Public learning track
Prime Factorization, Index Notation, and Expanded Powers of Ten
7th Grade · Math · Open Global Math
9 lessons
Goal
Decompose natural numbers into prime factors using exponent notation and express numbers in expanded decimal form with powers of 10.
Featured Diagrams
Identifying Prime and Composite Numbers Beyond 100
9 lessons
0 of 9 done
- 1Identifying Prime and Composite Numbers Beyond 100Up nextStart
- 2Constructing Factor Trees and Continuous Division ModelsPremiumNot started yet
- 3Writing Prime Factorizations in Index NotationNot started yet
- 4Finding Greatest Common Factors Using Prime PowersNot started yet
- 5Finding Least Common Multiples Using Prime PowersNot started yet
- 6Understanding Powers of Ten and Place Value StructureNot started yet
- 7Representing Whole Numbers in Expanded Form with Powers of TenNot started yet
- 8Representing Decimals in Expanded Form with Negative Powers of TenNot started yet
- 9Solving Real-World Problems with Expanded NotationNot started yet
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.