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Primary Mathematics 3rd Edition Scope and Sequence
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Scope and Sequence may be printed out and used by individuals at no cost. They may not be copied or incorporated into any other document.  Please see terms of use for more information.

 

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

 

 

 

 

Tessellation

 

 

 

 

 

 

 

 

 

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

Geometrical construction

 

 

 

 

 

 

X

 

 

X

 

 

 

Tables and Graphs

1A

1B

2A

2B

3A

3B

4A

4B

5A

5B

6A

6B

Picture graphs

 

X

 

X

 

 

 

 

 

 

 

 

Bar graphs

 

 

 

 

 

X

X

 

 

 

 

 

Tables

 

 

 

 

 

 

X

 

 

 

 

 

Line graphs

 

 

 

 

 

 

 

 

 

X

 

 

Pie charts

 

 

 

 

 

 

 

 

 

 

 

X

 

Decimals

1A

1B

2A

2B

3A

3B

4A

4B

5A

5B

6A

6B

Tenths, hundredths, thousandths

 

 

 

 

 

 

 

X

 

 

 

 

Conversion between decimals and fractions

 

 

 

 

 

 

 

X

 

 

 

 

Approximation to the nearest whole number, to 1-decimal place

 

 

 

 

 

 

 

X

 

 

 

 

Approximation, to 2-decimal places

 

 

 

 

 

 

 

 

 

X

 

 

Add/Subt of numbers, up to 2 decimal places

 

 

 

 

 

 

 

X

 

 

 

 

Estimation in Add/Subt/Mult/Div

 

 

 

 

 

 

 

 

 

X

 

 

Mult/Div of numbers up to 2 decimal places
by a 1-digit whole number

 

 

 

 

 

 

 

X

 

 

 

 

Mult/Div of numbers up to 2-decimal places
by a 2-digit whole number

 

 

 

 

 

 

 

 

 

X

 

 

 

Percentage

1A

1B

2A

2B

3A

3B

4A

4B

5A

5B

6A

6B

Concept of percentage, expressing fractions and decimals as percentages

 

 

 

 

 

 

 

 

 

X

 

 

Percentage of a quantity

 

 

 

 

 

 

 

 

 

X

X

 

One quantity as a percentage of another

 

 

 

 

 

 

 

 

 

 

X

 

Percentage problems

 

 

 

 

 

 

 

 

 

 

X

 

 

Ratio and Proportion

1A

1B

2A

2B

3A

3B

4A

4B

5A

5B

6A

6B

Ratio and equivalent ratio

 

 

 

 

 

 

 

 

X

 

 

 

Ratio and fraction

 

 

 

 

 

 

 

 

 

 

X

 

Ratio and proportion

 

 

 

 

 

 

 

 

 

 

X

 

Changing ratio

 

 

 

 

 

 

 

 

 

 

X

 

 

Average/Rate/Speed

1A

1B

2A

2B

3A

3B

4A

4B

5A

5B

6A

6B

Average

 

 

 

 

 

 

 

 

 

X

 

 

Rate

 

 

 

 

 

 

 

 

 

X

 

X

Speed

 

 

 

 

 

 

 

 

 

 

X

 

 

Algebra

1A

1B

2A

2B

3A

3B

4A

4B

5A

5B

6A

6B

Algebraic expression, simplification, evaluation

 

 

 

 

 

 

 

 

 

 

X

 

Modeling of algebraic concepts         X X  X X X X X X

Scope and Sequence may be printed out and used by individuals at no cost. They may not be copied or incorporated into any other document.  Please see terms of use for more information.