# MATHEMATICS THIRD TERM JSS TWO THE PYTHAGORAS RULE

 WEEK TOPIC / CONTENT ACTIVITIES 1 BEARING i. Identifying the cardinal points. ii. Compass/acute and 3-digit bearing iii. Locating the position of objects iv. Finding the distance between objects using scale drawing. Students: a. Identify the primary and secondary cardinal positions. b. Give bearings as (i) acute angle bearing (ii) 3-figure bearing. c. Find distance of objects by scale drawing. Instructional Resources: Compass, charts showing bearing of objects from a fixed reference point. 2 THE PYTHAGORAS RULE i. The right-angled triangle ii. Using Pythagoras rule to solve right-angled triangles. iii. Pythagoras triples. Students: Identify the hypotenuse. Instructional Resources: – A chart showing the right-angled triangle. – Flash cards of Pythagoras triples. 3 CYLINDERS AND CONES i. Curved surface area of cylinders ii. Curved surface area of cones iii. Total surface area of cylinders iv. Total surface area of cones. Students: a. Calculate the surface area of cylinders and cones. b. Calculate the total surface area of cylinders and cones. Instructional Resources: – Models of cylinders and cones – Nets of cylinders and cones. 4 VOLUME OF CYLINDERS AND CONES Deriving formulae for i. volume of cylinders ii. volume of cones iii. compound shapes i.e. a cone mounted on a cylinder. Students: i. Derive formula for volume of cylinders and cones. ii. Apply derived formula in calculating volume of cylinders and cones. Instructional Resources: – Models of cylinders and cones – Flash cards showing formulae for volume. 5 APPROXIMATION II Problems using the basic arithmetic operations involving i. Money (ii) population iii. Exports (iv) Imports v. Quantitative Reasoning involving the above. Students: Performs simple calculation and give result to a required Instructional Resources: Flash cards, approximation charts. 6 READY RECKONERS i. Obtaining squares and square root of given numbers from tables. ii. Interpreting and using tables and schedules iii. Multiplying and dividing directed numbers. Students: i. Obtain squares and square roots from tables ii. Multiply and divide directed numbers. Instructional Resources: – Typical ready reckoners – Tables and schedule. 7 STATISTICS i. Data presentation in ordered form ii. Frequency tables iii. Pie chart Students: a. Rank a set of numbers b. Calculate angles to represent given information and represent it on a pie chart. Instructional Resources: 1. Frequency charts 2. Model pie chart. 8 PROBABILITY i. Examples which illustrate the occurrence of chance events in everyday life. ii. Determining the probability of certain events. iii. Application of probability in everyday life. Students: Instructional Resources: Dice, ball, and coloured balls. 9 SIMPLE PROPORTION i. Director proportion ii. Inverse proportion Students: i. identify direct proportion ii. identify indirect proportion iii. solve problems on direct and inverse proportion. Instructional Resources: i. flash cards, ii. charts showing direct and inverse proportionality. 10 CONSTRUCTION i. Construction of angles 90o and 45o etc. ii. Bisection of given angles. Students: i. Construct angle 90o and 45o ii. Construct angle 60o iii. Bisect given angles. Instructional Resources: a. Graph board b. Mathematical set. 11 CONSTRUCTION Construction of triangles given i.  2 sides and an included angle ii. 2 angles and a side between them iii. All the 3 sides. Students: Construct triangles using a protractor and ruler. Instructional Resources: a. Graph board b. Mathematical set. 12 Revision 13 Examinations 