 | Identify fact families with sums 0-18 in horizontal format |
| Understand the concept of subtraction using symbols; subtract two numbers in vertical format |
Whole Numbers
| Identify fact families with sums 0-18 in horizontal format |
| Understand the concept of subtraction using symbols; subtract two numbers in vertical format |
New Vocabulary in this range: and
New Signs and Symbols: +, =, -
Whole Numbers
| Combine sets through manipulative and pictorial addition problems |
| Add three 1-digit numbers |
| Add 2-and 3-digit numbers with no regrouping |
| Subtract a 1-digit number from a 2-digit number with regrouping |
| Understand the concept of multiplication using symbols; recall multiplication facts with one factor as 1,2,3,4,5 and other factor 0-9 |
New Vocabulary in this range: equals, facts
New Signs and Symbols: x (multiplication symbol)
Whole Numbers
| Separate sets through manipulative and pictorial subtraction problems |
| Add a 2-digit number and a 2-digit number with no regrouping |
| Subtract a 1-digit number from a 2-digit number with no regrouping |
| Subtract a 2-digit number from a 2-digit number with no regrouping |
| Solve simple addition word problems |
| Subtract 2-and 3-digit numbers with no regrouping |
Decimals
| Subtract whole numbers and decimals to the hundredths place (same number of digits) |
New Vocabulary in this range: none
New Signs and Symbols: $, decimal point
Whole Numbers
| Solve simple subtraction word problems |
| Add 1- and 2-digit numbers with regrouping |
| Add two 2-digit and 3-digit numbers with regrouping |
| Subtract two 2-digit numbers with regrouping |
| Understand the concept of multiplication using concrete objects |
| Add 2-, 3- and 4-digit numbers with regrouping |
| Multiply a 2- or 3-digit number by a 1-digit number with no regrouping |
| Multiply a 2-digit number by a 1-digit number with regrouping |
| Identify the associative, commutative, identity and zero property of multiplication |
| Divide a 2-digit number or a 3-digit number by a 1-digit number with remainder |
| Round 2- and 3-digit numbers to the nearest hundred and tens |
| Multiply a 3-digit number by a 2-digit number |
Fractions
| Add fractions with like denominators |
Decimals
| Add whole numbers and decimals to the hundredths place (same number of digits) |
New Vocabulary in this range: closest, how many
New Signs and Symbols: division symbol (both forms)
Whole Numbers
| Subtract a 2-digit number from a 3-digit number with a single regroup |
| Identify the division facts related to a multiplication fact with one factor as 1,2,3,4,5 and the other factor 0-9 |
| Understand the concept of division using concrete objects |
| Subtract a 3- or 4-digit number from a 4-digit number with regrouping |
| Use strategies to develop computational fluency with multiplication: “zero property,” “property of one,” “arrays,” doubles,” “nine patterns” |
| Multiply a 3-digit by a 1-digit number with regrouping (including zero) |
| Multiply three 1-digit numbers or 2-digit numbers |
| Identify the division facts related to a multiplication fact |
| Divide a 2-digit number by a 1-digit number with no remainder |
| Solve one-step word problems involving division |
| Add 2 or several multi-digit numbers with regrouping |
| Subtract multi-digit numbers with regrouping |
| Divide a 3-digit or 4-digit number by a 1-digit number |
| Divide a 2-digit number by a 2-digit number with no remainder |
| Add multi-digit numbers without using a calculator |
| Multiply multi-digit numbers |
Fractions
| Read, shade, and write fractional parts of a group |
| Subtract
mixed numbers with like denominators with regrouping |
Decimals
| Subtract whole numbers and decimals to the hundredths place (same number of digits |
| Add decimals to hundredths place using both horizontal and vertical format (not the same number of digits) |
| Subtract decimals to hundredths place (not the same number of digits |
| Multiply
a decimal by a whole number |
| Divide
a decimal by a whole number and vice versa |
New Vocabulary in this range: none
New Signs and Symbols: none
Whole Numbers
| Solve simple addition word problems |
| Find and extend patterns |
| Demonstrate the associative, commutative, and zero property of addition |
| Identify the associative, commutative, identity and zero property of multiplication |
| Solve one-step word problems involving multiplication |
| Subtract multi-digit numbers with regrouping |
| Round 4- and 5-digit numbers to the nearest hundred thousand, thousand, hundred or ten |
| Multiply a 2-digit number by a 2-digit number with no regrouping |
| Multiply a 2-digit number by a 2-digit number with regrouping |
| Subtract multi-digit numbers without using a calculator |
| Multiply a 3-digit number by a 2-digit number with regrouping |
| Multiply a 3-digit number or 4-digit number by a 2-digit number or 3-digit number with zeros |
Fractions
| Express 1 in many different ways (1/1, 2/2, 4/4) |
| Write improper fractions from picture presentations |
| Subtract fractions with like denominators |
| Add fractions having unlike denominators, answer in lowest terms |
Decimals
| Add whole numbers and decimals to the hundredths place (not the same number of digits) |
| Subtract whole numbers and decimals to the hundredths place (not the same number of digits) |
| Compute basic operations with monetary amounts up to and including $20.00 |
| Round decimals to the nearest whole number |
| Add decimals to thousandths, vertically and horizontally, with and without regrouping |
| Subtract
decimals to thousandths, vertically and horizontally, with and without
regrouping |
| Multiply a decimal by a decimal, vertical form (tenths or hundredths) |
Percents
·
Find a percent of a number (6% of
30)
New Vocabulary in this range: difference, not true, power of 10, rounded, thousands
New Signs and Symbols: ˘, %
Whole Numbers
| Understand the concept of division using pictorial representation |
| Use front-end estimation strategy for multiplication and division |
| Divide a 2-digit number by a 2-digit number with a remainder |
| Subtract multi-digit numbers without using a calculator |
| Multiply by multiples of 10 and 100 with an emphasis on mental math |
| Divide a 3-digit number by a multiple of 10 |
| Divide a 3-digit number by a 2-digit number (no zeros) |
Fractions
| Add mixed numbers with like denominators with regrouping |
| Subtract mixed numbers with like denominators with regrouping |
| Subtract mixed numbers with unlike denominators with regrouping |
| Multiply a fraction by a fraction; answer in lowest terms |
| Multiply mixed numbers |
Decimals
| Add decimals to hundredths place using both horizontal and vertical format |
| Subtract decimals to hundredths place |
| Compute and count change greater than $20.00 |
| Subtract decimals through hundred-thousandths with a calculator |
Percents
| Write a decimal or fraction as a percent; write a percent as a decimal or fraction |
New Vocabulary in this range: estimate, round, closest to, sum, of (used as in “˝ of 36”)
New Signs and Symbols: square root symbol
Whole Numbers
| Divide a 3-digit or 4-digit number by a 1-digit number |
| Use multiplication as a check for division |
| Multiply by multiples of 10 and 100 with an emphasis on mental math |
| Divide a 4-digit number by a 2-digit number |
Fractions
| Change a fractional numeral to its simplest form (lowest terms) |
| Add fractions with like denominators, answer in lowest terms |
| Add mixed numbers with unlike denominators with regrouping |
| Multiply a whole number by a fraction |
| Divide a fraction by a fraction |
| Divide a mixed number by a whole number or a fraction |
| Compare and order fractions and mixed numbers |
Decimals
| Round decimals to nearest whole number, tenth, or hundredth |
| Write a terminating decimal as a fraction or mixed number |
| Round decimals to nearest whole number, tenth, hundredth, or thousandth |
| Add decimals through hundred-thousandths with a calculator |
| Multiply a decimal by a decimal, factors to thousandths |
| Divide a decimal by a whole number and vice versa |
Integers
|
Identify the greater or lesser of 2 integers |
|
Add integers with like signs |
|
Add integers with unlike signs |
|
Add several integers |
|
Multiply integers with unlike signs |
|
Divide integers with unlike signs |
New Vocabulary in this range: smallest, tenth
New Signs and Symbols: - as a negative, + as a positive
Whole Numbers
| Solve for missing addends in an addition or subtraction sentence |
| Develop computational fluency with division facts |
| Divide multi-digit numbers using a calculator |
| Introduce the math strategy of compatible numbers in estimating for all four operations |
Fractions
| Add and subtract fractions with like denominators; change improper fractions to mixed numbers |
| Change a fractional numeral to its simplest form (lowest terms) |
| Subtract fractions having unlike denominators, answer in lowest terms |
| Add and subtract whole numbers, fractions and mixed numbers |
| Use estimation to solve problems involving mixed numbers |
| Divide a whole number, fraction or mixed number by a mixed number |
Decimals
| Relate fractions to decimals |
| Subtract whole numbers and decimals to the hundredths place (same number of digits) |
| Write a number sentence to solve one-step word problems involving the operations of addition, subtraction, and multiplication of fractions and decimals |
| Write a decimal or mixed decimal for a fraction (2/3=0.66) |
| Subtract decimals through hundred-thousandths with a calculator |
| Multiply a decimal by multiples of 10, 100, or 1000 |
| Divide a whole number (or decimal) by a decimal to thousandths |
Integers
| Divide integers, like signs |
Percent
|
Write a ratio (fraction) as a percent and percent as a ratio (fraction: denominators are factors of 100) |
| Find the percent one number is of another (20 is what % of 90) |
| Find a number from a percent (4 is 9% of what number) |
New Vocabulary in this range: product, divide, most, if – then, compute, lowest terms
New Signs and Symbols: none
Whole Numbers
| Divide a 2-digit number or a 3-digit number by a 1-digit number with remainder |
| Divide multi-digit numbers using a calculator |
Fractions
| Add fractions having unlike denominators with answer reduced to lowest terms |
| Subtract fractions having unlike denominators with answer reduced to lowest terms |
| Add and subtract mixed numbers with like denominators with regrouping |
| Add and subtract mixed numbers with unlike denominators with regrouping |
| Add and subtract whole numbers, fractions, and mixed numbers |
| Multiply a fraction by a fraction; answer in lowest terms |
| Multiply mixed numbers |
| Divide a fraction by a fraction |
| Divide a mixed number by a whole number or a fraction |
| Multiply three factors using fractions, mixed numbers, and whole numbers in any combination, answer in lowest terms |
| Divide a whole number, fraction, or mixed number by a mixed number |
Decimals
| Add whole numbers and decimals to the hundredths place (same number of digits) |
| Subtract decimals to the hundredths place (not the same number of digits) |
| Subtract decimals to thousandths, vertically and horizontally, with and without regrouping |
| Subtract a decimal from a whole number |
| Multiply a decimal by a decimal, factors to thousandths place |
| Divide a decimal by a whole number and vice versa |
| Divide a whole number (or decimal) by a decimal to thousandths place |
Integers
| Add integers with unlike signs |
| Add several integers |
| Multiply integers with like signs |
| Divide integers with like signs |
Percents
| Find the percent one number is of another (8 is what % of 20?) |
| Find a number from a percent (20 is 45% of what number?) |
New Vocabulary in this range: ‘Solve for n”
New Signs and Symbols: none
Fractions
| Multiply a whole number by a fraction |
Integers
| Understand the meaning of integers |
| Subtract integers, subtracting a negative |
New Vocabulary in this range: decimal fractions, opposite
New Signs and Symbols: none
Integers
| Use the additive inverse property to solve problems |
| Use order of operations rules |
New Vocabulary in this range: sum of opposites
New Signs and Symbols: none
Fractions
| Add and subtract rational numbers with unlike denominators (may involve integers) |
Percents
| Solve problems with successive discounts and rate of interest |
New Vocabulary in this range: none
New Signs and Symbols: none
RIT scores above 270
Fractions
| Multiply a mixed number by a whole number, fraction, or mixed number |
New Vocabulary in this range: none
New Signs and Symbols: none