TEACHING PLAN 3B
Stage 11
Learning Objectives
Chapter 8
Quadrilaterals
1
• Extend the idea of
deductive reasoning to
handle geometric
problems involving
quadrilaterals
• Deduce the properties of
various types of
parallelograms and
special quadrilaterals
• Perform simple proofs
related to parallelograms
• Understand and use the
mid-point theorem and
intercept theorem to find
unknowns
Teaching Focus
Let’s Review (p.26)
Suggested No.
of Periods
• This section introduces the
properties of a kind of
quadrilateral, parallelogram.
• Teachers can use Inspiring Task
8.1 to lead students to explore the
properties of parallelogram.
• Students should be able to solve
problems involving the
applications of different
properties of parallelograms.
Special Items
0.5 period
• Worksheet 8.0
(Sets 1 & 2)
• Test Bank 8.0
• E Textbook
1.5 periods
• Additional Examples
8.1 – 8.3
• Worksheet 8.1
(Sets 1 & 2)
• Workbook 8.1
• Ongoing Assessment
Package: Quiz 8.1
• Test Bank 8.1
• E Textbook
• PowerPoint
Presentation
• E & A Resources
Book: Activity
• Inspiring Task 2.1
Exploring the
Properties of
Parallelograms (p.27)
(include e-Figure
Gallery)
• Teachers can ask students to
review the conditions for
congruent triangles and similar
triangles.
• Teachers can ask students to
review the properties of and
conditions for parallel lines.
8.1 Properties of Parallelograms
(pp.26 – 33)
Consolidation &
Assessment
Additional Information
Teaching Plan
3B
Teaching Focus
8.2 Conditions for Parallelograms
(pp.34 – 39)
2
• This section introduces the
conditions for parallelograms.
• Teachers should remind students
that some of the conditions for
parallelograms are just the
converse of the properties of
parallelograms.
• Teachers can remind students
that sometimes they may need to
prove some other geometric
results first, then use the results
to prove that a quadrilateral is a
parallelogram.
• Teachers may encourage students
to give alternative proofs for a
single question.
Suggested No.
of Periods
1.5 periods
Consolidation &
Assessment
Special Items
• Additional Examples • E Textbook
8.4 – 8.7
• PowerPoint
• Worksheet 8.2
Presentation
(Sets 1 & 2)
• Workbook 8.2
• Ongoing Assessment
Package: Quiz 8.2
• Test Bank 8.2
Additional Information
New Progress in Junior Mathematics 3B
Learning Objectives
Learning Objectives
Teaching Focus
8.3 Rhombuses, Rectangles,
Squares and Trapeziums
(pp.40 – 50)
• Students should be able to solve
problems involving the properties
of rhombuses, rectangles, squares
and trapeziums.
• Teachers also use the Venn
diagram provided on p.46 to
show the relationships between
the special quadrilaterals.
Suggested No.
of Periods
3.5 periods
Consolidation &
Assessment
3
Special Items
Additional Information
• Additional Examples • E Textbook
8.8 – 8.12
• PowerPoint
• Worksheet 8.3
Presentation
(Sets 1 & 2)
• I.T. Worksheets
• Workbook 8.3
• Ongoing Assessment
Package: Quiz 8.3
• Test Bank 8.3
Websites for Teachers
Teachers may use the
interactive program
provided on the following
website to illustrate the
properties of rhombuses.
http://regentsprep.org/REg
ents/math/geometry/GP9/J
avaRhombus.htm
Teachers may use the
interactive program
provided on the following
website to illustrate the
properties of rectangles.
http://regentsprep.org/REg
ents/math/geometry/GP9/J
avaRectangle.htm
Teachers may use the
interactive program
provided on the following
website to illustrate the
properties of isosceles
trapeziums.
http://regentsprep.org/REg
ents/math/geometry/GP9/J
avaTrapezoid.htm
Teaching Plan
3B
Teaching Focus
8.4 Proofs Related to
Parallelograms (pp.50 – 54)
Suggested No.
of Periods
1 period
• Students should be able to
perform proofs related to
rhombuses, rectangles, squares
and trapeziums.
Consolidation &
Assessment
Special Items
• Additional Examples • E Textbook
8.13 – 8.15
• PowerPoint
• Worksheet 8.4
Presentation
(Sets 1 & 2)
• Workbook 8.4
• Ongoing Assessment
Package: Quiz 8.4
• Test Bank 8.4
4
8.5 Mid-point Theorem
(pp.55 – 60)
• Students should be able to apply
mid-point theorem to prove
geometrical results.
• Teachers may remind students
that, although we can easily
observe the results of the
mid-point theorem using the
properties of similar triangles, it
is logically incorrect to use those
properties to prove the mid-point
theorem. The mid-point theorem
is in fact a special case of those
properties.
1.5 periods
• Additional Examples • E Textbook
8.16 – 8.18
• PowerPoint
• Worksheet 8.5
Presentation
(Sets 1 & 2)
• Flash Demonstration
• Workbook 8.5
• Ongoing Assessment
Package: Quiz 8.5
• Test Bank 8.5
Additional Information
New Progress in Junior Mathematics 3B
Learning Objectives
Learning Objectives
5
Suggested No.
of Periods
Consolidation &
Assessment
8.6 Intercept Theorem
(pp.60 – 67)
• Inspiring Task 8.3 leads students
to explore the intercept theorem.
• Teachers may encourage students
to prove the intercept theorem by
other methods.
• Students should be able to solve
problems involving mid-point
theorem and intercept theorem.
1.5 periods
• Additional Examples
8.19 – 8.21
• Worksheet 8.6
(Sets 1 & 2)
• Workbook 8.6
• Ongoing Assessment
Package: Quiz 8.6
• Test Bank 8.6
Enrichment Mathematics – What
Will Happen If Intercepts Are Not
Equal? (p.79)
0.5 period
Teaching Focus
Special Items
Additional Information
• E Textbook
• PowerPoint
Presentation
• E & A Resources
Book: Exploration
• Flash Demonstration
• Inspiring Task 8.3
Exploring the
Intercept Theorem
(p.61)
• E & A Resources
Book: Exploration
• This enrichment provides further
information of intercept theorem.
Teaching Plan
Total:
11.5 periods
• TSA Supplementary
Exercises 8
• Ongoing Assessment
Package: Formative
Assessment 8
• Open-ended
Questions
3B