6th Grade — Math & English
Develop problem-solving and algebraic thinking alongside reading comprehension and grammar. Each session combines both subjects.
Math Topics MATH
Add & Subtract Whole Numbers
Multi-digit operations and word problemsFluently add and subtract multi-digit whole numbers, solve multi-step word problems, and estimate to check reasonableness of answers.
Multiply Whole Numbers
Multi-digit, zeros, estimation, word problemsMultiply multi-digit numbers using the standard algorithm, work with numbers ending in zeros, estimate products, and solve real-world multiplication problems.
Divide Whole Numbers
Divisibility, estimation, 2- and 3-digit divisorsApply divisibility rules, estimate quotients, divide by 2- and 3-digit divisors using long division, and interpret remainders in word problems.
Exponents
Writing expressions, evaluating powers, decimal/fractional basesWrite repeated multiplication using exponents, evaluate powers with whole number, decimal, and fractional bases, and find missing exponents or bases.
Number Theory
Primes, composites, GCF, LCM, prime factorizationIdentify prime and composite numbers, find prime factorization, determine GCF and LCM, and apply these concepts to simplify fractions and find common denominators.
Integers
Number lines, absolute value, comparing, orderingUnderstand positive and negative integers, plot them on number lines, find absolute value, and compare/order integers including in real-world contexts (temperature, elevation).
Operations with Integers
Addition, subtraction, multiplication, divisionAdd, subtract, multiply, and divide positive and negative integers. Understand the rules for signs and apply integer operations to solve equations and word problems.
Decimals
Operations, rounding, estimation, word problemsPerform all four operations with decimals, round to specified places, estimate decimal calculations, and solve multi-step decimal word problems.
Fractions & Mixed Numbers
Operations, simplification, conversionAdd, subtract, multiply, and divide fractions and mixed numbers. Simplify fractions, convert between improper fractions and mixed numbers, and solve word problems.
Ratios & Rates
Ratios, unit rates, equivalent ratios, tablesUnderstand ratio language, find unit rates, generate equivalent ratios, use ratio tables, and solve real-world problems involving ratios and rates.
Percents
Fractions/decimals to percents, percent of a numberConvert between fractions, decimals, and percents. Find the percent of a number, solve percent word problems, and understand percent as 'per 100.'
Expressions & Equations
Variables, evaluating, simplifying, one-step equationsWrite and evaluate variable expressions, apply properties to simplify, and solve one-step equations using addition, subtraction, multiplication, and division.
Coordinate Plane & Geometry
Plotting, area, surface area, volume, netsPlot points in all four quadrants, calculate area of triangles and special quadrilaterals, find surface area using nets, and compute volume of rectangular prisms.
Data & Statistics
Mean, median, mode, range, box plots, histogramsCalculate measures of center (mean, median, mode) and spread (range), create and interpret box plots, histograms, and dot plots to analyze data distributions.
English Topics ENGLISH
Reading Comprehension
Fiction & nonfiction analysis, theme, purposeAnalyze fiction and nonfiction texts, identify themes and author's purpose, make text-to-text connections, and cite evidence to support interpretations.
Vocabulary & Word Study
Greek/Latin roots, analogies, connotationBuild vocabulary through Greek and Latin roots, understand word relationships through analogies, and distinguish between connotation and denotation.
Grammar & Usage
Subject-verb agreement, pronouns, verb tenses, clausesMaster subject-verb agreement, use pronouns correctly (including cases), maintain consistent verb tenses, and identify independent and dependent clauses.
Writing Skills
Argumentative & informational writing, evidenceWrite argumentative and informational essays with clear claims, supporting evidence, logical organization, and appropriate transitions between ideas.