Class: 7N2 (3rd set)
Lesson
Mental Starters
M
2/12/02
Learning Outcomes:
Learning
Outcomes
SSM 2: Angle Rules
Key Words
Main Activity
Page 1
Plenary
Resources
1. To be able to explain what is an angle. 2. To be able to use notation & conventions correctly (including obtuse, right, reflex, acute).
3. To be able to identify perpendicular and parallel lines in diagrams and real-life situations.
Learning Outcomes: To be able to find unknown angles using 4 angles rules: Angles on straight line; angles at a point ; angles in a ∆; vertically opposite angles are equal.
1. To be able to use notation & conventions correctly.
angles:
Introduction 1: Angle Rules OK (P’point)
L1
angle
 To be able to use and apply
Groups to
Brain Gym 1
Brain Gym 1(PowerPoint)
Slide 1: 4 diagrams – which rule is needed to find the missing
acute
-to practise shape names; number
4 angles rules in a range of
present 1
(PowerPoint)
angles at a point angle? Review 4 rules. Explain that activity in WS 1 required
(can calculations – whole-brain gym
questions to find unknown
solution each
degree (º)
pupils to decide which rule. Only 1 missing angle per diagram.
extend One shape & some names appear on
angles:
from WS 2 to
Angle Rules
obtuse
screen
simultaneously.
Pupils
to
name
rest of class:
OK
to 2
point
Pupil Activity: Angle Rules OK WS1.
matching
shape.
Angles
on
straight
line
=
(board
or
A3
(PowerPoint)
lesreflex
(1missing angle per diagram.)
180°;
sheert)
vertically opposite
sons)
Groups of 4: discuss and decide which of 4 rules and work out
14 shape activities are interspersed with - Angles at a point = 360°;
triangles:
angle for each one.
base
14 number calculations. Calculations
- Angles in a ∆ = 180°;
 Starting
Angle Rules
Individually:
record working out & correct answer in degrees.
base angles
are examples from angle rules, all
- Vertically opposite angles
angle
OK WS1
Whole-class:
select 3-4 Qs & compare solutions.
equal angles
involving addition or subtraction to
are equal.
 Order
(1 A3 copy
equal sides
180º or 360º.
 Working out per group or
Introduction
2:
Angle
Rules
OK
(P’point)
equilateral
(Pupils are alternating between spatial
 Answer
1 A4 each)
isosceles
Slides – 2-8: 1 diagram with 4 rules
& numerical thinking (left- and right Any
line
(4 missing angles – if pupils need help, click to highlight in red:
brain thinking – there is no connection
shortcuts /
Angle Rules
line segment
 correct part of diagram  rule  answer)
between shape Q & number Q).
strategies … OK WS2
scalene
vertex
(1 A3 copy
Use to demonstrate how to solve more than 1 missing angle in 1
vertices
Aim is to move quite quickly between
per group or
st
nd
rd
th
diagram: which angle 1 ? 2 ? 3 ? 4 ? Idea of breaking down
shape and number Qs.
1 A4 each)
complex task to simple ones. Explain WS2.
Tu 3/12 & Th 5/12
L2 -3
Speed controlled by mouse click..
Pupil Activity: Angle Rules OK WS2.
(several missing angles per diagram.)
Groups of 4: each pupil chooses 1 of the 4 rules they feel
particularly good at. Decide for each diagram if their rule is
needed. Work out which is 1st angle; then order.
Individually – record working out & correct answer in degrees.
Whole-class: select 3-4 Qs & compare solutions.
(Alternatively, groups could present solution for 1 Q – record order,
working out & answer on an A3 sheet and explain to class.
1 blank A3
sheet
per group of
4
Differentiation: 1) Mainly by provision of open-ended questions, or spread of questions with
range of levels of difficulty.
2) Teacher support for individual work; group support in group work.
3) Group work allows pupils to choose rule they feel comfortable with
Mathematics
Year 7 Programme
SSM 2: Angles and Coordinates for Christmas
Class:
Lesson
No.
L2
(can
extend
to 2
lessons)
Mental Starters
Learning
Outcomes
Brain Gym 1(PowerPoint)
-to practise shape names; number
calculations – whole-brain gym
 To be able to state
coordinates of a point in all 4
quadrants
As in previous lesson, but build
confidence in naming and
calculating.. Eg: increase speed for
yesterday’s successful Qs, and spend
more time on problem Qs.
 To be able to link shape
properties to coordinates in
4 quadrants
One shape & some names appear on
screen simultaneously. Pupils to
name matching shape.
14 shape activities are interspersed
with 14 number calculations.
Calculations are examples from angle
rules, all involving addition or
subtraction to 180º or 360º.
(Pupils are alternating between spatial
& numerical thinking (left- and rightbrain thinking – there is no
connection between shape Q &
number Q).
Speed controlled by mouse click..
Autumn Term : Second Half
Key
Words
grid
direction
position
origin
quadrant
axis, axes
x-axis
y-axis
coordinates
x-coordinate
y-coordinate
scalene
isosceles
equilateral
right-angled
polygon
pentagon
hexagon
octagon
quadrilateral
kite
parallelogram
square
rectangle
trapezium
Main Activity
INTRODUCTION: Coordinate Grid Starter (Folens
P’Point):
Use to review coordinates. Eg: be able to distinguish
between
( 2, 3), ( - 2, 3), ( 2, - 3), ( - 2, - 3)
Given 2 coordinates of a square or rectangle ; where might
be the other 2 corners? (including possibility that 2 points
given are opposite corners and not adjacent).
Pupil Activity: Sledge Wars (computer Battleships-type
activity)
(option of 3 Grids; identical instructions; see
‘Differentiation’).
Paired activity: Decide who is Santa Claws and who is the
Anti-Santa.
Decide between 3 – 6 sledge shapes given on Grid sheet.
Each player then plots on own grid (keep hidden).
Players take turns to guess coordinates of other player.
Record hits in 1 colour and misses with another colour.
When a player hits all the coordinates of 1 sledge shape,
they win that piece. Colour in sledge shape on record
sheet. 1st Santa to build a complete sledge wins the game.
Plenary
Resources
Review:
1. Coordinates –
conmmon errors –
- y-coordinate
before x-coordinate
- correct use of –
sign.
Strategies for
remembering (eg:
the baby crawls
along before he
stands up  x
before y … )
Brain
Gym
1(PowerP
oint)
2. Link between
shapes and
coordinates –
Which shapes were
easiest top plot?
Why? How did
symmetry on grid
lines help you to
plot eg a rhombus?
By the end of this lesson:
You must be able to state the coordinates of any point in the 1st quadrant, and plot a point correctly from its coordinates.
(Grid 1: 1st quadrant only)
You should be able to
state the coordinates of any (integer) point in all 4 quadrants, and plot a point correctly from its coordinates.
Link coordinates of a common shape to shape properties of a square, rectangle, rhombus and some triangles
(Grid 2: All 4 quadrants)
You could be able to
- Use non-integer coordinates, eg: (2.5, - 3.5)
(Grid 3: All 4 quadrants – scale: 0.5’s)
- Link coordinates of a common shape to shape properties of a square, rectangle, triangles, parallelograms and rhombi.
Coordinat
e Grid
Starter
(Folens
P’Point):
Sledge
Wars
(computer
Battleship
-type
activity)
Mathematics
Year 7 Programme
SSM 2: Angles and Coordinates for Christmas
Class:
Lesson
No.
L3
Mental Starters
Construction Intro
(Xtmas Angles PowerPoint) – oral-
Learning
Outcomes

1st 4 slides
(can
extend
to 2
lessons)
- use 2 Stars and Stable from
Nativity
Scene to identify:
- acute angles
- obtuse angles
- reflex angles
- parallel lines (Stable)
Autumn Term: Second Half
Key
Words
Use angle measure;
distinguish between f acute,
obtuse and reflex angles.
(Fwk, Page 232).

Draw angles ± 1º

Draw lines ± 1mm

Break a complex task into
smaller more manageable
steps.
grid
direction
position
origin
quadrant
axis, axes
x-axis
y-axis
coordinates
x-coordinate
y-coordinate
construct
draw
measure
ruler
symmetry
tessellate
tessellation
Main Activity
Plenary
INTRODUCTION: Nativity Scene 1 (Xmas Angles
P’Point) - Slide 5
Use to review 4 rules: Can you find an example of:
- angles on a straight line? Do they add up to 180º ?
- angles in a triangle? Do they add up to 180º ?
- angles at a point? Do they add up to 360º
- vertically opposite angles?
MAIN: choice of 3 activities –
Activity 1: Nativity Scene - protractor constructions
Activity 2: A Xmas Optical Illusion–
compasses
constructions
Activity 3: Garlands from Snowflakes - coordinate
constructions
Intro each of 3 activities
Slides 5 - 15
Pupil Activity: Nativity Scene WS 1 and WS 2
OR
Pupil Activity: Intro to A Xmas Optical Illusion WS 3
Pupil Activity: Garlands from Coordinate Grid WS 4
Garlands from Coordinate
Instructions WS 5
All need pupils to be accurate (or they don’t work!).
- The aim in both is to construct 1 part each of a Christmas
picture. (Rough draft first).
- When put together the drawing s will make either the
Nativity scene above, or a Christmas Optical Illusion.
- Lines need to be ± 1mm; angles need to be ± 1º.
Note: Accuracy & Teamwork
(The need for accuracy should be ‘visible’ to pupils if
they understand the ‘whole picture’ from the beginning:
if they don’t keep to the ± 1mm, ± 1º, rule then the group
effort on the final picture will fail).
Resources
Presentation by
each group of final
picture.
(Xmas
Angles
P’Point)
Discuss how well
the shapes fit.
Could include
sources of error,
such as:
- Loose compasses
- Cumulative error
if each of 8
angles are 1
degree out, the 8th
one could be 8
degrees out;
Construction Intro
(P’Point)
- ditto – lines
etc
Slides
1 – 15
Nativity
Scene
WS 1 &
WS 2
Intro to
A Xmas
Optical
Illusion
WS 3
Garlands
from
Coordinate Grid
WS 4
Garlands
from
Coordinate
Instruction
WS 5
By the end of this lesson:
Pupils must be able to:
Pupils should be able to:
Pupils could be able to:
construct an acute angle ± 1º (Activity 1)
construct acute & obtuse angles ± 1º (Acty 1);
construct any angle ± 1º (Acty 1);
construct a hexagon using compasses / ruler ± 1º(Activity 2) ;
construct a hexagon using compasses / ruler ± 1º , ± 1mm (Acty. 2);
plot a shape in 1st 2 quadrants (Activity 3).
plot a shape in all 4 quadrants,
- coordinates with ½ units (Act 3).
construct a hexagonal tessellation using compasses / ruler ± 1º (2); tessellating a shape in all quadrants,
- coordinates with ½ units (Act 3).
Q3
Q6
Q5
Q2
Q1
Q4
Q14
Q7
Angle Rules OK Lesson 1
(Extension WS)
Measure these angles.
Do they obey the Angle Rules?
Q13
Q12
Q11
Q8
Q9
Q10
Q3
Q5
Q6
Q2
Q1
Q4
Q7
Q14
Angle Rules OK Lesson 1
WS1
Decide which angle rules to use
and
find the missing angles.
DIAGRAMS ARE NOT TO SCALE
Q8
Q9
Q13
Q12
Q11
Q10
WS 1
Angle Rules OK
Answer Sheet
WS 1 Answer Sheet
Lesson 1 Version 2
Lesson 1
by
_______________________
a
b
c
d
e
f
g
h
i
j
k
l
m
n
WS 1
Answer Sheet
Angle Rules OK
WS 1 Answer Sheet
Q
Angle
Rule
1
a
Angles on a straight line = 180º
2
b
3
c
4
d
5
e
6
f
7
g
8
h
9
i
10
j
11
k
12
l
13
m
14
n
Lesson 1
Version 1
Lesson 1 by
_______________________
Working out
160 + a = 180  a = 180 – 160 = 20
Answer
in º
20º
Angle Rules OK Lesson 1
WS2
Decide which angle rules to use
and
find the missing angles.
DIAGRAMS ARE NOT TO SCALE
WS 2
Angle Rules OK
Answer Sheet
WS 2 Answer Sheet
Lesson 1
Lesson 1
Version 1
by
_____________________
WS1
Q
Angle
Rule
1
P
1. angles in a ∆ = 180
2. angles on straight line = 180º
2
Q
3
R
4
S
5
T
6
U
7
V
8
W
9
X
10
Y
11
Z
Working out
… 45 + 40 = 85 
… 180 – 95 = 85º
180 – 85 = 95º
Answer
in º
85º
WS 2
Angle Rules OK
Answer Sheet
Lesson 1
WS 2 Answer Sheet
by
Version 2
_______________________
___/___/___
WS1
p
q
r
s
t
u
v
w
x
y
z
Lesson 2: Sledge Wars
Sledge Pieces
Grid 1
Your Sledge Pieces
Record your Sledge Shapes here
1 square
yaxis
Rules
You have up to 6
sledge pieces.
Agree on how many
you’re going to use.
Decide where to place
them on the grid.
Draw them.
Make sure the corners
lie on the grid lines.
1 rectangle
Take turns to guess
the coordinates of
your opponent’s pieces.
1 right-angled
triangle
xaxis
1 isosceles triangle
When you guess a
shape, you can start
to build the sledge
(see Record Sheet).
2 parallelograms
Your Opponent's Sledge Pieces
Winner is the first
Santa to build his
sledge.
Record your guesses about your opponent's Sledge Shapes here (eg: Hits in red and Misses in blue).
yaxis
xaxis
Lesson 2: Sledge Wars
Sledge Pieces
Grid 2
Rules
Your Sledge Pieces
You have up to 6
sledge pieces.
Record your Sledge Shapes here
Agree on how many
you’re going to use.
yaxis
1 square
Decide where to place
them on the grid.
Draw them.
Make sure the corners
lie on the grid lines.
1 rectangle
xaxis
1 right-angled
triangle
Take turns to guess
the coordinates of
your opponent’s pieces.
When you guess a
shape, you can start
to build the sledge
1 isosceles triangle
(see Record Sheet).
Your Opponent's Sledge Pieces
Winner is the first
his
Record your guesses about your opponent's Sledge Shapes
here
Santa
to build
sledge.
(eg: Hits in red and Misses in blue).
2 parallelograms
yaxis
xaxis
Lesson 2: Sledge Wars
Sledge Pieces
Grid 3
Rules
You have up to 6
sledge pieces.
Your Sledge Pieces
Record your Sledge Shapes here
Agree on how many
you’re going to use.
y -axis
1 square
Decide where to place
them on the grid.
Draw them.
Make sure the corners
lie on the grid lines.
1 rectangle
1 right-angled
triangle
x -axis
Take turns to guess
the coordinates of
your opponent’s pieces.
When you guess a
shape, you can start
to build the sledge
1 isosceles triangle
(see Record Sheet).
Winner is the first
Santa to build his
sledge.
2 parallelograms
Your Opponent's Sledge Pieces
Record your guesses about your opponent's Sledge Shapes here (eg: Hits in red and Misses in blue).
yaxis
xaxis
Sledge Wars Record Sheet
Lesson 2
Every time you win a sledge piece in the
Sledge Wars, colour in a sledge piece on
your sledge.
The Anti - Santa
The first Santa to build his sledge WINS.
Santa
Claws
Game 1
AntiSanta
Game 2
Game 3
Santa Claws
Overall Winner:
Lesson 3:
Nativity Scene
WS 1
Information
Angles to scale
Measure lengths
in cm
Using colour?
CHOOSE
COLOUR
SCHEME
and
DRAW YOUR
NEAT VERSION
ON COLOURED
PAPER.
WANT YOUR
PICTURE
TWICE AS
BIG?
DOUBLE
ALL THE
LENGTHS!
( - and use A3
sheet to fit it
all on)
TIPS!
Lesson 3: Nativity Scene Drawing Instructions WS 2
1.
2.
3.
4.
5.
6.
7.
Divide pieces among pupils in group. 15 pieces: 7 STARS 5 SKY PIECES 1 STABLE 1 INTERIOR 1 SAND
Measure lengths of all lines 1st and note down on diagram.
Choose a starting line on your piece (any will do).
Draw 1st line on rough paper.
Construct angle given using protractor.
Draw 2nd line the correct length.
Continue with each angle and length.
- DOES YOUR LAST LINE JOINS UP WITH 1ST LINE? IF IT IS MORE THAN 1MM OUT, CHECK YOUR ANGLES & LENGTHS.
- When ready, repeat carefully on a second piece of paper, and arrange all the pieces together on backing paper.
USE
SHARP
PENCIL
and
RULER
to draw
lines
Lesson 3:
A Christmas Optical Illusion! WS 3
- How Many Presents Can You See?
0°
300°
60°
240°
120°
180°
Picture 1
1. Mark a dot in centre of
blank page.
2. Mark off every 60° exactly.
(around circular protractor)
3. Join up 6 marks.
(Check equal to nearest mm).
Picture 2
4. Join up these 3 lines only.
WARNING!
The optical illusion
will only work if you
measure accurately :
ANGLES + or – 1 degree
LINES
+ or – 1 mm
Picture 3
5. Shade:
one area = LIGHT GREY ( top right )
one area = BLACK
(top left )
one area = leave WHITE ( base )
6. Cut out with care and paste
onto display .
How many presents
do you see – 3 or 8?
Coordinates for
Snowflake
Activity 3: Garlands from Snowflakes
WS 5: Instruction Sheet
(-10, 8)
(-10, 9)
(-9, 9)
(-9, 10)
(-8.5,9.5)
(-8.5, 9)
(-8, 9.5)
(-7.5, 9)
(-7.5,9.5)
(-7, 10)
(-7, 9)
(-6, 9)
(-6, 8)

(-5, 8)
(-5.5, 7.5)
(-6, 7.5)
(-5.5, 7)
(-6, 6.5)
(-5.5, 6.5)
(-5, 6)
(-6, 6)
(-6, 5)
(-7, 5)

(-11, 6)
(-10.5, 6.5)
(-10, 6.5)
(-10.5, 7)
(-10, 7.5)
(-10.5, 7.5)
(-11, 8)
(-10, 8)
(-7,4)
(-7.5,
4.5)
(-7.5, 5)
(-8, 4.5)
(-8.5, 5)
(-8.5,
4.5)
(-9, 4)
(-9, 5)
(-10, 5)
(-10, 6)
Plot
Tesselate
coordinate
s to make
1
snowflake
to make a
symmetry
pattern
Add
interior pattern,
like this …
… or like
this …
(Design
your
own)
Activity 3: Garlands from Snowflakes
WS 4: COORDINATE GRID
10
9
8
y- axis
7
6
5
4
3
2
1
0
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
x- axis
-2
-3
-4
-5
-6
-7
-8
-9
-10
8
9 10