Primary Mathematics Scope and Sequence

The scope and sequence for Singapore Math Pimary Mathematics and 2022 Editions programs can be found on the Singapore website here.

The scope and sequence for Singapore Math Pimary Mathematics programs.

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Whole Numbers 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B
Ordinal numbers X                      
Numbers to 20 X                      
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 Numbers 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B
Add/Subt of 2-digit numbers within 20 X                      
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      
Fractions 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B
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 Math 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B
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 Problems 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B
Making add/subt stories X                      
One-step word problems   X X X                
Two-step word problems         X X            
Multi-step word problems                 X X X X
Time 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B
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  
Money 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B
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 Capacity 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B
Measurement in non-standard units X                      
Measurement in meters, centimeters, kilograms, and grams     X                  
Measurement in liters       X                
Add/Subt/Mult/Div of single units     X X                
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 Volume 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B
Area in square units       X                
Perimeter of rectilinear figures           X            
Area and perimeter of squares and rectangles           X X          
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
Geometry 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B
Common 2-dimensional shapes X     X                
Common 3-dimensional shapes       X                
Completing patterns X     X                
Symmetry               X        
Tesselation                   X    
Prisms, pyramids, nets of solids                     X  
Perpendicular and parallel lines             X          
Angles, right angles           X X          
Measuring angles             X   X      
Angle properties of intersecting lines                 X      
Angle properties of triangles, parallelograms, rhombuses, and trapezoids                   X    
Finding unknown angles                   X