Architecture of Grace
Mathematics · The Interior · Grades 6–8

The Interior Mathematics

Activity 8 · Like and Unlike. Work it here, or print it and use a pencil — both count.

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There is no send button, no upload, no account, no sign-in. Your work is saved on this one computer so you can come back to it — and you can erase it whenever you want.

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This one is different from the Wednesday worksheets. Those are your own thinking and nobody reads them. This is math, and math is meant to be looked at together — your teacher may stand next to you and read this screen, and may write down how it went. Nothing travels on its own; a person has to be standing here.

Asking for a hint is not cheating. The hints are part of the lesson. Using them tells your teacher what to teach next, which is exactly what they are for.

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Mathematics · Activity 8

Like and Unlike

Two things break here and they break separately: the minus in front of a bracket reaches every term inside it, and only terms of the same kind ever join up. So the page makes you do them one at a time.

On this computer only

No score is kept. No points, no streak, no ranking — the only number anyone writes down is the one your teacher writes down, standing next to you.

Show me one first

This one is nobody's problem — it is only here to show the moves before you touch yours. Watching it costs nothing and is written down nowhere.

(4x + 1) + (2x + 3)
x's go with x's, plain numbers with plain numbers.
4x + 2x = 6x, and 1 + 3 = 4.
6x + 4.

Now problem 1 is yours. The hint button is there the whole time, and using it is part of the lesson.

  1. 14x + 3 − 2x + 7 =
  2. 25x − 2 + x − 6 =
  3. 3−3x + 8 + 5x − 2 =
  4. 4(2x + 5) + (3x − 2) =
  5. 5(x − 4) + (4x + 9) =
  6. 6(6x + 1) + (−2x + 3) =
  7. 7(4x + 6) − (x + 2) =
  8. 8(5x − 3) − (2x + 4) =
  9. 9(7x + 2) − (3x − 5) =
  10. 10(2x − 1) − (5x − 6) =
How confident are you with these?

There is no right answer here. It only tells your teacher where to start next time.

For the teacher — this device only

One probe row, built from what happened on this screen. Nothing is sent anywhere — copy it into the Goal Builder yourself, or print this page. Independent means walked with no hints; supported means walked after a hint. Both are real evidence and neither is a grade.

Date
—
Skill
Combine like terms; add and subtract linear expressions
Measure
Trials (x of y)
Independent
0 of 10
Supported
0 of 10
Hints used
0
Slips
—
Confidence
—

Three items combine like terms, three add two brackets, and FOUR subtract one bracket from another — weighted that way because the 19 November test is really about that minus. The row below counts like-term slips apart from combining slips: not knowing what pairs up is a different lesson from losing a sign while adding. Set 2 and Set 3 are the same skills with different numbers.

Saved on this computer