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 Volumeb) Explain what is meant by three dimensional c) Calculate the volume of a rectangular prism, cylinder d) Give the correct formula for each shapee) Distinguish between length, breadth and height

Lesson Plan:

Lesson Phase Teacher Activities

Learner Activities

Assessment Strategies

Resources Time

Introduction/ Orientation

Teacher will start of lesson with real life examples.

Draw on learners’ prior knowledge through baseline assessment (See

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

Learners will answer questions and ask questions

Question and answeringOral feedback

Asses learners answers and observe their reaction

PowerPointSummary notesBrick and Glass as example

10 min

Introduction/ Orientation

annexure A and B)

Identify learning outcomes

Introduce new concept and give overview of the lesson.

Teacher will hand out notes.

related to the introduction of the new topic.

Learners will listen attentively.

The learners will receive the notes.

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

. 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 teacherLearners will

PowerPointExtra notesChalkboardPicture Cards

10min

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

divide into groups of 4 and receive the objects.

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 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.

Observation, Question and answering

Picture cardsClass activity

10 min

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

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)

Asses answers learners give for exercise

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 teacher’s 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

WorksheetPowerPoint

10min

Reflection I enjoyed preparing this lesson, as I know the content very well. I’ve 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 eenhede² - byvoorbeeld mm², cm², m² .

FORMULES VIR DIE BEREKENING VAN OPPERVLAKTE/AREA:

Area van ‘n reghoek = lengte x breedte

Area van ‘n sirkel = π × r²

Area van ‘n driehoek = ½ × basis × hoogte van driehoekh

b

b

lr

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 eenhedeᵌ - bv. mmᵌ, cmᵌ, mᵌ.

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

= (π × r²) × hoogte

= πr² × 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

(Bereken antwoorde in mm)

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Die volume van silinder = πr² × hoogte NB!! Π = 3,14

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Bereken antwoord in cm (Tuna blikkie)

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1.

2.

4.

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(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.

Die volume van ‘n reghoekige voorwerp = lengte × breedte × hoogte

(Bereken antwoord in mm)

= l × b × h

= 90mm × 30mm ×15mm

= 40 500mm3

= l × b × h

= 60mm × 29mm ×29mm

= 50 460mm3

Die volume van silinder = πr² × hoogte NB!! Π = 3,14

= πr² × h

= 3,14(13,5)² × 60mm = 34 335,9

≈ 34 336mm3

Bereken antwoord in cm.

1.

30mm

15mm

29mm

29mm

60mm

3.

60mm

27mm

Radius = 13,5mm

4.

= πr² × h

= 3,14(4.25)² × 3,5

= 198,5068…

≈ 199c m3

Annexure E

Worksheet 7 September 2015

Volume Graad 10

Beantwoord die volgende vrae:

1. Definieer die konsep Volume

________________________________________________________________________

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2. Wat beteken die konsep drie-dimensioneel?

________________________________________________________________________

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8,5cm

Radius = 4,25cm

h 3,5cm

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