Measurement and Geometry - General Mathematics Course

Running head: MEASUREMENT AND GEOMETRY
MEASUREMENT AND GEOMETRY
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Course
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MEASUREMENT AND GEOMETRY 2
UNIT OUTLINE
Subject: General Mathematics Course: Mathematics Standard Stage 4, Year 8 Number of Weeks: 4,
Unit title: Measurement and Geometry
Key Concepts/ Big Ideas The importance of this learning
 To identify any areas of stage 3 content that may
require to be reviewed so as to meet the
students’ needs.
 To comprehensively cover all mathematical
areas and solve problems related to measurement
and geometry topic
 Helps students develop the ability to recogniz
estimate measures and attributes of different
 Develop the ability to explore various concep
relationships
 Solve measurement and geometry related pro
mathematical strategies and formulas (NSW
(n.d.)a)
Unit context within Scope and Sequence/Purpose Syllabus Outcomes
The whole unit including working mathematically
(WM) – communicating, reasoning and problem
solving) and measurement and geometry (MG) –
length, area, volume, time, right-angled triangles,
properties of geometrical figures and angle
relationships (NSW Education Standards Authority,
(n.d.)b).
MA4-1WM: communicates, connects and interpre
ideas using suitable terminology, symbols and dia
Authority, (n.d.)c)
MA4-2WM: solves mathematical problems by app
techniques
MA4-3WM: uses reasoning to recognize and expl
relationships
MA4-12MG: uses appropriate methods to calculat
perimeters of plane shapes
MA4-13MG: uses appropriate formulas to calcula
quadrilaterals, and converts area between units
MA4-14MG: uses appropriate formulas to calcula
prisms, and converts volume between units
MA4-15MG: performs time calculations involving
zones properly
MA4-16MG: uses Pythagoras’ theorem for calcula
triangle, and also solves other related problems
MA4-17MG: categorizes, defines and uses proper
and determines congruent triangles so as to determ
lengths
MALS-20MG: recognizes time in contexts that are
MALS-21MG: recognizes time and relates it in di
MALS-22MG: reads time and interprets it in diffe
MALS-23MG: measures and calculates time and d
MALS-24MG: organizes how to spend personal ti
scheduled activities
MALS-25MG: measures and estimates in everyda
MALS-26MG: identifies and uses units for measu
MALS-28MG: chooses and uses different units fo
volume and capacity of different shapes
MALS-29MG: uses formal units for calculating an
MALS-30MG: identifies, matches and categorizes
MALS-31MG: recognizes features of 2D and/or 3
different contexts.

MEASUREMENT AND GEOMETRY 3
Literacy Focus Numeracy Focus ICT Focus D
 Definition and
understanding of terms
such as triangles,
circles, polygons,
perimeter,
circumference, area,
volume, capacity,
angles and time zone
 Formulas for
calculating
perimeter,
circumference,
area, volume
and angles
 Conversion
between units
of length, area
and volume
 Estimating
time needed
for typical
day-to-day
personal
activities
 Using Excel for calculating area,
perimeter, circumference and
volume of different geometrical
shapes and/or objects
 Using online tools for calculating
area, perimeter, circumference
and volume of different
geometrical shapes and/or objects
 Preparing a daily personal
activities schedule
 YouTube clip
 Grad
 Indi
 Grou
Lesson Syllabus Content Teaching and Learning
Strategies including
assessment for learning.
Resources
Lesson
1
Evaluation and
measurement of length
 Pre-test including
quoting estimated
length of classroom
wall, height of shortest
and tallest student in
class, size of book, etc.
 Recap of what the
students learned in
Stage 3, particularly
about dimensions.
 Discussion with
students about the term
length.
 Explain how length is
used in everyday
activities and the
importance of
measuring length
 Give examples of
length measurements,
including perimeters of
different geometrical
shapes
 Meter rule and meter ruler
 Tape measure
 Standard lengths of class items
 Worksheets
 Exit slip
 YouTube clip https://www.youtube.com

MEASUREMENT AND GEOMETRY 4
 Convert length
measurements from
one unit to another
 Conduct group activity
for measuring length of
different items in and
outside the classroom,
including length of
linear, circular, regular
and irregular objects
 Each group makes
presentation of their
findings.
 Allowing students to
ask questions from
their groups.
 Assessment task exam
 Self-reflection by use
of exit slip.
Lesson
2
Measurement and
calculation of area
 Discuss with
students about the
terms such as area
and Pi (π).
 Discuss different
units of area and
how to convert
between area units
 Develop and/or
derive formulas for
calculating area of
different
geometrical shapes
like square,
rectangle, triangle,
circle, cone,
trapezium,
parallelogram,
rhombus, kite, etc.
 Demonstrate how
to calculate area in
Excel
 Compare and
differentiate
between perimeter
and area
 Worksheet on
 Worksheets
 Homework sheet
 Excel
 Calculators
 Pattern shapes
 YouTube clip https://www.youtube.com