Back to RIT RIT Above 271: • Solves problems involving successive discounts
RIT 261-270:• Uses the compound interest equation to solve problems
VOCABULARY: • Compound interest, • Semi-annual
SIGNS AND SYMBOLS: • P Principal, • r Rate, • t Time
RIT 251-260:• Solves problems with scientific notation & problems involving complex percent discounts (e.g., finding percent discount, regular price)
• Simplifies rational expressions with exponents
• Uses the additive inverse property with rational numbers• Identifies the commutative property of multiplication
• Performs basic operations on matrices
VOCABULARY: • Pair
RIT 241-250:• Subtracts integers
• Solves real-world problems involving addition, subtraction multiplication, and division of integers (analysis)
• Solves problems with scientific notation & multiple-step problems involving proportions & problems involving a fractional increase
• Solves problems involving percents (analysis) & involving simple percent discounts (e.g., finding sale price)
• Solves problems involving complex percent discounts (e.g., finding percent discount, regular price) & involving simple interest rates without the formula
• Calculates a percent of a rational number (e.g., 6% of 0.78) & the percent one number is of another (e.g., 20 is what % of 90)
• Calculates commission/deductions and total pay
• Estimates the square roots of numbers • Simplifies rational expressions with scientific notation & with exponents• Evaluates numerical expressions using the order of operations (using integers)
• Evaluates expressions using the order of operations, including exponents (whole numbers only) (using integers)
• Identifies the associative property of addition
• Performs basic operations on matrices
• Uses the multiplicative inverse property with rational numbers & estimation to solve problems involving decimals
RIT 231-240:
• Adds fractions with unlike denominators, with reducing or converting to a mixed fraction & whole numbers, fractions, and mixed fractions, without reducing
• Adds mixed fractions where converting from improper fractions is necessary & integers with unlike signs & several positive and negative integers
• Subtracts whole numbers, fractions, and mixed fractions, with regrouping & a decimal from a whole number, horizontally & integers & rational expressions
• Multiplies mixed fractions & a decimal by 10, 100, 1000 & integers with like signs & rational expressions
• Divides multiple-digit numbers & a fraction by a fraction & a fraction by a whole number & a whole number by a fraction & rational expressions
• Divides a mixed fraction by a whole number & a whole number by a mixed fraction & a mixed fraction by a fraction & a fraction by a mixed fraction
• Divides a mixed fraction by a mixed fraction & a whole number by a decimal & a decimal by 10, 100, 1000 & a decimal by a decimal
• Divides integers with like signs
• Describes the effects of multiplying a number by a number between 0 and 1
• Simplifies rational expressions with absolute value
• Predicts the relative size of the answer when dividing a smaller whole number by a larger whole number
• Models algorithms using place value concepts (addition and subtraction with whole numbers) (multiplication and division with whole numbers)
• Solves real-world problems involving addition and subtraction of fractions, where converting both denominators is necessary
• Solves 2- or more step real-world problems involving fractions with multiplication and division & multiple-step problems involving proportions
• Solves problems involving fractions (e.g., multiple operations, conversions) & real-world problems involving rate of pay with time and a half
• Solves difficult real-world problems involving decimals (e.g., multiple multiplications, conversions) & real-world problems involving rate of pay
• Solves problems involving decimals (e.g., conversions) & real-world problems involving addition and subtraction of integers (analysis)
• Solves real-world problems involving multiplication and division of integers (analysis) & problems involving simple percent discounts (e.g., finding sale price)
• Solves problems with scientific notation & problems involving equivalent fractions (analysis) & problems involving ratios
• Solves problems involving percents & involving percents (analysis) & involving percent increase and decrease & involving tax and tips
• Calculates a percent of a number (e.g. 6% of 30) & the percent one number is of another (e.g., 20 is what % of 90)
• Calculates commission/deductions and total pay & the power of a number (e.g., 8 = 2^3)
• Calculates the positive square root of a perfect square & with exponents and roots (e.g., 3^2 x 2^3)
• Evaluates numerical expressions using the order of operations (whole numbers only) (using integers)
• Evaluates expressions using the order of operations, including exponents (whole numbers only)
• Identifies the distributive property
• Performs basic operations on matrices
• Uses appropriate algorithms to represent multiplication or division with whole numbers & the distributive property
• Uses estimation to solve problems involving decimals & involving proportional reasoning (decimals only)
• Determines the most accurate answer (fractions only)
VOCABULARY: • Commission, • Discount, • Equality, • Identity element, • Matrix, • Representative sample, • Scientific notation
SIGNS AND SYMBOLS: • [ ] Square brackets, • || Absolute value, • BC, • km Kilometer/kilometer, • • Multiplication symbol, • Square root symbol
RIT 221-230:• Adds fractions with like denominators, with reducing or converting to a mixed fraction & fractions with unlike denominators, without reducing
• Adds fractions with unlike denominators, with reducing or converting to a mixed fraction & whole numbers, fractions, and mixed fractions, without reducing
• Adds mixed fractions where converting from improper fractions is necessary & decimals through the hundred-thousandths place
• Adds decimals to the hundredths place in horizontal format (not same number of digits) & integers with unlike signs
• Adds several positive and negative integers & rational expressions
• Adds and subtracts percent
• Subtracts decimals to the hundredths place (not same number of digits) & decimals to the thousandths place, horizontally, with and without regrouping
• Subtracts decimals through the hundred-thousandths place, horizontally & a decimal from a whole number, horizontally• Subtracts fractions with like denominators, with reducing & fractions with unlike denominators, without reducing
• Subtracts fractions with unlike denominators, with reducing & mixed fractions with unlike denominators, with no regrouping
• Subtracts whole numbers, fractions, and mixed fractions, with regrouping
• Multiplies multiple-digit numbers & a fraction by a fraction, without reducing to simplest form (complex problem) • Multiplies a fraction by a fraction, where reducing to simplest form is necessary & a fraction by a whole number & mixed fractions
• Multiplies a decimal by a decimal, vertical form (factors to tenths or hundredths) & a decimal by a decimal (factors to hundredths)
• Multiplies a decimal by 10, 100, 1000 & a decimal by a decimal (factors to thousandths) & integers with unlike signs
• Divides a 4-digit number by a 2-digit number & multiple-digit numbers & numbers by powers of 10 & a fraction by a fraction
• Divides a mixed fraction by a fraction & a decimal by 10, 100, 1000 & a decimal by a decimal & integers with unlike signs • Predicts the relative size of the answer when adding and subtracting whole numbers & the relative size of the answer when dividing whole numbers
• Models algorithms using place value concepts (addition and subtraction with whole numbers) (multiplication and division with whole numbers)
• Computes the value of multiple bills and coins (multiplication/division) & with dollars and cents over $5.00 and converts to decimals (multiplication/division)
• Calculates basic percents of a number (e.g., 10%, 20%, 25%, 50%, 100%) & a percent of a number (e.g. 6% of 30)
• Calculates a number from a percent (e.g., 4 is 9% of what)
• Solves complex word problems involving whole number division with remainder (e.g., 2-step, 2-digit divisor) & problems involving ratios
• Solves real-world multiple-step problems involving whole numbers & 1-step real-world problems involving fractions with multiplication and division
• Solves real-world problems involving addition and subtraction of fractions, where converting one denominator is necessary
• Solves 2- or more step real-world problems involving fractions with multiplication and division & real-world problems involving rate of pay
• Solves problems involving fractions (e.g., multiple operations, conversions)* & problems involving addition and subtraction of integers
• Solves difficult real-world problems involving decimals (e.g., multiple multiplications, conversions) & problems involving percents
• Solves real-world problems involving addition, subtraction, multiplication, and division of integers & 1-step problems involving proportions
• Solves problems involving tax and tips & involving simple interest rates with the formula & comparing percents, fractions, and decimals
• Solves problems involving ratios & 1-step problems involving proportions & problems involving percents & problems involving tax and tips
• Solves problems involving simple interest rates with the formula & problems comparing percents, fractions, and decimals
• Demonstrates an understanding of the commutative property of multiplication with complex problems (e.g., parenthesis, 3 factors)
• Demonstrates an understanding of multiple properties• Uses division for multiple-step problems & number sense strategies to judge the reasonableness of given answers (multiplication/division only)
• Uses multiplication strategies to develop computational fluency (e.g., doubles, 9-patterns, decomposing, partial products)
• Uses the distributive property & estimation to solve problems involving fractions and mixed numbers • Uses rounding to estimate answers to real-world problems involving multiplication and division of numbers less than 100 (whole numbers only)
• Uses rounding to estimate answers to real-world problems involving numbers less than 1000 with multiplication and division
• Uses rounding to estimate answers to real-world problems involving numbers 1000 or greater using multiplication and division (whole numbers only)• Uses rounding to estimate answers to real-world problems involving fractions and mixed numbers
VOCABULARY: • Borrow, • Cents per mile, • Compute, • Cord, • Half hour, • Net, • Partial product, • Range, • Short, • Tax, • Tenths, • Whole
SIGNS AND SYMBOLS: • gal Gallon, • I Interest, • M Meter/metre, • : Ratio, • : Used with time
RIT 211-220:• Adds integers with like signs & fractions with like denominators, without reducing & mixed fractions with like denominators
• Adds fractions with like denominators, with reducing or converting to a mixed fraction & fractions with unlike denominators, without reducing
• Adds simple mixed fractions with unlike denominators (e.g., halves, thirds, fourths, eighths)
• Adds decimals to the hundredths place in horizontal format (not same number of digits)
• Adds decimals to the thousandths place horizontally, with and without regrouping & decimals through the hundred-thousandths place • Subtracts numbers with 5-digits or more, with regrouping & fractions with unlike denominators, without reducing
• Subtracts simple fractions with unlike denominators, without reducing (e.g., halves, quarters, thirds, eighths)
• Subtracts mixed fractions with like and unlike denominators, with no regrouping
• Subtracts decimals to the thousandths place, vertically, with the zero missing in the ones place
• Subtracts decimals to the thousandths place, horizontally, with and without regrouping
• Multiplies a 2-digit number by a 2-digit number with regrouping & a 3-digit number by a 2-digit number with regrouping & multiple-digit numbers
• Multiplies a 3-digit number by a 3-digit number & a 4- or more digit number by multiples of 100 or 1000 & integers with unlike signs
• Multiplies a fraction by a fraction, where reducing to simplest form is necessary & a fraction by a whole number
• Multiplies a decimal by a decimal, vertical form (factors to tenths or hundredths) & a decimal by a decimal (factors to hundredths)
• Divides a 2-digit number or a 3-digit number by a 1- digit number, with a remainder & a 3-digit number by a 2-digit number
• Divides a 4-digit number by a 1-digit number, with no remainder and with a remainder & a 4-digit number by a 2-digit number
• Divides a whole number by a whole number and expresses the remainder as a decimal & multiple-digit numbers
• Divides integers with unlike signs & a decimal by a whole number
• Evaluates a numerical equation involving more than one operation & number sense strategies used to solve problems
• Performs mental computation with multiplication and division
• Predicts the relative size of the answer when adding and subtracting whole numbers & when computing with 10's, 100's, 1000's
• Predicts the relative size of the answer when multiplying whole numbers• Instantly recalls basic multiplication and division facts in a table • Analyzes and computes 1 operation on real-world problems involving money over $5.00 (addition/subtraction only) (multiplication/division)
• Computes the value of multiple bills and coins (addition/subtraction only) & addition and subtraction on multiple-step real-world problems involving money
• Computes addition, subtraction, multiplication, and division on multiple-step real-world problems involving money
• Computes with dollars and cents over $5.00 and converts to decimals (multiplication/division)• Solves problems using the inverse relationship between multiplication and division & whole number word problems with division over 10 x 10
• Solves complex word problems involving whole number division with remainder (e.g., 2-step, 2-digit divisor)
• Solves real-world problems involving 2-step multiple operations, whole numbers only & real-world multiple-step problems involving whole numbers • Solves real-world problems involving addition and subtraction of fractions, where converting one denominator is necessary
• Solves 1-step real-world problems involving fractions with multiplication and division & real-world problems involving addition and subtraction of integers
• Solves real-world problems involving decimals (not money) using multiplication & problems involving equivalent fractions
• Solves real-world problems involving multiplication and division of integers & 1-step problems involving proportions
• Calculates basic percents of a number (e.g., 10%, 20%, 25%, 50%, 100%) & the value of a power (e.g., 2^3 = 8)
• Recognizes multiplication and division fact families
• Demonstrates an understanding of the inverse relationship between addition and subtraction & an understanding that division by 0 is undefined
• Demonstrates an understanding of the associative property of multiplication
• Demonstrates an understanding of the commutative property of multiplication with simple problems
• Demonstrates an understanding of the distributive property of multiplication by decomposing a term• Uses strategies to determine 2 or more missing digits (addition/subtraction only) (multiplication/division only)
• Uses reasoning strategies to solve magic squares and related puzzles (addition/subtraction only)
• Uses number sense strategies to solve problems (multiplication/division) & the commutative property of addition with rational numbers • Uses referent numbers to estimate answers when adding and subtracting fractions and mixed numbers
• Uses rounding to estimate answers to difficult multiplication and division problems (whole numbers only)
• Uses rounding to estimate answers to 1-step problems involving answers $20 or greater (using decimals)
• Uses rounding to estimate answers to 2-step problems involving money (using decimals)
• Uses rounding to estimate answers to real-world problems involving multiplication and division of numbers less than 100 (whole numbers only)
• Uses rounding to estimate answers to real-world problems involving numbers less than 1000 with multiplication and division
• Uses rounding to estimate answers to real-world problems involving numbers 1000 or greater using multiplication and division (whole numbers only)
VOCABULARY: • Interest, • Lowest terms, • Proof, • Reduce, • Smaller, • Triple
SIGNS AND SYMBOLS: • > Greater than, • in. Inch, • kg Kilogram, • < Less than, • Mph Miles per hour, • + Positive number
RIT 201-210:• Adds multiple-digit numbers, with sums under 1000 & multiple-digit numbers, with regrouping, with sums over 1000
• Adds and subtracts whole numbers using place value & fractions with like denominators, without reducing
• Adds simple mixed fractions with unlike denominators (e.g., halves, thirds, fourths, eighths) & whole numbers and fractions
• Adds decimals to the hundredths place in vertical format (not same number of digits)
• Adds decimals to the thousandths place horizontally, with and without regrouping
• Subtracts 3- or 4-digit numbers, with regrouping & 5-digits or more, with regrouping & fractions with like denominators, without reducing
• Subtracts mixed fractions with like denominators, with no regrouping & whole numbers, fractions, and mixed fractions
• Subtracts decimals to the hundredths place (same number of digits) with regrouping
• Subtracts decimals to the thousandths place, vertically, with and without regrouping
• Subtracts decimals through the hundred-thousandths place, vertically
• Multiplies a 2-digit number by a 1-digit number with regrouping & a 3- or 4-digit number by a 1-digit number & multiple 1-digit numbers
• Multiplies a 2-digit number by a 2-digit number with no regrouping and with regrouping & a 3-digit number by a 2-digit number with regrouping
• Multiplies a 3-digit number by a 3-digit number & a 2- or 3-digit number by multiples of 10 or100 & a decimal by whole number
• Multiplies a fraction by a fraction, without reducing to simplest form (simple problem)
• Divides a 1-digit number by a 1-digit number, with a remainder & a 2-digit number by a 1-digit number, with no remainder
• Divides a 2-digit number or a 3-digit number by a 1-digit number, with a remainder & a 3-digit number by a 1-digit number, with no remainder
• Divides a 4-digit number by a 1-digit number, with no remainder & a 4-digit number by a 1-digit number, with a remainder
• Divides a 2-digit number by a 2-digit number, with a remainder & a 3-digit number by a multiple of 10
• Divides a 4-digit number by a 2-digit number & a decimal by a whole number
• Instantly recalls basic addition facts with sums to 18 in a table & basic multiplication facts where one factor is 6-12 and the other factor is 0-12
• Instantly recalls basic multiplication and division facts in a table & division facts with dividend and divisors less than 13
• Evaluates a numerical equation involving more than one operation & numerical expressions using grouping symbols (whole numbers only)
• Performs mental computation with more than 4 addends & mental subtraction with numbers 1000 and over
• Performs mental computation with multiplication and with division
• Solves real-world whole number addition problems with sums to 100 (start unknown) & whole number subtraction word problems with numbers over 1000
• Solves real-world whole number problems involving subtraction with numbers 100 and under (analysis)
• Solves word problems involving whole number multiplication with numbers greater than 10 x 10
• Solves word problems with whole number division facts with dividend and divisors less than 11
• Solves whole number word problems with division over 10 x 10 & real-world problems involving addition and subtraction of integers
• Solves simple word problems involving whole number division with remainder (e.g., 1-step, 1-digit divisor)• Solves real-world problems involving 2-step multiple operations, whole numbers only • Solves real-world 1-step problems involving addition and subtraction of fractions with like denominators • Computes the value of multiple bills and coins (addition/subtraction only) & money problems with multiple operations (addition/subtraction only)
• Computes addition and subtraction on multiple-step real-world problems involving money
• Computes addition, subtraction, multiplication, and division on multiple-step real-world problems involving money• Computes with dollars and cents up to and including $5.00 and converts to decimals (multiplication/division) • Demonstrates an understanding of the associative and commutative property of addition & of the zero property of addition (identity)
• Demonstrates an understanding of symmetric property applied to basic addition and subtraction facts (e.g., 10 = 2 + 8 is the same as 2 + 8 = 10 or 7 = 10 - 3 is the same as 10 - 3 = 7)*
• Demonstrates an understanding of the commutative property of multiplication with simple problems
• Demonstrates an understanding of symmetric property applied to multiplication (e.g., 8 x 4 = 32 is the same as 32 = 8 x 4)
• Recognizes multiplication and division fact families• Uses strategies to determine 2 or more missing digits (addition/subtraction only) & the commutative property of addition with rational numbers
• Uses number sense strategies to solve problems (addition/subtraction only) & front end estimation for multiplication and division (whole numbers only)
• Uses reasoning strategies to solve magic squares and related puzzles (addition/subtraction only) • Uses front end digits to estimate answers in addition and subtraction problems (whole numbers only)
• Uses rounding to estimate answers to addition and subtraction problems (whole numbers only)
• Uses rounding to estimate answers to simple multiplication and division problems (whole numbers only)
• Uses rounding to estimate answers to 1-step problems involving answers $20 or greater (using decimals)
• Uses rounding to estimate answers to 2-step problems involving money (using decimals)
• Uses rounding to estimate answers to 2-step problems involving money (whole numbers only)
• Uses rounding to estimate answers to real-world problems involving numbers 1000 or greater with addition and subtraction (whole numbers only)
VOCABULARY: • Above, • Annual, • Below, • Column, • Commutative, • Compatible numbers, • Inverse operation, • Kilowatt, • Magic square,
• Plus, • Property, • Remainder
SIGNS AND SYMBOLS: • ? A variable, • a.m., • ° Degrees, • - Negative number, • ° ºC, • p.m.
RIT 191-200:• Adds 2-digit to 3-digit number, with regrouping & multiple-digit numbers, with sums under 1000 & money with regrouping
• Adds two 3- and/or 4-digit numbers, with regrouping, with sums over 1000 & multiple-digit numbers, with regrouping, with sums over 1000
• Adds decimals to the hundredths place (same number of digits) & decimals to the hundredths place in vertical format (not same number of digits)
• Adds decimals to the thousandths place vertically, with and without regrouping
• Adds and subtracts whole numbers using place value
• Subtracts 1-digit number from a 2-digit number, with regrouping & a 2-digit number from a 2-digit number, with regrouping
• Subtracts a 2-digit number from a 3-digit number with a single regrouping & multiple-digit numbers, with no regrouping
• Subtracts 3- or 4-digit numbers, with regrouping & decimals to the thousandths place, vertically, with and without regrouping
• Subtracts decimals to the hundredths place (same number of digits) with and without regrouping
• Subtracts fractions with like denominators, without reducing
• Multiplies a 2- or 3-digit number by a 1-digit number with no regrouping & a 2-digit number by a 1-digit number with regrouping
• Multiplies a 3- or 4-digit number by a 1-digit number & a 2-digit number by a 2-digit number with no regrouping
• Multiplies a 3-digit number by a 2-digit number with no regrouping & a decimal by whole number
• Divides a 2-digit number by a 1-digit number, with no remainder
• Performs mental subtraction with numbers under 1000 & with numbers 1000 and over
• Instantly recalls basic multiplication facts where one factor is 6-12 and the other factor is 0-12
• Instantly recalls division facts with dividend and divisors less than 10 & with dividend and divisors less than 13
• Performs mental computation with multiplication
• Solves problems using the inverse relationship between addition and subtraction & problems involving basic percent concepts (e.g., 10%, 50%, 100%)
• Solves word problems involving basic whole number multiplication facts to 10 x 10 & with numbers greater than 10 x 10
• Solves word problems with whole number division facts with dividend and divisors less than 11 & simple word problems involving whole number
• Solves real-world 1-step problems involving addition and subtraction of fractions with like denominators• Solves real-world problems involving decimals (not money) using addition and subtraction • Solves real-world 1-step problems involving multiplication or division of a whole number by a fraction
• Solves real-world whole number addition problems with sums to 20 (result unknown) - analysis & with sums to 100 (start unknown)
• Solves real-world whole number problems involving subtraction with numbers 100 and under & with numbers under 1000
• Solves whole number addition word problems with sums over 1000 & whole number subtraction word problems with numbers over 1000
• Computes 1 operation on real-world problems involving money over $5.00 (multiplication/division) & half price (multiplication/division)
• Computes with dollars and cents up to and including $5.00 and converts to decimals (multiplication/division)• Computes 1 operation on real-world problems involving money over $5.00 (addition/subtraction only)
• Computes with dollars and cents up to and including $5.00 and converts to decimals (addition/subtraction only)
• Evaluates numerical expressions using grouping symbols (whole numbers only) • Demonstrates an understanding of the commutative property of multiplication with simple problems
• Demonstrates an understanding of the zero property of multiplication & of the multiplicative property of 1 (identity)• Uses strategies for sums and differences with 2-digit numbers (e.g., decomposing, compatible, compensation, partial sums, counting on)
• Uses number sense strategies to judge the reasonableness of given answers (addition/subtraction only) • Uses front end digits to estimate answers in addition and subtraction problems (whole numbers only)
• Uses rounding to estimate answers to addition and subtraction problems (whole numbers only)
• Uses rounding to estimate answers to 1-step problems involving answers less than $20 (decimals only, e.g., $1.20 + $2.75)
• Uses rounding to estimate answers to 1-step problems involving answers less than $1 (whole numbers only, e.g., 10 cents + 10 cents)
• Uses rounding to estimate answers to real-world problems involving numbers less than 1000 with addition and subtraction (whole numbers only)
• Uses strategies to determine 1 missing digit (multiplication/division only) & repeated subtraction for division
VOCABULARY: • Altitude, • Billion, • Capacity, • Deposit, • Hundredths, • Longer, • Percent, • Thousands, • Zero
SIGNS AND SYMBOLS: • ≈ Approximately equal to, • ft Feet, • ° ºF, • % Percent, • R Remainder
RIT 181-190:• Adds 1-digit to multiple-digit number, with regrouping & two or three 2-digit numbers, with regrouping & 2-digit to 3-digit number, with regrouping
• Adds 3-digit numbers, with regrouping, with sums under 1000 & two 3- and/or 4-digit numbers, with regrouping, with sums over 1000
• Adds multiple-digit numbers, with regrouping, with sums over 1000 & money with regrouping & decimals to the hundredths place (same number of digits)
• Subtracts 1-digit number from a 2-digit number, with regrouping & a 1-digit number from a multiple-digit number
• Subtracts 2- and/or 3-digit numbers with no regrouping & s 2-digit number from a 2-digit number, with regrouping
• Subtracts multiple-digit numbers, with no regrouping & 3- or 4-digit numbers, with regrouping
• Subtracts decimals to the hundredths place (same number of digits) without regrouping
• Performs mental computation with 2, 3, or 4 addends & mental subtraction with numbers under 1000
• Multiplies basic facts to 10 x 10 vertically & a 2-digit number by a 1-digit number with regrouping
• Instantly recalls basic subtraction facts with minuend less than 10 & division facts with dividend and divisors less than 10
• Solves real-world whole number addition problems with sums to 20 (result unknown) - analysis (start unknown)
• Solves real-world whole number addition problems with sums to 100 (result unknown) & with sums to 1000
• Solves real-world whole number problems involving subtraction with numbers under 20 & with numbers 100 and under
• Solves real-world whole number problems involving subtraction with numbers under 1000
• Solves real-world whole number problems involving addition and subtraction
• Solves word problems involving basic whole number multiplication facts to 10 x 10• Solves word problems with whole number division facts with dividend and divisors less that 11, involving money • Computes 1 operation on addition or subtraction real world problems involving money up to $5.00• Computes with dollars and cents up to and including $5.00 and converts to decimals (addition/subtraction only) • Recognizes fact families through 18
• Demonstrates an understanding of the zero property of multiplication & an understanding of the inverse relationship between multiplication and division• Uses strategies for sums and differences with 2-digit numbers (e.g., decomposing, compatible, compensation, partial sums, counting on) • Uses sharing for division • Uses rounding to estimate answers to real-world problems involving addition of numbers less than 100 (whole numbers only)
VOCABULARY: • Cost, • Equivalent, • Set, • Unifix cubes
SIGNS AND SYMBOLS: • ÷ Division, • Long division symbol
RIT 171-180:• Adds 1-digit numbers with sums to 18 (with parentheses) & 2-digit to 3-digit number, with no regrouping, with sums under 1000
• Adds 3-digit numbers, with no regrouping & two or three 2-digit numbers, with regrouping
• Adds 3-digit numbers, with regrouping, with sums under 1000 & 1-, 2-, and/or 3-digit numbers, with sums under 100
• Adds multiple-digit numbers, with no regrouping, with sums over 1000
• Subtracts two whole numbers, with the minuend between 9 and 19, horizontally & a 1-digit number from a multiple-digit number
• Subtracts a 1-digit number from a 2-digit number, with no regrouping, vertically
• Subtracts a 2-digit number from a 2-digit number, with no regrouping & 2- and/or 3-digit numbers with no regrouping
• Uses strategies for addition facts (e.g., compatible numbers, counting on, doubles, neighbors, making tens)
• Uses strategies for subtraction facts (e.g., counting back, one less, two less)
• Solves real-world whole number addition problems with sums to 20 (result unknown) (start unknown) (change unknown)
• Solves real-world whole number addition problems with sums to 100 (result unknown) & whole number addition problems with sums to 1000
• Solves real-world whole number problems involving subtraction with numbers under 20
• Instantly recalls basic multiplication facts where one factor is 0-5 and the other factor is 0-12
• Multiplies basic facts to 10 x 10 vertically
• Recognizes fact families through 18• Demonstrates an understanding that vertical and horizontal representations are equivalent
VOCABULARY: • Fact family, • Penny
SIGNS AND SYMBOLS: • ( ) Order of operations, • ¢ Cent sign, • lb Pound
RIT 161-170:• Adds two 1-digit numbers with sums to 10 and between 10 and 19 in horizontal format and in vertical format
• Adds multiple 1-digit numbers & 1-digit to multiple-digit number with no regrouping & 2-digit numbers with no regrouping
• Adds 2-digit to 3-digit number, with no regrouping, with sums under 1000 & money vertically, with no regrouping
• Subtracts two 1-digit numbers horizontally and vertically & two whole numbers, with the minuend between 9 and 19, horizontally
• Subtracts a 2-digit number from a 2-digit number, with no regrouping
• Uses strategies for addition facts (e.g., compatible numbers, counting on, doubles, neighbors, making tens) and
• Uses strategies for subtraction facts (e.g., counting back, one less, two less)• Solves real-world whole number addition problems with sums to 20 (result unknown)
• Instantly recalls basic multiplication facts where one factor is 0-5 and the other factor is 0-12
VOCABULARY: • Add, • Difference, • Double, • Number sentence, • Sum
SIGNS AND SYMBOLS: • × Multiplication, • − Subtraction
RIT Below 161:• Adds two 1-digit numbers with sums to 10 in horizontal format
SIGNS AND SYMBOLS: • + Addition, • = Is equal to, • Variable
RIT Above 271:
• Solves problems involving successive discounts
RIT 261-270:• Uses the compound interest equation to solve problems
VOCABULARY: • Compound interest, • Semi-annual
SIGNS AND SYMBOLS: • P Principal, • r Rate, • t Time
RIT 251-260:• Solves problems with scientific notation & problems involving complex percent discounts (e.g., finding percent discount, regular price)
• Simplifies rational expressions with exponents
• Uses the additive inverse property with rational numbers• Identifies the commutative property of multiplication
• Performs basic operations on matrices
VOCABULARY: • Pair
RIT 241-250:• Subtracts integers
• Solves real-world problems involving addition, subtraction multiplication, and division of integers (analysis)
• Solves problems with scientific notation & multiple-step problems involving proportions & problems involving a fractional increase
• Solves problems involving percents (analysis) & involving simple percent discounts (e.g., finding sale price)
• Solves problems involving complex percent discounts (e.g., finding percent discount, regular price) & involving simple interest rates without the formula
• Calculates a percent of a rational number (e.g., 6% of 0.78) & the percent one number is of another (e.g., 20 is what % of 90)
• Calculates commission/deductions and total pay
• Estimates the square roots of numbers
• Simplifies rational expressions with scientific notation & with exponents• Evaluates numerical expressions using the order of operations (using integers)
• Evaluates expressions using the order of operations, including exponents (whole numbers only) (using integers)
• Identifies the associative property of addition
• Performs basic operations on matrices
• Uses the multiplicative inverse property with rational numbers & estimation to solve problems involving decimals
RIT 231-240:
• Adds fractions with unlike denominators, with reducing or converting to a mixed fraction & whole numbers, fractions, and mixed fractions, without reducing
• Adds mixed fractions where converting from improper fractions is necessary & integers with unlike signs & several positive and negative integers
• Subtracts whole numbers, fractions, and mixed fractions, with regrouping & a decimal from a whole number, horizontally & integers & rational expressions
• Multiplies mixed fractions & a decimal by 10, 100, 1000 & integers with like signs & rational expressions
• Divides multiple-digit numbers & a fraction by a fraction & a fraction by a whole number & a whole number by a fraction & rational expressions
• Divides a mixed fraction by a whole number & a whole number by a mixed fraction & a mixed fraction by a fraction & a fraction by a mixed fraction
• Divides a mixed fraction by a mixed fraction & a whole number by a decimal & a decimal by 10, 100, 1000 & a decimal by a decimal
• Divides integers with like signs
• Describes the effects of multiplying a number by a number between 0 and 1
• Simplifies rational expressions with absolute value
• Predicts the relative size of the answer when dividing a smaller whole number by a larger whole number
• Models algorithms using place value concepts (addition and subtraction with whole numbers) (multiplication and division with whole numbers)
• Solves real-world problems involving addition and subtraction of fractions, where converting both denominators is necessary
• Solves 2- or more step real-world problems involving fractions with multiplication and division & multiple-step problems involving proportions
• Solves problems involving fractions (e.g., multiple operations, conversions) & real-world problems involving rate of pay with time and a half
• Solves difficult real-world problems involving decimals (e.g., multiple multiplications, conversions) & real-world problems involving rate of pay
• Solves problems involving decimals (e.g., conversions) & real-world problems involving addition and subtraction of integers (analysis)
• Solves real-world problems involving multiplication and division of integers (analysis) & problems involving simple percent discounts (e.g., finding sale price)
• Solves problems with scientific notation & problems involving equivalent fractions (analysis) & problems involving ratios
• Solves problems involving percents & involving percents (analysis) & involving percent increase and decrease & involving tax and tips
• Calculates a percent of a number (e.g. 6% of 30) & the percent one number is of another (e.g., 20 is what % of 90)
• Calculates commission/deductions and total pay & the power of a number (e.g., 8 = 2^3)
• Calculates the positive square root of a perfect square & with exponents and roots (e.g., 3^2 x 2^3)
• Evaluates numerical expressions using the order of operations (whole numbers only) (using integers)
• Evaluates expressions using the order of operations, including exponents (whole numbers only)
• Identifies the distributive property
• Performs basic operations on matrices
• Uses appropriate algorithms to represent multiplication or division with whole numbers & the distributive property
• Uses estimation to solve problems involving decimals & involving proportional reasoning (decimals only)
• Determines the most accurate answer (fractions only)
VOCABULARY: • Commission, • Discount, • Equality, • Identity element, • Matrix, • Representative sample, • Scientific notation
SIGNS AND SYMBOLS: • [ ] Square brackets, • || Absolute value, • BC, • km Kilometer/kilometer, • • Multiplication symbol, • Square root symbol
RIT 221-230:• Adds fractions with like denominators, with reducing or converting to a mixed fraction & fractions with unlike denominators, without reducing
• Adds fractions with unlike denominators, with reducing or converting to a mixed fraction & whole numbers, fractions, and mixed fractions, without reducing
• Adds mixed fractions where converting from improper fractions is necessary & decimals through the hundred-thousandths place
• Adds decimals to the hundredths place in horizontal format (not same number of digits) & integers with unlike signs
• Adds several positive and negative integers & rational expressions
• Adds and subtracts percent
• Subtracts decimals to the hundredths place (not same number of digits) & decimals to the thousandths place, horizontally, with and without regrouping
• Subtracts decimals through the hundred-thousandths place, horizontally & a decimal from a whole number, horizontally• Subtracts fractions with like denominators, with reducing & fractions with unlike denominators, without reducing
• Subtracts fractions with unlike denominators, with reducing & mixed fractions with unlike denominators, with no regrouping
• Subtracts whole numbers, fractions, and mixed fractions, with regrouping
• Multiplies multiple-digit numbers & a fraction by a fraction, without reducing to simplest form (complex problem)
• Multiplies a fraction by a fraction, where reducing to simplest form is necessary & a fraction by a whole number & mixed fractions
• Multiplies a decimal by a decimal, vertical form (factors to tenths or hundredths) & a decimal by a decimal (factors to hundredths)
• Multiplies a decimal by 10, 100, 1000 & a decimal by a decimal (factors to thousandths) & integers with unlike signs
• Divides a 4-digit number by a 2-digit number & multiple-digit numbers & numbers by powers of 10 & a fraction by a fraction
• Divides a mixed fraction by a fraction & a decimal by 10, 100, 1000 & a decimal by a decimal & integers with unlike signs
• Predicts the relative size of the answer when adding and subtracting whole numbers & the relative size of the answer when dividing whole numbers
• Models algorithms using place value concepts (addition and subtraction with whole numbers) (multiplication and division with whole numbers)
• Computes the value of multiple bills and coins (multiplication/division) & with dollars and cents over $5.00 and converts to decimals (multiplication/division)
• Calculates basic percents of a number (e.g., 10%, 20%, 25%, 50%, 100%) & a percent of a number (e.g. 6% of 30)
• Calculates a number from a percent (e.g., 4 is 9% of what)
• Solves complex word problems involving whole number division with remainder (e.g., 2-step, 2-digit divisor) & problems involving ratios
• Solves real-world multiple-step problems involving whole numbers & 1-step real-world problems involving fractions with multiplication and division
• Solves real-world problems involving addition and subtraction of fractions, where converting one denominator is necessary
• Solves 2- or more step real-world problems involving fractions with multiplication and division & real-world problems involving rate of pay
• Solves problems involving fractions (e.g., multiple operations, conversions)* & problems involving addition and subtraction of integers
• Solves difficult real-world problems involving decimals (e.g., multiple multiplications, conversions) & problems involving percents
• Solves real-world problems involving addition, subtraction, multiplication, and division of integers & 1-step problems involving proportions
• Solves problems involving tax and tips & involving simple interest rates with the formula & comparing percents, fractions, and decimals
• Solves problems involving ratios & 1-step problems involving proportions & problems involving percents & problems involving tax and tips
• Solves problems involving simple interest rates with the formula & problems comparing percents, fractions, and decimals
• Demonstrates an understanding of the commutative property of multiplication with complex problems (e.g., parenthesis, 3 factors)
• Demonstrates an understanding of multiple properties• Uses division for multiple-step problems & number sense strategies to judge the reasonableness of given answers (multiplication/division only)
• Uses multiplication strategies to develop computational fluency (e.g., doubles, 9-patterns, decomposing, partial products)
• Uses the distributive property & estimation to solve problems involving fractions and mixed numbers
• Uses rounding to estimate answers to real-world problems involving multiplication and division of numbers less than 100 (whole numbers only)
• Uses rounding to estimate answers to real-world problems involving numbers less than 1000 with multiplication and division
• Uses rounding to estimate answers to real-world problems involving numbers 1000 or greater using multiplication and division (whole numbers only)• Uses rounding to estimate answers to real-world problems involving fractions and mixed numbers
VOCABULARY: • Borrow, • Cents per mile, • Compute, • Cord, • Half hour, • Net, • Partial product, • Range, • Short, • Tax, • Tenths, • Whole
SIGNS AND SYMBOLS: • gal Gallon, • I Interest, • M Meter/metre, • : Ratio, • : Used with time
RIT 211-220:• Adds integers with like signs & fractions with like denominators, without reducing & mixed fractions with like denominators
• Adds fractions with like denominators, with reducing or converting to a mixed fraction & fractions with unlike denominators, without reducing
• Adds simple mixed fractions with unlike denominators (e.g., halves, thirds, fourths, eighths)
• Adds decimals to the hundredths place in horizontal format (not same number of digits)
• Adds decimals to the thousandths place horizontally, with and without regrouping & decimals through the hundred-thousandths place
• Subtracts numbers with 5-digits or more, with regrouping & fractions with unlike denominators, without reducing
• Subtracts simple fractions with unlike denominators, without reducing (e.g., halves, quarters, thirds, eighths)
• Subtracts mixed fractions with like and unlike denominators, with no regrouping
• Subtracts decimals to the thousandths place, vertically, with the zero missing in the ones place
• Subtracts decimals to the thousandths place, horizontally, with and without regrouping
• Multiplies a 2-digit number by a 2-digit number with regrouping & a 3-digit number by a 2-digit number with regrouping & multiple-digit numbers
• Multiplies a 3-digit number by a 3-digit number & a 4- or more digit number by multiples of 100 or 1000 & integers with unlike signs
• Multiplies a fraction by a fraction, where reducing to simplest form is necessary & a fraction by a whole number
• Multiplies a decimal by a decimal, vertical form (factors to tenths or hundredths) & a decimal by a decimal (factors to hundredths)
• Divides a 2-digit number or a 3-digit number by a 1- digit number, with a remainder & a 3-digit number by a 2-digit number
• Divides a 4-digit number by a 1-digit number, with no remainder and with a remainder & a 4-digit number by a 2-digit number
• Divides a whole number by a whole number and expresses the remainder as a decimal & multiple-digit numbers
• Divides integers with unlike signs & a decimal by a whole number
• Evaluates a numerical equation involving more than one operation & number sense strategies used to solve problems
• Performs mental computation with multiplication and division
• Predicts the relative size of the answer when adding and subtracting whole numbers & when computing with 10's, 100's, 1000's
• Predicts the relative size of the answer when multiplying whole numbers• Instantly recalls basic multiplication and division facts in a table
• Analyzes and computes 1 operation on real-world problems involving money over $5.00 (addition/subtraction only) (multiplication/division)
• Computes the value of multiple bills and coins (addition/subtraction only) & addition and subtraction on multiple-step real-world problems involving money
• Computes addition, subtraction, multiplication, and division on multiple-step real-world problems involving money
• Computes with dollars and cents over $5.00 and converts to decimals (multiplication/division)• Solves problems using the inverse relationship between multiplication and division & whole number word problems with division over 10 x 10
• Solves complex word problems involving whole number division with remainder (e.g., 2-step, 2-digit divisor)
• Solves real-world problems involving 2-step multiple operations, whole numbers only & real-world multiple-step problems involving whole numbers
• Solves real-world problems involving addition and subtraction of fractions, where converting one denominator is necessary
• Solves 1-step real-world problems involving fractions with multiplication and division & real-world problems involving addition and subtraction of integers
• Solves real-world problems involving decimals (not money) using multiplication & problems involving equivalent fractions
• Solves real-world problems involving multiplication and division of integers & 1-step problems involving proportions
• Calculates basic percents of a number (e.g., 10%, 20%, 25%, 50%, 100%) & the value of a power (e.g., 2^3 = 8)
• Recognizes multiplication and division fact families
• Demonstrates an understanding of the inverse relationship between addition and subtraction & an understanding that division by 0 is undefined
• Demonstrates an understanding of the associative property of multiplication
• Demonstrates an understanding of the commutative property of multiplication with simple problems
• Demonstrates an understanding of the distributive property of multiplication by decomposing a term• Uses strategies to determine 2 or more missing digits (addition/subtraction only) (multiplication/division only)
• Uses reasoning strategies to solve magic squares and related puzzles (addition/subtraction only)
• Uses number sense strategies to solve problems (multiplication/division) & the commutative property of addition with rational numbers
• Uses referent numbers to estimate answers when adding and subtracting fractions and mixed numbers
• Uses rounding to estimate answers to difficult multiplication and division problems (whole numbers only)
• Uses rounding to estimate answers to 1-step problems involving answers $20 or greater (using decimals)
• Uses rounding to estimate answers to 2-step problems involving money (using decimals)
• Uses rounding to estimate answers to real-world problems involving multiplication and division of numbers less than 100 (whole numbers only)
• Uses rounding to estimate answers to real-world problems involving numbers less than 1000 with multiplication and division
• Uses rounding to estimate answers to real-world problems involving numbers 1000 or greater using multiplication and division (whole numbers only)
VOCABULARY: • Interest, • Lowest terms, • Proof, • Reduce, • Smaller, • Triple
SIGNS AND SYMBOLS: • > Greater than, • in. Inch, • kg Kilogram, • < Less than, • Mph Miles per hour, • + Positive number
RIT 201-210:• Adds multiple-digit numbers, with sums under 1000 & multiple-digit numbers, with regrouping, with sums over 1000
• Adds and subtracts whole numbers using place value & fractions with like denominators, without reducing
• Adds simple mixed fractions with unlike denominators (e.g., halves, thirds, fourths, eighths) & whole numbers and fractions
• Adds decimals to the hundredths place in vertical format (not same number of digits)
• Adds decimals to the thousandths place horizontally, with and without regrouping
• Subtracts 3- or 4-digit numbers, with regrouping & 5-digits or more, with regrouping & fractions with like denominators, without reducing
• Subtracts mixed fractions with like denominators, with no regrouping & whole numbers, fractions, and mixed fractions
• Subtracts decimals to the hundredths place (same number of digits) with regrouping
• Subtracts decimals to the thousandths place, vertically, with and without regrouping
• Subtracts decimals through the hundred-thousandths place, vertically
• Multiplies a 2-digit number by a 1-digit number with regrouping & a 3- or 4-digit number by a 1-digit number & multiple 1-digit numbers
• Multiplies a 2-digit number by a 2-digit number with no regrouping and with regrouping & a 3-digit number by a 2-digit number with regrouping
• Multiplies a 3-digit number by a 3-digit number & a 2- or 3-digit number by multiples of 10 or100 & a decimal by whole number
• Multiplies a fraction by a fraction, without reducing to simplest form (simple problem)
• Divides a 1-digit number by a 1-digit number, with a remainder & a 2-digit number by a 1-digit number, with no remainder
• Divides a 2-digit number or a 3-digit number by a 1-digit number, with a remainder & a 3-digit number by a 1-digit number, with no remainder
• Divides a 4-digit number by a 1-digit number, with no remainder & a 4-digit number by a 1-digit number, with a remainder
• Divides a 2-digit number by a 2-digit number, with a remainder & a 3-digit number by a multiple of 10
• Divides a 4-digit number by a 2-digit number & a decimal by a whole number
• Instantly recalls basic addition facts with sums to 18 in a table & basic multiplication facts where one factor is 6-12 and the other factor is 0-12
• Instantly recalls basic multiplication and division facts in a table & division facts with dividend and divisors less than 13
• Evaluates a numerical equation involving more than one operation & numerical expressions using grouping symbols (whole numbers only)
• Performs mental computation with more than 4 addends & mental subtraction with numbers 1000 and over
• Performs mental computation with multiplication and with division
• Solves real-world whole number addition problems with sums to 100 (start unknown) & whole number subtraction word problems with numbers over 1000
• Solves real-world whole number problems involving subtraction with numbers 100 and under (analysis)
• Solves word problems involving whole number multiplication with numbers greater than 10 x 10
• Solves word problems with whole number division facts with dividend and divisors less than 11
• Solves whole number word problems with division over 10 x 10 & real-world problems involving addition and subtraction of integers
• Solves simple word problems involving whole number division with remainder (e.g., 1-step, 1-digit divisor)• Solves real-world problems involving 2-step multiple operations, whole numbers only
• Solves real-world 1-step problems involving addition and subtraction of fractions with like denominators
• Computes the value of multiple bills and coins (addition/subtraction only) & money problems with multiple operations (addition/subtraction only)
• Computes addition and subtraction on multiple-step real-world problems involving money
• Computes addition, subtraction, multiplication, and division on multiple-step real-world problems involving money• Computes with dollars and cents up to and including $5.00 and converts to decimals (multiplication/division)
• Demonstrates an understanding of the associative and commutative property of addition & of the zero property of addition (identity)
• Demonstrates an understanding of symmetric property applied to basic addition and subtraction facts (e.g., 10 = 2 + 8 is the same as 2 + 8 = 10 or 7 = 10 - 3 is the same as 10 - 3 = 7)*
• Demonstrates an understanding of the commutative property of multiplication with simple problems
• Demonstrates an understanding of symmetric property applied to multiplication (e.g., 8 x 4 = 32 is the same as 32 = 8 x 4)
• Recognizes multiplication and division fact families• Uses strategies to determine 2 or more missing digits (addition/subtraction only) & the commutative property of addition with rational numbers
• Uses number sense strategies to solve problems (addition/subtraction only) & front end estimation for multiplication and division (whole numbers only)
• Uses reasoning strategies to solve magic squares and related puzzles (addition/subtraction only)
• Uses front end digits to estimate answers in addition and subtraction problems (whole numbers only)
• Uses rounding to estimate answers to addition and subtraction problems (whole numbers only)
• Uses rounding to estimate answers to simple multiplication and division problems (whole numbers only)
• Uses rounding to estimate answers to 1-step problems involving answers $20 or greater (using decimals)
• Uses rounding to estimate answers to 2-step problems involving money (using decimals)
• Uses rounding to estimate answers to 2-step problems involving money (whole numbers only)
• Uses rounding to estimate answers to real-world problems involving numbers 1000 or greater with addition and subtraction (whole numbers only)
VOCABULARY: • Above, • Annual, • Below, • Column, • Commutative, • Compatible numbers, • Inverse operation, • Kilowatt, • Magic square,
• Plus, • Property, • Remainder
SIGNS AND SYMBOLS: • ? A variable, • a.m., • ° Degrees, • - Negative number, • ° ºC, • p.m.
RIT 191-200:• Adds 2-digit to 3-digit number, with regrouping & multiple-digit numbers, with sums under 1000 & money with regrouping
• Adds two 3- and/or 4-digit numbers, with regrouping, with sums over 1000 & multiple-digit numbers, with regrouping, with sums over 1000
• Adds decimals to the hundredths place (same number of digits) & decimals to the hundredths place in vertical format (not same number of digits)
• Adds decimals to the thousandths place vertically, with and without regrouping
• Adds and subtracts whole numbers using place value
• Subtracts 1-digit number from a 2-digit number, with regrouping & a 2-digit number from a 2-digit number, with regrouping
• Subtracts a 2-digit number from a 3-digit number with a single regrouping & multiple-digit numbers, with no regrouping
• Subtracts 3- or 4-digit numbers, with regrouping & decimals to the thousandths place, vertically, with and without regrouping
• Subtracts decimals to the hundredths place (same number of digits) with and without regrouping
• Subtracts fractions with like denominators, without reducing
• Multiplies a 2- or 3-digit number by a 1-digit number with no regrouping & a 2-digit number by a 1-digit number with regrouping
• Multiplies a 3- or 4-digit number by a 1-digit number & a 2-digit number by a 2-digit number with no regrouping
• Multiplies a 3-digit number by a 2-digit number with no regrouping & a decimal by whole number
• Divides a 2-digit number by a 1-digit number, with no remainder
• Performs mental subtraction with numbers under 1000 & with numbers 1000 and over
• Instantly recalls basic multiplication facts where one factor is 6-12 and the other factor is 0-12
• Instantly recalls division facts with dividend and divisors less than 10 & with dividend and divisors less than 13
• Performs mental computation with multiplication
• Solves problems using the inverse relationship between addition and subtraction & problems involving basic percent concepts (e.g., 10%, 50%, 100%)
• Solves word problems involving basic whole number multiplication facts to 10 x 10 & with numbers greater than 10 x 10
• Solves word problems with whole number division facts with dividend and divisors less than 11 & simple word problems involving whole number
• Solves real-world 1-step problems involving addition and subtraction of fractions with like denominators• Solves real-world problems involving decimals (not money) using addition and subtraction
• Solves real-world 1-step problems involving multiplication or division of a whole number by a fraction
• Solves real-world whole number addition problems with sums to 20 (result unknown) - analysis & with sums to 100 (start unknown)
• Solves real-world whole number problems involving subtraction with numbers 100 and under & with numbers under 1000
• Solves whole number addition word problems with sums over 1000 & whole number subtraction word problems with numbers over 1000
• Computes 1 operation on real-world problems involving money over $5.00 (multiplication/division) & half price (multiplication/division)
• Computes with dollars and cents up to and including $5.00 and converts to decimals (multiplication/division)• Computes 1 operation on real-world problems involving money over $5.00 (addition/subtraction only)
• Computes with dollars and cents up to and including $5.00 and converts to decimals (addition/subtraction only)
• Evaluates numerical expressions using grouping symbols (whole numbers only)
• Demonstrates an understanding of the commutative property of multiplication with simple problems
• Demonstrates an understanding of the zero property of multiplication & of the multiplicative property of 1 (identity)• Uses strategies for sums and differences with 2-digit numbers (e.g., decomposing, compatible, compensation, partial sums, counting on)
• Uses number sense strategies to judge the reasonableness of given answers (addition/subtraction only)
• Uses front end digits to estimate answers in addition and subtraction problems (whole numbers only)
• Uses rounding to estimate answers to addition and subtraction problems (whole numbers only)
• Uses rounding to estimate answers to 1-step problems involving answers less than $20 (decimals only, e.g., $1.20 + $2.75)
• Uses rounding to estimate answers to 1-step problems involving answers less than $1 (whole numbers only, e.g., 10 cents + 10 cents)
• Uses rounding to estimate answers to real-world problems involving numbers less than 1000 with addition and subtraction (whole numbers only)
• Uses strategies to determine 1 missing digit (multiplication/division only) & repeated subtraction for division
VOCABULARY: • Altitude, • Billion, • Capacity, • Deposit, • Hundredths, • Longer, • Percent, • Thousands, • Zero
SIGNS AND SYMBOLS: • ≈ Approximately equal to, • ft Feet, • ° ºF, • % Percent, • R Remainder
RIT 181-190:• Adds 1-digit to multiple-digit number, with regrouping & two or three 2-digit numbers, with regrouping & 2-digit to 3-digit number, with regrouping
• Adds 3-digit numbers, with regrouping, with sums under 1000 & two 3- and/or 4-digit numbers, with regrouping, with sums over 1000
• Adds multiple-digit numbers, with regrouping, with sums over 1000 & money with regrouping & decimals to the hundredths place (same number of digits)
• Subtracts 1-digit number from a 2-digit number, with regrouping & a 1-digit number from a multiple-digit number
• Subtracts 2- and/or 3-digit numbers with no regrouping & s 2-digit number from a 2-digit number, with regrouping
• Subtracts multiple-digit numbers, with no regrouping & 3- or 4-digit numbers, with regrouping
• Subtracts decimals to the hundredths place (same number of digits) without regrouping
• Performs mental computation with 2, 3, or 4 addends & mental subtraction with numbers under 1000
• Multiplies basic facts to 10 x 10 vertically & a 2-digit number by a 1-digit number with regrouping
• Instantly recalls basic subtraction facts with minuend less than 10 & division facts with dividend and divisors less than 10
• Solves real-world whole number addition problems with sums to 20 (result unknown) - analysis (start unknown)
• Solves real-world whole number addition problems with sums to 100 (result unknown) & with sums to 1000
• Solves real-world whole number problems involving subtraction with numbers under 20 & with numbers 100 and under
• Solves real-world whole number problems involving subtraction with numbers under 1000
• Solves real-world whole number problems involving addition and subtraction
• Solves word problems involving basic whole number multiplication facts to 10 x 10• Solves word problems with whole number division facts with dividend and divisors less that 11, involving money
• Computes 1 operation on addition or subtraction real world problems involving money up to $5.00• Computes with dollars and cents up to and including $5.00 and converts to decimals (addition/subtraction only)
• Recognizes fact families through 18
• Demonstrates an understanding of the zero property of multiplication & an understanding of the inverse relationship between multiplication and division• Uses strategies for sums and differences with 2-digit numbers (e.g., decomposing, compatible, compensation, partial sums, counting on)
• Uses sharing for division
• Uses rounding to estimate answers to real-world problems involving addition of numbers less than 100 (whole numbers only)
VOCABULARY: • Cost, • Equivalent, • Set, • Unifix cubes
SIGNS AND SYMBOLS: • ÷ Division, • Long division symbol
RIT 171-180:• Adds 1-digit numbers with sums to 18 (with parentheses) & 2-digit to 3-digit number, with no regrouping, with sums under 1000
• Adds 3-digit numbers, with no regrouping & two or three 2-digit numbers, with regrouping
• Adds 3-digit numbers, with regrouping, with sums under 1000 & 1-, 2-, and/or 3-digit numbers, with sums under 100
• Adds multiple-digit numbers, with no regrouping, with sums over 1000
• Subtracts two whole numbers, with the minuend between 9 and 19, horizontally & a 1-digit number from a multiple-digit number
• Subtracts a 1-digit number from a 2-digit number, with no regrouping, vertically
• Subtracts a 2-digit number from a 2-digit number, with no regrouping & 2- and/or 3-digit numbers with no regrouping
• Uses strategies for addition facts (e.g., compatible numbers, counting on, doubles, neighbors, making tens)
• Uses strategies for subtraction facts (e.g., counting back, one less, two less)
• Solves real-world whole number addition problems with sums to 20 (result unknown) (start unknown) (change unknown)
• Solves real-world whole number addition problems with sums to 100 (result unknown) & whole number addition problems with sums to 1000
• Solves real-world whole number problems involving subtraction with numbers under 20
• Instantly recalls basic multiplication facts where one factor is 0-5 and the other factor is 0-12
• Multiplies basic facts to 10 x 10 vertically
• Recognizes fact families through 18• Demonstrates an understanding that vertical and horizontal representations are equivalent
VOCABULARY: • Fact family, • Penny
SIGNS AND SYMBOLS: • ( ) Order of operations, • ¢ Cent sign, • lb Pound
RIT 161-170:• Adds two 1-digit numbers with sums to 10 and between 10 and 19 in horizontal format and in vertical format
• Adds multiple 1-digit numbers & 1-digit to multiple-digit number with no regrouping & 2-digit numbers with no regrouping
• Adds 2-digit to 3-digit number, with no regrouping, with sums under 1000 & money vertically, with no regrouping
• Subtracts two 1-digit numbers horizontally and vertically & two whole numbers, with the minuend between 9 and 19, horizontally
• Subtracts a 2-digit number from a 2-digit number, with no regrouping
• Uses strategies for addition facts (e.g., compatible numbers, counting on, doubles, neighbors, making tens) and
• Uses strategies for subtraction facts (e.g., counting back, one less, two less)• Solves real-world whole number addition problems with sums to 20 (result unknown)
• Instantly recalls basic multiplication facts where one factor is 0-5 and the other factor is 0-12
VOCABULARY: • Add, • Difference, • Double, • Number sentence, • Sum
SIGNS AND SYMBOLS: • × Multiplication, • − Subtraction
RIT Below 161:• Adds two 1-digit numbers with sums to 10 in horizontal format
SIGNS AND SYMBOLS: • + Addition, • = Is equal to, • Variable