ANNUAL SCHEME OF WORK MATHEMATICS FORM 2 2014 SEM. MONTH WEEK TOPIC /SUBTOPIC 1ST SEMESTER JANUARY 1 CHAPTER 1 – DIRECTED NUMBERS. 1.1 Multiplication and Division of Integers. 1.2 Combined Operations on Integers. 2 1.3 Positive and Negative Fractions. 1.4 Positive and Negative Decimals. 3 1.5 Computations Involving Directed Numbers. (Integers‚ Fractions and Decimals) 4 CHAPTER 2 – SQUARES‚ SQUARE ROOTS‚ CUBES AND CUBE ROOTS. 2
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circular flower bed is the point of intersection O of two diagonals of square lawns . Find the sum of areas of the lawn and flower bed? Fig. 1 ↓ Q 6 In fig. 2 ‚ two tangents PA & PB are drawn from an external point P to a circle with centre 0 . Prove that AOBP is a cyclic quadrilateral? Q 7 For what value of ‘m’ will the equation 2mx2 – 2(1 + 2m)x + (3+2m) = 0 have real but distinct roots? Q 8 Two customers Shyam and Ekta are visiting a particular shop in the same week
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minor axis. Parallels drawn from the formula for the area of circle ([pic]) and formula for the area of an ellipse (A = [pic]ab) Formula for the area of a circle:[pic] where [pic] is the area‚ and [pic] is the radius. In the case of a circle‚ radius a represents the semi major axis while radius b represents the semi minor axis. One can thus find the area of the circle through the formula A = [pic]ab‚ where a is equal to b. Hence circle‚ in actual fact‚ is a unique case of ellipse.
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Step-by-Step Instructions The Lesson Activities will help you meet these educational goals 21st Century Skillsyou will use critical-thinking and problem-solving skills and communicate effectively. Directions Please save this document before you begin working on the assignment. Type your answers directly in the document. _________________________________________________________________________ Teacher-Graded Activities Write a response for each of the following activities. Check the Evaluation section
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similar and rectangles must have proportional sides as well. Gnomons- A gnomon in math terms is an object G that fits together with another object A but remains similar to object A just on a different scale. Disks and Circles are Always similar under every circumstance. A circle could only be an object A but never a gnomon because of its properties. Circular Rings would be the object A and the gnomon would be the other shape but it does have a gnomon. The shapes of the inner and outer radii however
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"Calculating replaces thinking while geometry stimulates it." Jakob’s contributions to geometry renovated the classic ways of solving geometric problems. One of Jakob’s greater mathematical achievements was the discovery of the circumscribed and inscribed circles of a triangle. Along with this achievement he also wrote many theorems used today in classic geometry as well as Projective geometry. Jakob proved that Wallace lines of a triangle lie in a 3 pointed hypocycloid. He also developed the formula for partitioning
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strongly into turning well. We’ll hit that up at the end of this lesson. Turn Rate: The rate at which an aircraft can turn or rate it’s nose while turning. In other words if you’re pulling a circle‚ rate is a definition of how fast you get around that circle. Don’t just think of rate in terms of complete circles though. I give that as an example to help you visualize and understand rate. Turn Rate is usually expressed in reference to instantaneous and sustained rates and is measured in degrees
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detect the forgery object in distortion image and make the following contributions: 1) a radial distortion projection model is adopted to simplify the traditional captured ray-based models‚ where the straight world line is projected into a great circle on the viewing sphere; 2) two bottom-up cues based on distortion constraint are provided to discriminate the authentication of the line in the image; 3) a fake saliency map is used to maximum fake detection density‚ and based on the fake saliency
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relationship between triangles and circles. Be sure to include a description of the different centers a triangle can have. Answer: Angles and points on the circumference of a circle are the same thing. A point on the unit circle is the same as a right triangle formed by a radius to the point and its perpendicular to the x-axis. Hence sines and cosines which come from ratios of legs of a right triangle to the length of the hypotenuse are also the coordinates of the point on a circle of radius one. (5
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one person will stand in the middle blindfolded while the rest of the group circles around the blindfolded person. The blindfolded person represents ‘the willow.’ The rest of the group will form a tight circle and the blindfolded person will completely lean forward‚ it is important the surrounding circle catches the person and pushes them back up repeating the process again. The blindfolded person’s trust in the circle is key in this activity. Once all trust is gained the person that’s blindfolded
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