| A.1 | Integer Exponents | Paper and pencil. |
| A.2 | Square & Cube Roots | Grid/graph paper; tiles or cubes; paper. |
| A.3 | Scientific Notation | Paper and pencil; examples of big/small real quantities. |
| A.4 | Operations in Sci. Notation | Paper and pencil. |
| A.5 | Multi-Step Equations | Algebra tiles or paper; the equation cards below (coach writes). |
| A.6 | Variables Both Sides | Paper and pencil. |
| A.7 | Understanding Slope | Graph paper; paper and pencil. |
| A.8 | Slope-Intercept Form | Graph paper; paper and pencil. |
| B.1 | Graphing Lines | Graph paper; paper and pencil. |
| C.1 | Rational & Irrational Numbers | Per student: a real number system diagram (nested circles: natural, whole, integers, rational, with irrational beside rational); calculator; whiteboard. Coach: number cards (3/4, -5, √2, 0.333..., π, √16, 0.121212..., 7.25); a long-division demonstration of 1/7. |
| C.2 | Approximating Irrational Numbers | Per student: a perfect squares chart (1 to 225); number lines from 0 to 15 with tenths; calculator for checking; whiteboard. Coach: irrational number cards (√2, √10, √50, π, √99); a floor number line. |
| A.9 | Proportional Relationships & Slope | Per student: coordinate grids; colored pencils; a representation organizer (table, graph, equation, words); whiteboard. Coach: comparison cards (two cars' gas mileage, two phone plans, two runners); a graph of a proportional relationship through the origin. |
| A.10 | Systems of Equations by Graphing | Per student: coordinate grids; rulers; colored pencils; whiteboard. Coach: graphing technology (optional); system cards with one, none, and infinitely many solutions; a story about two runners or two phone plans. |
| A.11 | Systems by Substitution | Per student: a substitution organizer (isolate, substitute, solve, back-substitute, check); whiteboard; coordinate grid for verification. Coach: system cards where graphing gives fractional solutions (to motivate algebra); a "swap" analogy prop. |
| A.12 | Systems Word Problems | Per student: a modeling organizer (define variables, equation 1, equation 2, solve, interpret, check); whiteboard. Coach: word problem cards (mixtures, tickets, coins, rates, comparing plans); a graph template for interpreting. |
| B.2 | Defining Functions | Per student: function/not-a-function sort cards (tables, mappings, graphs, ordered pairs); a ruler for the vertical line test; whiteboard. Coach: a "function machine" box or drawing; a vending machine story. |
| E.1 | Review & Reinforcement | Per student: a review menu (five stations); whiteboard; coordinate grid; number line. Coach: station cards; a "skill check" exit sheet; a choice board for extra practice. |
| B.3 | Comparing Functions | Per student: a comparison organizer (representation, rate of change, initial value); coordinate grid; whiteboard. Coach: paired function cards (an equation vs. a table, a graph vs. a description); a "face-off" scoreboard. |