|
Computation
– includes addition, subtraction, multiplication, division, and rounding of
whole numbers, fractions, decimals, percents, and positive and negative numbers.
Skills and
Concepts
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 |
|
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 |
|
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 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
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: ˘, %
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
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
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
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
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
Fractions
|
Multiply a mixed number by a whole
number, fraction, or mixed number |
New Vocabulary
in this range: none
New Signs and
Symbols: none
|
