Primary Mathematics Scope and Sequence

The scope and sequence for Singapore Math Pimary Mathematics programs.

Copyright © 2002 [SingaporeMath.com Inc.]

Whole Numbers1A1B2A2B3A3B4A4B5A5B6A6B
Ordinal numbersX           
Numbers to 20X           
Numbers and place value to 100 X          
Numbers and place value to 1,000  X         
Numbers and place value to 10,000    X       
Numbers and place value to 100,000      X     
Numbers and place value to 10,000,000       X    
Approximation, to nearest 10 / 100      X     
Approximation to, nearest 100 / 1,000        X   

 

Operations on Whole Numbers1A1B2A2B3A3B4A4B5A5B6A6B
Add/Subt of 2-digit numbers within 20X           
Add/Subt of 2-digit numbers within 100 X          
Add/Subt of 3-digit numbers  X         
Add/Subt of 4-digit numbers    X       
Mult/Div concepts X          
Mult/Div of 2's and 3's  X         
Mult/Div of 4's, 5's and 10's   X        
Mult/Div of 6's, 7's, 8's, and 9's    X       
Mult/Div of 3-digit by 1-digit numbers    X       
Estimation in Add/Subt/Mult/Div      X     
Factors and multiples      X     
Mult/Div of 4-digit by 1-digit numbers      X     
Mult of up to 4 digit by 2-digit numbers      X X   
Div of up to 4 digit by 2-digit numbers        X   
Order of operations        X   

 

Fractions1A1B2A2B3A3B4A4B5A5B6A6B
Halves and quarters X X        
Writing fractions   X        
Fraction of a whole     X      
Equivalent fractions     X      
Comparing and ordering unlike fractions     X      
Mixed numbers and improper fractions      X     
Add/Subt of related fractions      X     
Add/Subt of unrelated fractions        X   
Add/Subt of mixed numbers        X   
Product of a fraction and a whole number      X     
Product of fractions        X   
Fraction as division        X   
Div of a fraction by a whole number        X   
Informal division of fractions         X  

 

Mental Math1A1B2A2B3A3B4A4B5A5B6A6B
Add/Subt of 1-digit numbersX           
Add/Subt of 2-digit numbers and 1's and 10's X          
Add/Subt of 2-digit numbers, no regrouping X          
Add/Subt of 3-digit numbers and 1's, 10's, and 100's   X        
Add/Subt of 99 and 98   X        
Make 100   X        
Add/Subt of all 2-digit numbers     X      
Mult of 10s and 100s by a 1-digit number     X      
Div of up to 4 digits by a 1-digit number, no remainder     X      
Mult/Div of whole numbers by 10's, 100's, 1000's        X   
Mult/Div of numbers up to 3 decimal places by 10's, 100's, 1000's         X  

 

Word Problems1A1B2A2B3A3B4A4B5A5B6A6B
Making add/subt storiesX           
One-step word problems XXX        
Two-step word problems    XX      
Multi-step word problems        XXXX

 

Time1A1B2A2B3A3B4A4B5A5B6A6B
Time to the half-hour X          
Time to minutes   X        
Time intervals, 12-hour clock   X        
Conversion of time units using multiplication     X  X   
Add/Subt of compound units     X      
Mult/Div of compound units       X    
Conversion using division and fractions        X   
Conversion using decimals         X  
Time intervals, 24-hour clock          X 

 

Money1A1B2A2B3A3B4A4B5A5B6A6B
Dollars and cents, Add/Subt X          
Add/Subt of compound units   X        
Decimal notation, Add/Subt of money in decimal notation    X       
Mult/Div of compound units       X    

 

Length, Mass, and Capacity1A1B2A2B3A3B4A4B5A5B6A6B
Measurement in non-standard unitsX           
Measurement in meters, centimeters, kilograms, and grams  X         
Measurement in liters   X        
Add/Subt/Mult/Div of single units  XX        
Add/Subt of compound units     X      
Mult/Div of compound units       X    
Conversion using multiplication     X  X   
Conversion using division and fractions        X   
Conversion using decimals         X  

 

Perimeter, Area, and Volume1A1B2A2B3A3B4A4B5A5B6A6B
Area in square units   X        
Perimeter of rectilinear figures     X      
Area and perimeter of squares and rectangles     XX     
Area and perimeter of composite figures related to squares and rectangles      X     
Area of a triangle         X  
Area and circumference of circles           X
Area and perimeter of composite figures related to squares, rectangles, triangles, and circles           X
Counting unit cubes in 2-D representations
of 3-D solids		       X    
Volume in cubic units, milliliters, and liters       X X  
Finding unknown sides of cubes and rectangular prisms         X  
Finding the volume of solids by displacement         X X

 

Geometry1A1B2A2B3A3B4A4B5A5B6A6B
Common 2-dimensional shapesX  X        
Common 3-dimensional shapes   X        
Completing patternsX  X        
Symmetry       X    
Tesselation         X  
Prisms, pyramids, nets of solids          X 
Perpendicular and parallel lines      X     
Angles, right angles     XX     
Measuring angles      X X   
Angle properties of intersecting lines        X   
Angle properties of triangles, parallelograms, rhombuses, and trapezoids         X  
Finding unknown angles         X