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# Foundations

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Intro to negative numbersNumber oppositesNumber oppositesAdding numbers with different signsAdding & subtracting negative numbersSubtracting a negative = adding a positiveMultiplying positive & negative numbersWhy a negative times a negative is a positiveWhy a negative times a negative makes senseDividing positive and negative numbers

Practice

Negative numbers on the number lineGet 5 of 7 questions to level up!

Adding negative numbersGet 5 of 7 questions to level up!

Subtracting negative numbersGet 5 of 7 questions to level up!

Multiplying negative numbersGet 3 of 4 questions to level up!

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Absolute value examplesIntro to absolute valueAbsolute value and number linesInterpreting absolute value

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Finding absolute valuesGet 5 of 7 questions to level up!

Interpreting absolute valueGet 3 of 4 questions to level up!

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Intro to exponentsExponent example 1Exponent example 2Squaring numbersIntro to exponentsThe 0 & 1st powerPowers of zero1 and -1 to different powersComparing exponent expressionsExponents of decimalsEvaluating exponent expressions with variablesExponents review

Practice

Exponents (basic)Get 5 of 7 questions to level up!

ExponentsGet 5 of 7 questions to level up!

Variable expressions with exponentsGet 3 of 4 questions to level up!

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Intro to square rootsSquare roots of perfect squaresSimplifying square rootsSimplifying square roots of fractionsSimplifying square-root expressions: no variables

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Square rootsGet 5 of 7 questions to level up!

Simplify square rootsGet 3 of 4 questions to level up!

Simplify square roots (variables)Get 3 of 4 questions to level up!

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Intro to order of operationsOrder of operations examples: exponentsWorked example: Order of operations (PEMDAS)Order of operations example

Practice

Order of operationsGet 5 of 7 questions to level up!

Order of operations with negative numbersGet 5 of 7 questions to level up!

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Adding fractions word problem: paintAdding fractions with different signsMultiplying positive and negative fractionsDividing negative fractions

Practice

Adding & subtracting negative fractionsGet 5 of 7 questions to level up!

Multiplying positive and negative fractionsGet 3 of 4 questions to level up!

Dividing positive and negative fractionsGet 3 of 4 questions to level up!

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Worked example: Converting a fraction (7/8) to a decimal Fraction to decimal with roundingRewriting decimals as fractions: 0.36Converting decimals to fractions 2 (ex 1)Finding a percentPercent of a whole numberPercent word problem: guavasPercent word problem: recycling cans

Practice

Intro to percentsGet 5 of 7 questions to level up!

Percents from fraction modelsGet 3 of 4 questions to level up!

Relate fractions, decimals, and percentsGet 3 of 4 questions to level up!

Converting fractions to decimalsGet 3 of 4 questions to level up!

Write decimals as fractionsGet 5 of 7 questions to level up!

Finding percentsGet 5 of 7 questions to level up!

Percent word problemsGet 5 of 7 questions to level up!

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Adding decimals: 9.087+15.31Adding decimals: 0.822+5.65Subtracting decimals: 9.57-8.09Subtracting decimals: 39.1 - 0.794Multiplying decimals exampleMultiplying challenging decimalsDividing decimals with hundredthsDividing by a multi-digit decimal

Practice

Adding decimals: thousandthsGet 5 of 7 questions to level up!

Subtracting decimals: thousandthsGet 5 of 7 questions to level up!

Multiplying decimals like 2.45x3.6 (standard algorithm)Get 5 of 7 questions to level up!

Dividing decimals: hundredthsGet 3 of 4 questions to level up!

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Area of a triangleArea of triangles

Practice

Area of trianglesGet 5 of 7 questions to level up!

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Radius, diameter, circumference & πLabeling parts of a circleRadius, diameter, & circumferenceArea of a circle

Practice

Radius and diameterGet 5 of 7 questions to level up!

Area of a circleGet 5 of 7 questions to level up!