Year 10‎ > ‎Numbers‎ > ‎Algebra‎ > ‎Measurements‎ > ‎

Trigonometry





 DAYTOPIC NOTES 

NOVEMBER
 

TRIGONOMETRY

 

 



 LEARNING OUTCOME WORK RESOURCES
 Pythagoras

DISCOVER THE RULE

TRIPLETS

IS IT A RIGHT-ANGLED TRIANGLE?


WORKING LONGEST SIDE

WORKING LEG

APPLICATIONS
 DISCOVER RULE

TRIPLETS


IS IT A RIGH-ANGLED?



PYTHAGORAS ANIMATION

PYTHAGORAS PROVE

WORKING HYPOTENUSE

WORKING LEG


PYTHAGORAS APPLICATIONS
 Similar shapes

IDENTIFYING SIMILAR TRIANGLES
WORKING MISSING LENGTHS
 
Similar triangles

 Trigonometry

USING THE TANGENT RATIO
WATER ROCKET EXPERIMENT
USING OTHER RATIOS
WORKING MISSING ANGLES
APPLICATIONS

  
WHY TRIGONOMETRY? (BRILLIANT!)

WHY TRIG (35 MINUTES)

SIMILAR TRIANGLES AND TRIGONOMETRY





APPLICATIONS OUTSIDE CLASSROOM





















































































 LESSONRESOURCES  
 Constructing an equilateral triangle using a compass EQUILATERAL TRIANGLE
 Constructing a parallelogram using your compass PARALLELOGRAMS
 Drawing a perpendicular line segment through a given point  PERPENDICULAR LINE SEGMENT
 Constructing a triangle using a compass given the 3 sides  SSS triangle
 Constructing a triangle given 2 sides and 1 angles  SAS triangle
 Constructing a triangle given a angles and 1 side  ASA triangle
 Constructing regular pentagon using a compass  REGULAR PENTAGON
 Drawing a perfect star  STAR

 Locus of points equidistant from one point   CIRCLE
 Locus of points equidistant from two intersecting lines  BISECTOR
 Locus problems in real life  APPLICATIONS OF LOCI IN THE REAL WORLD(GREAT VIDEO!)
 Finding the centre of a circle  USE COMPASS TO FIND CENTRE
   
   SAMPLES OF 1.8A
 REVISION NUMBERSSINCOS 2007, 2010
REVISION ALGEBRA
 SINCOS 2007, 2010
 
 REVISION GRAPHS SINCOS 2007, 2010 
 REVISION MEASUREMENTS SINCOS 2007, 2010 
 1.8   

This achievement standard involves applying knowledge of geometric representations in solving problems. 

Achievement Criteria for AS91033(1.8)
 Achieve Merit  Excellence 
 Apply knowledge of 
geometric representations 
in solving problems. 
 Apply knowledge of geometric 
representations, using relational thinking, in solving problems. 
Apply knowledge of geometric 
representations, using extended abstract 
thinking, in solving problems

 LessonActivity Resources
-To draw a 3D solid using isometric line paper
-To draw a 3D solid using isometric dotted paper
-To work out the surface area of your 3D solid
-To apply this in a context

 
BOOKLET 
 
 -To use a compass to bisect an angle
-To use a compass to bisect a segment line

  
 -To use a compass to draw an equilateral triangle
-To use a compass to draw an isosceles triangle
-To draw a SSS, SAS, ASA triangle

  
 -To use a compass to draw locus of a point