Unit 2 – SSM1 - Pearson Schools and FE Colleges

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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

Lesson

1

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

2

3–4

5

6

Lesson title Objectives

2.1 Angles

2.2 Calculating angles

Identify alternate and corresponding angles on parallel lines

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

2.3 Quadrilaterals Classify quadrilaterals by their geometric properties

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

Starter

No

Framework

10

24

13

8

35

ICT/Additional

Resources

Support Connect 2G

Know the sum of angles at a point, on a straight line and in a triangle

Use angle measure; distinguish between and estimate the size of acute, obtuse and reflex angles

Us a ruler and protractor to construct a triangle given two sides and the included angle (SAS)

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

Use straight edge and compasses to construct a triangle, given right angle, hypotenuse and side (RHS)

7

8

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:

Know and use squares, positive and negative square roots, cubes of numbers 1 to 5 and corresponding roots

Convert between fractions, decimals and percentages

Find fractions and percentages of quantities

Know or derive complements of 0.1, 1, 10, 50, 100, 1000

Badger

7, 8, 9

11,12,29

15,17

37

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.

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