Public learning track
Fraction and Mixed Number Addition and Subtraction
6th Grade · Math · Open Global Math
5 lessons
Goal
Add and subtract proper fractions, improper fractions, and mixed numbers fluently with like and unlike denominators, including signed fractions.
Featured Diagrams
Adding and Subtracting Fractions with Unlike Denominators Using LCM
5 lessons
0 of 5 done
- 1Adding and Subtracting Fractions with Unlike Denominators Using LCMUp nextStart
- 2Adding Mixed Numbers with RegroupingPremiumNot started yet
- 3Subtracting Mixed Numbers with Renaming and RegroupingNot started yet
- 4Adding and Subtracting Signed Rational FractionsNot started yet
- 5Solving Multi-Step Real-World Additive Problems with Rational NumbersNot started yet
Standards Covered
- OGM.7.NS.5Open Global Math Standards 2026™ · Math · Level 7 / Grade 6 (Age 11) · Grade 6Interpret, model, and compute sums, differences, products, and quotients of fractions and mixed numbers; divide fractions by fractions using visual models, reciprocal relationships, and the division algorithm (a/b ÷ c/d = ad/bc), and determine scaling effects when multiplying by rational numbers.
- OGM.7.NS.6Open Global Math Standards 2026™ · Math · Level 7 / Grade 6 (Age 11) · Grade 6Perform arithmetic operations on integers fluently using concrete models, number line representations, and formal algorithms; solve multi-step problems involving additive and multiplicative integer relationships.
Curriculum Framework
6th Grade · Math · Open Global Math
1
8 lessons
Divisibility Rules, Prime Factorization, and Number Properties
Identify prime, composite, and square numbers, apply comprehensive divisibility rules, and find prime factorizations using exponents.
2
5 lessons
GCF, LCM, and Distributive Property Applications
Find the greatest common factor and least common multiple using prime powers and apply the distributive property to factor numerical expressions.
3
5 lessons
Multi-Digit Whole Number Division and Remainder Interpretation
Execute the standard algorithm for multi-digit whole number division and interpret remainders in diverse real-world contexts.
4
6 lessons
Integers, Number Lines, and Absolute Value
Represent, compare, and order positive and negative integers on horizontal and vertical lines, and interpret absolute value as magnitude in context.
5
7 lessons
Integer Addition and Subtraction Mastery
Add and subtract integers fluently using counter models, number lines, and algebraic rules, and solve real-world multi-step problems.
6
5 lessons
Integer Multiplication, Division, and Order of Operations
Multiply and divide integers fluently using patterns, models, and sign rules, and evaluate multi-step numerical expressions.
7
7 lessons
Rational Numbers: Structure, Comparison, and Absolute Value
Define rational numbers as quotients of integers, plot mixed numbers and finite decimals on number lines, compare, and order them.
8
7 lessons
Multi-Digit Decimal Operations and Powers of Ten
Add, subtract, multiply, and divide multi-digit decimals fluently, calculate with powers of 10, and estimate to verify reasonableness.
9
5 lessons
Fraction and Mixed Number Addition and Subtraction
Add and subtract proper fractions, improper fractions, and mixed numbers fluently with like and unlike denominators, including signed fractions.
10
8 lessons
Fraction Multiplication, Scaling, and Division
Multiply and divide fractions and mixed numbers, understand scaling effects, and apply reciprocal division algorithms.
11
7 lessons
Exponents, Powers of Ten, and Exponent Laws
Evaluate integer and whole-number powers, simplify expressions using exponent product and quotient laws, and evaluate zero/negative exponents.
12
5 lessons
Squares, Cubes, and Root Operations
Calculate square and cube roots of perfect powers, evaluate roots of negative integers and fractions, and solve geometric problems.
13
5 lessons
Scientific Notation and Orders of Magnitude
Read, write, and compare very large and very small quantities in standard and scientific notation (a · 10^k).
14
4 lessons
Integrated Rational Number Problem Solving
Synthesize multi-step arithmetic across fractions, decimals, integers, and powers to solve complex real-world modeling problems.