“ success in math is considered a gateway to many educational and occupational opportunities ”
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“ Success in math is considered a gateway to many educational and occupational opportunities ”. (Jetter, 1993). GRANT UNION HIGH SCHOOL. Title I school 2,000 – 2,200 student population 90% of students have free lunch (low social economic status) - PowerPoint PPT PresentationTRANSCRIPT
“Success in math is considered a gateway to many educational and occupational opportunities”. (Jetter, 1993)
GRANT UNION HIGH SCHOOL
• Title I school
• 2,000 – 2,200 student population
• 90% of students have free lunch (low social economic status)
• 40% of student population are English Language Learners (Hispanic; Hmong and Lao refugees)are Special Education
• At least 30% of students don’t live with parents (foster home, relatives)
• Math skills of at least 50% of student population is 1 to 2 grade levels behind
COLLABORATION GOALS
• 70% of students in each class achieve in math
• Weekly collaboration to discuss lesson delivery, teaching strategies, assessment results, and make revisions to plans as needed
• Standards-driven reform is the primary approach
• Activate student conceptual knowledge when presented with a real-life problem solving situation
• Improve student motivation, participation, and generalization skills of students
TEACHER COLLABORATION
• Involves teachers of same subject matter
• Weekly collaboration to discuss lesson delivery, teaching strategies, assessment results, and make revisions to plans as needed
• Standards-driven reform is the primary approach
• Planning for curriculum, pacing, common formative assessments, sharing of best practices during summer break
IN 140 B.C. HIPPARCHUS
BEGAN TO USE AND WRITE
TRIGONOMETRY在公元前 140 年希帕庫斯
( Hipparchus )就已经开始使用三角法并撰写相关著作了。
OBJECTIVES:
1. TO FIND TRIGOMETRIC RATIOS OF A RIGHT TRIANGLE.
2. TO FIND VALUES OF TRIGOMETRIC FUNCTIONS.
3. TO APPLY THE TRIGOMETRIC FUNCTIONS TO SOLVE RIGHT -TRIANGLE
PROBLEMS.
90
•WE WILL DEAL ONLY WITH RIGHT TRIANGLES
RIGHT TRIANGLES MUST HAVE A 90 DEGREE ANGLE
我们将只对直角三角形进行说明
直角三角形必须有一个 90 度的角。
LEG ADJACENT TO B
LEG OPPOSITE TO B
HYPOTENUSE
SINE OF B = LENGTH OF LEG OPPOSITE B LENGTH OF HYPOTENUSE
COSINE OF B = LENGTH OF LEG ADJACENT TO B
LENGTH OF HYPOTENUSE
TANGENT OF B = LENGTH OF LEG OPPOSITE B
LENGTH OF LEG ADJACENT TO B
B
SAMPLE RIGHT TRIANGLE PROBLEMS
直角三角形例子
a
cb
Ø
A.) sin Ø = _______
B.) cos Ø = _______
C.) tan Ø = _______
1.) x
yz
20
30 60
Find the values to the nearest tenth of:
A.) XY = ________
B.) YZ = ________
b/c
a/c
b/a
11.5
23.1
To avoid a steep descent, a plane flying at 30,000 ft. starts its descent 130 miles away from the airport. For the angle of descent Ø, to be constant, at what angle should the plane descend?
APPLICATIONS:
An observer 5.2 km from a launch pad observes a rocket ascending.
A. At a particular time the angle of elevation is 37 degrees. How high is the rocket?
B. How far is the observer from the rocket?
C. What will the angle of elevation be when the rocket reaches 30 km?
一个观测员在离发射台 5.2 km 的地方观测火箭升空。
A. 在某一时刻,仰角是 37 度,这时火箭离地面多高?
B. 这一时刻观测员离火箭多远?
C. 当火箭到达 30 km 高空时,仰角是多少?
A. How far north of its original position is the ship?
B. How far east of its original position is the ship?
A ship sails 340 kilometers on a bearing of 75 degrees.
BY THE STUDY OF TRIGONOMETRY----------
YOU TOO COULD REACH FOR THE STARS!!!!!!!!!!!
BE A ROCKET!!!!!!!
REACH FOR THE STARS!
BY THE STUDY OF TRIGONOMETRY----------
YOU TOO COULD REACH FOR THE STARS!!!!!!!!!!!
BE A ROCKET!!!!!!!
REACH FOR THE STARS!