Comparison StudioFORESTHILL

TODAY'S PAPER EXAMPLE

Four functions.
Four ways to show them.

Find the same two properties in each: slope and y-intercept.

Function 1 · Graph

Use the guided graph to read the intercept and slope.

Function 2 · Table

xy
−1−3
0−4
1−5

Function 3 · Equation

y = 2x + 3

Function 4 · Words

The slope is 1.
The y-intercept is −1.

Four different functions. Keep each function's number with its information.

Your comparison table

Same rows as your paper.

PropertyF1F2F3F4
Slope mGreatest / least slope
Up/down units for 1 unit rightSteepest / least steep
y-intercept bGreater / less intercept
y-intercept distance from 0Closest / farthest from 0

Read the source. Record the evidence.

ON YOUR PAPER

Keep your organizer nearby. Write before entering an ALEKS answer.

Function 1 · Graph

1 square = 1 unit. Read the two marked points.

Ready to teach in one minute

  1. Use Next. Each click reveals one thinking step. Nothing advances automatically.
  2. Pause at each question. Ask students to point, predict, and write before revealing.
  3. Watch the comparison row. Use the named row. Greatest slope: compare the numbers with their signs. Steepest: move 1 right and compare the up/down units.
  4. Try ALEKS. Use the supplied examples for a fresh paper attempt. “Enlarge” focuses one representation.

Greatest slope: compare signed numbers.
Steepest: move 1 unit right. Which line goes up or down the most?

Back returns one step. Replay repeats the current animation. Arrow keys also move through the lesson. Full screen keeps the presentation clear.

Use the stage buttons to rehearse a section. The guided example matches the final student companion. Start writing on the front at Step 2. The back has two ALEKS problem organizers. The three ALEKS examples match the supplied captures; students’ live numbers may differ.

Open the student companion PDF
Print this two-page PDF: landscape, double-sided, flip on short edge, actual size (100%). One sheet per student. Use this instead of the earlier sheet or mockup.