Lecture Signature:

Grade: 10

Subject: Mathematical Literacy

Time: 40min

School: High School Andrew Rabie

Week: (6)

Date: 7 September 2015

Lesson Topic: Volume

Resources: PowerPoint, Chalkboard,

Summary notes,

CAPS prescribed time: 3 weeks

CAPS Topic: Context focusing on Measurement (Perimeter, area and volume)

Term: 3

Lesson Outcomes:

By the end of this lesson the learners will be able to:

a) Define the concept Volume

b) Explain what is meant by three dimensional

c) Calculate the volume of a rectangular prism, cylinder

d) Give the correct formula for each shape

e) Distinguish between length, breadth and height

Lesson Plan:

Lesson Phase

Teacher Activities

Learner Activities

Assessment Strategies

Resources

Time

Introduction/ Orientation

Introduction/ Orientation

Teacher will start of lesson with real life examples.

Draw on learners prior knowledge through baseline assessment (See annexure A and B)

Identify learning outcomes

Introduce new concept and give overview of the lesson.

Teacher will hand out notes.

The learners will listen attentively and observe the demonstration of the real life examples.

Learners will answer questions and ask questions related to the introduction of the new topic.

Learners will listen attentively.

The learners will receive the notes.

Question and answering

Oral feedback

Asses learners answers and observe their reaction

PowerPoint

Summary notes

Brick and Glass as example

10 min

Exposition

Give full definition of each concept (see annexure C)

The teacher will test for understanding of each concept by doing an example of each with the class.

Teacher will divide class into groups and hand out objects of which the volume will be calculated in the internalization phase.

.

Learners will listen when new concepts are explained.

Learners will underline/ highlight on their summary sheets.

Learners answer questions asked and take part in interaction with the teacher

Learners will divide into groups of 4 and receive the objects.

PowerPoint

Extra notes

Chalkboard

Picture Cards

10min

Internalization

Teacher instructs the learners to calculate the volume of each object handed out (See annexure D) (group work)

The teacher will walk through the class assisting and guiding the learners to do calculations correctly. Helping them to get to the right answers.

The teacher will ask learners to give feedback once activity is finished. (Whole class discussion)

The learners will calculate the volume of the objects in groups of four. Must help each other to do the calculations.

Learners will listen, ask questions (where needed) and complete the activity in the time provided.

The learners will provide the teacher with their answers (if it is required of them) and write down the correct answers provided by the teacher (if they had an incorrect answer)

Observation, Question and answering

Asses answers learners give for exercise

Picture cards

Class activity

10 min

Application

Review content (See annexure F)

Teacher will instruct learners to complete activity. Teacher will instruct them to start with the activity and complete it for homework (See annexure E)

The learners will answer the teachers questions (when it is required of them).

The learners will write down there homework and start it in class (if there is still time available) and finish it for homework.

Question and answering

Assess whether learners understand homework

Worksheet

PowerPoint

10min

Reflection

I enjoyed preparing this lesson, as I know the content very well. Ive been teaching this class from the beginning of the year, thus feel comfortable teaching them.

Did the learners achieve the outcomes?

What could I have done better?

How can I improve for next time?

Annexure A (PowerPoint)

Annexure B

Wiskundige Geletterdheid (notas)

Graad 10

7 September 2015

Begin met voorbeelde

Leeruitkomstes vir die les:

a) Definieer die konsep Volume

b) Definieer die konsep driedemensioneel

c) Bereken die volume van n reghoekige voorwerp

d) Bereken die volume van n silinder

e) Gee die korrekte formule vir elke vorm

f) Differensieer tussen lengte, breedte en hoogte

Toets vorige kennis:

In die vorige les het ons die Area/Opp bereken van n reghoek, sirkel en driehoek.

Definisie van AREA:

Area is n twee-dimensionele konsep. Die area van n vorm is die hoeveelheid ruimte wat die vorm beslaan/opneem.

Byvoorbeel: Die area wat n stuk hout op die vloer opneem is die grootte van die vloer spasie wat dit oopneem.

Ons werk met twee-dimensies wanneer on area bereken lengte en breedte.

Area word altyd gemeet in eenhede - byvoorbeeld mm, cm, m .

FORMULES VIR DIE BEREKENING VAN OPPERVLAKTE/AREA:

(b)

Area van n reghoek = lengte x breedte

(l)

(r)

Area van n sirkel = r

(b) (h)Area van n driehoek = basis hoogte van driehoek

Annexure C:Nuwe Konsepte Definisies:

Volume

Volume is n driedimensionele kosep. Die volume van n voorwerp is die grootte van die driedimensionele spasie wat n voorwerp opneem of kan behou.

Solide voorwerp?

Die hoeveelheid 3D ruimte wat n voorwerp opneem/beslaan.

Baksteen

Hol voorwerp?

Die kapasiteit (inhoudsmaat) wat die voorverp kan behou.

Glas met water

Wanneer met volume werk, werk mens met 3 dimensies lengte, breedte en hoogte. Volume word altyd gemeet in eenhede - bv. mm, cm, m.

1) Die volume van n reghoekige voorwerp = (area van reghoek) hoogte

= (lengte breedte) hoogte

= l b h

2) Die volume van n silinder = (area van sirkel) hoogte

= ( r) hoogte

= r h

Annexure D

Verdeel in 4 groepe. Elke groep kry 2 reghoekige voorwerpe en 2 silinders. Ons sal dan die volume bereken van elke voorwerp. Neem mates van gegewe voorwerpe.

Die volume van n reghoekige voorwerp = lengte breedte hoogte

(1.)(Bereken antwoorde in mm)

____________________________________________________________________________________________________________________________________

(2.)

__________________________________

__________________________________

__________________________________

__________________________________

Die volume van silinder = r hoogteNB!! = 3,14

(3.)

___________________________________

___________________________________

___________________________________

___________________________________

(4.)Bereken antwoord in cm (Tuna blikkie)

____________________________________

____________________________________

____________________________________

____________________________________

(Group activity MEMO)

Verdeel in 4 groepe. Elke groep kry 2 reghoekige voorwerpe en 2 silinders. Ons sal dan die volume bereken van elke voorwerp. Vra leerders om die mates te neem van elke voorwerp doen voorbeelde saam met hul op die bord.

(1.)Die volume van n reghoekige voorwerp = lengte breedte hoogte (Bereken antwoord in mm)

(15mm) = l b h

(30mm) = 90mm 30mm 15mm

(90mm ) = 40 500

(2.)

(29mm)= l b h

= 60mm 29mm 29mm

(29mm) = 50 460

(60mm )

Die volume van silinder = r hoogteNB!! = 3,14

(3.) (1.)

= r h

(Radius = 13,5mm) (60mm ) = 3,14(13,5) 60mm = 34335,9

34 336

( 27mm )

(4.)

Bereken antwoord in cm.

(h 3,5cm) = r h

= 3,14(4.25) 3,5

= 198,5068

( 8,5cm ) (Radius = 4,25cm) 199

Annexure E

Worksheet 7 September 2015

Volume Graad 10

Beantwoord die volgende vrae:

1. Definieer die konsep Volume

________________________________________________________________________________________________________________________________________________

2. Wat beteken die konsep drie-dimensioneel?

________________________________________________________________________________________________________________________________________________

Annexure F

Question and answer

Questions asked:

Definieer die konsep area/opp

Definieer die konsep volume

Gee die korrekte formule om die volume van n reghoekige prisma te bereken

Gee die korrekte formule om die volume van n silinder te bereken

Differensieer tussen lengte, breedte en hoogte

Oefening-Volume

Berekendie volume van elk van die volgendevoorwerpe.

7.1cm4 cm5.5 cm45 cm25 cm9 cm6cm19 cmd= 7 cmh= 10.5 cmr = 5cmh = 16cma.b.c.d.e.f.

Oefening - Volume

Bereken die volume van elk van die volgende voorwerpe.

7.1cm

4 cm

5.5 cm

45 cm

25 cm

9 cm

6 cm

19 cm

35 cm

35 cm

47 cm

d= 7 cm

h= 10.5 cm

r = 5cm

h = 16cm

a.

b.

c.

d.

e.

f.