 | 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) |
Whole Numbers
| 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) |
Fractions
| Identify
equal parts of a region (halves, thirds, fourths) |
| Represent
fractions by using models and drawings |
Ordering, Equalities and Inequalities
| Compare
and order numbers and sets of objects 0-10 |
New
Vocabulary in this Range: how many
New
Signs and Symbols: for
answer
Whole Numbers
| Identify missing numbers in a series through 100 |
| 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 |
Fractions
| Identify
one-half of an object from a picture |
Place Value
| Identify
and understand the place value and value of each digit in numbers through
the hundreds |
Ordering, Equalities and Inequalities
| Order
numbers 0-100 |
New
Vocabulary in this Range: ones, tens, hundreds, thousands, numeral, ordinal numbers through
eleventh, counting
New
Signs and Symbols: none
Whole Numbers
| 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 |
Fractions
| Identify one-half of an object or set |
| Identify
fractional parts of a region or group |
Place Value, Expanded and Standard Notation
| Write
numerals in expanded form through the thousands place |
Ordering, Equalities and Inequalities
| Use
> or < symbols to compare two numbers |
New
Vocabulary in this Range: even numbers, same as, fewest
New
Signs and Symbols: < and > signs, = sign
Whole 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 |
Fractions
| Separate
regions into sub regions that are equivalent (halves, thirds, fourths) |
| Change
a fractional numeral to its simplest form (lowest terms) |
Decimals
· Identify the greater or lesser of two decimals
Place Value, Expanded and Standard Notation
| Match number words to numerals to the ten thousands place |
| Identify and understand the place value and value of each digit in numbers through the hundred thousands |
| Add
whole numbers using place value |
| Identify
and understand place value for decimals (tenths, hundredths, and
thousandths) |
Ordering, Equalities and Inequalities
| 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 |
New
Vocabulary in this Range: first, second, third, etc., odd, one-fourth, one-half, reduce,
fractions, order, divisible, round, smallest, largest, lowest terms, greatest
common factor, least common multiple, closest, units, set, digit, greater than,
greatest
New
Signs and Symbols: none
Whole Numbers
| 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* |
Fractions, Ratio and Proportion
| 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 |
| Solve proportions using the cross product method* |
Decimals
| Write
a decimal for a shaded region (to tenths place) |
| Identify
and understand place value for decimals (tenths, hundredths, and
thousandths) |
Percents
| Model
percents using a 10 x 10 grid |
| Write
a decimal or fraction as a percent and vice versa |
Place Value, Expanded and Standard Notation
| 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 |
· Add whole numbers using place value
Ordering, Equalities and Inequalities
· Identify and understand the greater or lesser of two numerals (use the symbols < and > through 999,999)
| Compare
and order fractions and mixed numbers |
Exponents
| Exponential
representation of 3 multiplied numbers (2x2x2) |
New
Vocabulary in this Range: thirds, fourths, rounded, thousands, exponential form, mixed number,
improper fraction, lowest common denominator, percent, expanded form, prime,
factor, proportion
New
Signs and Symbols: use of dot as a multiplication symbol
Whole Numbers
| 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 |
Fractions, Ratio and Proportion
| 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 |
Decimals
| 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 |
Percents
| Find
a percent of a number |
| Write
a decimal or fraction as a percent or vice versa |
Place Value, Expanded and Standard Notation
| Understand and identify the place value and value of each digit in numerals through the billions |
| Write the word name for a decimal and vice versa |
| Write
numerals in expanded form through the hundred billions |
Ordering, Equalities and Inequalities
| Order numbers from least to greatest and greatest to least |
| Compare
and order numbers through the billions |
| Order decimals and fractions to the hundred thousandths |
| 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 |
Exponents and Scientific Notation
| Write
whole number in exponential form and compute the power of a number |
New
Vocabulary in this Range: missing number, pentagon, simplest fraction, biggest, hundredths, one
less, decimal numeral, squared, divisible, inequality, expanded numeral,
equivalent, point, standard numeral, sequence
New
Signs and Symbols: + used as positive symbol, - used as negative symbol
Whole Numbers
| 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 |
Fractions, Ratio and Proportion
| Write
improper fractions from picture presentations |
| Change
a fractional numeral to its simplest form (lowest terms) |
Decimals
| Round monetary amounts to the nearest single coin or bill which could be used to pay for a purchase up to and including $20.00 |
| Write
the decimal equivalent of a fraction and label as repeating or terminating |
Percents
| Express
a fraction as a decimal and as a percent |
Ordering, Equalities and Inequalities
| 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 |
Exponents and Scientific Notation
| Order
of “powers” |
| Write
a whole number or a decimal in scientific notation |
| Write
a number expressed in scientific notation in standard form |
New
Vocabulary in this Range: counting number, portion, fractional part, lowest terms, reciprocal,
order, scientific notation, prime factorization, not prime, factor tree, common
multiples, greatest common denominator, equivalent, nearest dollar
New
Signs and Symbols: square root symbol
Fractions, Ratio and Proportion
| Model
and write numerical fractions |
| Understand
the concept of ratio using concrete and pictorial models |
| Identify the least common denominator for 3 or more fractions: list the multiples or prime factorization |
| 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 |
Decimals
| Identify
and order decimal and fractional coordinates on a number line |
Percents
| Write
a ratio (fraction) as a percent and a percent as a ratio (fraction):
denominators of 100 |
Integers
| Understand
the meaning of integers |
Place
Value, Expanded and Standard Notation
| Match
word names to numerals to the hundred thousands in decimals |
Ordering, Equalities and Inequalities
| Order
a set of integers from least to greatest |
Exponents and Scientific Notation
| Identify
and use powers of 10 |
Square Roots
| Evaluate
expressions using square roots |
New
Vocabulary in this Range: always true, proportion, multiply, between, tens digit, standard
numeral, ratio
New
Signs and Symbols: none
Fractions, Ratio and Proportion
| Define ratio |
| Write ratios in a variety of ways |
Decimals
| Write a decimal or mixed decimal for a fraction |
| Write a whole number or a decimal in scientific notation (negative exponents) |
Place
Value, Expanded and Standard Notation
| Write numerals in expanded form through the billions |
| Understand and identify place value and value of each digit in numerals through the hundred billions |
Exponents and Scientific Notation
| Evaluate
expressions using the order of operations that include exponents |
| Find
products by applying rules for exponents |
Square Roots
| Identify
perfect squares in a list of numbers and calculate the positive square root
of a perfect square |
New
Vocabulary in this Range: none
New
Signs and Symbols: none
Square Roots
| Evaluate
expressions using square roots |
New
Vocabulary in this Range: Base ten, prime factors
New
Signs and Symbols: none
Exponents and Scientific Notation
| Evaluate powers with a negative exponent |
New
Vocabulary in this Range: none
New
Signs and Symbols: none
Percents
| Change
a percent to a fraction (including mixed numbers) |
Square Roots
| Understand
properties of square roots |
Irrational Numbers
| Define
irrational numbers |
New
Vocabulary in this Range: infinite non-repeating decimal
New
Signs and Symbols: none
Exponents and Scientific Notation
| Evaluate
power of zero |
| Identify
the lowest common multiple of numbers in their prime factored state |
Set
Notation
| Use
inequalities to represent set notation |
New
Vocabulary in this Range: none
New Signs and Symbols: none