ratio topic

8/12/2019 ratio topic

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Functional Skills: Mathematics Level 2

Sample Lesson Plan: Ratio, Proportion and Scale

Functional Skills: Mathematics – Level 2Ratio, Proportion and Scale (Sample Lesson Plan)

Duration: 1.25 ours

Lesson aims:Learners to understand and use ratio, proportion and scale.

Speci!ic learnin" outcomes:Students ill !e a!le to:

• Reco"nise the di##erence !et een ratio and proportion.• $se and calculate ratio and proportion.• Solve pro!lems involvin" scale.• $se appropriate checkin" procedures.

#ssessment method$s%:• %roup activities• &uestion ' ns er durin" the session..• Learner en"a"ement durin" session.• orksheet

Linked Functional Skills:Speaking, listening and communicating:Students participate in discussions durin" the session, ho the* articulate ans ers and communicate ith other learners.

Previous kno&led"e assumed:$nderstand and use positive and ne"ative num!ers o# an* si+e in practical conte ts.-arr* out calculations ith num!ers o# an* si+e in practical conte ts.-ollect and represent discrete and continuous data.

Materials and e'uipment re'uired:um!er cards. Rulers.orksheet




Sample Lesson Plan: Ratio, Proportion and Scale

(ime)Sta"e Su*+ect Matter) ontent (eacher #ctivit- Student #ctivit- Resources) otes

/ min Small %roup ctivit*:Form "roups ith a mi ture o#!o*s and "irls. 0denti#* ratio andproportion.

sk the class to divide into small"roups – ma imum / or 1). ach"roup to have a mi ture o# !o*sand "irls.

ach "roup then identi#ies theratio o# !o*s:"irls in the "roup andthe proportion o# "irls (or !o*s) inthe "roups.

3iscussions and a"reement.0denti#* ratio and proportion.

Proportion can !e #ractions,percenta"es or decimals.

45 min planat ion and di scussion. 3i scuss the di##erence !et eenratio and proportion. 0denti#*proportion as #ractions,percenta"es and decimals.

sk 6uestions -lari#* that ratio compares thesets ithin the "roup.Proportion compares each setto the hole "roup si+e.Rein#orce the di##erent #ormso# proportion and thecommonl* kno e6uivalencese.". 478 9 42./

45 min Small %roup ct ivit*:-onsider keepin" them in thesame "roups as developeda!ove.

hich tree is the tallest;

sk each "roup to measure,calculate the hei"ht usin" the scaleand place the trees in order o# realhei"ht.

Measure the dia"ram hei"ht.$se scale to calculate the realhei"ht.Place in order.3iscussion and a"reement.

3ependin" on the "roup a!ilit*,*ou ma* ish to "ive each"roup a di##erent set, or "ivethem all the same set.<he card sets are !est printedin di##erent colours. <he realhei"ht order is printed on the

top o# the card sheet. 3on=t"ive out the sheets>

/?45 min planat ion and discussion Focus attention so that the visualhei"ht o# the dia"ram does notreveal its true hei"ht. <he scalehas to !e applied.

sk &uestions

2/ min orksheet <ask @and out orksheets and "uide orksheet.





Sample Lesson Plan: Ratio, Proportion and Scale(ime)Sta"e Su*+ect Matter) ontent (eacher #ctivit- Student #ctivit- Resources) otes

students to sho in" theircalculations. 0ntroduce the need todo some pro!lem solvin".

sk them to check their ans ers.

45 min orksheet ns ers Provide ans ers and "ivee planations here necessar*.

sk 6uestions and discuss checkin"procedures.

sk 6uestions <his can provide the #ocus #or adiscussion o# usin" ratio,proportion and scale in realli#e.

/ min -onclusion. Rede#ine ratio,proportion and scale. sk #or6uestions.

%uide learners to common sensecheckin".

sk &uestions.





Scale ard 1

Real hei"ht order – lo est to hi"hest: d,!,a,c

a)

Scale 4: 245

!)

Scale 4: 2A5

d)

Scale 4:415

c)

Scale 4: 4B5





Scale ard 2

Real hei"ht order – lo est to hi"hest: a,d,c,!

Scale 4: 4/5

.

Scale 4: 4B5

.

Scale 4:425

Scale 4: 4C5





Scale ard /

Real hei"ht order – lo est to hi"hest: d,!,c,a

Scale 4:4/5

.

Scale 4: 415

.

Scale

4:445

Scale 4: 4A5





Scale ard /

(ask 1 "roup o# students are plannin" an outin" to the local theme park. <he theme park

re6uires a ratio o# at least 4 adult to 42 students #or a "roup visit. 0# the students are mio# !o*s and "irls, there must !e at least 4 #emale adult #or ever* 42 "irls.<he "roup o# students are:

Girls 38Boys 25

-alculate the minimum num!er o# male and #emale adults that need to accompan* thestudent "roup.

DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD













Scale ard /

(ask 2<he River <hames has a ide variet* o# ater?!irds. n environmental "roup recorded thenum!er o# a ran"e o# ater?!irds at the Penton @ook area o# the river.

(-pe um*erS an 1/

-anada "eese 24

%reat crested %re!e 4/

Mallard duck A5

%ra*la" "oose A

-oot 42

%re* @eron 4

hat proportion o# the ater?!ird population recorded are s ans; %ive *our ans er as apercenta"e;

hat is the ratio o# Mallard ducks to -oots; %ive *our ans er in its simplest #orm.

(ask /<he recommended ma imum slope #or an access ramp #or heelchairs is 4 in 42.

n e ample o# a ma imum slope #or an access ramp is:

<he ne li!rar* has an entrance hich is 85cms a!ove "round level. -alculate thehori+ontal len"th o# the access ramp that must !e included as part o# the entrance;









Vertical 1 m

Horizontal 12 m




Scale ard /


(ask 0

"arden desi"ner has prepared a dia"ram o# a "arden space to !e included in a nepropert*.

<he desi"ner ants to include the dia"ram as a scale dra in" in a document #or theo ner. <he document ill !e printed on C paper, hich has a idth o# 24cms. <o ensure"ood printin" the C pa"e must have 2cm ith no printin" on each side o# the pa"e.

D


Lawn

21 cm

Flower bed

Flower bed

2 m 2 m

6 m

3 m

2 cm




Scale ard /

-alculate the ma imum scale that the desi"ner can use to include the dia"ram in thedocument. <he scale must !e rounded to a hole num!er.



























Scale ard /

(ask 5 team o# 8 #riends did a charit* s im. <he mone* the* raised is:

Person Mone- raised $ S%425.55

E B1./5

- 8/.55

3 455.55

1. /

F 8A.15

% B/.55

@ 8 .4/

<he* have decided to donate the mone* to three charities P, &, R in the ratio 4:2:A.@o much ill each charit* receive;


















ratio topic

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