Homework skill guides for parents

Short, practical guides to the exact skills that show up on K–8 homework: what each skill is, what a practice question looks like, the mistakes kids make most, and a 10-minute way to practice it at home.

Math skills

Equivalent fractions

Equivalent fractions are different fractions that name the same amount, like 1/2, 2/4 and 4/8.

Addition with regrouping

Addition with regrouping (often called carrying) is what you do when a column adds up to 10 or more: you keep the ones digit and move the extra ten to the next column, so 47 + 38 = 85.

Place value

Place value means a digit's value depends on where it sits: in 352, the 3 is worth 300, the 5 is worth 50 and the 2 is worth 2.

Rounding numbers

Rounding means replacing a number with the closest friendly number, like 67 rounding to 70 or 382 rounding to 400.

Counting money

Counting money means finding the total value of a group of coins and bills by counting on from the coin worth the most: a quarter, two dimes and a penny is 25, 35, 45, 46, so 46¢.

Times tables

The times tables are the 100 multiplication facts from 1 × 1 to 10 × 10, and kids learn them fastest by using strategies (doubling, adding one more group, the 9s trick) before memorizing.

Long division

Long division breaks a big division problem into a repeating cycle of small steps: divide, multiply, subtract, bring down, then check by multiplying.

Adding fractions with unlike denominators

To add fractions with unlike denominators, rename them as equivalent fractions with the same denominator, then add the numerators: 3/4 + 1/8 becomes 6/8 + 1/8 = 7/8.

Area and perimeter

Perimeter is the distance around a shape and area is the space inside it: a 6 cm by 4 cm rectangle has a perimeter of 20 cm and an area of 24 square cm.

Order of operations

The order of operations is the agreed order for solving an expression: parentheses first, then exponents, then multiplication and division from left to right, then addition and subtraction from left to right.

Ratios and rates

A ratio compares two amounts, like 4 red marbles to 6 blue ones (4:6, or 2:3), and a unit rate tells how much of one thing for exactly 1 of another, like 50 miles per hour.

Negative numbers

Negative numbers are numbers less than zero, like −5 or a temperature of −4°F, and they're easiest to add and subtract on a number line: adding a positive moves right, adding a negative moves left, and subtracting a negative is the same as adding a positive, so 4 − (−3) = 7.

Two-step equations

A two-step equation like 2x + 5 = 17 takes two moves to solve: undo the adding or subtracting first, then undo the multiplying or dividing, so 2x = 12 and x = 6.

Reading, grammar and writing skills

Plural nouns

A plural noun names more than one thing: cats, boxes, babies, mice.

Main idea

The main idea is what a paragraph or passage is mostly about, and supporting details are the facts and examples that back it up.

Context clues

Context clues are hints in the nearby words and sentences that help a reader figure out an unfamiliar word without a dictionary.

Making inferences

An inference is a smart guess that combines clues from the text with what the reader already knows.

Parts of speech

Parts of speech are the jobs words do in a sentence: nouns name things, verbs show action or being, adjectives describe nouns and adverbs describe verbs.

Subject-verb agreement

Subject-verb agreement means the verb matches its subject: one dog runs, two dogs run.

Contractions

A contraction is two words squeezed into one, with an apostrophe where letters were left out: do + not = don't, I + am = I'm.

Prefixes and suffixes

A prefix is a word part added to the beginning of a word (un + happy = unhappy), and a suffix is added to the end (help + ful = helpful); each one changes the meaning.

Synonyms and antonyms

Synonyms are words that mean the same or almost the same thing (big and large), and antonyms are words with opposite meanings (hot and cold).

Capitalization and punctuation

Every sentence starts with a capital letter and ends with a punctuation mark: a period, a question mark or an exclamation point.

Topic sentences

A topic sentence tells the reader what a whole paragraph will be about: it names the topic and makes a point about it, and in elementary writing it's usually the first sentence.

Which grade is each skill usually taught in?

SkillTypical gradesIn one line
Plural nounsGrade 1 to Grade 3A plural noun names more than one thing: cats, boxes, babies, mice.
Main ideaGrade 2 to Grade 5The main idea is what a paragraph or passage is mostly about, and supporting details are the facts and examples that back it up.
Context cluesGrade 3 to Grade 5Context clues are hints in the nearby words and sentences that help a reader figure out an unfamiliar word without a dictionary.
Making inferencesGrade 3 to Grade 6An inference is a smart guess that combines clues from the text with what the reader already knows.
Parts of speechGrade 2 to Grade 4Parts of speech are the jobs words do in a sentence: nouns name things, verbs show action or being, adjectives describe nouns and adverbs describe verbs.
Subject-verb agreementGrade 2 to Grade 4Subject-verb agreement means the verb matches its subject: one dog runs, two dogs run.
ContractionsGrade 1 to Grade 2A contraction is two words squeezed into one, with an apostrophe where letters were left out: do + not = don't, I + am = I'm.
Prefixes and suffixesGrade 2 to Grade 4A prefix is a word part added to the beginning of a word (un + happy = unhappy), and a suffix is added to the end (help + ful = helpful); each one changes the meaning.
Synonyms and antonymsGrade 1 to Grade 3Synonyms are words that mean the same or almost the same thing (big and large), and antonyms are words with opposite meanings (hot and cold).
Capitalization and punctuationGrade 1 to Grade 3Every sentence starts with a capital letter and ends with a punctuation mark: a period, a question mark or an exclamation point.
Topic sentencesGrade 3 to Grade 5A topic sentence tells the reader what a whole paragraph will be about: it names the topic and makes a point about it, and in elementary writing it's usually the first sentence.
Equivalent fractionsGrade 3 to Grade 5Equivalent fractions are different fractions that name the same amount, like 1/2, 2/4 and 4/8.
Addition with regroupingGrade 2 to Grade 3Addition with regrouping (often called carrying) is what you do when a column adds up to 10 or more: you keep the ones digit and move the extra ten to the next column, so 47 + 38 = 85.
Place valueGrade 1 to Grade 3Place value means a digit's value depends on where it sits: in 352, the 3 is worth 300, the 5 is worth 50 and the 2 is worth 2.
Rounding numbersGrade 3 to Grade 4Rounding means replacing a number with the closest friendly number, like 67 rounding to 70 or 382 rounding to 400.
Counting moneyGrade 1 to Grade 2Counting money means finding the total value of a group of coins and bills by counting on from the coin worth the most: a quarter, two dimes and a penny is 25, 35, 45, 46, so 46¢.
Times tablesGrade 3 to Grade 4The times tables are the 100 multiplication facts from 1 × 1 to 10 × 10, and kids learn them fastest by using strategies (doubling, adding one more group, the 9s trick) before memorizing.
Long divisionGrade 4 to Grade 6Long division breaks a big division problem into a repeating cycle of small steps: divide, multiply, subtract, bring down, then check by multiplying.
Adding fractions with unlike denominatorsGrade 5To add fractions with unlike denominators, rename them as equivalent fractions with the same denominator, then add the numerators: 3/4 + 1/8 becomes 6/8 + 1/8 = 7/8.
Area and perimeterGrade 3 to Grade 4Perimeter is the distance around a shape and area is the space inside it: a 6 cm by 4 cm rectangle has a perimeter of 20 cm and an area of 24 square cm.
Order of operationsGrade 5 to Grade 6The order of operations is the agreed order for solving an expression: parentheses first, then exponents, then multiplication and division from left to right, then addition and subtraction from left to right.
Ratios and ratesGrade 6 to Grade 7A ratio compares two amounts, like 4 red marbles to 6 blue ones (4:6, or 2:3), and a unit rate tells how much of one thing for exactly 1 of another, like 50 miles per hour.
Negative numbersGrade 6 to Grade 7Negative numbers are numbers less than zero, like −5 or a temperature of −4°F, and they're easiest to add and subtract on a number line: adding a positive moves right, adding a negative moves left, and subtracting a negative is the same as adding a positive, so 4 − (−3) = 7.
Two-step equationsGrade 7 to Grade 8A two-step equation like 2x + 5 = 17 takes two moves to solve: undo the adding or subtracting first, then undo the multiplying or dividing, so 2x = 12 and x = 6.

Timing varies by school and curriculum; these are the grades where each skill most often appears on homework.

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