Math A3 – Regents

 

1.     Rational Expressions                                                                (7 days)

A.     Undefined, =0, =1

B.     Simplifies

C.     Add, subtract

D.     Multiply, divide

2.      Probability                                                                                                      (15 days)

A.  Single Events                                                               

B.     Impossible Events/Certain Events                                 

C.     Single Events containing ‘or’                                        

D.     Single Events containing ‘and’                          

E.      Complement (not)                                                        

F.      Counting Principle                                                        

G.     Tree Diagrams/Sample Space                                      

H.     Permutations and Factorials                                                                             

1.      With Replacement

2.      Without Replacement

I.        Multiple Events – from probability (and)                       

J.       Combinations                                                              

K.    Probability of Multiple Events -                                                
using Permutations and Combinations

3.     Statistics

A.     Measures of central tendency (mean, median, mode)

B.     Histograms

C.     Cumulative histograms

D.     Upper and lower quartiles

E.      Percentiles

F.      Circle Graphs

G.     Box Plots

H.     Stem and Leaf

4.     Constructions                                                                           (3 days)                   
                  A.  6 Basic Constructions        

5.     Transformational Geometry                                                                      (7 days)

A.     Line reflections and symmetry –                                           
identify and graph

B.     Point reflections and symmetry –                                                                  
 identify and graph

C.     Translations – identify and graph                                          

D.     Rotations and symmetry –                                                    
identify and graph

E.      Dilations – identify and graph                                               

F.      Composition (no notation)

6.     Geometry  -(Split into 4 different tests)                                         (30 days)
           A.  Definitions                                                                                                               

           B.   Sides of a Triangle                                                                   

1.  The sum of the 2 smaller sides
           of a triangle must be greater
           than the 3^rd (largest) side.

2.   Pythagorean Theorem                                            

3.   Applications of the Pythagorean                                     
            Theorem

C.        Area and Perimeter                                                                  

1.   Circles (Circumference and Area)                                

2.      Quadrilaterals                                                              

3.      Triangles                                                                      

4.      Enclosed Areas                                                           

5.      Volume of Solids                                                        
(Study of solids: classification of
 prism, rectangular solid, pyramid,
right circular cylinder, cone and sphere. 
Taken directly from Mathematics
Resource Guide with Core Curriculum
 N.Y.S. Ed. Dept.)

 D. Pairs of Angles                                                            

1.      Vertical

2.      Complementary

3.      Supplementary

4.      Parallel Lines

E.      Triangles                                                                                  

1.   Types of . . .

2.      Angles of . . .

3.   Exterior Angles of . . .

F.   Quadrilaterals                                                                          
       (Definitions, Properties and Applications)

1.      Parallelogram

2.      Rectangle

3.   Rhombus

4.   Square

5.   Trapezoid

6.   Isosceles Trapezoid

G.  Interior and Exterior Angles of Regular Polygons                      

7.        Locus and Circles                                                                                         (6 days)

A.     Simple Locus – Basic Five                                                                   

B.     Compound                                                                              

C.     Equation of a Circle                                                                 

1)                  Center at (0,0) . . .  . . . x² + y² = r²

2)                  Center at (h, k) . . (x – h)² + (y – k)² = r²

                  D.  Graph of a Circle