4
Grade 7• Develop and apply a formula for
determining the area of rectangle.( b * h)• Illustrate and explain how the area of a
rectangle can be used to determine the area of a triangle.( ½ * b * h )
• Identify and plot points in the
four quadrants of a
Cartesian plane.
5
Grade 8Pythagorean theorem
• Solve Pythagorean Problems• Measure of the third side of right
triangles• Model, explain, concretely, pictorially
the Pythagorean theorem• Solve a given problem that involves Pythagorean
triples e.g. ( 3 , 4 , 5 ) or ( 5, 12, 13)
6
Grade 9• Old curriculum
SIN, COS, TAN RATIOS which are shifted to grade 10 now.
• New curriculum ( only Pythagorean Theorem)
Solve problems and justify the
solution strategy using circle properties e.g. A tangent to a circle is perpendicular to the radius at the point of tangency A 90
B
7
Grade 10 A & W• The Pythagorean
Theorem
• Sine, Cosine and Tangent Ratios
• Solving Right Triangles
only
8
Grade 11 A& W• Solve a contextual
problem that involves angles of elevation or angles of depression.
• Solve a contextual problem that involves two or three right triangles, using the primary trigonometric ratios
9
Grade 12 A & W• Sine law and cosine law.
• Excluding the ambiguous case.(which are included in grade 11 Pre cal. and Foundation.)
• Describe the use of the sine law and cosine law in construction, industrial, commercial and artistic applications.
11
Difference between 10 A & W and Foundation
• Almost same but….
In A & W • Still developing the concept of right triangles
and Pythagorean Theorem.• Applying similarity to right triangles
• Generalizing patterns from similar right triangle(set of similar right triangles, that the ratios of the length of the side opposite to the length of the side adjacent are equal)• Relates every example somehow with trades
12
Grade 11 Foundations• Cosine law and the sine law.• Including the ambiguous case.
In which they.. Draw a diagram to represent a
problem that involves the cosine law
or sine law. Explain, concretely, pictorially or symbolically,
whether zero, one or two triangles exist, given two sides and a non-included angle.
Solve a problem involving the sine and cosine laws that requires the manipulation of a formula.
• No reference angle (which are in Pre cal)
13
Grade 12 Foundations• Sinusoidal functions in which
Represent data Describe the characteristics Graph data Interpret data Contextual problem
14
Grade 11 Pre Cal• Angles in Standard position• Reference angle• Determine the quadrant in which
a given angle in standard position terminates.• Illustrate that the points on Cartesian plane P ( x,
y) , P (−x, y) , P (−x,− y) and P (x,− y) are points on the terminal sides of angles in standard position that have the same reference angle.
cont…
15
Grade 11 Pre Cal• Three primary trigonometric ratios for angles
from 0° to 360° in standard position.• Determine the exact value of the sine, cosine
or tangent of a given angle with a reference angle of 30º, 45º or 60º.
• Describe patterns in and among the values of the sine, cosine and tangent ratios for angles from 0° to 360°.
cont…
16
Grade 11 Pre Cal• Cosine law and sine law, • Including the ambiguous case i.e. Describe
and explain situations in which a problem may have no solution, one solution or two solutions (ASS)
• Using primary trigonometric ratios, a triangle that is not a right triangle.
17
Grade 12 Pre Calculus• Angles in standard position,
degrees and radians.• Positive or negative angles• Co-terminal angles. • Relationship among different
systems of angle measurement.• Relationship between the radian
measure of an angle in standard position and the length of the arc cut on a circle of radius r, and solve problems based upon that relationship.
Cont……….
18
Grade 12 Pre CalEquation of the unit circle. Derive the equation of the
unit circle from the
Pythagorean theorem.• Six trigonometric ratios and expressing angles
in radians and degrees• Graph and analyze the trigonometric
functions( sine, cosine and tangent)
cont…
19
Grade 12 Pre Cal • Trigonometric identities in which.
Reciprocal identities (sin θ= 1/sec θ) Quotient identities (tanθ = sin θ / cos θ ) Pythagorean identities ( θ + θ = 1) Sum or difference identities (restricted to sine,
cosine and tangent) sin (A±B) Double-angle identities (restricted to sine,
cosine and tangent) sin 2θ
Top Related