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Primary Mathematics Scope and Sequence

Copyright © 2002 [SingaporeMath.com Inc.]

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 numbers

X                      

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