Download Unit 2 - Pearson Schools and FE Colleges

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.