MATH 60

You have spent three years building fraction skill, and this year it pays off: fractions grow up into a bigger idea called a **ratio**. Before that happens, we sharpen the two fraction moves people fumble most — adding with unlike denominators and dividing by a fraction — and make sure you know WHY each one works, not just the steps. Then you will see that a ratio is what you get when fraction thinking learns to compare anything to anything.

Fill in the blankMultiple choice (misconception distractors)Problem solvingTransfer problemFind the flaw

A rate is a ratio between two DIFFERENT kinds of units — miles and hours, dollars and ounces, pages and minutes. Rates are how math describes speed, price, and pace: almost every number you will ever see in a store or on a road sign is secretly a rate. The key skill of this unit is turning any rate into a **unit rate** — a rate with 1 on the bottom — because unit rates make everything comparable.

Multiple choiceFill in the blankMultiple choice (misconception distractors)Problem solvingTransfer problem

"Percent" is Latin for **per hundred** — and that is the entire definition. A percent is a ratio whose second number is always 100. Because everyone agrees on that 100, percents let the whole world compare things fairly: a 45% free-throw shooter, a 20% discount, a phone at 80% battery. This unit teaches you to move between percents, fractions, and decimals, and to find a percent OF something — all with the ratio thinking you already own.

Multiple choiceFill in the blankMultiple choice (misconception distractors)Problem solvingTransfer problem

Until now, your number line started at 0 and marched right. But the world keeps counting below zero: temperatures drop past freezing, submarines dive below sea level, bank accounts go into debt. Negative numbers extend the number line to the LEFT of zero, and once you can read that side of the line, a whole family of real situations becomes math you can do.

MatchingMultiple choiceFill in the blankMultiple choice (misconception distractors)Short answer

This is the year math starts using letters — and it is less mysterious than it looks. A letter is just a box holding a number you don't know yet, or a number that keeps changing. Learn to write with letters and you can say something true about EVERY number at once. Then equations arrive: math sentences that claim two things are equal, and the beautiful balance rule that lets you find the hidden number.

MatchingMultiple choiceFill in the blankShort answer

Statistics is the math of questions with MANY answers. "How tall are the students in Grade 6?" has thirty different answers in one classroom — and statistics is how we summarize all of them honestly with a few numbers. This unit teaches you the two most famous summaries, the mean and the median, and — more importantly — when each one tells the truth and when it misleads.

Multiple choiceFill in the blankMultiple choice (misconception distractors)Short answerProblem solving