Download geometry-unit-8-i-can-statements-trig

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Document related concepts

Euler angles wikipedia, lookup

Multilateration wikipedia, lookup

Line (geometry) wikipedia, lookup

Steinitz's theorem wikipedia, lookup

Golden ratio wikipedia, lookup

History of geometry wikipedia, lookup

Reuleaux triangle wikipedia, lookup

Rational trigonometry wikipedia, lookup

Four color theorem wikipedia, lookup

History of trigonometry wikipedia, lookup

Trigonometric functions wikipedia, lookup

Euclidean geometry wikipedia, lookup

Integer triangle wikipedia, lookup

Pythagorean theorem wikipedia, lookup

Transcript
Geometry Unit #8 (right triangles, trig.)
1) G.SRT.8 I can use the Pythagorean Theorem to find
a missing side of a right triangle. (8.1)
PROOF OF UNDERSTANDING:
2) G.SRT.8 I can use the converse of the Pythagorean
Theorem to prove or disprove a triangle is a right
triangle. (8.1)
PROOF OF UNDERSTANDING:
What is the length of side c? _____________
Is the triangle above a right triangle? (Hint…change the
radical into decimal form first to decide which side should
be the longest side.)
3) I can label a right triangle with “opposite”,
“adjacent”, and “hypotenuse”. (8.3, 8.4)
PROOF OF UNDERSTANDING:
4) I can explain (in terms of SOH CAH TOA) what sine,
cosine, and tangent mean. (8.3, 8.4)
PROOF OF UNDERSTANDING:
SIN =
COS =
TAN =
Look at the 2 example triangles above. First locate the
angles 60° and 35°. Then, label your triangles with H, O,
and A.
Geometry Unit #8 (right triangles, trig.)
5) G.SRT.8 I can use a trig ratio for sine, cosine or
tangent to find the distance of a missing right triangle
side. (8.3, 8.4)
PROOF OF UNDERSTANDING:
6) G.SRT.8 I can use a trig ratio to find a missing angle
measurement. sin(¯¹), cos (¯¹), tan (¯¹) (8.3, 8.4)
PROOF OF UNDERSTANDING:
θ° = ?
X=?
θ
7) G.SRT.10 I can find the missing side of a triangle
when given SAS measures using the Law of Cosines.
(p565) PROOF OF UNDERSTANDING:
8) G. SRT.6, G.SRT.10 I can use the Law of Sines to
solve for the missing side lengths or angles of a
triangle. (p565) PROOF OF UNDERSTANDING:
=?
=?
Geometry Unit #8 (right triangles, trig.)
9) G.SRT.7 I can explain and use the relationship
between the sine and cosine in terms of
complementary angles.
PROOF OF UNDERSTANDING:
10) I can explain the relationship between sin, cos,
and tan on a unit circle.
PROOF OF UNDERSTANDING:
Explanation: _____________________________________
Explanation: _____________________________________
________________________________________________
________________________________________________
________________________________________________
________________________________________________
________________________________________________
________________________________________________
________________________________________________
________________________________________________
________________________________________________
________________________________________________
11) G.SRT.9 I can find the area of a triangle with sides
a and b and included angle C using the formula Area =
(1/2) (ab) sin C. (10.5)
PROOF OF UNDERSTANDING:
12) G.SRT.8 I can use angles of depression or
elevation to help solve trig story problems. (8.5)
PROOF OF UNDERSTANDING:
Find the area of the non-right triangle below:
If the distance from A to C is 200 m, and AC is parallel to
BD, what is the height of the flagpole?
Geometry Unit #8 (right triangles, trig.)
13) G.SRT.8 I can use Pythagorean Theorem or trig
ratios to find missing side lengths or angle measures
of a right triangle.
B
PROOF OF UNDERSTANDING:
14) G.SRT.8 I can graph a right triangle on the
coordinate plane and find all missing angle and side
measurements.
PROOF OF UNDERSTANDING:
The diagram shows equilateral
triangle ABC sharing a side with
square ACDE. The square has
side lengths of 4. What is BE?
Justify your answer.
Graph triangle M (0,0); N (0,3); O (5,0). Find all side
lengths and angle measures.
A
C
E
D
Length of side MO: __________
Length of side MN: __________
Length of side ON: ___________
15) I can correctly identify basic labels on a triangles –
A,B,C representing angles and a,b,c representing the
side opposite each angle.
PROOF OF UNDERSTANDING:
m<MNO: __________
m<NMO: __________
m<NOM: __________
16) I can find the area of a regular polygon. (10.3,
10.5) PROOF OF UNDERSTANDING:
Side a has a length of
__________
What is the area of the pentagon above?
Label angle A.
Label angle B.
Label side c.