determine
确定;求出
Evidence to deliver
Give the requested value, expression, or conclusion and enough work to make the method traceable.
Common score loss
Writing a guess or calculator display with no mathematical connection.
AP methods and command terms
Treat every command term as a delivery contract: result, mathematical connection, context, and precision.
确定;求出
Give the requested value, expression, or conclusion and enough work to make the method traceable.
Writing a guess or calculator display with no mathematical connection.
论证;说明理由
State a conclusion and connect it to a property, computation, graph feature, or model assumption.
Repeating the conclusion, or writing “because the graph says so.”
结合情境解释
Translate a number or feature into the named variables, units, and situation.
Giving only a number, or omitting units and what changes.
估计
Give a reasonable approximate value and show the graph, table, or local calculation used.
Reporting excessive digits or presenting an approximation as exact.
构造
Create the requested equation, table, graph, or representation with essential labels and constraints.
Copying data without building the requested representation.
相对极大值
Identify both the input and output and compare the output with nearby values in the stated domain.
Giving only the maximum height, or confusing a local maximum with an absolute maximum.
平均变化率
Use output change divided by input change and attach contextual units when applicable.
Averaging two outputs, reversing the interval, or dropping units.
求解
Find every value satisfying the equation or inequality and enforce domain/interval restrictions.
Keeping extraneous roots, omitting periodic solutions, or stopping at an equation with the variable still isolated incorrectly.
描述
Name the mathematical feature and state how it behaves, including interval, direction, or limiting value when relevant.
Using vague words such as “goes up” without domain or rate information.