5th Grade — Math & English
Build competitive math foundations alongside reading comprehension and grammar skills. Each session combines Math and English for a complete learning experience.
Math Topics MATH
Whole Numbers & Place Value
Standard/expanded form, place value, Roman numeralsConvert between standard and expanded form, understand the relationship between place values (each place is 10× the one to its right), read and write numbers in words, and work with Roman numerals up to M.
Addition & Subtraction
Estimation, multi-digit operations, word problemsEstimate sums and differences, add and subtract multi-digit whole numbers fluently, solve real-world word problems, and apply properties of addition (commutative, associative, identity).
Powers of Ten
Evaluating and writing powers of ten with exponentsUnderstand what powers of ten mean, evaluate expressions like 10³ = 1000, and write powers of ten using exponent notation. Foundation for scientific notation.
Multiplication
Patterns, zeros, estimation, multi-digitIdentify multiplication patterns across place values, multiply numbers ending in zeros, estimate products, and perform multi-digit multiplication using the standard algorithm.
Division
Patterns, estimation, long division, divisibilityUse division patterns with zeros, estimate quotients, perform long division with 2-digit divisors, interpret remainders in context, and apply divisibility rules.
Number Theory
Factors, multiples, prime & composite, GCF, LCMFind factor pairs, identify prime and composite numbers, determine greatest common factor (GCF) and least common multiple (LCM). Building blocks for fraction work.
Decimals
Place value, comparing, rounding, operationsUnderstand decimal place value through thousandths, compare and order decimals, round to any place, and add/subtract/multiply/divide decimals fluently.
Fractions
Equivalent fractions, mixed numbers, comparingGenerate equivalent fractions, convert between improper fractions and mixed numbers, compare fractions using benchmarks and common denominators.
Add & Subtract Fractions
Like/unlike denominators, mixed numbersAdd and subtract fractions with like and unlike denominators, work with mixed numbers, solve fraction word problems in real-world contexts.
Multiply & Divide Fractions
Fractions × whole numbers, mixed numbersMultiply fractions by whole numbers and other fractions, divide unit fractions, interpret multiplication as scaling, and solve word problems.
Expressions & Equations
Order of operations, variablesUse parentheses, brackets, and braces in expressions, evaluate expressions using order of operations (PEMDAS), and write/interpret simple expressions with variables.
Coordinate Plane
Plotting points, quadrant IPlot and identify ordered pairs in quadrant I, interpret coordinate graphs in real-world contexts, and understand the relationship between x and y values.
Measurement & Data
Unit conversions, volume, line plotsConvert between measurement units within a system, understand volume as a 3D measurement, calculate volume of rectangular prisms, and create/interpret line plots.
Geometry
Classify shapes, area, perimeter, 2D/3DClassify 2D shapes by properties (parallel sides, angles), calculate area and perimeter, understand attributes of 3D figures, and identify lines of symmetry.
English Topics ENGLISH
Reading Comprehension
Main idea, details, inference, summarizingIdentify the main idea and supporting details, make inferences from text evidence, summarize passages accurately, and distinguish between fiction and nonfiction structures.
Vocabulary Building
Context clues, prefixes, suffixes, rootsUse context clues to determine word meaning, break down words using common prefixes (un-, re-, pre-) and suffixes (-tion, -ly, -ful), and identify Greek/Latin root words.
Grammar & Mechanics
Parts of speech, sentence structure, punctuationIdentify and use nouns, verbs, adjectives, adverbs, and pronouns correctly. Construct complete sentences, use commas and quotation marks, and fix run-on sentences.
Writing Foundations
Paragraphs, topic sentences, opinion writingWrite organized paragraphs with clear topic sentences, develop opinion pieces with supporting reasons, and use transition words to connect ideas.