Pathway A

Current School Mastery™

Master the mathematics being taught at school through deeper conceptual understanding, multiple representations, reasoning, verification, and targeted practice.

Open Current School Work™ dashboard Course Material Intake

Concept First

Before practicing procedures, we build the concept. Why does this work? What structure does it expose?

Multiple Representations

Every idea is shown symbolically, numerically, graphically, and in words — because understanding one representation is not mastery.

Verify, Don't Assume

A correct answer without verification is a guess. We check through substitution, estimation, and alternate methods.

Worked example — solving a linear equation

A demonstration of the GUS framework, multiple representations, and the full thinking ladder applied to one problem.

Given

•3x + 2
•The equation 3x + 2 = 17

Unknown

•The value of x

Strategy

Isolate x using inverse operations: subtract 2, then divide by 3. Verify by substituting back.

Multiple representations

3x + 2 = 17 ⟹ 3x = 15 ⟹ x = 5

Step-by-step reasoning

1 / 3

1
Subtract 2 from both sides
3x + 2 − 2 = 17 − 2 ⟹ 3x = 15
Why: Inverse of +2 is −2; keeps balance.

Hint ladder

0 hints used

Try independently first. Climb only as far as you need.

Verify your answer

0/3 checks

Proposed answer: x = 5

Error detective

A student wrote 3x + 2 = 17 ⟹ 3x = 19 ⟹ x = 19/3. What went wrong?

Where this leads next

Linear equations in one variable→Systems of linear equations

Once one equation is mastered, two unknowns need two equations — enter systems and substitution/elimination.