6 hours Year 9 Extension Spring Term Unit 6 Coordinates; Measures and mensuration

NNS 218–219, 228–231, 234–247

Autumn Term

Spring Term

Summer Term

Support (from Y9 teaching programme)
• Calculate the surface area and volume of right prisms

Core (from Y9 objectives for able pupils)
• Know and use the formulae for the circumference and area of a circle
• Know and use the formulae for arcs and sectors of circles
• Calculate lengths, areas and volumes in right prisms, including cylinders
• Begin to use sine, cosine and tangent in right-angled triangles to solve problems in two dimensions
• Find points that divide a line in a given ratio, using the properties of similar triangles; given the coordinates of points A and B, calculate the length of AB.

 

Starters

Main

ICT

Scaffolding

Key Questions

Notes

ATM 40 Problems
~ p10 Triangle strips
~ p13 Triangle and crescent
~ p13 Inscribed polygons
~ p16 Copper tubing
~ p17 Spheres of different size
~ p19 Fitting circles
~ p20 Garden roller

1000 Playthinks
~ 258 Indiana Escape
~ 267 Rolling circle
~ 272 North Pole trip

ATM Middles
~ Mid field

 

MAP

~ Circle vocabulary template

 

1000 Playthinks
~248 Circle relationship
~254 Inscribed circles

CAME
~ 25 Triangle ratios
~ 28 Graph of the rotating arm

MAP
~ Trig beginnings

~ Make use of ‘Pi Day' (14 th March) to have a bit of fun – Pi recital championship?

MEDIAN
~ Area of overlap investigation
~ Two congruent triangles - area of overlap

PoD
~ 4/64 Eclipse

SHELL
~ Designing a can

 

TASK MATHS 3

~ What is Trigonometry?

 

30 Calculator lessons for KS3
~ Lesson 24 Trig ratios

BOTM
~ Y9 Problem Solving (v3)

HORN, Cornwall
~ Triangle proportionality
~ Cylinder antics

SMILE Spreadsheets make sense
~ Optimising (EP)

 

MAP
~ Generic assessment criteria

~ Circle vocabulary template

What is pi?

 

How many decimal places of pi do you know?

 

How many decimal places of pi do you need?

 

Model incorrect solutions to problems – what is wrong with this?

 

How can we construct a regular hexagon / square / equilateral triangle inside a circle?

 

‘Cherry pie is delicious, Apple pies are too'. What does this mean? [C = p d, A = p r 2 ]

 

 

MAP – Level Ladders
~ Perimeter, area, volume

Extended task: SHELL Design a can