Download Teaching Plan 1B

TEACHING PLAN 2B
Stage 8
Learning Objectives
Chapter 11
Pythagoras’ Theorem
Teaching Focus
Let’s Review (p.174)
1
• Teachers can ask students to
• Use Pythagoras’
review the meaning of square and
Theorem and its
square roots.
converse to solve
problems
• Students should recall a
right-angled triangle must have
• Recognize and
an interior angle of 90.
appreciate different
proofs of Pythagoras’
• Teachers can ask students to
Theorem including
review the representation of a
those in Ancient China
number line.
• Appreciate the dynamic
element of mathematics
knowledge through
studying the story of the
first crisis of
mathematics
• Recognize the existence
of irrational numbers
and surds
• Explore the
representations of
irrational numbers in the
number line
Suggested No.
of Periods
0.5 period
Consolidation &
Assessment
• Worksheet 11.0
(Sets 1 & 2)
• Test Bank 11.0
Special Items
Additional Information
• E Textbook
Teaching Plan
2B
Teaching Focus
11.1 Pythagoras’ Theorem and Its
Proofs (pp.174 – 183)
2
• Teacher should guide students to
discover the Pythagoras’ theorem
by themselves by working
through the Inspiring task.
• Students should be able to apply
the Pythagoras’ theorem to solve
problems involving right-angled
triangles, perimeters and areas of
figures.
• This section leads Students to
appreciate the Pythagoras’
theorem by showing different
proof of Pythagoras’ theorem.
Suggested No.
of Periods
3 periods
Consolidation &
Assessment
Special Items
• Additional Examples • E Textbook
11.1 – 11.3
• PowerPoint
• Worksheet 11.1
Presentation
(Sets 1 & 2)
• Inspiring Task 11.1
• Workbook 11.1
Investigating the
• Ongoing Assessment
Relationship between
Package: Quiz 11.1
the Three Sides of a
Right-Angled Triangle
• Test Bank 11.1
(p.175)
• IT-Lessons
Using Sketchpad to
Explore the Lengths of
Sides of a
Right-angled Triangle
(p.325)
(include e-Figure
Gallery)
• Animations of Great
Mathematicians
(Pythagoras of Samos)
• Flash Demonstrations
• Inspiring Task 11.2
Exploring the Proof by
Calculating the Area
of a Trapezium
(pp.180  181)
Additional Information
New Progress in Junior Mathematics 2B
Learning Objectives
Learning Objectives
Teaching Focus
11.2 Applications of Pythagoras’
Theorem (pp.184 – 189)
Suggested No.
of Periods
3
• This section introduces the
converse of Pythagoras’ theorem.
• Students should be able to
determine whether a triangle
contains a right angle.
• Students should be able to apply
the converse of Pythagoras’
theorem to solve problems.
Special Items
3 periods
• Additional Examples • E Textbook
11.4  11.6
• PowerPoint
Presentation
• Worksheet 11.2
(Sets 1 & 2)
• Workbook 11.2
• Ongoing Assessment
Package: Quiz 11.2
• Test Bank 11.2
3 periods
• Additional Examples • E Textbook
11.7 – 11.8
• PowerPoint
• Worksheet 11.3
Presentation
(Sets 1 & 2)
• Workbook 11.3
• Ongoing Assessment
Package: Quiz 11.3
• Test Bank 11.3
• Students should be able to apply
the Pythagoras’ theorem to solve
the real-life problems and
problems involving directions.
11.3 Converse of Pythagoras’
Theorem and Its
Applications (pp.189 – 194)
Consolidation &
Assessment
Additional Information
Teaching Plan
2B
Teaching Focus
11.4 Surds and Irrational
Numbers (pp.194 – 196)
Suggested No.
of Periods
2 periods
• Students should be able to
represent surds on a number line.
• Teachers could introduce the
history of the discovery
of 2 caused the first crisis of
mathematics.
4
Enrichment Mathematics – How
Did Pythagoras Prove the
Pythagoras’ Theorem (p.205)
• This enrichment leads students to
explore the method of proving
the Pythagoras’ theorem.
0.5 period
Total:
12 periods
Consolidation &
Assessment
Special Items
• Additional Examples • E Textbook
11.9 – 11.10
• PowerPoint
• Worksheet 11.4
Presentation
(Sets 1 & 2)
• Inspiring Task 11.3
• Workbook 11.4
Surds and Irrational
• Ongoing Assessment
Numbers (p.194)
Package: Quiz 11.4
• Test Bank 11.4
• I.T. Worksheets
• Flash demonstrations
• TSA Supplementary
Exercises 11
• Ongoing Assessment
Package: Formative
Assessment 11
• Open-ended
Questions
Additional Information
New Progress in Junior Mathematics 2B
Learning Objectives