Sixth grade builds the bridge from arithmetic to algebra through ratios & rates, rational numbers, expressions and equations, geometry, and statistics. This free curriculum includes a year map, unit overviews with CCSS codes, and lesson plans. The lesson plans pair with guided notes, and can be extended with with printable practice and self‑checking digital activities, as well as daily SEL routines (warm-ups). Our curriculum is free to read online, and each lesson plan is downloadable.
Students explore decimal place value, addition, subtraction, multiplication, and division of decimals, developing a strong understanding of the decimal number system.
Students explore fractions by understanding GCF & LCM, adding and subtracting fractions with unlike denominators, multiplying fractions and mixed numbers, and dividing fractions and mixed numbers using real-life applications.
Students learn about absolute values, comparing, and ordering integers on number lines, as well as the concept of opposites and real-life applications of integers.
Students explore ratios, rates, unit rates, and their applications in solving problems and making comparisons, followed by learning measurement conversions and percent calculations using equations and double number lines.
Students learn to identify, simplify, evaluate, and write algebraic expressions using mathematical terms, the distributive property, order of operations, and real-life applications. They also explore prime factorization through factor trees and its relevance in everyday scenarios.
Students learn to represent relationships between variables, verify solutions to equations and inequalities, solve one-step equations with positive solutions, and write and graph one-step inequalities.
Students learn about coordinate graphing, calculating areas of triangles, parallelograms, trapezoids, rectangles, and composite figures, as well as surface area and volume of rectangular prisms.
Students learn about mean, median, mode, mean absolute deviation, shapes of distributions, statistical questions, dot plots, histograms, and box and whisker plots to analyze and display numerical data.
6th grade math builds on earlier concepts and introduces new topics. Students typically learn:
The curriculum focuses on problem-solving, critical thinking, and real-world applications. At Congruent Math, we design engaging lessons to help students master these skills and prepare for more advanced math.
6th grade math differs from 5th grade math in several key ways:
Congruent Math's 6th grade curriculum builds on 5th grade foundations while preparing students for pre-algebra and beyond. Our approach ensures a smooth transition between grade levels.
Grade 6 math lessons at Congruent Math typically cover:
Key topics within these areas include:
Our curriculum integrates these lessons with problem-solving skills and real-world applications, ensuring students develop a strong mathematical foundation.
The Common Core standards for 6th grade math focus on several key areas:
These standards aim to build a strong foundation for more advanced math concepts in higher grades.
The most challenging math concepts in 6th grade often include:
At Congruent Math, we recognize these areas as potential stumbling blocks. Our curriculum breaks down difficult concepts into manageable steps, provides ample practice, and offers personalized support to help students master these challenging topics. Remember, what's "hard" varies for each student, but we're here to make all math accessible and engaging.
By the end of 6th grade, students should be proficient in:
Congruent Math's curriculum ensures students master these key skills, preparing them for success in 7th grade and beyond. Our comprehensive approach focuses on both conceptual understanding and practical application, setting a strong foundation for future mathematical learning.
6th grade math is often considered a bridge to pre-algebra. It includes:
While not fully pre-algebra, 6th grade math lays crucial groundwork for it. Congruent Math's curriculum strategically introduces algebraic thinking, preparing students for more advanced math courses. Our approach balances arithmetic skills with early algebraic concepts, ensuring a smooth transition to formal pre-algebra and algebra in later grades.
A typical 6th grader's math level should include:
At Congruent Math, we recognize that each student progresses at their own pace. Our curriculum is designed to meet students at their current level and challenge them appropriately. We focus on building a strong foundation in these core areas while introducing more advanced concepts, ensuring students are well-prepared for upper-grade mathematics.