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Fractions, Multiples, Divisibility, and Remainders

Divisibility I – The most important concept

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Divisibility I – Inspiration question + more challenges

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Greatest Common Factor and Lowest Common Multiple

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Remainders 1 Quiz

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Lesson Content

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Consecutive Integers

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Terminating Decimals

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Exponents

Don’t memorize the rules – prove them

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Challenge questions

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Decimals and place value

Decimals and Place Value

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Course Content

Algebraic expressions

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Linear equations and systems of equations

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Graphing 4 Topics

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Quadrants and Points

Lines – equation, slope and the intercept

Hidden intercept

Comparing slopes

Second Degree Equations 2 Topics

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Roots of a quadratic equation

Factoring quadratic equations – a few examples

Absolute value and Inequalities 4 Topics

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Absolute value as distance – reference is zero

Absolute value as distance – reference not zero

Inspiration question

Functions 3 Topics

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A convenient notation

Domain and Range

Course Content

Ratio, Proportion, and Percents

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Ratio and Proportion – Intro

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Ratio and Proportion – the multiplier and triple ratios

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Percent sign: of 100

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Percents: the reference amount

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Percents: the multiplier

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Percents: nested

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Percents: algebraic expressions + Inspiration question

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Profit, Loss, and Interest

Profit and Loss

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Conversions and Mixtures

Converting Decimals, Fractions and Percents

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Mixture Problems 1 Quiz

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Lesson Content

Mixtures Lesson

Measurement Conversion 1 Quiz

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Lesson Content

Unit Conversion 1

Rates

What is a rate 3 Topics

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Introduction to rates

Cost = cost/unit · number of units

Mass = Density·Volume

Work, Rate, and Time 3 Topics

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Work = Rate·Time

When the work is 1

Inspiration question

Distance, Speed, and Time 2 Topics

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Distance = Speed·Time

Course Content

Statistics

The Mean or Average

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Median, Mode, and Range

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Standard Deviation I

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Standard Deviation II

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Mean and Median of consecutive integers

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Statistics – Inspiration question 1 Quiz

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Lesson Content

Sets

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Counting and Probability

Counting 4 Topics

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Counting – Nodes, Choices, and the multiplication principle

Probability 4 Topics | 1 Quiz

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Adding vs. Multiplying

Additivity principle

Conditional probability

Generalizations

Sequences and Series

Arithmetic Sequence

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Geometric Sequence

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Inspiration question

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