angles using a

protractor. I know that the sum of angles in a triangle is 180 degrees and the sum of the angles in a quadrilateral is 360 degrees. I can solve simple problems to calculate missing interior and exterior angles in polygons. I can solve multi step problems to find interior and exterior angles in

polygons. I can find angles in circles. I can find angles in circles using the alternate segment theorem (A). I can calculate missing angles in triangles and quadrilaterals, around a point and on a straight line. I can solve simple problems to calculate missing angles on parallel

lines. I can recognise and label types of triangle. I can recognise and label types of angles. I can solve multi step problems to find missing angles on parallel lines. I can use circle theorems to prove geometrical results (A*). Use the learning journey above to highlight the mathematical skills that you have now which you didnt have at the start of the unit of work. How much progress have you made? What can you do to improve your skills as a learner in order to make even better progress?

My teachers probing question My answer What I will do to act upon my Even Better If comment Strategy Complete a mymaths lesson or booster pack Use a revision guide or text book Ask my teacher to explain during a lesson Ask a peer to explain during a lesson Ask someone at home to help Attend a revision session at school Attend homework club Something else (describe your strategy here) Tick / Comments