Linear Graphs

The cards in the decks are organized into deck levels so that only one change happens at a time. Students can focus on the control implications of the equation features to the graph. Several examples appear below that represent the instructional value of the cards in the decks.

		y = 1/5x + 3 y = 1/5x - 2 and … parallel line pairs
m=-2 and m=1/2 The decks provide many examples to show perpendicular lines			Click the icon to view examples of pages in the Teacher Manual

Here is a selection of slopes from the deck c graphs.

-1/2  .....  -3  .....  -4  ....  4  ....  1/3

All decks are sorted by levels of difficulty and contain point pairs, graphs, and equations, y-intercept and slope cards. The supplement deck contains the standard form of the equations in decks a, b, c, and d.

Quadratic Equations

The cards in the decks are organized into deck levels so that the number definition of the factors controls the deck content. Starting with Deck a, students can make connections between the equation features and the other cards without being distracted by the numbers on the roots. Several examples appear below that represent the instructional value of the cards in the decks.

The decks provide several graph examples to show parabolas that are not functions as well as examples of parabolas with complex roots.			Click the icon to view examples of pages in the Teacher Manual.

All decks levels are distinguished by roots values. Each deck contains point pairs, graphs, and equations, factors and roots cards.

Quadratic Supplement decks
The decks have card examples that show how slide translations look		…and flip reflections, too.

The cards in the decks are organized by conic type. Teachers are encouraged to mix the decks at will so that students can distinguish between the equation features and the graphs. Several examples appear below that represent the instructional value of the cards in the decks.

Each deck focuses on one of the conic sections: Parabola, Circle, Ellipse, and Hyperbola

Students can compare graphs and equations to recognize conic equation and graph relationships.
	Click the icon to view examples of pages in the Teacher Manual.

Each conic section deck contains point pairs, graphs, and equations, eccentricity and foci cards. The supplement deck contains the standard form of the equations in decks a, b, c, and d.

Special card pairs allow students to recognize rotations…		.......and translations.

Each trig deck contains point pairs, graphs, and equations, period and amplitude (or asymptote as appropriate). The card decks are sorted by equation type.

Examples of the same “slope” coefficient is used in the Topic Sets to show the effect on the graphs
	Click the icon to view examples of pages in the Teacher Manual.