My Year 7s... Starting over...? Assessment Narrative
Vocabulary and Notation Instruction and Practice Assessment Distributed Practice
Notation, drawing, measuring, estimating Straight lines, around a point, vertically opposite Angles in triangles and quadrilaterals Quadrilateral properties Angles in parallel lines
Angles in polygons and tessellation Bearings Leading to circle theorems, trigonometry Linked to similarity, congruence, constructions
Adjacent angles on a straight line The unexpected misconception
Say angles that form a straight line or adjacent angles on a straight line or angles at a point on one side of
a straight line but avoid the ambiguous angles on a straight line
Show a large number of examples and nonexamples Assessing Reasoning Skills Interior Angles
in a Triangle Demonstration s
Proof comes later... Practice finding missing angles algebra and triangle angles
(3) 9k 3n
2f f 3f
(6) (5) (4)
8d 22e 5p 4p
23e 7d algebra and triangle angles
(9) c 4a
4b 2c (12) (11)
(10) 3e d + 40
3f + 20 2e d + 30
d + 20 e + 60 f
2f + 10 My students found this really hard Proofs
three angles in a triangle c
(1) if a + b = 90o + c, prove that c = 45o (2) if a + b = c, prove that c = 90o (3) if c is the average (mean) of a and b prove that c = 60o (4) if a + b = 180o a prove that the triangle is isosceles (5) if a + b = c b prove that c = b + 90o
isosceles triangle proofs (i) Q
Q (2) (1)
establish that triangle PQR is right-angled b
b P prove that b = 2a
a S a
(4) Q (3)
Q b a P
b a S
prove that 4a + b = 180o R
P S prove that
b = 180o 3a R GCSE questions suitable for Year 7s
Problem Solving How many lessons can we spend
looking at angles in triangles? Resources... MathsPad Don Steward
Malakiss Solve My Maths CIMT Dr Frost (including proofs) Corbett Maths
Topic: Investigation. Level of competency of the IO and transparency of the role of investigation officer must be increased. Investigation police should be brought under the control of operation police in a way that there should be two additional SHOs.
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