Public learning track
Applied Problem Solving with Rational and Real Numbers
7th Grade · Math · Open Global Math
5 lessons
Goal
Solve complex, multi-step real-world problems combining fractions, decimals, signed numbers, exponents, and estimation.
Featured Diagrams
Multi-Step Problems with Rational Numbers
5 lessons
0 of 5 done
- 1Multi-Step Problems with Rational NumbersUp nextStart
- 2Mixed Operations with Rational Numbers: Real-World ProblemsPremiumNot started yet
- 3Multi-Step Real-World Problems with Fractions, Decimals, and PercentsNot started yet
- 4Modelling Real-World Problems with Rational NumbersNot started yet
- 5Evaluating Precision and Error in Multi-Step MeasurementsNot started yet
Standards Covered
- OGM.8.NO.3Open Global Math Standards 2026™ · Math · Level 8 / Grade 7 (Age 12) · Grade 7Apply and extend the properties of addition and subtraction to rational numbers; interpret p - q as p + (-q), calculate the distance between rational numbers on a number line as |p - q|, and solve multi-step additive problems in real-world contexts.
- OGM.8.NO.4Open Global Math Standards 2026™ · Math · Level 8 / Grade 7 (Age 12) · Grade 7Apply and extend multiplication and division to rational numbers (fractions, terminating/repeating decimals, and signed numbers) using properties of operations; understand that -(p/q) = (-p)/q = p/(-q) for non-zero divisors, and convert fractions to decimals using long division.
- OGM.8.NO.6Open Global Math Standards 2026™ · Math · Level 8 / Grade 7 (Age 12) · Grade 7Perform numerical estimation, rounding to specified decimal places or significant figures, assess the reasonableness of calculation results, and use scientific notation to represent large and small quantities.
Curriculum Framework
7th Grade · Math · Open Global Math
1
9 lessons
Prime Factorization, Index Notation, and Expanded Powers of Ten
Decompose natural numbers into prime factors using exponent notation and express numbers in expanded decimal form with powers of 10.
2
8 lessons
The Structure of Integers, Rational Numbers, and Absolute Value
Model additive inverses, plot signed numbers on horizontal and vertical lines, and interpret absolute value as distance from zero.
3
8 lessons
Addition and Subtraction of Rational Numbers
Add and subtract signed fractions and decimals, interpret subtraction as adding the opposite, and calculate distance as |p - q|.
4
8 lessons
Multiplication and Division of Rational Numbers
Multiply and divide signed fractions and decimals, understand the placement of negative signs in quotients, and convert fractions using long division.
5
8 lessons
Real Numbers: Exponents, Squares, Cubes, and Roots
Evaluate square and cube roots of perfect and non-perfect values, distinguish rational from irrational numbers, and convert repeating decimals to fractions.
6
6 lessons
Approximating Irrationals and the Real Number Continuum
Estimate the value of irrational square roots using rational bounds, place irrationals on number lines, and solve geometric radical problems.
7
9 lessons
Estimation, Significant Figures, and Scientific Notation
Round numbers to specified decimal places or significant figures, check calculation reasonableness, and compute with scientific notation.
8
5 lessons
Applied Problem Solving with Rational and Real Numbers
Solve complex, multi-step real-world problems combining fractions, decimals, signed numbers, exponents, and estimation.