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
Phys.Lett.B677,(2009)239 Ecm(GeV) L(pb-1) R s(S) 2.60 1.222 2.18 0.02 0.08 3.07 2.291 2.13 0.02 0.07 3.65 6.485 2.14 0.01 0.07 In good agreement with previous results BESIII: < 2% Resonance parameter fit Heavy charmonia parameters were fitted with the data...
Monosomy X, called . Turner syndrome, produces X0 females, who are sterile; it is the only known viable monosomy in humans . Disorders Caused by Structurally Altered Chromosomes. The syndrome . cri du chat ("cry of the cat"), results from...
Nike, Inc. Freeport-McMoran Copper & Gold Inc. This list is taken from the . Corporate Responsibility Magazine . ... balance sheet. 8. cash-flow statement. Capital can either come from friends and relatives or from banks, credit unions and/or loan companies.
The Internet offers many websites that contain information about the hairstyles and cosmetics used in Ancient Egypt, Rome, and Greece. In addition, sites can be found that depict styles of each century and many decades back to the 13th century....
Channel Member Selection and Channel Design. The channel member selection is the last phase of channel design (phase 7). Selection decisions can also be made independently of channel design decisions when new channel members are added to the channel or...
LYU0002 Wireless Cyber Campus Supervisor: Prof. Michael R. Lyu Student: Jang Kim Fung Tang Ho Man Presentation Outline Introduction Project Aim Progress of 1st Semester Problem faced & Solution Progress of 2nd Semester Future Work Conclusion Introduction (1) Traditional Campus...