Marius invests $10,000 in stocks and bonds, paying 3% and 5% annual interest, respectively. if the total interest Marius earned for the year is $430, how much was invested in stocks and how much was invested in bonds?

during a construction project, engineers used explosives to excavate 140 feet of tunnel into a mountain. but because of time constraints and environmental concerns, they brought in a tunnel boring machine (tbm) to excavate the rest of the tunnel. the data table lists some observations an engineer made about the length of the tunnel after the tbm was introduced.

which equation represents the length of the completed tunnel based on the number of days since tbm was introduced?

the answer is y = 45x + 140

• before the lesson, students attempt the assessment task individually. you then review students’

solutions and formulate questions that will them improve their work.

• during the lesson, students work collaboratively in pairs or threes, plotting graphs, completing

tables of values and deducing equations. then, based on the number of common solutions,

students link these representations.

• in a follow-up lesson, students receive your comments on the assessment task and use these to

attempt the similar task, approaching it with insights gained from the lesson.