Match sets of objects to numerals 0-40 to demonstrate an understanding of one-to-one correspondence

Identify and count numbers 0-20

Identify and order ordinal numbers (first to tenth)

Identify equal parts of a region (halves, thirds, fourths)

Represent fractions by using models and drawings

Compare and order numbers and sets of objects 0-10

Identify the number that is “one more than”, “one less than”, “10 more than”, and “10 less than” a given number

Count objects that are grouped into tens and ones

Identify one-half of an object from a picture

Identify and understand the place value and value of each digit in numbers through the hundreds

Order numbers 0-100

Compare two or more sets of objects (up to ten objects in each group) and identify which set is equal to, more than, or less than the other

Count and write by 10’s to 100

Compare, group, and order whole numbers to 100 by using the symbols for “less than”, equal to”, and “greater than” (<, =, >)

Distinguish between odd and even numbers

Count by 2’s to 20

Identify fractional parts of a region or group

Write numerals in expanded form through the thousands place

Use > or < symbols to compare two numbers

Identify one more and one fewer

Count and write by 2’s and 3’s

Complete a number pattern

Round 2- and 3-digit numbers to the nearest hundred and tens

Identify the value of Roman Numerals using I, V, and X

Apply rules of divisibility by 5

Identify the greatest common factor of two whole numbers each of which is less than 100

List some common multiples of two whole numbers

Separate regions into sub regions that are equivalent (halves, thirds, fourths)

Change a fractional numeral to its simplest form (lowest terms)

Match number words to numerals to the ten thousands place

Add whole numbers using place value

Identify and understand place value for decimals (tenths, hundredths, and thousandths)

Order sets of objects 0-20

Identify the greater or lesser of two numerals

Order numerals through 999

Identify the numeral that comes before, between, or after any given numeral through 999

Compare and order fractions*

Compare and order decimals to the hundredths place

Order numerals through 9999

Count and convert to dozens

Round 4- and 5-digit numbers to the nearest hundred thousand, thousand, hundred or ten

Identify numbers as prime or composite

Apply rules of divisibility by 2’s

Complete a factor tree for a number (prime factorization)*

Understand and demonstrate that many whole numbers break down in different ways (e.g., 12 = 4 x 3 = 2 x 6 = 2 x 2 x 3)

Identify the least common multiple of two whole numbers*

Write equivalent fractions using pictorial representation

Find equivalent fractions using multiples and factors*

Write mixed numbers as improper fractions and improper fractions as mixed numbers*

Identify the least (lowest) common denominator of two fractions

Express a fraction as a decimal and vice versa

Write a decimal for a shaded region (to tenths place)

Identify and understand place value for decimals (tenths, hundredths, and thousandths)

Model percents using a 10 x 10 grid

Write a decimal or fraction as a percent and vice versa

Identify the number and written word for ordinal numbers

Write numerals in expanded form through the hundred thousands

Match word names to numerals through billions

Identify place value using model to count

Compare and order fractions and mixed numbers

Exponential representation of 3 multiplied numbers (2x2x2)

Round to the nearest millions and billions

Apply rules of divisibility

Identify the greatest common factor of two whole numbers each of which is less than 100

Write the Roman numeral equivalent of Arabic numbers 1-2000 and vice versa

Change a fractional numeral to its simplest form (lowest terms)

Write the missing number in two equivalent ratios

Use a number line to identify a fractional point

Write a decimal for a shaded region (hundredths)

Write a terminating decimal as a fraction or mixed number

Round decimals to nearest whole number, tenth, hundredth, or thousandth

Multiply a decimal by multiples of 10, 100, or 1000

Find a percent of a number

Write a decimal or fraction as a percent or vice versa

Understand and identify the place value and value of each digit in numerals through the billions

Write numerals in expanded form through the hundred billions

Compare and order numbers through the billions

Identify the greater or lesser of 2 integers

Ordering integers that include fractions and wholes

Translate verbal statements into equations (all four operations; several operations)

Ordering exponential values

Write whole number in exponential form and compute the power of a number

Understand and use rules of divisibility

Identify the greatest common factor of two whole numbers: list the factors or prime factorization

Identify the greatest common factor and least common multiple of two whole numbers

Write improper fractions from picture presentations

Change a fractional numeral to its simplest form (lowest terms)

Write the decimal equivalent of a fraction and label as repeating or terminating

Express a fraction as a decimal and as a percent

Compare and order fractions with the same denominator and with different denominators

Order decimals to thousandths; identify the greater or lesser of two decimals to thousandths

Order of “powers”

Write a whole number or a decimal in scientific notation

Write a number expressed in scientific notation in standard form

Model and write numerical fractions

Understand the concept of ratio using concrete and pictorial models

Determine if a pair of ratios is equal or not equal using the equivalent fractions method

Write the missing number in 2 equivalent ratios

Solve proportions using the cross product method

Identify and order decimal and fractional coordinates on a number line

Write a ratio (fraction) as a percent and a percent as a ratio (fraction): denominators of 100

Understand the meaning of integers

Match word names to numerals to the hundred thousands in decimals

Order a set of integers from least to greatest

Identify and use powers of 10

Evaluate expressions using square roots

Define ratio

Write ratios in a variety of ways

Write a decimal or mixed decimal for a fraction

Write a whole number or a decimal in scientific notation (negative exponents)

Write numerals in expanded form through the billions

Understand and identify place value and value of each digit in numerals through the hundred billions

Identify perfect squares in a list of numbers and calculate the positive square root of a perfect square

Evaluate expressions using square roots

Evaluate powers with a negative exponent

Change a percent to a fraction (including mixed numbers)

Understand properties of square roots

Define irrational numbers

Evaluate power of zero

Identify the lowest common multiple of numbers in their prime factored state

Use inequalities to represent set notation

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