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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 1 | 4 |
Trigonometry
|
Deriving the relation
Sin2 0 + Cos2 0 = 1
|
By the end of the
lesson, the learner
should be able to:
Derive trigonometric identity Sin2 0 + Cos2 0 = 1 |
Practice exercise Advancing BK 4, Ex. 4.1 Ex 4.2, Ex 4.3 |
Charts illustrating the unit circle and right |
KLB Bk 94-95
|
|
| 1 | 5 |
Trigonometry
|
Trigonometric ratios
of the form
y = sin x
y = tan x
y = cos x
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of trigonometric ratios of the form y = sin x y = tan x y = cos x |
Practice exercise KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.4 and 4.5 Patel BK 4, Ex. 4.2 |
Square boards Graph papers |
- KLB Bk4 Pg 96-99 |
|
| 1 | 6 |
Trigonometry
|
Trigonometric ratios
of the form
y = sin x
y = tan x
y = cos x
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of trigonometric ratios of the form y = sin x y = tan x y = cos x |
Practice exercise KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.4 and 4.5 Patel BK 4, Ex. 4.2 |
Square boards Graph papers |
- KLB Bk4 Pg 96-99 |
|
| 1 | 7 |
Trigonometry
|
Graphs of
Trigonometric relations
y = a sin x
y = a cos x
y = a tan x
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of trigonometric relations y = sin x y = cos x y = tan x |
Drawing graphs KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.4 Patel BK 4, Ex. 4.3 |
Square boards Graph papers |
- KLB Bk4 Pg 96-99 |
|
| 2 | 1-2 |
Trigonometry
|
Simple trigonometric
equations, amplitudes,
period, wavelength and
phase angle of
trigonometric function
|
By the end of the
lesson, the learner
should be able to:
Deduce from the graphs y = sin x y = tan x y = cos x The amplitude, wavelength and phase angle |
Practice exercise |
Trigonometric relations Graphs |
KLB Bk 101-102
|
|
| 2 | 3 |
Trigonometry
|
Simple trigonometric
equations, amplitudes,
period, wavelength and
phase angle of
trigonometric function
|
By the end of the
lesson, the learner
should be able to:
Deduce from the graphs y = sin x y = tan x y = cos x The amplitude, wavelength and phase angle |
Practice exercise |
Trigonometric relations Graphs |
KLB Bk 101-102
|
|
| 2 | 4 |
Trigonometry
|
Trigonometry
y = a sin (bx + 0)
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of trigonometric ratios of the form y = a sin (bx + 0) |
Drawing graphs |
Square boards Graph papers |
KLB Bk 102-103
|
|
| 2 | 5 |
Trigonometry
|
Trigonometry
y = a cos (bx + 0)
y = a tan (bx + 0)
|
By the end of the
lesson, the learner
should be able to:
Draw graphs of trigonometric ratios of the form y = a cos (bx + 0) y = a tan (bx + 0) |
Drawing graphs |
Square boards Graph papers |
KLB Bk 103-104
|
|
| 2 | 6 |
Trigonometry
|
Amplitude, period,
wavelength and phase
Phase angles of
trigonometric function
|
By the end of the
lesson, the learner
should be able to:
Deduce the graphs y = a sin (bx + 0) y = a cos (bx + 0) y = a tan (bx + 0) |
Practice exercise |
Trigonometric relations Graphs |
KLB Bk 105-106
|
|
| 2 | 7 |
Trigonometry
|
Amplitude, period,
wavelength and phase
Phase angles of
trigonometric function
|
By the end of the
lesson, the learner
should be able to:
Deduce the graphs y = a sin (bx + 0) y = a cos (bx + 0) y = a tan (bx + 0) |
Practice exercise |
Trigonometric relations Graphs |
KLB Bk 105-106
|
|
| 3 | 1-2 |
Trigonometry
Three Dimensional Geometry |
Solution to simple
Trigonometric
equations
Geometrical properties of common solids |
By the end of the
lesson, the learner
should be able to:
Solve simple trigonometric equations analytically and graphically State the geometric properties of common solids ? Education Plus Agencies |
Practice exercise KLB Pg 4, Ex. 4.3 Advancing BK 4, Ex. 4.6 Patel BK 4, Ex. 4.4 Practice exercise Advancing BK 4, Ex. 5.1 KLB Pg 4, Ex. 5.1 |
Trigonometric relations Graphs 3-D models |
- KLB Bk pg 106-107 |
|
| 3 | 3 |
Three Dimensional
Geometry
|
Skew lines projection
of a line onto a plane
|
By the end of the
lesson, the learner
should be able to:
Identify projection of a line onto a Plane |
Practice exercise Advancing BK 4, Ex. 5.1 KLB Pg 4, Ex. 5.2 |
3-D models |
- KLB BK 4 Pg 107-108 |
|
| 3 | 4 |
Three Dimensional
Geometry
|
Length of a line in 3D
geometry
|
By the end of the
lesson, the learner
should be able to:
Calculate the length between two points in 3D geometry |
Practice exercise Advancing BK 4, Ex. 5.4 |
3-D models |
KLB Bk pg 109-110
|
|
| 3 | 5 |
Three Dimensional
Geometry
|
Angle between a line
and a line
|
By the end of the
lesson, the learner
should be able to:
Identify and calculate the angle between a line and a line |
Practice exercise Advancing BK 4, Ex. 5.4 |
3-D models |
KLB Bk pg 111-112
|
|
| 3 | 6 |
Three Dimensional
Geometry
|
A line and a plane
|
By the end of the
lesson, the learner
should be able to:
Identify and calculate the angle between a line and a plane |
Practice exercise
Advancing BK 4, Ex. 5.3 and 5.4 KLB Pg 4, Ex. 5.1 |
3-D models |
- KLB BK 4 Pg 112-1137 |
|
| 3 | 7 |
Three Dimensional
Geometry
|
A plane and a plane
|
By the end of the
lesson, the learner
should be able to:
Identify and calculate the angle between a line and a plane |
Practice exercise Advancing BK 4, Ex. 5.4 KLB Pg 4, Ex. 5.2 |
3-D models |
- KLB BK 4 Pg 113-118 |
|
| 4 | 1-2 |
Three Dimensional
Geometry
Longitudes and Latitudes |
Angles between skew
lines
Latitudes and longitudes (great and small circle) |
By the end of the
lesson, the learner
should be able to:
Identify and calculate the angle between skew lines Define the great and small circle in relation to a sphere (including the earth) |
Practice exercise Advancing BK 4, Ex. 5.4 KLB Pg 4, Ex. 5.2 Practice exercise Advancing BK 4, Ex. 6.2 KLB Pg 4, Ex. 6.1 |
3-D models Globe Ball |
- KLB BK 4 Pg 118-119 - KLB BK 4 Pg 125-126 |
|
| 4 | 3 |
Longitudes and
Latitudes
|
Latitudes and
longitudes (great and
small circle)
|
By the end of the
lesson, the learner
should be able to:
Define the great and small circle in relation to a sphere (including the earth) |
Practice exercise Advancing BK 4, Ex. 6.2 KLB Pg 4, Ex. 6.1 |
Globe Ball |
- KLB BK 4 Pg 125-126 |
|
| 4 | 4 |
Longitudes and
Latitudes
|
The equator and
Greenwich meridian
|
By the end of the
lesson, the learner
should be able to:
Define the great and small circle in relation to a sphere (including the earth) |
Practice exercise Advancing BK 4, Ex. 6.2 KLB Pg 4, Ex. 6.1 |
Globe Ball |
- KLB BK 4 Pg 126-127 |
|
| 4 | 5 |
Longitudes and
Latitudes
|
The equator and
Greenwich meridian
|
By the end of the
lesson, the learner
should be able to:
Define the great and small circle in relation to a sphere (including the earth) |
Practice exercise Advancing BK 4, Ex. 6.2 KLB Pg 4, Ex. 6.1 |
Globe Ball |
- KLB BK 4 Pg 126-127 |
|
| 4 | 6 |
Longitudes and
Latitudes
|
Longitudes and
Latitudes
Position of a place on
the surface of the earth
|
By the end of the
lesson, the learner
should be able to:
Locate a place on the earth?s surface in terms of latitude and longitude |
Practice exercise Advancing BK 4, Ex. 6.2 KLB Pg 4, Ex. 6.1 |
Globe Ball |
- KLB BK 4 Pg 128-129 |
|
| 4 | 7 |
Longitudes and
Latitudes
|
Radii of small and
great circles
|
By the end of the
lesson, the learner
should be able to:
Establish the relationship between the radii of small and great circles |
Practice exercise Advancing BK 4, Ex. 6.4 KLB Pg 4, Ex. 6.2 |
Globe Ball |
- KLB BK 4 Pg 133-134 |
|
| 5 | 1-2 |
Longitudes and
Latitudes
|
Distance between two
points along the small
and great circle in
nautical miles and
kilometres
Distance in nautical miles and kilometers along a circle of latitude |
By the end of the
lesson, the learner
should be able to:
Calculate the distance between two points along the great circles and small circles (longitudes and latitudes) in nautical miles (nm) and kilometres (km) Calculate the distance in nautical miles and kilometers along a circle of latitude |
Practice exercise Advancing BK 4, Ex. 6.4 KLB Pg 4, Ex. 6.2 Practice exercise Advancing BK 4, Ex. 6.5 KLB Pg 4, Ex. 6.3 |
Globe Ball Globe Ball Calculators |
- KLB BK 4 Pg 130-133 |
|
| 5 | 3 |
Longitudes and
Latitudes
|
Distance in nautical
miles and kilometers
along a circle of latitude
|
By the end of the
lesson, the learner
should be able to:
Calculate the distance in nautical miles and kilometers along a circle of latitude |
Practice exercise Advancing BK 4, Ex. 6.5 KLB Pg 4, Ex. 6.3 |
Globe Ball Calculators |
- KLB BK 4 Pg 130-133 |
|
| 5 | 4 |
Longitudes and
Latitudes
|
Time and longitude
|
By the end of the
lesson, the learner
should be able to:
Calculate time in relation to kilometers per hour |
Practice exercise Advancing BK 4, Ex. 6.5 KLB Pg 4, Ex. 6.3 |
Globe Ball Calculators |
- KLB Bk4Pg141-142 |
|
| 5 | 5 |
Longitudes and
Latitudes
|
Time and longitude
|
By the end of the
lesson, the learner
should be able to:
Calculate time in relation to kilometers per hour |
Practice exercise Advancing BK 4, Ex. 6.5 KLB Pg 4, Ex. 6.3 |
Globe Ball Calculators |
- KLB Bk4Pg141-142 |
|
| 5 | 6 |
Longitudes and
Latitudes
|
Speed in knots and
kilometer per hour
|
By the end of the
lesson, the learner
should be able to:
Calculate speed in knots and kilometer per hour |
Practice exercise Advancing BK 4, Ex. 6.6 KLB Pg 4, Ex. 6.3 |
Real life situation |
- KLB BK 4 Pg 150 |
|
| 5 | 7 |
Longitudes and
Latitudes
|
Speed in knots and
kilometer per hour
|
By the end of the
lesson, the learner
should be able to:
Calculate speed in knots and kilometer per hour |
Practice exercise Advancing BK 4, Ex. 6.6 KLB Pg 4, Ex. 6.3 |
Real life situation |
- KLB BK 4 Pg 150 |
|
| 6 | 1-2 |
Linear Programming
|
Formation of linear
Inequalities
|
By the end of the
lesson, the learner
should be able to:
Form linear inequalities based on real life situations |
Practice exercise Advancing BK 4, Ex. 7.3 KLB BK 4, Ex. 7.1 |
Inequalities |
- KLB BK 4 Pg 151-152 |
|
| 6 | 3 |
Linear Programming
|
Analytical solutions
of linear inequalities
|
By the end of the
lesson, the learner
should be able to:
Analyze solutions of linear inequalities |
Practice exercise Advancing BK 4, Ex. 7.1 KLB BK 4, Ex. 7.2 |
Square boards Graph papers |
- KLB BK 4 Pg 152-155 |
|
| 6 | 4 |
Linear Programming
|
Analytical solutions
of linear inequalities
|
By the end of the
lesson, the learner
should be able to:
Analyze solutions of linear inequalities |
Practice exercise Advancing BK 4, Ex. 7.1 KLB BK 4, Ex. 7.2 |
Square boards Graph papers |
- KLB BK 4 Pg 152-155 |
|
| 6 | 3-4 |
Linear Programming
|
Analytical solutions
of linear inequalities
|
By the end of the
lesson, the learner
should be able to:
Analyze solutions of linear inequalities |
Practice exercise Advancing BK 4, Ex. 7.1 KLB BK 4, Ex. 7.2 |
Square boards Graph papers |
- KLB BK 4 Pg 152-155 |
|
| 6 |
CONTINOUS ASSESSMENT TEST |
|||||||
| 7 | 1-2 |
Linear Programming
|
Solutions of linear
inequalities by graph
|
By the end of the
lesson, the learner
should be able to:
Represent the linear inequalities on a graph |
Representing inequalities in a graph Advancing BK 4, Ex. 7.2 KLB BK 4, Ex. 7.2 |
Square boards |
- KLB BK 4 Pg 151-152 |
|
| 7 | 3 |
Linear Programming
|
Solutions of linear
inequalities by graph
|
By the end of the
lesson, the learner
should be able to:
Represent the linear inequalities on a graph |
Representing inequalities in a graph Advancing BK 4, Ex. 7.2 KLB BK 4, Ex. 7.2 |
Square boards |
- KLB BK 4 Pg 151-152 |
|
| 7 | 4 |
Linear Programming
|
Optimization (include
objective)
|
By the end of the
lesson, the learner
should be able to:
Solve and interpret the optimum solution of the linear inequalities |
Practice exercise Advancing BK 4, Ex. 7.5 KLB BK 4, Ex. 7.3 |
Graph paper |
- KLB BK 4 Pg 152-155 |
|
| 7 | 5 |
Linear Programming
|
Optimization (include
objective)
|
By the end of the
lesson, the learner
should be able to:
Solve and interpret the optimum solution of the linear inequalities |
Practice exercise Advancing BK 4, Ex. 7.5 KLB BK 4, Ex. 7.3 |
Graph paper |
- KLB BK 4 Pg 152-155 |
|
| 7 | 6 |
Linear Programming
|
Application of linear
programming to real
life situation
|
By the end of the
lesson, the learner
should be able to:
Solve and interpret the optimum solution of the linear programming to real life situations |
Practice exercise Advancing BK 4, Ex. 7.5 KLB BK 4, Ex. 7.3 |
Real life situations Square boards Graph paper |
- KLB BK 4 Pg 157-159 |
|
| 7 | 7 |
Linear Programming
|
Application of linear
programming to real
life situation
|
By the end of the
lesson, the learner
should be able to:
Solve and interpret the optimum solution of the linear programming to real life situations |
Practice exercise Advancing BK 4, Ex. 7.5 KLB BK 4, Ex. 7.3 |
Real life situations Square boards Graph paper |
- KLB BK 4 Pg 157-159 |
|
| 8 | 1-2 |
Differentiation
|
Average and
instantaneous rates of
change
|
By the end of the
lesson, the learner
should be able to:
Find out the average rates of change and instantaneous rate of change |
Practice exercise Advancing BK 4, Ex. 8.1 KLB BK 4, Ex. 8.1 |
Square boards Graph paper |
- KLB BK 4 Pg 157-159 |
|
| 8 | 3 |
Differentiation
|
Differentiation
Gradient of a curve at
a point
|
By the end of the
lesson, the learner
should be able to:
Find the gradient of a curve at a point using tangent |
Practice exercise Advancing BK 4, Ex. 8.2 KLB BK 4, Ex. 8.1 |
Square boards Graph paper |
- KLB BK 4 Pg 162-163 |
|
| 8 | 4 |
Differentiation
|
Differentiation
Gradient of a curve at
a point
|
By the end of the
lesson, the learner
should be able to:
Find the gradient of a curve at a point using tangent |
Practice exercise Advancing BK 4, Ex. 8.2 KLB BK 4, Ex. 8.1 |
Square boards Graph paper |
- KLB BK 4 Pg 162-163 |
|
| 8 | 5 |
Differentiation
|
Gradient of y = xn
where n is a positive
interger
|
By the end of the
lesson, the learner
should be able to:
Find the gradient function of the form y = xn (n = positive interger) |
Practice exercise Advancing BK 4, Ex. 8.2 and 8.3 KLB BK 4, Ex. 8.1 |
Square boards Graph paper |
- KLB BK 4 Pg 164-167 |
|
| 8 | 6 |
Differentiation
|
Gradient of y = xn
where n is a positive
interger
|
By the end of the
lesson, the learner
should be able to:
Find the gradient function of the form y = xn (n = positive interger) |
Practice exercise Advancing BK 4, Ex. 8.2 and 8.3 KLB BK 4, Ex. 8.1 |
Square boards Graph paper |
- KLB BK 4 Pg 164-167 |
|
| 8 | 7 |
Differentiation
|
Derivation of a
Polynomial
|
By the end of the
lesson, the learner
should be able to:
Determine the derivate of a polynomial |
Practice exercise Advancing BK 4, Ex. 8.1 KLB BK 4, Ex. 8.1 |
Polynomials |
- KLB BK 4 Pg 170-171 |
|
| 9 | 1-2 |
Differentiation
|
Equations of tangents
And normal to the
Curve
Stationery point |
By the end of the
lesson, the learner
should be able to:
Find the equations of tangents and normals to the curves Sketch a sketch |
Practice exercise Advancing BK 4, Ex. 8.5 KLB BK 4, Ex. 8.2 Practice exercise Advancing BK 4, Ex. 8.6 KLB BK 4, Ex. 8.3 |
Square boards Graph paper |
- KLB BK 4 Pg 174-179 |
|
| 9 |
HALF TERM BREAK |
|||||||
| 10 | 1-2 |
Differentiation
|
Curve sketching
Application of differentiation to calculation of distance velocity and acceleration |
By the end of the
lesson, the learner
should be able to:
Sketch a curve Apply differentiation in calculating distance, velocity and accelaration |
Practice exercise Advancing BK 4, Ex. 8.7 KLB BK 4, Ex. 8.4 Practice exercise Advancing BK 4, Ex. 8.8 KLB BK 4, Ex. 8.5 |
Square boards Graph paper |
- KLB BK 4 Pg 182-183 |
|
| 10 | 3 |
Area Approximations
|
Area by counting
technique
|
By the end of the
lesson, the learner
should be able to:
Relate approximate area of irregular shapes by counting technique |
Practice exercise Advancing BK 4, Ex. 9.1 KLB BK 4, Ex. 9.1 |
Irregular shapes from Maps Tracing papers |
- KLB BK 4 Pg 190-193 |
|
| 10 | 4 |
Area Approximations
|
Area by counting
technique
|
By the end of the
lesson, the learner
should be able to:
Relate approximate area of irregular shapes by counting technique |
Practice exercise Advancing BK 4, Ex. 9.1 KLB BK 4, Ex. 9.1 |
Irregular shapes from Maps Tracing papers |
- KLB BK 4 Pg 190-193 |
|
| 10 | 5 |
Area Approximations
|
Trapezium rule
|
By the end of the
lesson, the learner
should be able to:
Find and derive trapezium rule |
Practice exercise Advancing BK 4, Ex. 9.3 KLB BK 4, Ex. 9.2 |
Square boards Graph paper |
- KLB BK 4 Pg 194-199 |
|
| 10 | 6 |
Area Approximations
|
Area using trapezium
rule
|
By the end of the
lesson, the learner
should be able to:
Apply trapezium rule estimate area under curves |
Practice exercise Advancing BK 4, Ex. 9.4 KLB BK 4, Ex. 9.2 |
Square boards Graph paper |
- KLB BK 4 Pg 195-199 |
|
| 10 | 7 |
Area Approximations
|
Mid ordinate rule
|
By the end of the
lesson, the learner
should be able to:
Derive the mid ordinate rule |
Practice exercise Advancing BK 4, Ex. 9.5 KLB BK 4, Ex. 9.3 |
Square boards Graph paper |
- KLB BK 4 Pg 202-205 |
|
| 11 | 1-2 |
Area Approximations
|
Area by mid ordinate
rule
|
By the end of the
lesson, the learner
should be able to:
Apply mid ordinate rule to approximate area under a curve |
Practice exercise Advancing BK 4, Ex. 9.5 KLB BK 4, Ex. 9.3 |
Real life situations |
- KLB BK 4 Pg 202-205 |
|
| 11 | 3 |
Integration
|
Differentiation
|
By the end of the
lesson, the learner
should be able to:
Carry out the process of differentiation |
Practice exercise Advancing BK 4, Ex. 10.1 KLB BK 4, Ex. 10.1 |
Real life situations |
- KLB BK 4 Pg 202-205 |
|
| 11 | 4 |
Integration
|
Differentiation
|
By the end of the
lesson, the learner
should be able to:
Carry out the process of differentiation |
Practice exercise Advancing BK 4, Ex. 10.1 KLB BK 4, Ex. 10.1 |
Real life situations |
- KLB BK 4 Pg 202-205 |
|
| 11 | 5 |
Integration
|
Reverse differentiation
|
By the end of the
lesson, the learner
should be able to:
Reverse differentiation |
Practice exercise Advancing BK 4, Ex. 10.1 and 10.2 KLB BK 4, Ex. 10.1 |
Real life situations |
- KLB BK4 Pg207-210 |
|
| 11 | 6 |
Integration
|
Reverse differentiation
|
By the end of the
lesson, the learner
should be able to:
Reverse differentiation |
Practice exercise Advancing BK 4, Ex. 10.1 and 10.2 KLB BK 4, Ex. 10.1 |
Real life situations |
- KLB BK4 Pg207-210 |
|
| 11 | 7 |
Integration
|
Integration, notation
and sum of area
trapezia
|
By the end of the
lesson, the learner
should be able to:
Integrate notations and sum of areas of trapezia |
Practice exercise Advancing BK 4, Ex. 10.3 KLB BK 4, Ex. 10.1 |
Square boards Graph paper |
- KLB BK 4 Pg 212-215 |
|
| 12 | 1-2 |
Integration
|
Indefinite and definite
intergral
|
By the end of the
lesson, the learner
should be able to:
Indefine and define intergral |
Practice exercise Advancing BK 4, Ex. 10.4 KLB BK 4, Ex. 10.2 |
Square boards Graph paper |
- KLB BK 4 Pg 212-215 |
|
| 12 | 3 |
Integration
|
Indefinite and definite
intergral
|
By the end of the
lesson, the learner
should be able to:
Indefine and define intergral |
Practice exercise Advancing BK 4, Ex. 10.4 KLB BK 4, Ex. 10.2 |
Square boards Graph paper |
- KLB BK 4 Pg 212-215 |
|
| 12 | 4 |
Integration
|
Integral notation
|
By the end of the
lesson, the learner
should be able to:
Intergral notation |
Practice exercise Advancing BK 4, Ex. 10.5 KLB BK 4, Ex. 10.3 |
Polynomials |
- KLB BK 4 Pg 215-220 |
|
| 12 | 5 |
Integration
|
Integral notation
|
By the end of the
lesson, the learner
should be able to:
Intergral notation |
Practice exercise Advancing BK 4, Ex. 10.5 KLB BK 4, Ex. 10.3 |
Polynomials |
- KLB BK 4 Pg 215-220 |
|
| 12 | 6 |
Integration
|
Application in
Kinematics
|
By the end of the
lesson, the learner
should be able to:
Apply in kinematics |
Practice exercise Advancing BK 4, Ex. 10.6 KLB BK 4, Ex. 10.4 |
Real life situations |
- KLB BK 4 Pg 223-225 |
|
| 12 | 6-7 |
Integration
|
Application in
Kinematics
|
By the end of the
lesson, the learner
should be able to:
Apply in kinematics |
Practice exercise Advancing BK 4, Ex. 10.6 KLB BK 4, Ex. 10.4 |
Real life situations |
- KLB BK 4 Pg 223-225 |
|
| 13-14 |
END TERM EXAMINATION |
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| 14 |
CLOSING |
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