Module 7: Introduction to irrational numbers using geometry

Topic A: Square and cube roots

Learn

Intro to square roots

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Square roots of perfect squares

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Intro to cube roots

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Worked example: Cube root of a negative number

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Square root of decimal

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Dimensions of a cube from its volume

Intro to rational & irrational numbers

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Classifying numbers: rational & irrational

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Classifying numbers

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Classifying numbers review

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Approximating square roots

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Approximating square roots walk through

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Approximating square roots to hundredths

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Practice

Square rootsGet 5 of 7 questions to level up!

Cube rootsGet 5 of 7 questions to level up!

Equations with square roots & cube rootsGet 3 of 4 questions to level up!

Roots of decimals & fractionsGet 3 of 4 questions to level up!

Equations with square roots: decimals & fractionsGet 3 of 4 questions to level up!

Square and cube challengeGet 3 of 4 questions to level up!

Classify numbers: rational & irrationalGet 5 of 7 questions to level up!

Classify numbersGet 5 of 7 questions to level up!

Approximating square rootsGet 3 of 4 questions to level up!

Topic B: Decimal expansions of numbers

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Converting a fraction to a repeating decimal

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Converting repeating decimals to fractions (part 1 of 2)

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Converting repeating decimals to fractions (part 2 of 2)

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Comparing irrational numbers with radicals

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Comparing values with calculator

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Writing repeating decimals as fractions review

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Writing fractions as repeating decimals review

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Practice

Writing fractions as repeating decimalsGet 5 of 7 questions to level up!

Converting repeating decimals to fractionsGet 5 of 7 questions to level up!

Converting multi-digit repeating decimals to fractionsGet 3 of 4 questions to level up!

Comparing irrational numbersGet 5 of 7 questions to level up!

Comparing irrational numbers with a calculatorGet 5 of 7 questions to level up!

Topic C: The Pythagorean theorem

Learn

Finding distance with Pythagorean theorem

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Distance formula

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Use Pythagorean theorem to find area of an isosceles triangle

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Pythagorean theorem word problem: carpet

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Pythagorean theorem word problem: fishing boat

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Pythagorean theorem in 3D

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Practice

Distance between two pointsGet 5 of 7 questions to level up!

Use Pythagorean theorem to find perimeterGet 3 of 4 questions to level up!

Pythagorean theorem word problemsGet 3 of 4 questions to level up!

Pythagorean theorem in 3DGet 3 of 4 questions to level up!