Public learning track
Approximating Irrationals and the Real Number Continuum
7th Grade · Math · Open Global Math
6 lessons
Goal
Estimate the value of irrational square roots using rational bounds, place irrationals on number lines, and solve geometric radical problems.
Featured Diagrams
Bounding Square Roots Between Consecutive Integers
6 lessons
0 of 6 done
- 1Bounding Square Roots Between Consecutive IntegersUp nextStart
- 2Approximating Irrational Numbers with Rational BoundsPremiumNot started yet
- 3Approximating Cube Roots of Non-Perfect CubesNot started yet
- 4Plotting and Ordering Real Numbers on a Continuous Number LineNot started yet
- 5Comparing Irrational Expressions Without CalculatorsNot started yet
- 6Real-World Problems with Square and Cube RootsNot 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.