𝑳𝒆𝒔𝒔𝒐𝒏 𝑷𝒍𝒂𝒏

𝑭𝒐𝒓

𝑭𝒐𝒓

𝑭𝒊𝒓𝒔𝒕 𝑻𝒆𝒓𝒎
( 𝟐𝟎𝟏𝟓 − 𝟐𝟎𝟏𝟔 )

𝑻𝒆𝒂𝒄𝒉𝒆𝒓 𝒏𝒂𝒎𝒆
𝑴𝒓/ … … … … … … … … … … … ..

𝑺𝒖𝒑𝒆𝒓𝒗𝒊𝒔𝒐𝒓
𝑴𝒓/ 𝑺𝒂𝒊𝒅 𝑵𝒂𝒔𝒓

𝑷𝒓𝒊𝒏𝒄𝒊𝒑𝒂𝒍
𝑴𝒓/

(1)
 3rdprep
Mathematics 2015-2016
Distribution of the syllabus of ( Algebra )
(1 period) first term

Months Algebra
 Cartesian product
 Relations
Sep. Oct.
 Functions
2015
 polynomial function.
 Ratio
 Proportion.
Nov.
 Continued proportional.
2015
 Variation

Statistics
Dec.
 Collecting data.
2015
 Dispersion.

Jan. 2016 General Exercises and models .

Note: Activities are activated side by side with syllabus according to

comprehensive evaluation.
 Date Domain Time Period Class
rd
/ / 2015 Statistics Min. 3 Prep.
𝑪𝒐𝒍𝒍𝒆𝒄𝒕𝒊𝒏𝒈 𝒅𝒂𝒕𝒂
𝑨𝒊𝒎𝒔:
1 𝑇𝑜 𝑟𝑒𝑐𝑜𝑔𝑛𝑖𝑧𝑒 𝑟𝑒𝑠𝑜𝑢𝑟𝑐𝑒𝑠 𝑜𝑓 𝑐𝑜𝑙𝑙𝑒𝑐𝑡𝑖𝑛𝑔 𝑑𝑎𝑡𝑎.
2 𝑇𝑜 𝑟𝑒𝑐𝑜𝑔𝑛𝑖𝑧𝑒 𝑚𝑒𝑡ℎ𝑜𝑑𝑠 𝑜𝑓 𝑐𝑜𝑙𝑙𝑒𝑐𝑡𝑖𝑛𝑔 𝑑𝑎𝑡𝑎.
3 𝑇𝑜 𝑟𝑒𝑐𝑜𝑔𝑛𝑖𝑧𝑒 ℎ𝑜𝑤 𝑡𝑜 𝑠𝑒𝑙𝑒𝑐𝑡 𝑎 𝑠𝑎𝑚𝑝𝑙𝑒.
4 𝑇𝑜 𝑟𝑒𝑐𝑜𝑔𝑛𝑖𝑧𝑒 𝑡𝑦𝑝𝑒𝑠 𝑜𝑓 𝑠𝑎𝑚𝑝𝑙𝑒𝑠.
𝑷𝒓𝒆𝒗𝒊𝒐𝒖𝒔 𝒓𝒆𝒒𝒖𝒊𝒓𝒆𝒎𝒆𝒏𝒕 𝒇𝒐𝒓 𝒔𝒕𝒖𝒅𝒆𝒏𝒕:
𝐼𝑓 𝑦 ∝ √𝑥 , 𝑦 = 5 𝑤ℎ𝑒𝑛 𝑥 = 1. 𝑓𝑖𝑛𝑑: 𝑡ℎ𝑒 𝑟𝑒𝑙𝑎𝑡𝑖𝑜𝑛 𝑏𝑒𝑡𝑤𝑒𝑒𝑛 𝑦 𝑎𝑛𝑑 𝑥.
𝑬𝒅𝒖𝒄𝒂𝒕𝒊𝒐𝒏𝒂𝒍 𝒂𝒏𝒅 𝒕𝒆𝒄𝒉𝒏𝒐𝒍𝒐𝒈𝒊𝒄𝒂𝒍 𝒓𝒆𝒔𝒐𝒖𝒓𝒄𝒆𝒔:
𝑆𝑡𝑢𝑑𝑒𝑛𝑡 𝑏𝑜𝑜𝑘 + 𝐴𝑐𝑡𝑖𝑣𝑒 𝑏𝑜𝑎𝑟𝑑.
𝑳𝒆𝒂𝒓𝒏𝒊𝒏𝒈 𝒔𝒕𝒓𝒂𝒕𝒆𝒈𝒊𝒆𝒔:
1) 𝐵𝑟𝑎𝑖𝑛 𝑠𝑡𝑜𝑟𝑚𝑖𝑛𝑔.
2) 𝐶𝑜𝑜𝑝𝑒𝑟𝑎𝑡𝑖𝑣𝑒 𝑙𝑒𝑎𝑟𝑛𝑖𝑛𝑔.
𝑬𝒅𝒖𝒄𝒂𝒕𝒊𝒐𝒏𝒂𝒍 𝒔𝒕𝒆𝒑𝒔:
𝑯. 𝑨.
𝑺𝒕𝒖𝒅𝒆𝒏𝒕 𝒃𝒐𝒐𝒌 𝒑𝒂𝒈𝒆 𝟒𝟎 𝒏𝒖𝒎𝒃𝒆𝒓 𝟏, 𝟐 𝒂𝒏𝒅 𝟑.
 Date Domain Time Period Class
rd
/ / 2015 Statistics Min. 3 Prep.
𝑫𝒊𝒔𝒑𝒆𝒓𝒔𝒊𝒐𝒏
𝑨𝒊𝒎𝒔:
1 𝑇𝑜 𝑟𝑒𝑐𝑜𝑔𝑛𝑖𝑧𝑒 𝑐𝑒𝑛𝑡𝑟𝑎𝑙 𝑡𝑒𝑛𝑑𝑒𝑛𝑐𝑦 𝑚𝑒𝑎𝑠𝑢𝑟𝑒𝑚𝑒𝑛𝑡 (𝑚𝑒𝑎𝑛 , 𝑚𝑒𝑑𝑖𝑎𝑛 𝑎𝑛𝑑 𝑚𝑜𝑑𝑒)
2 𝑇𝑜 𝑟𝑒𝑐𝑜𝑔𝑛𝑖𝑧𝑒 𝑑𝑖𝑠𝑝𝑒𝑟𝑠𝑖𝑜𝑛.
3 𝑇𝑜 𝑟𝑒𝑐𝑜𝑔𝑛𝑖𝑧𝑒 𝑑𝑖𝑠𝑝𝑒𝑟𝑠𝑖𝑜𝑛 𝑚𝑒𝑎𝑠𝑢𝑟𝑒𝑚𝑒𝑛𝑡 (𝑟𝑎𝑛𝑔𝑒 𝑎𝑛𝑑 𝑠𝑡𝑎𝑛𝑑𝑎𝑟𝑑 𝑑𝑒𝑣𝑖𝑎𝑡𝑖𝑜𝑛)
𝑷𝒓𝒆𝒗𝒊𝒐𝒖𝒔 𝒓𝒆𝒒𝒖𝒊𝒓𝒆𝒎𝒆𝒏𝒕 𝒇𝒐𝒓 𝒔𝒕𝒖𝒅𝒆𝒏𝒕:

𝑬𝒅𝒖𝒄𝒂𝒕𝒊𝒐𝒏𝒂𝒍 𝒂𝒏𝒅 𝒕𝒆𝒄𝒉𝒏𝒐𝒍𝒐𝒈𝒊𝒄𝒂𝒍 𝒓𝒆𝒔𝒐𝒖𝒓𝒄𝒆𝒔:

𝑆𝑡𝑢𝑑𝑒𝑛𝑡 𝑏𝑜𝑜𝑘 + 𝐴𝑐𝑡𝑖𝑣𝑒 𝑏𝑜𝑎𝑟𝑑.
𝑳𝒆𝒂𝒓𝒏𝒊𝒏𝒈 𝒔𝒕𝒓𝒂𝒕𝒆𝒈𝒊𝒆𝒔:
1) 𝐵𝑟𝑎𝑖𝑛 𝑠𝑡𝑜𝑟𝑚𝑖𝑛𝑔.
2) 𝐶𝑜𝑜𝑝𝑒𝑟𝑎𝑡𝑖𝑣𝑒 𝑙𝑒𝑎𝑟𝑛𝑖𝑛𝑔.
𝑬𝒅𝒖𝒄𝒂𝒕𝒊𝒐𝒏𝒂𝒍 𝒔𝒕𝒆𝒑𝒔:
 Date Domain Time Period Class
rd
/ / 2015 Statistics Min. 3 Prep.

𝑨𝒊𝒎𝒔:
𝑇𝑜 𝑐𝑎𝑙𝑐𝑢𝑙𝑎𝑡𝑒𝑡ℎ𝑒 𝑠𝑡𝑎𝑛𝑑𝑎𝑟𝑑 𝑑𝑒𝑣𝑖𝑎𝑡𝑖𝑜𝑛 𝑡𝑜 𝑎 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 𝑑𝑖𝑠𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛
𝑷𝒓𝒆𝒗𝒊𝒐𝒖𝒔 𝒓𝒆𝒒𝒖𝒊𝒓𝒆𝒎𝒆𝒏𝒕 𝒇𝒐𝒓 𝒔𝒕𝒖𝒅𝒆𝒏𝒕:

𝑬𝒅𝒖𝒄𝒂𝒕𝒊𝒐𝒏𝒂𝒍 𝒂𝒏𝒅 𝒕𝒆𝒄𝒉𝒏𝒐𝒍𝒐𝒈𝒊𝒄𝒂𝒍 𝒓𝒆𝒔𝒐𝒖𝒓𝒄𝒆𝒔:

𝑆𝑡𝑢𝑑𝑒𝑛𝑡 𝑏𝑜𝑜𝑘 + 𝐴𝑐𝑡𝑖𝑣𝑒 𝑏𝑜𝑎𝑟𝑑.
𝑳𝒆𝒂𝒓𝒏𝒊𝒏𝒈 𝒔𝒕𝒓𝒂𝒕𝒆𝒈𝒊𝒆𝒔:
1) 𝐵𝑟𝑎𝑖𝑛 𝑠𝑡𝑜𝑟𝑚𝑖𝑛𝑔.
2) 𝐶𝑜𝑜𝑝𝑒𝑟𝑎𝑡𝑖𝑣𝑒 𝑙𝑒𝑎𝑟𝑛𝑖𝑛𝑔.
𝑬𝒅𝒖𝒄𝒂𝒕𝒊𝒐𝒏𝒂𝒍 𝒔𝒕𝒆𝒑𝒔:
 𝑳𝒆𝒔𝒔𝒐𝒏 𝑷𝒍𝒂𝒏
𝑭𝒐𝒓

𝑭𝒐𝒓

𝑭𝒊𝒓𝒔𝒕 𝑻𝒆𝒓𝒎
( 𝟐𝟎𝟏𝟓 − 𝟐𝟎𝟏𝟔 )

𝑻𝒆𝒂𝒄𝒉𝒆𝒓 𝒏𝒂𝒎𝒆
𝑴𝒓/ … … … … … … … … … … … ..

𝑺𝒖𝒑𝒆𝒓𝒗𝒊𝒔𝒐𝒓
𝑴𝒓/ 𝑺𝒂𝒊𝒅 𝑵𝒂𝒔𝒓

𝑷𝒓𝒊𝒏𝒄𝒊𝒑𝒂𝒍
𝑴𝒓/

(2)
 3 prep.
rd

Mathematics 2015 - 2016

Distribution of the syllabus of mathematics
First term (Geometry) (1 period)

Months Geometry
Trigonometry
 Main trigonometrical ratios of the acute angle.
Sep. Oct.  Main trigonometrical ratios of some Special angles
2015 (30 , 60 , 45 )
 Finding the measure of an angle by given one
of its trigonometric ratio.
Analytic geometry
 The distance between two points.
 Coordinates of a midpoint of a line segment.
Nov.
 The slope of a straight line.
2015
 Equation of straight line.
 Relation between two slopes of two straight lines:
(parallel-perpendicular)
Continue straight line.
Dec.
The equation of a straight line given its slope and
2015
intercepted part of Y- axis .
Jan. 2016 General Exercises and models .
Note: Activities are activated side by side with syllabus according to
comprehensive evaluation.
Mathematics Department Lesson Plan
UNIT(4) : Trigonometry LESSON(1)
Title : The Main Trig. Ratios for an acute angle
Grade Domain Time Period Date Place
3rd prep Math Class

Objectives : By the end of this lesson Students Should be able to :

1) Recognize the ratios between the side lengths of a right-angled triangle
2) Recognize the circular measure of an angle
3) Use Sci. Calculator to convert ( min. & sec. ) into degrees & vice versa
4) Recognize the ( adjacent-opposite-hypotenuse ) sides in a right-angled ∆.
5) Recognize the main Trig. Ratios of an acute angle .

Resources : School book – work sheets

Technological Aids : ACTIVE BOARD − SCI. CALCULATOR

 : Activity (1) :  ( 5 minutes )

Use the calculator to convert the following angles into degrees :

i) 76° 16’ ii) 45° 3’ 56’’
iii) 85° 38’ 8’’ iv) 65° 23’ 43’’

 : Activity (2) :  ( 5 minutes )

Use the calculator to convert the following angles into (deg.,min.,sec.) :

i) 34.6° ii) 78.08°
iii) 56.18° iv) 83.246°

Procedures : In any right-angled triangle : ( 10 minutes )

opposite adjacent
1) Sine ( an angle ) = 2) Cosine ( an angle ) =
hypotenuse hypotenuse
opposite
3) Tan ( an angle ) = Hyp
adjacent
opposite
Where the measure of the angle is < 90°

adjacent
3rd Prep-Trigonometry-1st Term (1) Best Wishes
Mathematics Department Lesson Plan
In ∆ABC : the trig. Ratios for the angle ∠C are : A

AB BC
1) Sin (C) = 2) Cos(C) =
AC AC
AB
3) Tan (C) =
BC
B C
Drill : Complete : the trig. Ratios for the angle A are :
... ... ...
1) Sin (A) = 2) Cos(A) = 3) Tan (A) =
... ... ...

 -: Examples :-  ( 45 minutes )
Ex(1): ABC is a right-angled triangle at C , AC = 13 cm , AB = 12 cm :
1) Find : the length of AC
2) Find : Sin (A) , Cos (A) , Tan (A) , Sin (B) , Cos (B) , Tan (B)
3) Prove that : Sin (A) Cos (B) + Cos (A) Sin (B) = 1
4) Find : 1 + Tan2 (A)
-: Solution :-
® Hint:ØDiscuss the rule for each (trig. Ratio)
ØStudents should compare ( each trig. Ratio) with ( 1 )
ØStudents could prove that : ( Sin2 (B) + Cos2 (B) = 1 )

Drill: ABC is a triangle in which AB = AC = 10 cm , BC = 12 cm . If AD ⊥ BC ,

AD ∩ BC = { D } , then :
1) Find : sin (CAD) , cos (CAD) , tan (CAD)
2) Prove that : (i) sin2 C + cos2 C = 1 (ii) sin B + cos C > 1

Ex(2): ABC is a right-angled triangle at B , if 2 AB = 3 AC :

Find : the main trig. Ratios of ∠C

-: Solution :-

Ex(3): XYZ is a right-angled triangle at Y, where XY = 5 cm , XZ = 13 cm, find the value of :

i) tan x + tan Z ii) cos C cos Z − sin C cos Z
iii) sin C cos Z − cos C sin Z

-: Solution :-

3rd Prep-Trigonometry-1st Term (2) Best Wishes

Mathematics Department Lesson Plan

UNIT(4) : Trigonometry LESSON(1)

Title : The Main Trig. Ratios for an acute angle
Grade Domain Time Period Date Place
rd
3 prep Math Class
Objectives : By the end of this lesson Students Should be able to :
1) Recognize the ratios between the side lengths of a right-angled triangle
2) Recognize the circular measure of an angle
3) Use Sci. Calculator to convert ( min. & sec. ) into degrees & vice versa
4) Recognize the ( adjacent-opposite-hypotenuse ) sides in a right-angled ∆.
5) Recognize the main Trig. Ratios of an acute angle .

Resources : School book – work sheets

Technological Aids : ACTIVE BOARD − SCI. CALCULATOR

Ex(4): ABCD is an isosceles trapezoid where AD // BC , AD = 4 cm , AB = 5 cm ,

5 tan B cos C
BC = 12 cm . Prove that : =3
sin2 C + cos 2 B
-: Solution :-

Evaluation : ( 25 minutes )
1) XYZ is a right-angled triangle at Z , where XZ = 7 cm , XY = 25 cm, find the value of
i) tan X × tan Y ii) sin2 X + cos2 Y

2) ABC is a triangle , where m(∠A) = 90°, AC= 15 cm , AB = 20 cm

Prove that cos C cos B − sin C sin B = Zero

4
3) ABC is a right-angled triangle at B , if sin C = , find :
5
i) cos C , tan C ii) sin A , cos A , tan A

4) If the ratio between the measures of the angles of a triangle is : 3 : 4 : 7 , find the circular
measure for each angle .
H.W:
rd st
3 Prep-Trigonometry-1 Term (3) Best Wishes
Mathematics Department Lesson Plan
UNIT(4) : Trigonometry LESSON(2)
Title : (1st) : The Main Trig. Ratios for some special angles
Grade Domain Time Period Date Place
3rd prep Math Class

Objectives : By the end of this lesson Students Should be able to :

1) Recognize the ratio between the side lengths of a ( 30°-60°) triangle
2) Recognize the ( the main Trig. Ratios ) a ( 30°-60°) triangle
3) Solve problems on the ( Trig. Ratios ) of a ( 30°-60°) triangle
4) Find an angle if its ( Trig. Ratio ) is given

Resources : School book – work sheets

Technological Aids : ACTIVE BOARD − SCI. CALCULATOR

 : Activity (1) :  ( 10 minutes )

ABC is an equilateral ∆ of side length ( 2 L ), AD ┴ BC ,complete :
i) m(∠B) = …..° ii) m(∠BAD) = …..° A
iii) BD =….. iv) AD =…..
v) BD : AB : AD =….. : ….. : ….. ( divide all by L ) 30°
vi) BD : AB : AD =….. : ….. : …..
So
Sin 30° = , Cos 30° = 60°
C 2L
Tan 30° = B
Sin 60° = , Cos 60° = Sin 60° =

Procedures : ( 5 minutes )

 sin 30° =  cos 30° =  tan 30° =

 sin 60° =  cos 60° =  tan 60° =
 What do you notice ?

3rd Prep-Trigonometry-1st Term (4) Best Wishes

 Mathematics Department Lesson Plan
 : Drill :  ( 5 minutes )
Complete :
i) sin 30° = cos …… ii) sin 60° = cos ……
iii) tan 30° = …… cos 30°= sin ……°

 : Activity (2) :  ( 10 minutes )

ABC is an isosceles right-angled ∆ at C of side length ( 2 L ) ,complete :

i) m(∠A) = …..° ii) m(∠B) = …..° A
iii)  (AB)2 = (AC)2 + ( ….. )2 ∴ AB =…..
L
iv) AC : BC : AB = …… : …… : .….. ( divide all by L )

∴ AC : BC : AB = …… : …… : …… So
B L C
 sin 45° =  cos 45° =  tan 45° =
B
 : Drill :  ( 10 minutes )
Complete the following table :

30° 45° 60°

sin
cos
tan

We deduce that :

The ( Sine ) of any angle equals the ( Cosine ) of its ( complementary angle ) & vice versa
 For any angle (A) : Tan A =
: Examples :  ( Group Work ) ( 45 minutes )
Ex(1): Find the value of each of the following :
i) Cos 60° sin 30° – sin 60° tan 60° + cos2 °
Cos2 60° + Cos2 30° + Tan2 45°
ii)
Sin 60° Tan 60° - Sin 30°

-: Solution :-

3rd Prep-Trigonometry-1st Term (5) Best Wishes

 Mathematics Department Lesson Plan
UNIT(4) : Trigonometry LESSON(2)
Title : (1st) : The Main Trig. Ratios for some special angles
Grade Domain Time Period Date Place
3rd prep Math Class

Objectives : By the end of this lesson Students Should be able to :

1) Recognize the ratio between the side lengths of a ( 30°-60°) triangle
2) Recognize the ( the main Trig. Ratios ) a ( 30°-60°) triangle
3) Solve problems on the ( Trig. Ratios ) of a ( 30°-60°) triangle
4) Find an angle if its ( Trig. Ratio ) is given

Resources : School book – work sheets

Technological Aids : ACTIVE BOARD − SCI. CALCULATOR

 : Drill :  : Prove that :

i) sin2 30° = 5 Cos3 60° - tan2 45°
ii) tan2 60° - tan2 30° = ( 1 + tan 60° tan 30° ) ÷ Cos2 30°
-: Solution :-

Ex(2): Find each of the following trigonometrical ratios :

°
i) sin 43° ii) Cos 53 28’ iii) tan 64° 37’ 49’’
Rounding the answer to the nearest 4 decimal places .
-: Solution :-

Title : (2nd) : Finding an angle given its ( Trig. Ratio )

Ex(3): Find m(∠E) in each of the following cases :

i) sin E = 0.6 ii) Cos E = 0.6217 iii) tan E = 1.0823
-: Solution :-
® Hint:Øi) m(∠E) : Shift Sin 0.6 =  

3rd Prep-Trigonometry-1st Term (6) Best Wishes

 Mathematics Department Lesson Plan
Ex(4): ABC is an isosceles where AB = AC = 8 cm , BC = 12 cm . Find :
i) m(∠B)
ii) The area of the triangle's surface ( to the nearest 2 decimal places )

-: Solution :-
® Hint:ØDraw AD ┴ BC , then BD = DC = 4 cm

Ex(5): ABCD is a parallelogram of s. area 96 cm2 , BE : EC = 1 : 3 , AE ⊥ BC ,

AE = 8 cm . Find : i) the length of AD ii) m(∠B)
iii) the length of AB ( to the nearest 1 decimal )
-: Solution :-

H.W :

3rd Prep-Trigonometry-1st Term (7) Best Wishes

Mathematics Department Lesson Plan
UNIT(4) : Analytic Geometry LESSON(1) :
Title : The Distance Between 2 Points
Grade Domain Time Period Date Place
3rd prep Math Class

Objectives : By the end of this lesson Students Should be able to :

1) Represent any point in the plane
2) Find the distance between any 2 points in the plan
3) Solve geometrical & life applications using the rule of distance between 2 points
4)Determine the conditions for 3 points to be ( collinear )
5)Determine the conditions for 3 points to form ( Acute – Right - Obtuse )-angled
triangle .
6)Determine the conditions for 3 points to lie on a circle .
7)Determine the conditions for 4 points to form
a ( Parallelogram – Rectangle – Rhombus - Square ) .
Resources : School book – work sheets
 : Activity (1) :  ( 10 minutes )
Represent the following points in the Cartesian plane R×R , then find
the distance between each pair :
i) A (3,0) , B (-1,0)
ii) C (0,-3) , D (0,-1)
iii) E (3,2) , F(7,5)

Tecnological Aids : ACTIVE BOARD

Procedures : ( 5 minutes )
If M (x 1 ,y 1 ) & N (x 2 ,y 2 ) are 2 points in the plane , then

The distance MN = (x 2 - x1 )2 + (y2 - y1 )2

 The distance between A (x 1 ,y 1 ) & the origin point O (0,0) is : AO =

x12 + y12

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Mathematics Department Lesson Plan

 : Activity (2) :  ( 10 minutes )

If A , B , C , D are 4 points in the Cartesian plane R×R , then what are
the conditions that make these points the vertices of :
I) a parallelogram II) a rectangle
III) a rhombus IV) a square

 -: Examples :-  ( 45 minutes )
Ex(1): If ABCD is a quadrilateral in which A (2,4) ,B (-3,0) ,C (-7,5) ,D (-2,9),
then : Prove that ABCD is a square
-: Solution :-

® Hint:ØDiscuss if there are other solutions

ØStudents can draw the figure in the plane to verify their solution

Ex(2): Prove that ∆ABC is right-angled if A (1,4) ,B (-1,-2) ,C (2,-3), then find
it′s surface area
-: Solution :-

® Hint:ØDiscuss the converse of Pythagoras theorem

ØDiscuss the rule of area of a triangle
ØStudents can draw the figure in the plane to verify their solution

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Mathematics Department Lesson Plan

UNIT(4) : Analytic Geometry LESSON(1) :

Title : The Distance Between 2 Points
Grade Domain Time Period Date Place
3rd prep Math Class

Objectives : By the end of this lesson Students Should be able to :

1) Represent any point in the plane
2) Find the distance between any 2 points in the plane
3) Solve geometrical & life applications using the rule of distance
between 2 points
4) Determine the conditions for 3 points to be ( collinear )
5) Determine the conditions for 3 points to form ( Acute – Right - Obtuse )-angled triangle
.
6) Determine the conditions for 3 points to lie on a circle .
7) Determine the conditions for 4 points to form
a ( Parallelogram – Rectangle – Rhombus - Square ) .
Resources : School book – work sheets
Ex(3): Prove that the points A (3,-1) ,B (4,6) ,C (2,-2) , lie on a circle of
centre M , where M (-1,2) , then find it′s circumference
Solution :-
® Hint:ØDiscuss the conditions for 3 points to form a circle
ØDiscuss the rule of circumference of a circle
ØStudents can draw the points in the plane to verify their solution

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Mathematics Department Lesson Plan

Evaluation : ( 20 minutes )

Second : Answer the following Questions

H.W :

3rd Prep-Trigonometry-1st Term ( 11 ) Best Wishes

Mathematics Department Lesson Plan

UNIT(4) : Analytic Geometry LESSON(2) :

Title : The Mid point of a line segment
Grade Domain Time Period Date Place
3rd prep Math Class

Objectives : By the end of this lesson Students Should be able to :

1) Find the coordinates of the midpoint of a line segment
2) Solve geometrical & life applications using the rule of the midpoint of a
line segment
Resources : School book – work sheets
Tecnological Aids : ACTIVE BOARD
 : Activity (1) :  ( 10 minutes )
Represent the following points A & B in the plane R×R , then find the
midpoint C of AB :
i) A (2,6) , B (6,6) ii) A (-2,-5) , B (-2,-1)
iii) A (1,2) , B (5,6)

Procedures : ( 5 minutes )
If A (x 1 ,y 1 ) & B (x 2 ,y 2 ) are 2 points in the plane , then coordinates of the
x1 + x 2 y +y
midpoint C of AB is : ( , 1 2 )
2 2

: Drill :  ( 5 minutes )
Calculate the coordinates of the point C which is the midpoint of AB in each
of the following cases :

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Mathematics Department Lesson Plan
i) A (2,6) , B (6,6) ii) A (-2,-5) , B (-2,-1)
iii) A (1,2) , B (5,6) iv) A (-2,-5) , B (-2,-1)

 -: Examples :-  ( 45 minutes )
Ex(1): If C (6,-4) is the midpoint of AB where A (5,-3) , then find the
coordinates of the point B
-: Solution :-

Ex(2): ABCD is a parallelogram in which A (3,2), B (4,-5) , C (0,-3) , then find

the coordinates of the intersection point of it′s diagonals , then find the
coordinates of the point D
-: Solution :-
® Hint:ØDiscuss the property of the parallelogram′s diagonals

Ex(3): If C is midpoint of AB , then find ( x ) & ( y ) in each of the following

cases :
i) A (1,5) , B (3,7) , C (x,y) ii) A (x,-6) , B (9,-11) , C (-3,y)
iii) A (x,3) , B (6,y) , C (6,4) iv) A (-3,y) , B (9,11) , C (x,-3)
-: Solution :-

Ex(4): ABCD is a parallelogram in which A (3,4), B (2,-1) , C (-4,-3) , find

the coordinates of the point D .Take E ∈ AD where AE = 2 AD , find the
coordinates of the point E ?
-: Solution :-

Evaluation : ( 20 minutes )

 The pupils of your class

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Mathematics Department Lesson Plan

UNIT(4) : Analytic Geometry LESSON(2) :

Title : The Mid point of a line segment
Grade Domain Time Period Date Place
3rd prep Math Class

Objectives : By the end of this lesson Students Should be able to :

1) Find the coordinates of the midpoint of a line segment
2) Solve geometrical & life applications using the rule of the midpoint of a
line segment
Resources : School book – work sheets
Tecnological Aids : ACTIVE BOARD
Second : Answer the following questions :

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Mathematics Department Lesson Plan

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Mathematics Department Lesson Plan
UNIT(4) : Analytic Geometry LESSON(2) :
Title : The Mid point of a line segment
Grade Domain Time Period Date Place
3rd prep Math Class

Objectives : By the end of this lesson Students Should be able to :

1) Find the coordinates of the midpoint of a line segment
2) Solve geometrical & life applications using the rule of the midpoint of a
line segment
Resources : School book – work sheets
Tecnological Aids : ACTIVE BOARD
1) If A (-1,-1) , B (2,3) , C (6,0) , D (3,-4) are four points in perpendicular plane.
Prove that : AC & BD bisect each other , then determine the type of the
figure ABCD .

2) Prove that : A (-1,-1) , B (2,3) , C (6,0) are the vertices of an obtuse-angled

triangle , then find the coordinates of the point D that makes ABCD a
rhombus , then find it′s surface area

3) Prove that : A (-3,0) , B (3,4) , C (1,-6) are the vertices of an isosceles

triangle of vertex A , then find the length of the perpendicular line segment
from A to BC

H.W :

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Mathematics Department Lesson Plan
UNIT(4) : Analytic Geometry LESSON(3) :
Title : The Slope Of The Straight Line
Grade Domain Time Period Date Place
3rd prep Math Class

Objectives : By the end of this lesson Students Should be able to :

1) Find the slope of the st.line passing through 2 given points
2) Recognize the ( +ve & -ve ) measure of an angle
3) Recognize the ( Slope ) of a st.line as the ( Tangent ) of the ( +ve ) angle
between the st.line & the (+ve) direction of the X-axis
4) Find the slope of the st.line using the ( Tan θ )
5) Solve geometrical & life applications using the rule of the midpoint of a
line segment
Resources : School book – work sheets
Tecnological Aids : ACTIVE BOARD
 : Activity (1) :  ( 10 minutes )

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Mathematics Department Lesson Plan
Procedures : ( 10 minutes )

UNIT(4) : Analytic Geometry LESSON(3) :

3rd Prep-Trigonometry-1st Term ( 18 ) Best Wishes
Mathematics Department Lesson Plan
Title : The Slope Of The Straight Line
Grade Domain Time Period Date Place
3rd prep Math Class

Objectives : By the end of this lesson Students Should be able to :

1) Find the slope of the st.line passing through 2 given points
2) Recognize the ( +ve & -ve ) measure of an angle
3) Recognize the ( Slope ) of a st.line as the ( Tangent ) of the ( +ve ) angle
between the st.line & the (+ve) direction of the X-axis
4) Find the slope of the st.line using the ( Tan θ )
5) Solve geometrical & life applications using the rule of the midpoint of a
line segment
Resources : School book – work sheets
Tecnological Aids : ACTIVE BOARD
: Drill :  ( 10 minutes )

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Mathematics Department Lesson Plan

( 10 minutes )

: Drill :  ( 20 minutes )

3rd Prep-Trigonometry-1st Term ( 20 ) Best Wishes

Mathematics Department Lesson Plan
UNIT(4) : Analytic Geometry LESSON(3) :
Title : The Slope Of The Straight Line
Grade Domain Time Period Date Place
3rd prep Math Class

Objectives : By the end of this lesson Students Should be able to :

1) Find the slope of the st.line passing through 2 given points
2) Recognize the ( +ve & -ve ) measure of an angle
3) Recognize the ( Slope ) of a st.line as the ( Tangent ) of the ( +ve ) angle
between the st.line & the (+ve) direction of the X-axis
4) Find the slope of the st.line using the ( Tan θ )
5) Solve geometrical & life applications using the rule of the midpoint of a
line segment
Resources : School book – work sheets
Tecnological Aids : ACTIVE BOARD

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Mathematics Department Lesson Plan

: Drill :  ( 5 minutes )

Evaluation : ( 20 minutes )

H.W
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