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Pre-algebra lessons built from your own units

Pre-algebra is where whole-number habits start to fail. Most wrong answers here are a correct whole-number rule applied where it no longer holds.

For the overall math picture, including the extraction caveat, read the math teachers page. This page is about the middle-school course that sits between arithmetic and algebra, where the skills are tightly stacked and a gap from sixth grade quietly surfaces in eighth.

The wrong rules students are following

Wrong options that are wrong ideas

ClassSense practice items are multiple choice, and each wrong option is tied to a named misconception. A sketch (an illustration of the form, not a transcript of output):

A recipe uses 2 cups of juice for every 3 cups of water. If you use 6 cups of juice, how many cups of water do you need? (a) 7 (b) 9 (c) 4 (d) 12

Option (a) is additive thinking: 6 is 4 more than 2, so add 4 to 3. Option (d) doubles instead of tripling. The feedback for (a) should name the additive idea and show the scaling instead.

What uploads well

Unit notes in words, word problems, vocabulary (numerator, rate, ratio, integer, absolute value), strategy lists such as "three ways to compare fractions", and worked examples typed as text. Number-line reasoning described verbally works, and a lot of the middle-school misconception work is in the language: what a unit rate means, why a negative is further left.

What does not. Fraction bars and area models drawn as pictures, number lines, tape diagrams, ratio tables pasted as images, graphs of proportional relationships, and equations typeset as pictures do not extract. These are exactly the representations middle-school teaching leans on, so a lot of the visual reasoning will have to come from you in class. A table typed as text arrives as text, but test one unit before you commit a term.

A way to run it

1

Upload one unit

Fractions, ratios and proportions, or integers each have well-known errors and rich text.

2

Run practice for a week

Short sets fit the first ten minutes of class. Students who miss the same idea twice stand out in the grid.

3

Reteach from the data

If a third of the class chose the add-the-denominators option, a ten minute reteach with fraction strips is a better use of Monday than moving on.

The stacking problem

Because skills depend on each other, a unit that looked fine on the test can hide a missing prerequisite. Mastered skills come back later for a quick check, which is the mechanism for catching a skill that has quietly gone soft. The page on mastery tracking explains how the states work, and students who fall behind covers what to do next.

Limits

Students pick answers. They do not show working in the app, and no partial credit is given. Generated numerical items should be checked before release, as the routine in checking AI lessons for errors describes. The next course on is algebra.

Common questions

Does it handle fractions written as pictures?

No. Fraction models, number lines and tape diagrams that are images do not extract. Fractions written as text such as 3/4 come through.

Will it generate extra practice for students who struggle?

Practice can be regenerated at the difficulty you choose, and the grid shows which skill each student is stuck on.

Can students show their steps?

Not in the app. Practice is multiple choice. Work shown on paper is yours to mark.

Is it for a specific grade?

It follows the document and the grade level you set when you create the course.

Start with one unit you already teach.

Upload it, see what comes back, and decide for yourself. Your first 30 days are free, then nineteen dollars a month with unlimited students.

Create your account

No card needed to start. Read, edit or remove anything it makes.