This learning progression is about polynomial division. The common core state standards for this learning progression:
Write expressions in equivalent forms to solve problems.
HSA.SSE.B.3
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
CCSS.MATH.CONTENT.HSA.SSE.B.3.A
Factor a quadratic expression to reveal the zeros of the function it defines.
CCSS.MATH.CONTENT.HSF.IF.C.7.C
Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
Formative Assessment
The formative assessment game used for part of this will be giving the students two cards, one of which is green and the other is red for them to choose whether they agree or not that a certain factor works for a polynomial. There will be examples up on the board and they will be given a factor. They must do the division then hold up the green card if it worked out nicely and the red if it doesn’t work.