# Numbers and Operations

## Numeracy and confidence are at the heart of math success

Confidence and competency in basic arithmetic lies at the heart of success in math. We believe every kid is capable of mastering arithmetic. However, it is critical that both a good conceptual understanding and a fair degree of proficiency and confidence is established in each skill area before moving on to harder topics.  In math, skills build on each other.

## Numbers and operations activities

Numbers and operations starts with simple number recognition and counting, moves to larger numbers and place value concepts and then continues through the 4 operations to fractions, decimals, percents and concepts around ratios and factoring.

• number recognition
• numbers and counting
• text and numbers
• ordinal numbers
• odd and even numbers
• the number line
• comparing and ordering numbers
• counting by grouping
• place value
• building number sentences
• multiplication and division
• rounding and estimating
• fractions, equivalent fractions, improper fractions
• decimals, percents and ratios
• factors, prime factors and multiples
• least common denominator
• powers of 10 and exponents

## Numbers and operations worksheets

Our free numbers and operations worksheets are organized in the following topic areas:

Learning Numbers

Recognizing and printing numbers, ordinal numbers and odd / even numbers.

Counting

Counting objects, sequential counting, skip counting & counting backwards.

Comparing Numbers

Concepts of more, less, most, and least, comparing groups of objects, comparing numbers & ordering numbers.

Place Value

Base 10 blocks, tens and ones, composing and decomposing numbers, normal and expanded form, place values of up to 6 digit numbers.

Rounding

Rounding numbers of varying sizes to the nearest 10, 100 or other power of 10.

From counting a few objects using pictures up to adding multiple large numbers in columns with regrouping.

Subtraction

From subtracting by "taking away" objects using pictures to subtracting large numbers in columns with regrouping.

Multiplication

From basic multiplication facts to multiplying multi-digit whole numbers in columns.

Division

From basic division facts to long division of whole numbers with/without remainders.

Order of operations (PEMDAS)

Order of operations focused on the 4 operations and use of parenthesis.

Roman numerals

Fractions

From the concepts of "equal parts" through adding, subtracting, multiplying and dividing proper and improper fractions and mixed numbers.

Decimals

From converting simple fractions to/from decimals to the long division of multi-digit decimals.

Factoring & prime factors

Factors, prime factors, greatest common factors (GCFs) and least common multiples (LCMs).

Exponents

Exponent notation including whole number, fractional and decimal bases, negative exponents, equations with exponents.

Proportions

Whole number and decimal proportions and proportion word problems.

Percents

Common calculations involving percents.

Integers

Addition, subtraction, multiplication and division of integers (whole numbers which can be negative or positive).

## Numbers and operations workbooks

Our numbers and operations workbooks are listed below.  Target grade levels are shown on each book cover.  Full descriptions including a table of contents and sample pages are provided in our bookstore.