Mathematics: Adaptive RIT Skills and Reasoning
MAP Growth Mathematics measures mathematics achievement on an adaptive, RIT-scaled test. Because each item is chosen from the student's prior performance, the test narrows in on the level where the student succeeds about half the time; the RIT score is an estimate on a continuous vertical scale, not a percentage or grade equivalent. Items cover number sense and operations, algebraic reasoning, geometry and measurement, data and statistics, and proportional relationships.
Core rules and concepts
- Equivalence: operations must preserve equality. Adding, subtracting, multiplying, or dividing both sides by the same nonzero value keeps an equation true.
- Order of operations: parentheses, exponents, multiplication/division left to right, then addition/subtraction left to right.
- Proportional reasoning: a proportional relationship has a constant ratio; its graph is a straight line through the origin.
- Geometry: perimeter is a linear distance; area is measured in square units; volume in cubic units.
- Data: read the scale, labels, and units before comparing values; describe shape, center, and spread.
Worked example
Solve 3(x − 4) + 5 = 2x + 7. Distribute: 3x − 12 + 5 = 2x + 7, so 3x − 7 = 2x + 7. Subtract 2x from both sides: x − 7 = 7. Add 7: x = 14. Check: 3(14 − 4) + 5 = 3(10) + 5 = 35; 2(14) + 7 = 35. Both sides match.
Traps that cost marks
- Distributing only to the first term inside parentheses.
- Mixing area and perimeter, or forgetting to square linear units.
- Ignoring negative signs when subtracting expressions.
- Reading a graph's height without checking the axis scale or starting value.
- Treating a near-proportional table as proportional when the ratio is not constant.