RIT Above 271:• Identifies the least common multiple of numbers in their prime factored state
RIT 261-270:• Defines "irrational numbers"
VOCABULARY: • Non-repeating decimal, • Rational number, • Repeating, • Repeating decimal
SIGNS AND SYMBOLS: • Square root symbol
RIT 251-260:• Expresses a percent over 100 or under 1 as a fraction in lowest terms and vice versa
• Writes a rational number in scientific notation • Uses fractional and negative exponents as optional ways of representing problem situations (e.g., 27^2/3 = (27^1/3)^2 = 9)
• Uses factor and multiple concepts to solve difficult problems & prime and relatively prime concepts to solve problems
• Solves problems using multiple number theory concepts (e.g., prime, GCF and LCM, multiples, factors)
SIGNS AND SYMBOLS: • ( ) Parenthesis around an integer
RIT 241-250:• Expresses the equivalent form of a fraction, decimal, and/or percent (complex fraction) • Recognizes and writes ratios
• Writes a number expressed in scientific notation in standard form & a whole number in scientific notation & a decimal in scientific notation
• Determines the prime factorization of a number using powers
• Identifies the least common multiple of whole numbers & the greatest common factor and least common multiple of multiple whole numbers
• Uses factor and multiple concepts to solve difficult problems
VOCABULARY: • Least Common Multiple
SIGNS AND SYMBOLS: • LCM Lowest Common Multiple
RIT 231-240:• Writes whole numbers in standard and exponential form & a fraction as a decimal and vice versa and as a mixed decimal and vice versa • Writes a ratio as a decimal and vice versa and as a percent and vice versa & a number expressed in scientific notation in standard form
• Writes a whole number in scientific notation & a decimal in scientific notation
• Expresses a decimal as a whole number (e.g., 1.3 thousand = ?) & a percent as a fraction and vice versa
• Compares and orders decimal and fractional coordinates on a number line & difficult fractions (e.g., comparing numerators and denominators)
• Compares and orders rational numbers, percent , and fractions, decimals, and percents
• Compares numbers written exponentially
• Estimates relative magnitude of fractions, decimals, and percents & percent using 2-D regions
• Rounds decimals to the nearest hundredth, nearest thousandth, and nearest ten-thousandth
• Orders fractions, decimals, and integers on a number line
• Represents problems using concepts of absolute value
• Recognizes and writes ratios
• Uses powers of 10 to represent numbers (e.g., 8 x 10^3 = 8000) & correct terminology for powers
• Applies rules for multiplying and dividing powers & rules of divisibility by 3's and rules of divisibility
• Determines the prime factorization of a number
VOCABULARY: • Cubed, • Miles per second, • Prime factor, • Prime factorization, • Scientific notation, • Square region, • Tenth power
SIGNS AND SYMBOLS: • || Absolute value, • ft Feet, • : Ratio
RIT 221-230:• Writes whole numbers in standard and exponential form & a decimal for a shaded region (to the hundredths place)• Writes a simple mixed fraction as a decimal and vice versa & a fraction or mixed number as a decimal when the denominator is a multiple of 10
• Writes a ratio as a decimal and vice versa and as a percent and vice versa &
• Writes the missing number in a proportion with numbers other than basic facts (e.g., 5/13=?/117) • Writes a power as a product of multiplied numbers and vice versa (e.g., 2^4 = 2 x 2 x 2 x 2)
• Decomposes equivalent forms of whole numbers using place value over the hundreds
• Orders whole numbers through the billions using symbols & fractions on a number line & a set of integers
• Rounds whole numbers to the nearest million and nearest billion & decimals to the nearest hundredth
• Determines the relative magnitude of whole numbers & simple equivalent fractions using multiples & equivalent fractions using multiples
• Determines factors of whole numbers & common denominators of fractions
• Uses alternative algorithms to explain the meaning of "fraction" & concrete and pictorial models to represent ratios
• Uses powers to represent 10, 100, 1000, 10,000, and 100,000 & powers of 10 to represent numbers (e.g., 8 x 10^3 = 8000)
• Uses factor and multiple concepts to solve simple problems & divisibility concepts to solve problems
• Uses multiple number theory concepts to solve problems (e.g., factors, digits, odd/even, divisibility)
• Identifies the place value and value of each digit to the hundredths and thousandths & in numbers through the ten thousandths and beyond
• Identifies the numeral and written name for decimals to the thousandths place and the hundred thousandths place
• Identifies the percent represented in a given model & common factors of two or more numbers & the greatest common factor of whole numbers
• Expresses a percent as a fraction and vice versa & the equivalent form of a fraction, decimal, and/or percent (simple fraction)
• Reduces equivalent fractions using visual representations
• Compares and orders difficult fractions (e.g., comparing numerators and denominators) and fractions and decimals to the hundred thousandths
• Compares and orders decimals to the hundredths place and thousandths place (not same number of digits after decimal)
• Compares and orders decimals past the thousandths place & rational numbers
• Compares two integers & numbers written exponentially
• Locates rational numbers on a number line
• Defines "absolute value"
• Recognizes characteristics of odd and even numbers
• Completes a factor tree for a number (prime factorization)
VOCABULARY: • Absolute value, • Common denominator, • Expanded notation, • Exponent, • Least common denominator,
• Lowest common denominator, • Real number, • Ten million, • Ten thousandth, • Thousandths
SIGNS AND SYMBOLS: • lb Pound, • • Multiplication symbol, • # Number, • ° ºC, • ° ºF
RIT 211-220:• Identifies the numeral and written name for whole numbers through the hundred thousands and for decimals to the hundredths place
• Identifies the place value and value of each digit to the tenths & the percent represented in a 2-D region
• Identifies numbers as prime & common factors of two or more numbers & the greatest common factor of whole numbers
• Writes whole numbers in standard and expanded form through the hundred thousands & a fraction from a non-traditional model
• Writes improper fractions and mixed numbers from a visual representation & a decimal for a shaded region (to the tenths place)
• Writes a basic percent as a decimal and vice versa & as a fraction and vice versa (e.g., 10%, 25%, 50%, 100%)
• Writes a simple mixed fraction as a decimal and vice versa & a fraction or mixed number as a decimal when the denominator is a multiple of 10
• Writes mixed numbers as improper fractions and improper fractions as mixed numbers
• Writes a power as a product of multiplied numbers and vice versa (e.g., 2^4 = 2 x 2 x 2 x 2)
• Uses 2- and 3-D models to identify whole numbers less than 1000 and over 999
• Uses simple concepts of negative numbers (e.g., on a number line, in counting, in temperature) & powers to represent 10, 100, 1000, 10,000, and 100,000
• Uses correct terminology for integers & concrete and pictorial models to represent proportions • Expresses "1" in many different ways (e.g., 3/3, 4/4) & improper fractions as whole numbers (e.g., 4/2=2) & a simple fraction as a decimal• Expresses a percent as a fraction with 100 as the denominator and vice versa & a percent as a decimal and vice versa • Rounds 4-, 5-, and 6-digit whole numbers to the nearest ten thousand, the nearest thousand, and the nearest hundred
• Rounds decimals to the nearest whole number and to the nearest tenth
• Explains different interpretations of fractions (e.g., parts of a whole, parts of a set, and division of whole numbers by whole numbers)
• Applies base ten place value concepts to solve problems using decimals (analysis) & rules of divisibility by 5's
• Determines simple equivalent fractions using multiples & factors of whole numbers & multiples of a whole number & common multiples of whole numbers
• Converts fractions to lowest terms
• Compares fractions greater than or less than a given fraction using visual representations & fractions on a number line & two integers
• Compares and orders fractions and mixed numbers & fractions and mixed numbers using symbols
• Reduces equivalent fractions using visual representations• Orders decimals on a number line and integers on a number line • Recognizes and writes proportions• Recognizes characteristics of odd and even numbers
• Completes a factor tree for a number (prime factorization)
VOCABULARY: • Common factor, • Decimal, • Decimal form, • Decimal point, • Expression, • Factor tree, • Greatest common factor,
• Lowest terms, • Negative, • Positive, • Region, • Standard form
SIGNS AND SYMBOLS: • –, • ÷ Division, • ≠ Not equal to, • % Percent, • + Positive number
RIT 201-210:• Solves problems using ordinal numbers
• Identifies the numeral and written name for whole numbers with a zero between digits to the ten thousands place
• Identifies the numeral and written name for whole numbers through the hundred thousands and through the billions
• Identifies the whole number that comes before and after any given number through 999 and whole numbers over 999 using base-10 blocks
• Identifies the place value and value of each digit in whole numbers through the billions
• Identifies halves of a region using nonadjacent parts & the place value and value of each digit to the tenths
• Writes whole numbers using place value terms and vice versa & whole numbers in standard and expanded form through the hundred thousands
• Writes a terminating decimal as a fraction or mixed number & mixed numbers as improper fractions and improper fractions as mixed numbers
• Writes the missing number in a proportion using basic facts
• Applies base ten place value concepts with whole numbers to solve problems & rules of divisibility by 5's and by 2’s
• Constructs equivalent forms of whole numbers using place value (e.g., 54 = 4 tens and 14 ones)
• Compares whole numbers through 999,999 & whole numbers using the symbols <, >, or = through the billions
• Compares and orders simple fractions (e.g., common denominator, 1 in the numerator) & decimals integers and on a number line
• Orders whole numbers through 9999 and through the billions
• Rounds 4-, 5-, and 6-digit whole numbers to the nearest thousand and to the nearest hundred and to the nearest ten
• Rounds whole numbers to the nearest hundred thousand & decimals to the nearest whole number
• Explains the rules for rounding
• Converts a basic fractional numeral to lowest terms (e.g., halves, thirds, quarters)
• Orders integers on a number line
• Finds equivalent combinations of dollars and cents with the same value
• Models square numbers
• Determines multiples of a whole number & common multiples of whole numbers
VOCABULARY: • Biggest, • Common multiple, • Divisible, • Expanded numeral, • Hundred thousands, • Hundredth, • Integer, • Larger,
• Mixed number, • Mixed numeral, • Multiple, • Place value, • Ten thousands, • Twice
SIGNS AND SYMBOLS: • - Negative number
RIT 191-200:• Solves problems using ordinal numbers
• Identifies the numeral and written name for ordinal numbers 0-100th & for whole numbers w/ a zero between digits to the ten thousands place
• Identifies the numeral and written name for whole numbers through the hundred thousands and through the billions
• Identifies the place value and value of each digit in whole numbers through the thousands and through the hundred thousands
• Identifies whole numbers 0-999 using base-10 blocks and over 999 using base-10 blocks
• Identifies fractional parts of a group or set & fourths of a region & thirds of a region
• Identifies tenths and eighths from a visual representation & a decimal on a number line & numbers as composite
• Identifies the value of a collection of coins to $1.00 (without picture of coins) & of coins and bills to $10.00 by "counting on" (without picture of money)
• Identifies the value of a collection of coins and bills to $100.00 by "counting on"
• Writes whole numbers using place value terms and vice versa to the hundreds place (e.g., 30 is 3 tens) & a fraction from a visual representation
• Writes whole numbers in standard and expanded form through the hundreds and through the thousands
• Writes the missing number in a proportion using basic facts
• Uses decomposing strategies to compute with whole numbers & a number line to identify a fractional point• Constructs equivalent forms of whole numbers (e.g., 12 = 4 x 3 = 2 x 6 = 2 x 2 x 3) • Compares sets of objects and identifies which is equal to, more than, or less than the other & whole numbers through 999,999
• Compares whole numbers to 100 by using the symbols for “less than,” "equal to,” and “greater than” (<, =, >)
• Compares whole numbers using the symbols <, >, or = through the thousands & numeric and visual representation of equivalent fractions
• Compares and orders money in decimal form & decimals to the thousandths place (same number of digits after decimal)
• Orders whole numbers through 999 and through 9999 & fractions using visual representations
• Rounds 2- and 3- digit whole numbers to the nearest ten & 3-digit whole numbers to the nearest hundred
• Makes change to $1.00 by “counting on” or subtracting
• Finds equivalent combinations of coins with the same value & of dollars and cents with the same value
• Distinguishes between odd and even numbers
• Counts and converts to dozens with models & Converts to dozens without modelsVOCABULARY: • Billion, • Composite number, • Hundred million, • Prime number, • Proportion, • Quintillion, • Standard numeral, • Symbol, • Trillion
SIGNS AND SYMBOLS: • ( ) Order of operations, • > Greater than, • ≥ Greater than or equal to, • < Less than, • ≤ Less than or equal to
RIT 181-190:• Counts numbers 0-1000 & ordinal numbers (first to tenth) & objects that are grouped into tens and ones
• Counts and writes by 3's, by 4's, by 6's, 7's, 8's, or 9's
• Counts and converts to dozens with models & Converts to dozens without models
• Solves problems using ordinal numbers
• Identifies the numeral and written name for whole numbers from 0-1000 & the number that is “1 more than” and “1 less than” a given number
• Identifies the numeral and written name for whole numbers to the thousands place and to the ten thousands place
• Identifies the ordinal number that comes before, between, or after a given ordinal number & the number of fractional parts shaded in a region
• Identifies the place value and value of each digit in whole numbers through the tens place, the hundreds place, the thousands, & the hundred thousands
• Identifies equal parts by using models & one-half from a group or set, & fractional parts of a group or set & one-half of an object from a region
• Identifies fourths of a region & the value of a collection of coins and bills to $100.00 by "counting on"
• Identifies the value of a collection of coins to $1.00 (without picture of coins) & of coins and bills to $10.00 by "counting on" (with picture of money)
• Writes whole numbers using place value terms and vice versa to the hundreds place (e.g., 30 is 3 tens)
• Writes fractional parts of a group or set & a fraction from a visual representation
• Uses decomposing strategies to add and subtract numbers less than 100 & to compute with whole numbers
• Constructs equivalent forms of whole numbers (e.g., 12 = 4 x 3 = 2 x 6 = 2 x 2 x 3)
• Compares whole numbers through 999 and through 9999
• Orders sets of objects 0-20 & whole numbers 0-100 & whole numbers through 999 & fractions using visual representations
• Rounds 2- and 3- digit whole numbers to the nearest ten & 3-digit whole numbers to the nearest hundred
• Reads or writes the word names for fractions and mixed numbers• Applies base ten place value concepts to solve problems using decimals • Compares and orders decimals to the hundredths place (same number of digits after decimal) • Makes change to $1.00 by “counting on” or subtracting
• Finds equivalent combinations of coins with the same value• Combines a collection of coins and identifies the correct notation • Determines whether a set of objects has an odd or even number of elements
• Distinguishes between odd and even numbersVOCABULARY: • Closest, • Coins, • Digit, • Dozen, • Even number, • Factor, • Fourth, • Fourths, • Fraction, • Hundred thousand, • Hundreds,
• Million, • Nearest, • Nickel, • Numeric form, • Odd number, • One, • Round, • Set, • Smallest, • Ten, • Ten thousand, • Third, • Thirds,
• Thousandth, • Value
SIGNS AND SYMBOLS: • { } Set notation, • = Is equal to, • × Multiplication, • − Subtraction
RIT 171-180:• Counts numbers 0-100 and 0-1000 & Counts by 2's to 100 & Counts and writes by 5's & Counts backwards or counts on from a given number
• Counts ordinal numbers (first to tenth) & Counts objects that are grouped into tens and ones
• Identifies missing numbers in a series through 100 & the whole number that comes between 2 given numbers
• Identifies the numeral and written name for whole numbers from 0-20, from 0-100, and from 0-1000 & for ordinal numbers 0-20th
• Identifies the ordinal number that comes before, between, or after a given ordinal number & one-half from a group or set
• Identifies the place value and value of each digit in whole numbers through the tens place
• Identifies the value of a collection of coins to $1.00 (with pictures of coins) & of coins and bills to $10.00 by "counting on" (with picture of money)
• Constructs equivalent forms of whole numbers (e.g., 15 + 5 = 10 + 10)
• Compares whole numbers through 999 & equivalent fractions using visual representations
• Orders sets of objects 0-10 & sets of objects 0-20
• Uses decomposing strategies to add and subtract numbers less than 100 & pictures to compare whole numbers
• Uses cent sign and dollar sign when appropriate• Connects money with place value
VOCABULARY: • Before, • Between, • Compare, • Count, • Dime, • Dollar sign, • Eighth, • Eleventh, • Fifth, • First, • Greater, • Greater than,
• Hundred, • Largest, • Less than, • Ninth, • Ones, • Penny, • Seventh, • Tens, • Tenth, • Thousand
SIGNS AND SYMBOLS: • ¢ Cent sign, • $ Dollar sign
RIT 161-170:• Counts numbers 0-20 & numbers 0-100 & ordinal numbers (1st to 10th)
• Writes whole numbers in standard and expanded form through the tens
• Uses pictures to identify whole numbers & objects or pictures to decompose whole numbers to 10• Identifies missing numbers in a series through 100
• Orders whole numbers 0-10
VOCABULARY: • Counting order, • Numeral
SIGNS AND SYMBOLS: • + Addition, • Variable
RIT Below 161:• Counts numbers 0-20• Uses objects or pictures to decompose whole numbers to 10
RIT Above 271:• Identifies the least common multiple of numbers in their prime factored state
RIT 261-270:• Defines "irrational numbers"
VOCABULARY: • Non-repeating decimal, • Rational number, • Repeating, • Repeating decimal
SIGNS AND SYMBOLS: • Square root symbol
RIT 251-260:• Expresses a percent over 100 or under 1 as a fraction in lowest terms and vice versa
• Writes a rational number in scientific notation
• Uses fractional and negative exponents as optional ways of representing problem situations (e.g., 27^2/3 = (27^1/3)^2 = 9)
• Uses factor and multiple concepts to solve difficult problems & prime and relatively prime concepts to solve problems
• Solves problems using multiple number theory concepts (e.g., prime, GCF and LCM, multiples, factors)
SIGNS AND SYMBOLS: • ( ) Parenthesis around an integer
RIT 241-250:• Expresses the equivalent form of a fraction, decimal, and/or percent (complex fraction)
• Recognizes and writes ratios
• Writes a number expressed in scientific notation in standard form & a whole number in scientific notation & a decimal in scientific notation
• Determines the prime factorization of a number using powers
• Identifies the least common multiple of whole numbers & the greatest common factor and least common multiple of multiple whole numbers
• Uses factor and multiple concepts to solve difficult problems
VOCABULARY: • Least Common Multiple
SIGNS AND SYMBOLS: • LCM Lowest Common Multiple
RIT 231-240:• Writes whole numbers in standard and exponential form & a fraction as a decimal and vice versa and as a mixed decimal and vice versa
• Writes a ratio as a decimal and vice versa and as a percent and vice versa & a number expressed in scientific notation in standard form
• Writes a whole number in scientific notation & a decimal in scientific notation
• Expresses a decimal as a whole number (e.g., 1.3 thousand = ?) & a percent as a fraction and vice versa
• Compares and orders decimal and fractional coordinates on a number line & difficult fractions (e.g., comparing numerators and denominators)
• Compares and orders rational numbers, percent , and fractions, decimals, and percents
• Compares numbers written exponentially
• Estimates relative magnitude of fractions, decimals, and percents & percent using 2-D regions
• Rounds decimals to the nearest hundredth, nearest thousandth, and nearest ten-thousandth
• Orders fractions, decimals, and integers on a number line
• Represents problems using concepts of absolute value
• Recognizes and writes ratios
• Uses powers of 10 to represent numbers (e.g., 8 x 10^3 = 8000) & correct terminology for powers
• Applies rules for multiplying and dividing powers & rules of divisibility by 3's and rules of divisibility
• Determines the prime factorization of a number
VOCABULARY: • Cubed, • Miles per second, • Prime factor, • Prime factorization, • Scientific notation, • Square region, • Tenth power
SIGNS AND SYMBOLS: • || Absolute value, • ft Feet, • : Ratio
RIT 221-230:• Writes whole numbers in standard and exponential form & a decimal for a shaded region (to the hundredths place)• Writes a simple mixed fraction as a decimal and vice versa & a fraction or mixed number as a decimal when the denominator is a multiple of 10
• Writes a ratio as a decimal and vice versa and as a percent and vice versa &
• Writes the missing number in a proportion with numbers other than basic facts (e.g., 5/13=?/117)
• Writes a power as a product of multiplied numbers and vice versa (e.g., 2^4 = 2 x 2 x 2 x 2)
• Decomposes equivalent forms of whole numbers using place value over the hundreds
• Orders whole numbers through the billions using symbols & fractions on a number line & a set of integers
• Rounds whole numbers to the nearest million and nearest billion & decimals to the nearest hundredth
• Determines the relative magnitude of whole numbers & simple equivalent fractions using multiples & equivalent fractions using multiples
• Determines factors of whole numbers & common denominators of fractions
• Uses alternative algorithms to explain the meaning of "fraction" & concrete and pictorial models to represent ratios
• Uses powers to represent 10, 100, 1000, 10,000, and 100,000 & powers of 10 to represent numbers (e.g., 8 x 10^3 = 8000)
• Uses factor and multiple concepts to solve simple problems & divisibility concepts to solve problems
• Uses multiple number theory concepts to solve problems (e.g., factors, digits, odd/even, divisibility)
• Identifies the place value and value of each digit to the hundredths and thousandths & in numbers through the ten thousandths and beyond
• Identifies the numeral and written name for decimals to the thousandths place and the hundred thousandths place
• Identifies the percent represented in a given model & common factors of two or more numbers & the greatest common factor of whole numbers
• Expresses a percent as a fraction and vice versa & the equivalent form of a fraction, decimal, and/or percent (simple fraction)
• Reduces equivalent fractions using visual representations
• Compares and orders difficult fractions (e.g., comparing numerators and denominators) and fractions and decimals to the hundred thousandths
• Compares and orders decimals to the hundredths place and thousandths place (not same number of digits after decimal)
• Compares and orders decimals past the thousandths place & rational numbers
• Compares two integers & numbers written exponentially
• Locates rational numbers on a number line
• Defines "absolute value"
• Recognizes characteristics of odd and even numbers
• Completes a factor tree for a number (prime factorization)
VOCABULARY: • Absolute value, • Common denominator, • Expanded notation, • Exponent, • Least common denominator,
• Lowest common denominator, • Real number, • Ten million, • Ten thousandth, • Thousandths
SIGNS AND SYMBOLS: • lb Pound, • • Multiplication symbol, • # Number, • ° ºC, • ° ºF
RIT 211-220:• Identifies the numeral and written name for whole numbers through the hundred thousands and for decimals to the hundredths place
• Identifies the place value and value of each digit to the tenths & the percent represented in a 2-D region
• Identifies numbers as prime & common factors of two or more numbers & the greatest common factor of whole numbers
• Writes whole numbers in standard and expanded form through the hundred thousands & a fraction from a non-traditional model
• Writes improper fractions and mixed numbers from a visual representation & a decimal for a shaded region (to the tenths place)
• Writes a basic percent as a decimal and vice versa & as a fraction and vice versa (e.g., 10%, 25%, 50%, 100%)
• Writes a simple mixed fraction as a decimal and vice versa & a fraction or mixed number as a decimal when the denominator is a multiple of 10
• Writes mixed numbers as improper fractions and improper fractions as mixed numbers
• Writes a power as a product of multiplied numbers and vice versa (e.g., 2^4 = 2 x 2 x 2 x 2)
• Uses 2- and 3-D models to identify whole numbers less than 1000 and over 999
• Uses simple concepts of negative numbers (e.g., on a number line, in counting, in temperature) & powers to represent 10, 100, 1000, 10,000, and 100,000
• Uses correct terminology for integers & concrete and pictorial models to represent proportions
• Expresses "1" in many different ways (e.g., 3/3, 4/4) & improper fractions as whole numbers (e.g., 4/2=2) & a simple fraction as a decimal• Expresses a percent as a fraction with 100 as the denominator and vice versa & a percent as a decimal and vice versa
• Rounds 4-, 5-, and 6-digit whole numbers to the nearest ten thousand, the nearest thousand, and the nearest hundred
• Rounds decimals to the nearest whole number and to the nearest tenth
• Explains different interpretations of fractions (e.g., parts of a whole, parts of a set, and division of whole numbers by whole numbers)
• Applies base ten place value concepts to solve problems using decimals (analysis) & rules of divisibility by 5's
• Determines simple equivalent fractions using multiples & factors of whole numbers & multiples of a whole number & common multiples of whole numbers
• Converts fractions to lowest terms
• Compares fractions greater than or less than a given fraction using visual representations & fractions on a number line & two integers
• Compares and orders fractions and mixed numbers & fractions and mixed numbers using symbols
• Reduces equivalent fractions using visual representations• Orders decimals on a number line and integers on a number line
• Recognizes and writes proportions• Recognizes characteristics of odd and even numbers
• Completes a factor tree for a number (prime factorization)
VOCABULARY: • Common factor, • Decimal, • Decimal form, • Decimal point, • Expression, • Factor tree, • Greatest common factor,
• Lowest terms, • Negative, • Positive, • Region, • Standard form
SIGNS AND SYMBOLS: • –, • ÷ Division, • ≠ Not equal to, • % Percent, • + Positive number
RIT 201-210:• Solves problems using ordinal numbers
• Identifies the numeral and written name for whole numbers with a zero between digits to the ten thousands place
• Identifies the numeral and written name for whole numbers through the hundred thousands and through the billions
• Identifies the whole number that comes before and after any given number through 999 and whole numbers over 999 using base-10 blocks
• Identifies the place value and value of each digit in whole numbers through the billions
• Identifies halves of a region using nonadjacent parts & the place value and value of each digit to the tenths
• Writes whole numbers using place value terms and vice versa & whole numbers in standard and expanded form through the hundred thousands
• Writes a terminating decimal as a fraction or mixed number & mixed numbers as improper fractions and improper fractions as mixed numbers
• Writes the missing number in a proportion using basic facts
• Applies base ten place value concepts with whole numbers to solve problems & rules of divisibility by 5's and by 2’s
• Constructs equivalent forms of whole numbers using place value (e.g., 54 = 4 tens and 14 ones)
• Compares whole numbers through 999,999 & whole numbers using the symbols <, >, or = through the billions
• Compares and orders simple fractions (e.g., common denominator, 1 in the numerator) & decimals integers and on a number line
• Orders whole numbers through 9999 and through the billions
• Rounds 4-, 5-, and 6-digit whole numbers to the nearest thousand and to the nearest hundred and to the nearest ten
• Rounds whole numbers to the nearest hundred thousand & decimals to the nearest whole number
• Explains the rules for rounding
• Converts a basic fractional numeral to lowest terms (e.g., halves, thirds, quarters)
• Orders integers on a number line
• Finds equivalent combinations of dollars and cents with the same value
• Models square numbers
• Determines multiples of a whole number & common multiples of whole numbers
VOCABULARY: • Biggest, • Common multiple, • Divisible, • Expanded numeral, • Hundred thousands, • Hundredth, • Integer, • Larger,
• Mixed number, • Mixed numeral, • Multiple, • Place value, • Ten thousands, • Twice
SIGNS AND SYMBOLS: • - Negative number
RIT 191-200:• Solves problems using ordinal numbers
• Identifies the numeral and written name for ordinal numbers 0-100th & for whole numbers w/ a zero between digits to the ten thousands place
• Identifies the numeral and written name for whole numbers through the hundred thousands and through the billions
• Identifies the place value and value of each digit in whole numbers through the thousands and through the hundred thousands
• Identifies whole numbers 0-999 using base-10 blocks and over 999 using base-10 blocks
• Identifies fractional parts of a group or set & fourths of a region & thirds of a region
• Identifies tenths and eighths from a visual representation & a decimal on a number line & numbers as composite
• Identifies the value of a collection of coins to $1.00 (without picture of coins) & of coins and bills to $10.00 by "counting on" (without picture of money)
• Identifies the value of a collection of coins and bills to $100.00 by "counting on"
• Writes whole numbers using place value terms and vice versa to the hundreds place (e.g., 30 is 3 tens) & a fraction from a visual representation
• Writes whole numbers in standard and expanded form through the hundreds and through the thousands
• Writes the missing number in a proportion using basic facts
• Uses decomposing strategies to compute with whole numbers & a number line to identify a fractional point• Constructs equivalent forms of whole numbers (e.g., 12 = 4 x 3 = 2 x 6 = 2 x 2 x 3)
• Compares sets of objects and identifies which is equal to, more than, or less than the other & whole numbers through 999,999
• Compares whole numbers to 100 by using the symbols for “less than,” "equal to,” and “greater than” (<, =, >)
• Compares whole numbers using the symbols <, >, or = through the thousands & numeric and visual representation of equivalent fractions
• Compares and orders money in decimal form & decimals to the thousandths place (same number of digits after decimal)
• Orders whole numbers through 999 and through 9999 & fractions using visual representations
• Rounds 2- and 3- digit whole numbers to the nearest ten & 3-digit whole numbers to the nearest hundred
• Makes change to $1.00 by “counting on” or subtracting
• Finds equivalent combinations of coins with the same value & of dollars and cents with the same value
• Distinguishes between odd and even numbers
• Counts and converts to dozens with models & Converts to dozens without modelsVOCABULARY: • Billion, • Composite number, • Hundred million, • Prime number, • Proportion, • Quintillion, • Standard numeral, • Symbol, • Trillion
SIGNS AND SYMBOLS: • ( ) Order of operations, • > Greater than, • ≥ Greater than or equal to, • < Less than, • ≤ Less than or equal to
RIT 181-190:• Counts numbers 0-1000 & ordinal numbers (first to tenth) & objects that are grouped into tens and ones
• Counts and writes by 3's, by 4's, by 6's, 7's, 8's, or 9's
• Counts and converts to dozens with models & Converts to dozens without models
• Solves problems using ordinal numbers
• Identifies the numeral and written name for whole numbers from 0-1000 & the number that is “1 more than” and “1 less than” a given number
• Identifies the numeral and written name for whole numbers to the thousands place and to the ten thousands place
• Identifies the ordinal number that comes before, between, or after a given ordinal number & the number of fractional parts shaded in a region
• Identifies the place value and value of each digit in whole numbers through the tens place, the hundreds place, the thousands, & the hundred thousands
• Identifies equal parts by using models & one-half from a group or set, & fractional parts of a group or set & one-half of an object from a region
• Identifies fourths of a region & the value of a collection of coins and bills to $100.00 by "counting on"
• Identifies the value of a collection of coins to $1.00 (without picture of coins) & of coins and bills to $10.00 by "counting on" (with picture of money)
• Writes whole numbers using place value terms and vice versa to the hundreds place (e.g., 30 is 3 tens)
• Writes fractional parts of a group or set & a fraction from a visual representation
• Uses decomposing strategies to add and subtract numbers less than 100 & to compute with whole numbers
• Constructs equivalent forms of whole numbers (e.g., 12 = 4 x 3 = 2 x 6 = 2 x 2 x 3)
• Compares whole numbers through 999 and through 9999
• Orders sets of objects 0-20 & whole numbers 0-100 & whole numbers through 999 & fractions using visual representations
• Rounds 2- and 3- digit whole numbers to the nearest ten & 3-digit whole numbers to the nearest hundred
• Reads or writes the word names for fractions and mixed numbers• Applies base ten place value concepts to solve problems using decimals
• Compares and orders decimals to the hundredths place (same number of digits after decimal)
• Makes change to $1.00 by “counting on” or subtracting
• Finds equivalent combinations of coins with the same value• Combines a collection of coins and identifies the correct notation
• Determines whether a set of objects has an odd or even number of elements
• Distinguishes between odd and even numbersVOCABULARY: • Closest, • Coins, • Digit, • Dozen, • Even number, • Factor, • Fourth, • Fourths, • Fraction, • Hundred thousand, • Hundreds,
• Million, • Nearest, • Nickel, • Numeric form, • Odd number, • One, • Round, • Set, • Smallest, • Ten, • Ten thousand, • Third, • Thirds,
• Thousandth, • Value
SIGNS AND SYMBOLS: • { } Set notation, • = Is equal to, • × Multiplication, • − Subtraction
RIT 171-180:• Counts numbers 0-100 and 0-1000 & Counts by 2's to 100 & Counts and writes by 5's & Counts backwards or counts on from a given number
• Counts ordinal numbers (first to tenth) & Counts objects that are grouped into tens and ones
• Identifies missing numbers in a series through 100 & the whole number that comes between 2 given numbers
• Identifies the numeral and written name for whole numbers from 0-20, from 0-100, and from 0-1000 & for ordinal numbers 0-20th
• Identifies the ordinal number that comes before, between, or after a given ordinal number & one-half from a group or set
• Identifies the place value and value of each digit in whole numbers through the tens place
• Identifies the value of a collection of coins to $1.00 (with pictures of coins) & of coins and bills to $10.00 by "counting on" (with picture of money)
• Constructs equivalent forms of whole numbers (e.g., 15 + 5 = 10 + 10)
• Compares whole numbers through 999 & equivalent fractions using visual representations
• Orders sets of objects 0-10 & sets of objects 0-20
• Uses decomposing strategies to add and subtract numbers less than 100 & pictures to compare whole numbers
• Uses cent sign and dollar sign when appropriate• Connects money with place value
VOCABULARY: • Before, • Between, • Compare, • Count, • Dime, • Dollar sign, • Eighth, • Eleventh, • Fifth, • First, • Greater, • Greater than,
• Hundred, • Largest, • Less than, • Ninth, • Ones, • Penny, • Seventh, • Tens, • Tenth, • Thousand
SIGNS AND SYMBOLS: • ¢ Cent sign, • $ Dollar sign
RIT 161-170:• Counts numbers 0-20 & numbers 0-100 & ordinal numbers (1st to 10th)
• Writes whole numbers in standard and expanded form through the tens
• Uses pictures to identify whole numbers & objects or pictures to decompose whole numbers to 10• Identifies missing numbers in a series through 100
• Orders whole numbers 0-10
VOCABULARY: • Counting order, • Numeral
SIGNS AND SYMBOLS: • + Addition, • Variable
RIT Below 161:• Counts numbers 0-20• Uses objects or pictures to decompose whole numbers to 10