Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Line (geometry) wikipedia , lookup
Perceived visual angle wikipedia , lookup
Multilateration wikipedia , lookup
History of trigonometry wikipedia , lookup
Rational trigonometry wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Compass-and-straightedge construction wikipedia , lookup
Trigonometric functions wikipedia , lookup
Integer triangle wikipedia , lookup
Sacred Heart Mathematics Department : Connect 2B Unit 2 – SSM1 – Angles and shapes – 8 lessons Extension Connect 2R Identify alternate angles and corresponding angles Understand a proof that: the sum of the angles of a triangle is 180 and of a quadrilateral is 360 Understand a proof that the exterior angle of a triangle equals the sum of the two interior opposite angles Explain how to find, calculate and use: the sums of the interior and exterior angles of quadrilaterals, pentagons and hexagons. Solve problems using properties of angles, of parallel and intersecting lines, and of triangles and other polygons Explain how to find, calculate and use: the sums of the interior and exterior angles of regular polygons Solve problems using properties of angles, of parallel and intersecting lines, and of triangles and other polygons Use straight edge and compasses to construct the bisector of an angle: Use a straight edge and compasses to construct the mid-point and perpendicular bisector of a line segment Use a straight edge and compasses to construct: the perpendicular from a point to a line; the perpendicular from a point on a line Use straight edge and compasses to construct a triangle, given right angle, hypotenuse and side (RHS) Les- Lesson title son 1 2.1 Angles Objectives Starter FrameNo work ICT/Additional Resources Support Connect 2G Know the sum of angles at a point, on a straight line and in a triangle Identify alternate and corresponding angles on parallel lines 10 2 3–4 2.2 Calculating angles Understand a proof that the angle sum of a triangle is 180º Understand that the angle sum of a quadrilateral is 360º Understand a proof that the exterior angle of a triangle is equal to the sum of the two interior opposite angles Use angle measure; distinguish between and estimate the size of acute, obtuse and reflex angles 24 Us a ruler and protractor to construct a triangle given two sides and the included angle (SAS) 2.3 Quadrilaterals Classify quadrilaterals by their geometric properties 13 5 6 7 8 2.4 Solving geometric problems Solve geometric problems by using angle, side and symmetry properties of equilateral, isosceles and right-angled triangles and special quadrilaterals, explaining reasoning with diagrams and text 2.5 Construction Construct a bisector of an angle, using a straight edge and compasses Construct the mid-point and perpendicular bisector of a line segment, using a straight edge and compasses 2.6 Perpendiculars Construct the perpendicular from a point to a line using a straight edge and compasses Construct the perpendicular from a point on a line using a straight edge and compasses TESTING End of unit test. Mental Arithmetic. Review Test Oral objectives: Badger Know and use squares, positive and negative square roots, cubes of numbers 1 7, 8, 9 to 5 and corresponding roots Convert between fractions, decimals and percentages 11,12,29 Find fractions and percentages of quantities 15,17 Know or derive complements of 0.1, 1, 10, 50, 100, 1000 8 35 37 Identify and draw parallel and perpendicular lines Recognise vertically opposite angles Know the sum of angles at a point, on a straight line and in a triangle, and recognise vertically opposite angles Identify and use angle, side and symmetry properties of triangles; solve problems using step-by-step deduction and explaining reasoning Key words: parallel, alternate, corresponding, vertically opposite, proof, interior, exterior, parallelogram, rhombus, isosceles trapezium, kite, arrowhead or delta, bisector, perpendicular bisector, compasses, perpendicular bisector, mid-point, equidistant, construct, perpendicular, arc.