# The Mathematics Common Core Toolbox – PRACTICE TEST ITEMS HIGH SCHOOL

• Cellular Growth

The CCSSM requires that students write geometric sequences both recursively and with an explicit formula and use the two representations to model situations. In this task, students consider the use of one or more representations to solve a real-world problem and choose the type of sequence to represent a situation.

Students are expected to make sense of the contextual situation, extract and use mathematics to model the situation and answer mathematical questions, and then return to solve the problem within the context.

Golf Balls in Water

This three-part task requires students to use mathematical modeling. They make sense of the contextual situation, extract and use mathematics to model the situation and answer mathematical questions, and then return to solve the problem within the context.

Isabella’s Credit Card

The CCSSM calls for students to interpret key features of a quantitative relationship from tables with respect to a context as well as to determine a recursive process or describe steps for calculation from a context.

The page that students see resembles a spreadsheet, but it does not function as a spreadsheet.

Rabbit Population

In this task, students analyze the situation (rabbit population growth) and create a mathematical model that represents it. Students are then presented with a second rabbit population that is slightly different and asked to compare the models for the two populations. This requires students to identify which function parameters and key features of the graph will change based on the adjustment in context. Students then use the two models together to answer mathematical questions.

This task asks students to challenge their traditional way of thinking about exponential models, including starting with the end result and going backward to consider a model that could generate this result.