Primary Mathematics Scope and Sequence

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    
X
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