Download Teaching Plan 1B

TEACHING PLAN 2B
Stage 8
Learning Objectives
Chapter 13
Trigonometric Ratios
1
• Understand the sine,
cosine and tangent ratios
for angles between 0 to
90
• Explore the properties
and relations of
trigonometric ratios
• Explore the exact value
of trigonometric ratios on
special angles 30, 45
and 60
• Apply trigonometric
ratios to find measures of
2-D figures
Teaching Focus
Let’s Review (p.246)
Suggested No.
of Periods
• Students should be able to find:
- the sine ratios in right-angled
triangles.
- the sine ratios using a
calculator.
- the angles from sine ratios using
a calculator.
- the lengths of sides in
right-angled triangles.
- the angles in right-angled
triangles.
Special Items
0.5 period
• Worksheet 13.0
(Sets 1 & 2)
• Test Bank 13.0
• E Textbook
2 periods
• Additional Examples
13.1 – 13.6
• Worksheet 13.1
(Sets 1 & 2)
• Workbook 13.1
• Ongoing Assessment
Package: Quiz 13.1
• Test Bank 13.1
• E Textbook
• PowerPoint
Presentation
• Inspiring Task 13.1
Exploring the
Meaning of Sine
Ratios (p.247)
• e-Figure Gallery
• Teachers can ask students to
review the properties of similar
triangles.
• Teachers can ask students to
review Pythagoras’ theorem.
13.1 Sine Ratio (pp.246 – 255)
Consolidation &
Assessment
Additional Information
Teaching Plan
2B
Teaching Focus
13.2 Cosine Ratio (pp.256 – 263)
Suggested No.
of Periods
2
• Students should be able to find:
- the tangent ratios in
right-angled triangles.
- the tangent ratios using a
calculator.
- the angles from tangent ratios
using a calculator.
- the lengths of sides in
right-angled triangles.
- the angles in right-angled
triangles.
Special Items
2 periods
• Additional Examples • E Textbook
13.7 – 13.12
• PowerPoint
• Worksheet 13.2
Presentation
(Sets 1 & 2)
• e-Figure Gallery
• Workbook 13.2
• Ongoing Assessment
Package: Quiz 13.2
• Test Bank 13.2
2 periods
• Additional Examples • E Textbook
13.13 – 13.18
• PowerPoint
• Worksheet 13.3
Presentation
(Sets 1 & 2)
• e-Figure Gallery
• Workbook 13.3
• Ongoing Assessment
Package: Quiz 13.3
• Test Bank 13.3
• Students should be able to find:
- the cosine ratios in right-angled
triangles.
- the cosine ratios using a
calculator.
- the angles from cosine ratios
using a calculator.
- the lengths of sides in
right-angled triangles.
- the angles in right-angled
triangles.
13.3 Tangent Ratio (pp.264 – 271)
Consolidation &
Assessment
Additional Information
New Progress in Junior Mathematics 2B
Learning Objectives
Learning Objectives
Teaching Focus
13.4 Trigonometric Ratios of
Some Special Angles
(pp.272 – 276)
Suggested No.
of Periods
3
• Students should be able to find
the sine, cosine or tangent ratio
from a given sine, cosine or
tangent ratio by constructing
right-angled triangles.
Special Items
1 period
• Additional Examples • E Textbook
13.19 – 13.20
• PowerPoint
• Worksheet 13.4
Presentation
(Sets 1 & 2)
• Inspiring Task 13.2
• Workbook 13.4
Exploring the
• Ongoing Assessment
Trigonometric Ratio
Package: Quiz 13.4
30, 45 and 60
(p.272)
• Test Bank 13.4
1 period
• Additional Examples • E Textbook
13.21 – 13.23
• PowerPoint
• Worksheet 13.5
Presentation
(Sets 1 & 2)
• Workbook 13.5
• Ongoing Assessment
Package: Quiz 13.5
• Test Bank 13.5
• Inspiring task 13.2 helps students
explore the exact values of the
trigonometric ratios of 30, 45
and 60 by considering an
isosceles right-angled triangle
and an equilateral triangle.
• Students should be able to make
use of the exact values of the
trigonometric ratios of 30, 45
and 60 to find the value of
expressions and unknowns in
geometric figures.
13.5 Finding Trigonometric
Ratios by Using
Right-Angled Triangles
(pp.277 – 280)
Consolidation &
Assessment
Additional Information
Teaching Plan
2B
Teaching Focus
13.6 Basic Trigonometric
Identities (pp.280 – 286)
Suggested No.
of Periods
4
• Inspiring task 13.4 helps students
explore the trigonometric
identities of complementary
angles by using the algebraic
method.
• Students should be able to use the
trigonometric identities of
complementary angles to simplify
expressions and find values of
them.
Special Items
1 period
• Additional Examples • E Textbook
13.24 – 13.28
• PowerPoint
• Worksheet 13.6
Presentation
(Sets 1 & 2)
• Inspiring Task 13.3
• Workbook 13.6
A. Exploring the
• Ongoing Assessment
Ratio of sin to
Package: Quiz 13.6
cos (p.280)
• Test Bank 13.6
B. Exploring the Sum
of sin2 and cos2
(p.281)
1 period
• Additional Examples • E Textbook
13.29 – 13.31
• PowerPoint
• Worksheet 13.7
Presentation
(Sets 1 & 2)
• Inspiring Task 13.4
• Workbook 13.7
Exploring the
• Ongoing Assessment
Trigonometric
Package: Quiz 13.7
Identities of
Complementary
• Test Bank 13.7
Angles (p.286)
• Inspiring task 13.3 helps students
explore the basic trigonometric
identities by using the algebraic
method.
• Students should be able to use the
basic trigonometric identities to
simplify expressions and find
values of them.
13.7 Trigonometric Identities of
Complementary Angles
(pp.286 – 290)
Consolidation &
Assessment
Additional Information
New Progress in Junior Mathematics 2B
Learning Objectives
Learning Objectives
Teaching Focus
13.8 Proving Simple
Trigonometric Identities
(pp.290 – 293)
Suggested No.
of Periods
Consolidation &
Assessment
Special Items
2 periods
• Additional Examples • E Textbook
13.32 – 13.33
• PowerPoint
• Worksheet 13.8
Presentation
(Sets 1 & 2)
• Workbook 13.8
• Ongoing Assessment
Package: Quiz 13.8
• Test Bank 13.8
2 periods
• Additional Examples • E Textbook
13.34 – 13.36
• PowerPoint
• Worksheet 13.9
Presentation
(Sets 1 & 2)
• Workbook 13.9
• Ongoing Assessment
Package: Quiz 13.9
• Test Bank 13.9
• Students should be able to prove
trigonometric identities.
• Students should be able to
determine whether equations
involving trigonometric ratios are
identities.
Additional Information
5
13.9 Solving Trigonometric
Equations (pp.293 – 295)
• Students should be able to solve
trigonometric equations.
Teaching Plan
2B
Teaching Focus
Enrichment Mathematics – What
Is Special about 0 and 90?
(p.305)
Suggested No.
of Periods
Consolidation &
Assessment
Special Items
0.5 period
• This enrichment introduces the
speciality of 0 and 90 in
trigonometry.
Total:
15 periods
• TSA Supplementary
Exercises 13
• Ongoing Assessment
Package: Formative
Assessment 13
• Open-ended
Questions
Additional Information
New Progress in Junior Mathematics 2B
Learning Objectives
6