Pen-Write E-Library - Private

SCHEME OF WORK
WEEKS TOPICS
1. Revision of last term's work

2. Triangles:
- Definition and types,
- Construction and sketches

3. Quadrilaterals and Polygons:
- Definition, types,
- Construction and Sketches

4. Area of plane figure:
- Enlargement/reduction of regular plane figure
- Useful theorems of finding areas.
- Illustrations.

5. Miscellaneous Construction:
- Dividing a straight line into equal parts.
- Finding the centre

6. Miscellaneous Construction:
- Inscribing a square in a circle,
- Inscribing an equilateral triangle in a circle

7. Miscellaneous Construction:
- Drawing of arcs of a given radius:
- Drawing of tangents to two lines.

8. Miscellaneous Construction:
- Inscribing a circle round an equilateral triangle.
- Inscribing a circle within a given triangle

9. Metal Work Hand tools:
- Marking out tools,
- Uses and sketches

10. Metal Work Hand Tools:
- Measuring Tools,
- Uses and Sketches

11. Metal Work Hand Tools:
- Cutting tools e.g. chisels, files, etc.
- Uses and Sketches

12 Revision


NEW
SCHEME OF WORK:
WEEK TOPIC
1. Revision of first term work

2. Geometric Construction (b. Angles): definition and illustration of angles- right, acute, obtuse, complementary, supplementary, reflex, etc. (demonstrate how to measure angles.

3. Bisection and Construction of angles: 900, 600, 450, 22 1/20, 150, 1200, etc. (demonstrate how to bisect and construct angles)

4. Circles: (a) definitions and identification of circles, diameters, radius, chord, sector, quadrant and circumference, etc. (b) the use of set squares, tee square and compasses to divide a circle into 4, 8, 12 equal parts.

5. Circle: (c) construction of tangent and normal to a circle; tangent from a point outside the circle and to one or two equal circles.

6. Triangles: Triangles and circles: Right angled, equilateral. Isosceles and scalene triangles. Inscribed and circumscribed circles to given triangles

7. Quadrilateral and polygons: (a) definitions and constructions of regular quadrilaterals: rectangles, square, rhombus, parallelogram and trapezium, etc. (b) definition and construction of regular and irregular polygons, pentagon, hexagon, heptagon, octagon, using general and specific methods.

8. Plane Figures: Construction of areas of regular plane figures, e.g. (i) triangles and rectangles of equal areas (ii) square and rectangles of equal areas, etc.

9. Enlargement and Reduction of Plane Figures: Triangles, rectangles and squares in given ratios by length of sides. Radial line methods.

10. Practical Project

11. Revision

SPECIFIC TOPIC : Revision
REFERENCE BK : Basic technology for JSS by Evans and Nation Building Basic Tech-
nology 2.k

PERFORMANCE OBJECTIVE: At the end of the lesson the students should be able to:
(1).answers questions correctly from the last term's Examination
(2).ask questions from last term's work

View content
https://skydrive.live.com/P.mvc?cid=99B ... 2A33%21223

EVALUATION/CLASSWORK :
(1).What is the full meaning of ICT?
(2).What is the full meaning of GSM and ISP?
(3).Describe the internet
(4).Mention first aid materials
(5).Define Lines
(6).Mention different types of lines



LESSON 19
MAIN TOPIC : Triangles
SPECIFIC TOPIC : Meaning and types of triangles
REFERENCE BK :Basic technology for JSS by Evans and Nation Building Basic Technology by E.K AJAYI.

PERFORMANCE OBJECTIVE: At the end of the lesson the students should be able to:
(1) define triangle
(2) mention types of triangles.


CONTENT : TRIANGLES
Triangles are plane figures bounded with three straight lines; the lines of a triangle are called sides. The sum of the angles of a triangle is 180˚.Triangles are grouped in two ways according to their sides and according to their angles.


TYPES OF TRIANGLE ACCORDING TO THEIR SIDES
Equilateral triangle: All sides equal
Isosceles triangle: Two sides equal
Scalene triangle: Non of the sides equal


TYPES OF TRIANGLES ACCORDING TO THEIR ANGLE
Obtuse angled triangle : One of the angles is greater than 90
Acute angled triangle: All the the angles are less than 90
Right angled triangle :One of the angles is 90

EVALUATION/CLASSWORK
(1)Defines triangle
(2)Mention and explain the types of triangles

ASSIGNMENT:
Draw the types of triangle according to their sides

further studies
http://www.mathsisfun.com/triangle.html

http://www.coolmath.com/reference/triangles-types.html

http://library.thinkquest.org/2609/l3s1.htm

http://www.1728.org/triang.htm

http://www.aaamath.com/geo318x3.htm

http://www.factmonster.com/ipka/A0876325.html


practice test
http://www.ixl.com/math/grade-5/types-of-triangles

http://www.henryanker.com/Math/Geometry ... Set_01.swf

http://www.softschools.com/testing/math/theme1.html

http://www.ixl.com/math/grade-8/classify-triangles

http://www.mathsisfun.com/geometry/tria ... ruent.html

http://www.proprofs.com/quiz-school/qui ... &quesnum=1

http://www.mathopenref.com/quiztriangle1.html

http://www.syvum.com/cgi/online/serve.c ... stion_hide



TOPIC: TRIANGLES
SUB-TOPICS:
1. Triangle and its types
2. Inscribed and circumscribed circles in a given triangle

Sub-Topic I: Triangle and its types
A triangle is a plane figure bounded by three straight lines. The figure below shows the typical shape of a triangle. The sum total of all the angles in a triangle is 1800. Triangles are described by
1. The lengths of their sides
2. The sizes of their angle; and
3. A combination of both lengths of sides and sizes of angles



Types of triangle
1. Right angled triangle: - a right-angled triangle has one angle equal to 900. The side opposite the 900 is called the hypotenuse.

2. Equilateral triangle: - An equilateral triangle has all the three sides and angles equal.


3. Isosceles triangle: an Isosceles triangle has two equal sides and angles

4. Scalene triangles: - a scalene triangle has three unequal sides and angles.

5. Obtuse-angled triangle:- it has one of its angles more than 900



Evaluation
1. What is a triangle
2. List and explain three types of triangle

Sub-Topic II: Inscribed and circumscribed circles to a given triangle
Inscribed circle to a given triangle


[youtube]https://youtu.be/NRzlh6KM0Lg[/youtube]
The three sides of the given triangle are tangential to the inscribed circle
The procedure for drawing the inscribed circle to a given triangle is as follows:
1. Draw the given triangle ABC.
2. Bisect any two angles of the triangle. The bisecting lines will intersect at O, which is the centre of the inscribed circle.
3. Draw a perpendicular lines to any sides from O to meet the sides at D
4. With O as centre and radius OD draw the inscribed circle.

[youtube]https://youtu.be/M3PzKMYeeC0[/youtube]

Circumscribed circle to a given triangles
The circumference of the circumscribed circle to a given triangle touches the vertices of the given triangle.


[youtube]https://youtu.be/YEX2mhvbYuo[/youtube]

The procedure for drawing the circumscribed circle to a given triangle is as follows:
1. Draw the given triangle ABC
2. Bisect any two sides of the given triangle. The bisecting lines intersect at O, which is the centre of the circumscribed circle.
3. With O as centre and radius AO draw the circumscribed circle.

Evaluation
1. Inscribe a circle inside an equilateral triangle of side 10cm
2. Circumscribe a circle outside an equilateral triangle of side 8cm

Reading Assignment
NERDC Basic Technology for Junior Secondary School 2 chapter 6 pages
46-50
Weekend Assignment
1. Draw a triangle whose sides are 4cm, 5cm and 6cm
2. Draw a triangle having a base of 6cm and angles of 400 and 700 at the ends respectively.
3. Construct a triangle having sides of 8cm,6cm and 5cm. draw
1. The inscribed circle of the triangle.
2. The circumscribed circle of the triangle
3. Construct and name the triangle ABC given that AB= 11cm, BC = 8cm and angle ABC = 1100.
4. Draw a right angled triangle given that the length of one side is 8cm and one angle is 400.

[youtube]https://youtu.be/A7EAV6ApMgI[/youtube]

[youtube]https://youtu.be/WY1WG5WEfTo[/youtube]


LESSON 20
MAIN TOPIC : Processing of materials
SPECIFIC TOPIC : Processing of metal
REFERENCE BK : Basic technology for JSS by Evans and Nation Building Basic Technology by E.K AJAYI.

PERFORMANCE OBJECTIVE: At the end of the lesson the students should be able to:
(1) explain the procedure in processing of metal
(2)mention all the materials used in processing of metal

CONTENT
PROCESSING OF METAL
Iron ore is the first material needed for the processing of metal. The iron ore and
other materials such as coke and limestone are loaded into a device called BLAST FURNACE .The blast furnace produces a blast of hot air which heats the limestone
and iron ore to produce a molten iron .The molten iron is then transferred to a
Ladle which will be used to transfer the molten iron to the mould. Here in the
molten iron will be allowed to cool down and form the first metal called PIG IRON.

Blast Furnace, ore-refining shaft furnace operating on the principle that a blast of air forced through a mixture of solid fuel and ore burns away unwanted impurities or converts them to insoluble slag, which can then be skimmed off. The name is usually restricted to metallurgical furnaces for the reduction of ores and particularly to the furnace used for the manufacture of pig iron from iron ore


SMELTING: is the process of extracting metal from ore.


CASTING: is the method of putting liquid metal into the mould.


EVALUATION/CLASSWORK
Explain the procedure in the processing of metal
What is the name of the first metal?
Mention the material to be used in the processing of metal.

further studies
https://en.wikipedia.org/wiki/Metalworking

http://depts.washington.edu/matseed/mse ... essing.htm

http://www.gkn.com/sintermetals/capabil ... fault.aspx




LESSON 21
MAIN TOPIC : Processing of metal
SPECIFIC TOPIC : Processing of pig iron to steel
REFERENCE BK : Basic technology for JSS by Evans and Nation Building Basic Technology by E.K AJAYI.

PERFORMANCE OBJECTIVE: At the end of the lesson the students should be able to:
(1) explain the process of making iron to steel
(2) mention all the furnaces used in processing steel

CONTENT
PROCESSING OF PIG IRON TO STEEL
Pig iron is first metal produced in the processing of metal and this iron is not good
for any engineering work therefore it must be processed into steel and other forms
of metal.
The main difference between steel and pig iron is the carbon content. Pig iron has
3-5% carbon while steel contains less than 2% carbon. In making carbon it is necessary to remove some carbon from pig iron. To remove carbon from pig iron different furnaces are used:-
1.Bessemer converter: for removing carbon from pig iron.
2.Open hearth furnace : for making stainless steel.
3.Electric furnace :for making steel.
4. Reverberatory furnace :for melting non-ferrous metal.

Bessemer Steel Production
In order to convert molten pig iron (crude iron) into steel with a Bessemer furnace, air must be blown through it to burn away impurities. This engraving of a steel factory illustrates the process developed by Sir Henry Bessemer in 1855 and used until the 1950s.
View picture


EVALUATION/CLASSWORK
Explain the process of producing steel.
Mention all the furnaces used in removing carbon from pig iron.

further studies
http://www.howstuffworks.com/iron4.htm

http://www.encyclopedia.com/topic/blast ... stfur-full

http://www.topforge.co.uk/Processes.htm

http://www.brighthubengineering.com/man ... -smelting/


practice test
http://chemistry.about.com/library/weekly/bl050303a.htm

http://quizlet.com/4319663/test/

http://flashcarddb.com/cardset/quiz/73925

TOPIC: GEOMETRIC CONSTRUCTION (ANGLES)
SUB-TOPICS:
1. Definition and Illustration of Angles
2. Definition and Illustration of Angles (cont’d)


Sub-Topic I: Definition and Illustration of Angles
What is an angle?
An angle is defined as a space between two inclined lines meeting at a point. It is measured in degree with the use of protractor
Types of Angles
1. Right Angle: This is an angle which is 900



2. Acute Angle: This is an angle which is less than 900


Evaluation
1. What is an angle
2. Describe: i) Right Angle ii) Acute Angle



Sub-Topic 2: Definition and Illustration of Angles (cont’d)
3. Obtuse angle: This is an angle which is more than 900 but less than 1800


4. Reflex angle: This is an angle which is more than 1800 but less than 3600



5. Complementary angle: This is the angle whose sum adds up to 900




6. Supplementary angle: This is the angle whose sum adds up to1800



Evaluation
1. Describe the following angles;
1. Reflex
2. Obtuse
3. Right angle

READING ASSIGNMENT: NERDC BASIC TECHNOLOGY FOR JUNIOR SECONDARY SCHOOLS BOOK 2 Chapter 5 Pages 32 - 39

ASSIGNMENT
Draw and explain the following angles:
1. Supplementary angle
2. Complementary angle

Further Studies 1

Further Studies 2


Practice Test 1

Worksheet




TOPIC: QUADRILATERALS AND POLYGONS
SUB-TOPICS:
1. Quadrilateral
2. Regular and Irregular Polygons


Sub-Topic I: QUADRILATERAL
What is a Quadrilateral?
A quadrilateral is a plane figure bounded by four straight sides and whose four angles add up to 3600. The line joining two opposite corners of quadrilateral is known as diagonal.
Examples of Quadrilateral
1. Squares
2. Rectangle
3. Parallelogram
4. Rhombus
5. Trapezium
6. Kite etc.


Construction of A Square
E.g.: How to construct a square given that one of its sides is 60mm
Procedures
1. Draw the given side AB to be 60 mm.
2. With centre A and a convenient radius, draw a semicircle at A. use the semicircle to draw a vertical line at AC
3. With center A and a radius AB, draw an arc to cut the vertical line at D with center B and with the same radius, draw an arc at C. Again with center D and the same radius, draw another arc to cut the one at C.
4. Join point D to C and C to B. ABCD is the square required.

[youtube]https://youtu.be/sqEiFKsPBtg[/youtube]



Construction of a Rectangle
E.g.: Constructing a rectangle 60mm in length and 35mm in width
Procedure
1. Draw line AB 60mm to be the horizontal length.
2. Construct a perpendicular at B, and on the perpendicular lines, mark off 35mm at C, using your compass.
3. With center A and Radius 35mm, draw an arc at D.
4. With center C and radius AB (60mm),draw an arc to cut the initial arc at D
5. Join C to D and D to give rectangle ABCD.

[youtube]https://youtu.be/-ELNDgbRQi4[/youtube]


Construction of a Rhombus
Constructing a rhombus given its sides and diagonal
Procedure
1. Draw a line and mark off AB equal to the given diagonal.
2. With center A and a radius equal to the side, draw arcs above and below AB.
3. With center B and the same radius, cut the previous arcs at C and D.
4. Join ADAC, CB, and BD to obtain the required rhombus ACBD

[youtube]https://youtu.be/nKg_btgUonw[/youtube]


Construction of a Parallelogram
Constructing a parallelogram given the diagonals and an angle between them
Procedure:
1. Draw the given diagonals AC first to be 60mm and DB 80mm.
2. Bisect AC at E.
3. Through E, construct the given angle to be 45[sup]0[/sup]
4. Make EB and ED equal to, say 40mm, while AE is 30mm and EC is 30mm.
5. Join A to D, D to C, C to D and B to OA.
[youtube]https://youtu.be/ynRl9KIEa8w[/youtube]

[youtube]https://youtu.be/NpNHjAwMIhk[/youtube]


Construction of Trapezium
A trapezium is a quadrilateral with only two parallel sides. The diagonals of a trapezium intersect each other to give equal opposite angles.
[youtube]https://youtu.be/Fd8E7IkXnfI[/youtube]

Evaluation
Construct the following quadrilaterals:
1. Square
2. Rectangle
3. Parallelogram


Sub-Topic II: Regular and Irregular Polygons
A polygon is a plane figure bounded by three or more straight line segments e.g. quadrilateral, hexagon, heptagon, octagon, and pentagon. A polygon can either be regular or irregular.
Regular Polygon
A regular polygon is one that has all sides equal
Irregular Polygon
Irregular polygon is one that has unequal sides



Construction of hexagon using a pair of compasses
Hexagon is a figure with six sides
Procedure
1. Draw a circle with radius equal to the length of the side given, and draw the horizontal diameter
2. With A as center, and the same radius (30mm), cut the circle above to give AC, and below to give AD
3. With B as center, and the same radius (30mm), cut the circle above to give BE, and below to give BF.
4. Join AD,DF, FB ,AC, BE and CE to obtain the required hexagon

[youtube]https://youtu.be/C-jrTm2LtME[/youtube]


Construction of Pentagon using a pair of compasses
1. USING GENERAL METHODS i.e. EXTERNAL ANGLE = 360[sup]0[/sup]/N
PROCEDURE
1. Obtain the external angle of the required polygon by dividing 360[sup]0[/sup] by the number of sides (N), i.e. 5 for a pentagon is 360[sup]0[/sup]/5 = 72[sup]0[/sup]
2. Draw a horizontal line and mark off AB equal to the given base
3. With A and B as centers, using protractor, mark off 72[sup]0[/sup] as external angles at both ends; and also mark off lengths equal to AB at both A and B points, to give the required pentagon.
4. With C and D as centers, using the protractor, mark off 72[sup]0[/sup] again and extend the lines to intersect at E to give the required pentagon
5. The figure ABDEC is the required pentagon.

[youtube]https://youtu.be/qB5X5uem9a4[/youtube]


6. USING SPECIFIC METHOD i.e. TWO TRIANGLE RULE
PROCEDURES
1. Draw a horizontal line and mark off AB equal to the given base
2. Bisect AB and produce its bisector as long as it is convenient.
3. On AB as base, draw an isosceles triangle with base angle 450 and an equilateral triangle, so that the apexes of the two triangles lie on the bisector of AB. Mark the apex of the isosceles triangle as D, and that of the equilateral triangle as F.
4. Bisect FD to obtain point C
5. Along the bisector of AB, from the point F, step off the length DE or EF to obtain points G, H, I etc.
6. Join the marked points on the circumference of the circle, to obtain the required pentaon ABCDE
NOTE; the points d, e ,f, g, h, I are the centers of various polygons.

[youtube]https://youtu.be/Ph6xGaMCXPs[/youtube]


Construction of Octagon using a pair of compasses
PROCEDURE
1. Draw a horizontal line and mark off the length of the given side AB
2. Through A and B, draw lines at 450 (3600/8) and mark off AC and BD to equal the length of AB
3. Through C and D, draw vertical line and mark off CE and CF to equal length of AB
4. Through E and F, draw lines at 450 and mark off EG and FG equal in length to AB.
5. Join GH to complete the octagon.
6. ABDFHGEC is the obtained octagon.

[youtube]https://youtu.be/PIqk2mGcWVk[/youtube]


EVALUATION
Describe how to construct the following polygons;
1. Pentagon
2. Octagon
3. Hexagon

READING ASSIGNMENT
NERDC Basic Technology for Junior Secondary School I Chapter 7 Pages 52 - 60

ASSIGNMENT
1. Construct a pentagon using general method
2. Highlight properties of hexagons

MAIN TOPIC : Quadrilaterals
SPECIFIC TOPIC : Definition and meaning
REFERENCE BK : Basic technology for JSS by Evans and Nation Building Basic Technology by E.K AJAYI.

PERFORMANCE OBJECTIVES: At the end of the lesson the students should be able to:
(1) Mention all the quadrilaterals
(2) State the features of each quadrilateral

CONTENT QUADRILATERALS
Quadrilaterals are plane figures bounded by four straight lines. Sum of the angles of a quadrilateral is 360˚.The common quadrilaterals are:
Square.
Rectangle.
Rhombus
Parallelogram
Trapezium

Square: are plane figures with four equal straight sides and equal angles of 90˚ each.


Rectangle: these are plane figures with the two opposite sides equal and all the angles 90


Rhombus
A four-sided shape where all sides have equal length.


Also opposite sides are parallel and opposite angles are equal.

It is a type of parallelogram


EVALUATION/CLASSWORK
1. Define quadrilaterals
2. Mention all the quadrilaterals
3. State the features of a square, rectangle and a rhombus.

ASSIGNMENT:
Draw a square, rectangle and a rhombus.

further studies
http://www.mathsisfun.com/definitions/q ... teral.html

http://ardictionary.com/Quadrilateral/110


practice test
http://www.ixl.com/math/geometry/classi ... rilaterals




LESSON 23
MAIN TOPIC : Quadrilaterals
SPECIFIC TOPIC : Construction
REFERENCE BK : Basic technology for JSS by Evans and Nation Building Basic Technology by E.K AJAYI.

PERFORMANCE OBJECTIVES: At the end of the lesson the students should be able to:
(1)State the feature of rhomboid, trapezium and parallelogram
(2)construct the quadrilaterals

CONTENT : RHOMBOID, TRAPEZIUM, PARALLELOGRAM
Rhomboid- are parallelograms in which only the opposite angles and sides are equal.


Trapezium- Trapezium: it has only a pair of the opposite side equal.


Parallelograms- Opposite sides are parallel and equal in length, and opposite angles are equal.


Kite- : have two pairs of sides. Each pair is made up of adjacent sides that are equal in length. The angles are equal where the pairs meet.


CONSTRUCTION OF QUADRILATERALS
[youtube]https://youtu.be/Pz64J1hJV8E[/youtube]

http://www.learnnext.com/lesson/CBSE-VI ... terals.htm

http://www.wiziq.com/tutorial/149794-Co ... drilateral

http://www.ask-math.com/constructing-qu ... erals.html

http://www.math-only-math.com/construct ... erals.html

PARALLELOGRAM
[youtube]https://youtu.be/Jej0hVXKEvQ[/youtube]

http://hs.doversherborn.org/hs/koman/Ge ... uction.htm

http://www.onlinemathlearning.com/const ... ogram.html

http://www.scribd.com/doc/11579125/Cons ... allelogram

http://www.mathopenref.com/constparallelrhombus.html

TRAPEZIUM
[youtube]https://youtu.be/IE__oqc0jaI[/youtube]

http://math.tutorcircle.com/geometry/ho ... ezium.html

KITE
[youtube]https://youtu.be/f6M2_H81U2Y[/youtube]

http://www.whyslopes.com/5056Geometry_- ... thods.html

http://www.geogebra.org/en/upload/files ... Kite3.html

practice test
http://www.kwiznet.com/p/takeQuiz.php?C ... 5&Num=3.48

http://www.math-only-math.com/worksheet ... erals.html

http://mathematicsquestionbank.blogspot ... erals.html

http://tutrr.com/math/cbse-class-8/prac ... rilaterals



PROCEDURES
TOPIC: CONSTRUCTION AND BISECTION OF ANGLES
SUB-TOPICS:
1. Construction of Angle 60[sup]0[/sup]
2. Construction of Angle 30[sup]0[/sup]
3. Construction of Angle 90[sup]0[/sup]
4. Construction of Angle 45[sup]0[/sup]
5. Construction of Angle 15[sup]0[/sup]
6. Construction of Angle 22.5[sup]0[/sup]


SUB-TOPIC I: CONSTRUCTION OF ANGLE 60[sup]0[/sup]
Procedure
1. Draw a line AB
2. Indicate point C anywhere on the AB
3. With center O and any convenient radius, draw an arc to cut AB at D
4. With center D and the same radius, draw an arc to cut the previous one at E
5. Draw a line from O through E (line OE) to F.
6. FOB is the required angle 60[sup]0[/sup].


SUB-TOPIC II: CONSTRUCTION OF ANGLE 30[sup]0[/sup]
Bisection of Angle 60[sup][sup]0[/sup][/sup] will give 30[sup]0[/sup]
To bisect a line means to divide a line into two equal parts by construction using a pair of compasses
PROCEDURE
1. Repeat steps i-vi
2. With the center at D and E in turn, open your compass to any convenient radius. Then strike arc to intersect each other.
3. Then join the point of their intersection G to another point O
4. Angle GOB=COG=30[sup]0[/sup]



SUB-TOPIC III: CONSTRUCTION OF ANGLE 90[sup]0[/sup]
Procedure
1. Draw a line AB.
2. Mark the line AB at C
3. With centre C and any convenient radius, draw the semicircle DE
4. With centers D and E and any convenient radius, draw arcs to intersect at F.
5. A line drawn from C through the semicircle at G to meet intersection of the arcs at F will give angle 90[[sup]0[/sup] on both sides.




SUB-TOPIC IV: CONSTRUCTION OF ANGLE 45[sup]0[/sup]
BISECTION OF ANGLE 90[sup]0[/sup]
To bisect an angle means to divide the angle into two equal parts.
Bisecting angle 90[sup]0[/sup] will give angle 45[sup]0[/sup].
1. Repeat steps i-v
2. With the centre at D and G in turn, open your compass to any convenient radius and strike an arc each to intersect at H.
3. Join C to H.
4. Then angle HCB=45[sup]0[/sup]




5. SUB-TOPIC V: CONSTRUCTION OF ANGLE 15[sup]0[/sup]
BISECTING ANGLE 30[sup]0[/sup] WILL GIVE ANGLE 15[sup]0[/sup] IN TWO PARTS
Procedure

1. Draw the given angle BAC(30[sup]0[/sup])
2. With center A and any convenient radius, draw an arc to cut AB at D and AC at E.
3. With center D and any radius, draw an arc.
4. With center E and the same radius, draw another arc to intersect the previous one at F.
5. Join AF to divide the angle into two parts.



6. SUB-TOPIC VI: CONSTRUCTION OF ANGLE 22 [sup]1[/sup]/[sub]2[/sub][sup]0[/sup]
BISECTING ANGLE 45[sup]0[/sup] WILL GIVE ANGLE 22 [sup]1[/sup]/[sub]2[/sub][sup]0[/sup]
Procedure
1. Draw the given angle BAC (45[sup]0[/sup])
2. With center A and any convenient radius, draw an arc to cut AB at D and AC at E.
3. With centre D and any radius, draw an arc.
4. With center E and the same radius, draw another arc to intersect the previous one at F
5. Join AF to divide the angle into two parts.


EVALUATION

1. What is an angle
2. Give a rough sketch of angle 90[sup]0[/sup]

READING ASSIGNMENT: NERDC Basic Technology for Junior Secondary School 2 Chapter 5 Pages 28

ASSIGNMENT
1. Construct angle 90[sup]0[/sup]
2. Bisect the angle 90[sup]0[/sup] above into 45[sup]0[/sup].

MAIN TOPIC : Polygons
SPECIFIC TOPIC : Meaning of Polygon
REFERENCE BK :Basic technology for JSS by Evans and Nation Building Basic Technology2 By E.K AJAYI.


PERFORMANCE OBJECTIVES: At the end of the lesson the students should be able to:
(1) define Polygon
(2) mention different examples of Polygons

CONTENT
POLYGONS are plane figures with four or more sides. Regular polygons have equal sides and angles. The common Polygons are:
1. Pentagon ----5 sides
2. Hexagon----6Sides
3. Heptagon---7sides
4. Octagon ----8sides
5. Nonagon---9sides
6. Decagon---10sides.

PENTAGON


HEXAGON


Irregular polygons are polygons with the required sizes but the length are not equal.

EVALUATION/CLASSWORK
Define polygon
Mention the polygons with their sizes

ASSIGNMENT: Draw all the polygon

further studies
http://www.mathsisfun.com/geometry/polygons.html

http://www.mathsteacher.com.au/year7/ch ... on/pol.htm

http://www.basic-mathematics.com/types-of-polygons.html

http://www.mathsisfun.com/geometry/regu ... ygons.html


practice test
http://www.ixl.com/math/grade-7/interio ... f-polygons



LESSON 25
MAIN TOPIC : Polygon
SPECIFIC TOPIC : Construction of polygon
REFERENCE BOOK : Basic Technology for JSS by Evans and Nation Building Basic Technology by E.K AJAYI.

PERFORMANCE OBJECTIVES: At the end of the lesson the students should be able to:
(1) Construct a Pentagon
(2) Construct a Hexagon


CONTENT: CONSTRUCTION OF POLYGON
Class Work - Construct a regular pentagon of 50mm sides

STEPS 1 : Divide 360 by the number of side N . Therefore the external angle 360˚/5=72˚
STEP 2 : Draw one side AB and a construction line 72˚to AB from A and B .
STEP 3 : Construct ABCED

CONSTRUCT HEXAGON

STEP 1: Draw the circle of radius equal to the length of the given side.
STEP 2: Draw horizontal diameter AB. With centre A AND B, C, D, E and F.
STEP 3: Join all the points to complete the hexagon.

EVALUATION/CLASSWORK
Draw each of the shapes on your own.

further studies
http://www.barryscientific.com/lessons/polygon.html

http://www.ac-noumea.nc/maths/polyhedr/polyg_draw_.htm


practice test
http://www.softschools.com/quizzes/math ... z1056.html

http://www.math.com/school/subject3/S3U2Quiz.html

http://www.newbedford.k12.ma.us/element ... 0Quiz.html

http://www.aaamath.com/g318_px1.htm#section2




MAIN TOPIC : Area of plane figures
SPECIFIC TOPIC : Area
REFERENCE BK :Basic technology for JSS by Evans and Nation Building Basic Technology by E.K AJAYI.

PERFORMANCE OBJECTIVES: At the end of the lesson the students should be able to:
i. define area
ii. construct the area of the triangle

CONTENT
The area of a plane figure can be defined as the space occupied by that figure. It is usually the product of lengths and so the unit are always in the square of linear measurement units e.g. CM sq M sq .The procedure for finding the areas of common.


CLASSWORK
A triangle ABC has an area 15cm sq and a base length 5cm sq. Construct the triangle


EVALUATION/CLASSWORK
1. Define area
2. Construct the area of a triangle

further studies
http://www.mathsteacher.com.au/year8/ch12_area/fig.htm

http://recursostic.educacion.es/descart ... /index.htm

http://www.bymath.com/studyguide/geo/sec/geo12.htm

http://www.bbc.co.uk/skillswise/topic-group/shapes



LESSON 27
MAIN TOPIC : Area of plane figures
SPECIFIC TOPIC : Enlargement of plane figures
REFERENCE BK : Basic technology for JSS by Evans and Nation Building Basic Technology by E.K AJAYI.

PERFORMANCE OBJECTIVES: At the end of the lesson the students should be able to:
i. construct a shape and enlarge it according to a given ratio
ii. construct a shape and reduce it according to a given ratio

CONTENT : Enlargement of shapes
Example1.To construct a figure similar to a given ABCEDF with its sides in the ratio of 6:4
Procedures
1. Draw the given figure ABCDEF
2. Project lines from A to C D E and F
3. Draw an incline line at any convenient angle but less than 90˚ to AB and mark 6 equal division on it.
4. Join the sixth division to B and the fourth division parallel to it meeting AB at B.
5. Draw B1C1,C1D1 ,D1E1 and E1F1 parallel to BC, CD, DE and EF to complete the enlarged figure.


EVALUATION/CLASSWORK
The teacher evaluates the lesson by asking students to carry out a specific construction exercise.

practice test
http://www.superteacherworksheets.com/g ... _TZFMZ.pdf

http://www.superteacherworksheets.com/g ... _TZFNB.pdf

http://www.ixl.com/math/geometry/perimeter

http://www.ixl.com/math/geometry/area-o ... -triangles

http://www.ixl.com/math/geometry/area-of-trapezoids

http://www.ixl.com/math/geometry/area-a ... ar-figures

http://www.mathsisfun.com/area.html



watch video
[youtube]http://www.youtube.com/watch?v=4nyWd8DdUk0[/youtube]

TOPIC: CIRCLES
SUB-TOPICS:
1. Circle and its parts
2. Division of a Circle into equal parts

Sub-Topic I: Circle and its parts
A Circle is a plane figure bounded by a curved line called the circumference.


Parts of a Circle
The following are the various parts of a circle:
1. Diameter: The diameter is a straight line drawn through the center of a circle and meeting the circumference at both ends.

2. Radius: The radius is a straight line drawn from the center of a circle to any point on the circumference of the circle. A radius is always half of the circle’s diameter.

3. Segment: This is an area of the circle bounded by an arc and a chord
4. Chord: The chord is a straight line which joins any two given points on the circumference of a circle.

5. Sector: This is the part of a circle bounded by two radii and an arc.

6. Quadrant: The quadrant is the part of a circle bounded by two radii which are at right angles to each other, and bounded by an arc. A quadrant is a quarter of the circle.

7. Tangent: The tangent is usually formed outside the circle. When a straight line touches the circumference of the circle, a tangent is formed. However, that line must be at right angle to a radius.

Evaluation
Describe 5 parts of a circle


Sub-Topic II: Division of a Circle into Equal Parts
For dividing a circle into equal parts; the setsquare, tee-square or pair of compasses can be used.

Dividing A Circle into four Equal Parts
Steps
1. Draw the given circle with Center O
2. Draw a diameter AOB
3. Draw another diameter COD perpendicular to AOB
4. Lines AOB and COD divide the circle into four equal parts

Dividing a Circle into Eight Equal Parts
Steps
1. Draw the given circle with center O
2. Divide the circle into four equal parts
3. Using a pair of compasses, bisect angles AOC and COB and project the lines to meet the circle at both ends at points D, E, F and G

Dividing a Circle into Six Equal Parts
Steps
1. Draw the given circle with center O
2. Using a pair of compasses, take the radius of the circle and step it off six times on the circumference at points ABCDEF

Dividing a Circle into Twelve Equal Parts
Steps
1. Draw a given circle with center O
2. Divide the circle into six equal parts
3. Using a pair of compasses, bisect angles AOF, FOE and EOD and project the lines to meet the circle at both ends
[youtube]https://youtu.be/ypPhumJTnXQ[/youtube]

Evaluation
Divide a circle of radius 8cm into eight equal parts
Reading Assignment

NERDC Basic Technology for Junior Secondary School 2 Chapter 6 Pages 40 – 46

Assignment
1. Draw a circle and identify its various parts
2. Divide a circle of diameter 12cm into 12 equal parts




SUB-TOPICS:
1. Tangent and Normal to a circle
2. Construction of Tangent and Normal to a circle

Sub-Topic I: Tangent and Normal to a Circle
A tangent is a straight line that touches the circumference of a circle. It is usually at right angles to the radius of the circle.
A normal is a straight line which joins the center of a circle to the tangent at the point of tangency.


Evaluation
Draw a circle indicating its tangent and normal to the tangent



Sub-Topic II: Construction of Tangent and Normal to a circle
1. Tangent to a circle from a point on the circumference
Steps
1. Draw the circle with center O
2. Mark the given point A on the circumference
3. Join OA and extends it outwards
4. With A as center and radius OA, draw an arc to cut the extended line at B
5. The perpendicular bisector of OB is the required tangent
6. CD is the tangent to the circle at point A while OB is the normal
[youtube]https://youtu.be/7PdAkCaeI2s[/youtube]

7. Tangent to a circle from a given point outside the circle
Steps
1. Draw the given circle with center O
2. Locate point A outside the circle
3. Draw line OA
4. Construct a semicircle on OA to intersect the given circle at B
5. Line AB is the required tangent to the circle
[youtube]https://youtu.be/YtGK1cA4EGI[/youtube]

6. Tangent to two Equal Circles
Steps
1. Draw the two circles with centers A and B respectively
2. Draw line AB to join the two centers
3. Draw a line perpendicular to AB at A to intersect the first circle at D
4. Draw a line perpendicular to AB at B to intersect the second circle at C
5. CD is the required tangent


Evaluation
1. Construct a tangent to a circle of radius 4cm at any point on the circumference. Indicate also the normal
2. Construct a tangent to a circle of diameter 10cm at any point of your choice outside the circle. Indicate also the normal

Reading Assignment
NERDC Basic Technology for Junior Secondary School 2 Chapter 6 Pages 40 – 46

Assignment
Construct the tangent to two circles, each of diameter 5cm, indicating the normals

MAIN TOPIC : Miscellaneous Construction
SPECIFIC TOPIC : Division of lines
REFERENCE BK : Basic technology for JSS by Evans and Nation Building Basic Technology by E.K AJAYI.

PERFORMANCE OBJECTIVE: At the end of the lesson the students should be able to:
i. Divide a given line into any given equal number
ii. Divide a given line into any given ratio


CONTENT
Example .Draw a line of of 70mm and divide it into 4 equal parts
Step 1. Draw the given line AB
Step 2.Project A to C
Step 3.Divide line AC into the given number
Step 4. Project the division lines to line AB


DIVISION OF LINES INTO RATIO 3:1
View
https://skydrive.live.com/P.mvc?cid=99B ... 2A33%21212

EVALUATION/CLASSWORK
Draw a line of 86mm and divide it into 6 equal parts
Draw a line of 90mm and divide it into ratio

[youtube]https://youtu.be/m4PSLIMfTiU[/youtube]

ASSIGNMENT: Draw a line of 105mm and divide it into
(a) 7 equal parts
(b) Ratio 2:3:4

further studies
http://www.vitutor.com/geometry/plane/line_segment.html

http://www.mathopenref.com/constdividesegment.html

[youtube]http://www.youtube.com/watch?v=bozVx8PhqYY[/youtube]



LESSON 29
MAIN TOPIC : Miscellaneous Construction
SPECIFIC TOPIC : Inscribing and circumscribing of circles in a triangle
REFERENCE BK :Basic technology for JSS by Evans and Nation Building Basic Technology by E.K AJAYI.

PERFORMANCE OBJECTIVE: At the end of the lesson the students should be able to:
i. Construct an equilateral triangle
ii. Inscribe a circle in the triangle

CONTENT
Example. Construct an equilateral triangle of 60mm and inscribe a circle in it.
Step 1. Construct the given triangle
Step 2.Bisect any two angles of the triangle
Step 3. Locate centre O the intersection of your bisection lines
Step 4. From centre O and your compass extended to AB or BC draw your circle to touch the three sides of the triangle


View
https://skydrive.live.com/P.mvc?cid=99B ... 2A33%21212

View construction of equilateral triangle

View Inscribing a circle in a triangle

View Circumcircle

EVALUATION/CLASSWORK
Construct a triangle of 80mm
(a) Inscribe a circle in it
(b)Escribe a circle in it

further studies
http://math.nmsu.edu/~pmorandi/CourseMa ... ngles.html

http://www.mathsisfun.com/geometry/cons ... ircum.html

http://learni.st/users/S33572/boards/30 ... 9-12-g-c-3

http://www.geometryatlas.com/categories ... ed_Circles




MAIN TOPIC : Miscellaneous construction
SPECIFIC TOPIC : Locate the centre of a circle
REFERENCE BK :Basic technology for JSS by Evans and Nation Building Basic Technology by E.K AJAYI.

PERFORMANCE OBJECTIVES: At the end of the lesson the students should be able to:
i. Describe a circle
ii. State the parts of a circle

CONTENT
Circle is a plane figure bounded by a curve line called circumference, which is always equidistance from the centre.
A diameter is a straight line drawn through the center, meeting the circumference at both side.
A radius is a straight line drawn from the center to the circumference.
An arc is any part of the circumference.
A chord is any straight line drawn across the circle, meeting the circumference at both ends.
A tangent is a straight line which touches the circumference. It is always at the right angles to the radius.
A segment is part of a circle bounded by an arc and a chord.
A sector is part of a circle bounded by two radii and an arc.
A quadrant is part of a circle bounded by two radii at right and an arc.



Locate the center of a circle

EVALUATION/CLASSWORK
Describe a circle
Mention all the parts of a circle

ASSIGNMENT: draw a circle and label all its parts

further studies
http://www.makeitsolar.com/science-fair ... center.htm

http://www.instructables.com/id/How-to- ... -a-circle/

http://www.cut-the-knot.org/do_you_know/compass13.shtml

http://planetmath.org/compassandstraigh ... ivencircle

http://www.mathopenref.com/constcirclecenter2.html

MAIN TOPIC : Miscellaneous Construction
SPECIFIC TOPIC : tangents of arcs
REFERENCE BOOK : Basic technology for JSS by Evans and Nation Building Basic Technology by E.K AJAYI.

PERFORMANCE OBJECTIVES: At the end of the lesson the students should be able to:
(1) draw two lines to form a right angle and arc of a given radius tangential to them
(2) draw two lines to form an acute angle and arc of a given radius tangential to them

CONTENT
To draw an arc of a given radius tangential to two lines
Procedures
Steps 1. Draw the given two lines to meet at R
2. Mark points P and Q where the intending arc should touch
3. with centre P and radius PR arc inward. Also with centre Q and radius RQ arc inward.
4. the two arcs intersects at O, the centre of arc PQ .
5. With centre O and radius OP or OQ draw the required arc


EVALUATION/CLASSWORK
Draw a right angle and form tangent with it to join the lines
Draw an acute angle and form tangent to link the lines

further studies
http://quizlet.com/10938610/tangentsarc ... ash-cards/

http://www.mathwarehouse.com/geometry/circle/index.php

http://www.mathwarehouse.com/geometry/c ... -chord.php

http://www.slideshare.net/davehohman/9- ... and-chords

http://draftingmanuals.tpub.com/14276/css/14276_98.htm




MAIN TOPIC : Inscribing a circle in a triangle
SPECIFIC TOPIC : Inscribing
REFERENCE BK :Basic technology for JSS by Evans and Nation Building Basic Technology by E.K AJAYI.

PERFORMANCE OBJECTIVE: At the end of the lesson the students should be able to:
(1)construct an equilateral triangle
(2)inscribe a circle in a triangle


CONTENT

Inscribing a circle in a triangle
Procedure
Step 1. Construct the given triangle ABC
Step 2. Bisect any two angle of the triangle.
Step 3. Locate the point of intersection of the bisectors
Step 4. From the intersection O extend your compass to any of the side of the triangle and draw the circle.

View Construction

EVALUATION/CLASSWORK
Construct a triangle of 60mm and inscribe a circle in it

further studies
http://www.basic-mathematics.com/constr ... angle.html


http://en.wikibooks.org/wiki/Geometry_f ... l_triangle

http://www.mathopenref.com/constequilateral.html

http://commons.wikimedia.org/wiki/File: ... Circle.gif

http://www.mathsisfun.com/geometry/cons ... cribe.html






LESSON 33
MAIN TOPIC : Inscribing and Escribing of circle in or around a triangle
SPECIFIC TOPIC : Escribing a circle in a triangle
REFERENCE BK :Basic technology for JSS by Evans and Nation Building Basic Technology by E.K AJAYI.

PERFORMANCE OBJECTIVES: At the end of the lesson the students should be able to:
(1)construct an equilateral triangle
(2)escribe a circle around the triangle


CONTENT
Escribing a circle in a triangle

Procedures
Step 1. Construct the given triangle ABC
Step 2. Bisect any two sides of the triangle.
Step 3. Locate the point of intersection of the bisectors
Step 4. From the intersection O extend your compass to any of the side of the triangle and draw the circle.


View Construction

EVALUATION/CLASSWORK
Draw a line of 50mm and escribe a circle in it

further studies
http://www.mathsisfun.com/geometry/cons ... ircum.html

TOPIC: PLANE FIGURES
SUB-TOPICS:
1. Construction of areas of regular plane figures
2. Construction of Plane figures of equal areas


Sub-Topic I: Construction of areas of regular plane figures
The area of a plane figure is the space occupied by that figure. Area is usually the product of two lengths and its unit is given in cm2 or m2. The areas of plane figures (also known as polygons) can be obtained through the following methods:
a) Triangles: The area of a triangle is one-half the product of base and height.
b) Parallelogram: The area of a parallelogram is the product of one side and the perpendicular distance between that side and the opposite side.
c) Quadrilateral: A quadrilateral is the combination of two triangles. The areas of the two component triangles are found and added to give the area of the quadrilateral
d) Square or Rectangle: The area of a square or a rectangle is defined as the product of length and breadth
e) Trapezium: The area of a trapezium is one-half the product of the sum of parallel sides and the distance between them
f) Regular polygon: The area of a regular polygon is found by joining the vertices of the polygon to the centre so as to form several triangles. The area of the regular polygon is equal to the area of one of the triangles multiplied by the number of sides.



[youtube]https://youtu.be/Pz64J1hJV8E[/youtube]

Evaluation
Discuss the areas of four regular figures



Sub-Topic II: Construction of Plane figures of equal areas
A. Construction of a triangle equal in area to a rectangle
Procedure
1. draw the rectangle ABCD
2. project line CD and mark off DE, using the distant equal to CD
3. draw a horizontal line from point F to line BA parallel to BC
4. locate point G anywhere on line EF
5. join point G to B and C respectively, to obtain the triangle equal in area to rectangle ABCD. Triangle BCG is equal to the given rectangle
[youtube]https://youtu.be/RPYRH4D_x6M[/youtube]
A triangle equal in area to a given rectangle

B. Construction of a Square equal in area to a Rectangle
Procedure
1. draw the rectangle ABCD
2. produce AD to E such that DE equals CD
3. construct a semi-circle with AE as diameter
4. produce CD to meet the semi-circle at F
5. Construct square DFGH starting with DF. Square DFGH is the required square which is equal in area to rectangle ABCD



C. Construction of a triangle equal in area to a given quadrilateral
Procedure is as follow
1. Draw the given quadrilateral ABCD
2. Join AC
3. From D, construct line DE parallel to AC
4. Produce BC to meet DE at F
5. Join AF
6. ABF is the required triangle equal in area to ABCD. It can be proved from simple geometry that triangle ABF is equal in area to quadrilateral ABCD



D. Construction of a rectangle equal in area to a given triangle
Procedure
1. Draw the given triangle ABC
2. Draw a line through A, parallel to BC
3. Bisect line BC perpendicularly at D and to meet the line through A at E
4. Draw a perpendicularly to BC at B to meet the line through A at F
5. FBDE is the rectangle required.


A rectangle equal in area to a given triangle

Evaluation
1. Draw a triangle equal in area to a square with 5cm sides
2. Draw a rectangle 7cm long and 4 cm wide. Construct a square equal in area to the rectangle
3. A square has a side 45mm long. Construct a rectangle equal in area to the square and one of whose sides is 60 mm in length.

Reading Assignment:
NERDC Basic Technology for Junior Secondary Schools 2 chapter 7 page 61- 67

Assignment
1. Draw a rectangle 7cm long and 4cm wide. Construct a square equal in area to the rectangle.
2. Draw a triangle with sides 7cm, 5cm and 8cm. construct a square equal in area to the triangle
3. Draw a rectangle 8cm long 5cm wide. Construct another rectangle whose area is four times that of the given rectangle.
4. Draw two lines AB and BC to intersect at an angle 480. Without using a protractor, transfer the angle to another point.
5. Construct a parallelogram of equal area to a rectangle 8 cm long and 6cm wide.




TOPIC: ENLARGEMENT AND REDUCTION OF PLANE FIGURES
SUB-TOPICS:
1. Enlargement/Reduction of plane figures
2. The Radial Method and Method of Length of Side


Sub-Topic I: Enlargement/Reduction of plane figures
An object is enlarged when all of its dimensions are changed in the same ratio. Thus, enlargement is also called transformation. Each length of the objects is multiplied by the same number called scale factor to obtain the enlargement.
When the scale factor is less than one, the original objects is reduced.
I.e. Scale Factor = length of enlargement/corresponding length.
Examples of enlargement/reduction of plane shapes include:

ENLARGEMENT
i) Drawing a triangle which is twice the size of the original triangle
Procedure;
1. Draw the given triangle ABC
2. Draw DB perpendicularly to AB, such that BD=AB
3. With center A, and radius AD, draw an arc to meet AB at E
4. From E, draw EF parallel to BC, with F on line AC
5. Draw lines to join AEF to give the triangle double in size



ii) Drawing a square which is twice the size of the original square
Procedure;
1. Draw the given square ABCD
2. Draw one of the diagonals, AC.
3. With A as center, and radius AC, draw an arc to meet AD at E.
4. AE is one side of the square.
5. With radius AE, and center A, mark G on line BA produced
6. With the same radius, and center E, mark F. join G and F with a tangent to complete the square.




REDUCTION
Reducing a Plane Figure to half its area
Procedure
1. Draw the given square ABCD
2. Draw the diagonal AC and BD to intersect at O.
3. With center C and radius CO, draw an arc which meets CD at E. CE is the length of one side
4. With radius CE and center E, strike an arc above CD at F.
5. With radius CE and center C, strike another arc above line CD and G.
6. Join EF, FG and GC to obtain the square CEFG half the size of the original.

Evaluation
1. Define enlargement of a plane figure
2. What is a scale factor
3. Draw a triangle and a square of your choice which are four times the size of the original triangle and square
4. Reduce a square of your choice to one-quarter of its original size


Sub-Topic II: The Radial Method and Method of Length of Side
Enlargement and reduction of plane shapes can be done in two ways;
1. The radial method
2. The length of side

1. THE RADIAL METHOD
Procedure
1. Draw the rectangle ABCD
2. Join AC and produce it to E
3. Mark a point F and AE such that the ratio AC: AF is the correct ratio of the enlargement or reduction.
4. Complete the rectangle AGFH.


Construction of a triangle equal in area to a given quadrilateral
Procedure is as follow
1. Draw the given quadrilateral ABCD
2. Join AC
3. From D, construct line DE parallel to AC
4. Produce BC to meet DE at F
5. Join AF
6. ABF is the required triangle equal in area to ABCD. It can be proved from simple geometry that triangle ABF is equal in area to quadrilateral ABCD


Construction of a rectangle equal in area to a given triangle
Procedure
1. Draw the given triangle ABC
2. Draw a line through A, parallel to BC
3. Bisect line BC perpendicularly at D and to meet the line through A at E
4. Draw a perpendicularly to BC at B to meet the line through A at F
5. FBDE is the rectangle required.



5. METHOD OF LENGTH OF SIDE
1. Draw the rectangle ABCD
2. Produce AB and AD to E and F respectively such that the ratio AB: AE and AD: AF corresponds with the enlarged or reduced size.
3. Complete the enlarged or reduced rectangle AEGF or AE,G,F



EVALUATION
1. Using the radial method and method of length of side, enlarge a square of side 50mm to twice its original size



READING ASSIGNMENT: NERDC BASIC TECHNOLOGY FOR JSS2 Chapter 7 page 64 - 71

ASSIGNMENT
Use both radial and length of side methods to;
1. Enlarge and reduce a rectangle of 40mm by 20mm
2. State the major difference between radial method and length of side method.

Further Studies on Construction

SPECIFIC TOPIC : Locating the center of a circle
REFERENCE BK : Basic technology for JSS by Evans and Nation Building Basic Technology by E.K AJAYI.

PERFORMANCE OBJECTIVES: At the end of the lesson the students should be able to draw a circle and locate the center.

CONTENT
https://skydrive.live.com/P.mvc?cid=99B ... 2A33%21211

Procedures for locating the centre of a circle


STEP .1 Draw a circle with a circular shape
STEP.2 draw any two cords
STEP.3 bisect the two cords
STEP.4 the intersection of the two bisectors is the centre of the circle

EVALUATION/CLASSWORK
Draw a circle and locate the centre

further studies
http://planetmath.org/compassandstraigh ... ivencircle

http://www.mathopenref.com/constcirclecenter.html

http://www.mathopenref.com/constcirclecenter2.html


LESSON 35
MAIN TOPIC : miscellaneous construction
SPECIFIC TOPIC : Line problems
REFERENCE BK : Basic technology for JSS by Evans and Nation Building Basic Technology by E.K AJAYI.

PERFORMANCE OBJECTIVES: At the end of the lesson the students should be able to draw lines and link them

CONTENT


https://skydrive.live.com/P.mvc?cid=99B ... 2A33%21211

EVALUATION/CLASSWORK
Draw a right angle ABC of AB= 50mm and BC= 40mm and link them with an arc of 15mm

further practice
http://www.mathscore.com/math/practice/Line%20Segments/