Computation – includes addition,
subtraction, multiplication, division, and rounding of whole numbers,
fractions, decimals, percents, and positive and negative numbers.
Skills
and Concepts
RIT scores lower than 150
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: +, =, -
RIT scores between 151 and 160
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)
RIT scores between 161 and 170
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
- 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
RIT scores between 171 and 180
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
- 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)
RIT scores between 181 and 190
Whole Numbers
- Subtract
a 2-digit number from a 3-digit number with a single regrouping
·
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
- 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
RIT scores between 191 and 200
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
- 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)
·
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: ˘, %
RIT scores between 201 and 210
Whole Numbers
- Understand
the concept of division using pictorial representation
- Use
front-end estimation strategy for multiplication and division
- 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
RIT scores between 211 and 220
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, 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
- Add
integers with like signs
- Add
integers with unlike signs
- Add
several integers
- Divide
integers with unlike signs
New Vocabulary in this range: smallest, tenth
New Signs and Symbols: - as a negative, + as
a positive
RIT scores between 221 and 230
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
- 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
- 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
RIT scores between 231 and 240
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
several integers
- Multiply
integers with like signs
- Divide
integers with like signs
Percents
- 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
RIT scores between 241 and 250
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
RIT scores between 251 and 260
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
RIT scores between 261 and 270
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