Download learning targets: mathematical practices

Trig.notebook
February 08, 2016
LEARNING TARGETS:
• I can explain that by similarity, side ratios in right triangles are
properties of the angles in the triangle, leading to definitions of
trigonometric ratios for acute angles.
• I can explain and use the relationship between the sine and cosine
of complementary angles.
• I can use trigonometric ratios and the Pythagorean Theorem to
solve right triangles in applied problems.
• I can use geometric shapes, their measures, and their properties
to describe objects
• I can apply geometric methods to solve design problems
(G.SRT.6, G.SRT.7, G.SRT8, G.MG.1, Prepares for G.MG.3)
MATHEMATICAL PRACTICES:
•
•
•
•
MP
MP
MP
MP
1: Make sense of problems and persevere in solving them.
3: Construct viable arguments and critique the reasoning of others.
7: Look for and make use of structure.
8: Look for and express regularity in repeated reasoning. LESSONS 25,26,28
TRIGONOMETRIC RATIOS
trigonometric ratio: a ratio of the lengths of
two sides of a right triangle
B
A
sin A = side opposite A
hypotenuse
cos A = side adjacent A
hypotenuse
tan A = side opposite A
side adjacent A
C
Trig.notebook
February 08, 2016
EX: Find the sine, cosine and tangent
of A in the triangle.
A
6
C
10
8
B
EX: Find the sine, cosine and tangent
of X in the triangle.
X
10
5 3
Z
5
Y
Trig.notebook
February 08, 2016
FIND THE VALUE OF THE VARIABLE.
EX:
72°
14
x
EX:
FIND THE VALUE OF THE VARIABLE.
47°
x
7
Trig.notebook
February 08, 2016
EX: FIND THE VALUE OF EACH
VARIABLE. ROUND DECIMALS TO
THE NEAREST TENTH.
34°
X
Y
4