This page shows questions in the Math 6 Modeling public release module at MSDE. 6th Grade Math
"Math 6 Modeling"

A baker made $8$ pounds of cookie dough. The baker used the dough to make several batches of cookies. The graph shows the amount of cookie dough that is needed to make different numbers of batches of cookies.

Cookies

Use the information from the model to complete the statements.

Enter your answers in the spaces provided.

The number of batches of cookies the baker can make from each pound of cookie dough is .

The total number of batches of cookies the baker can make from the $8$ pounds of cookie dough made is .

A worker has $25$ feet of ribbon to make bows. Each bow uses $2$ feet of ribbon. The worker divides $25$ by $2$ and gets $12.5$ as an answer.

What does the worker’s answer mean in this context?

The diagram shows the net of a wooden chest in the shape of a rectangular prism. All dimensions are in feet.

A painter will apply stain to all the faces of the wooden chest. The calculations that the painter used to find the surface area, in square feet , of the wooden chest are shown. $$\begin{array}{c}2\frac{1}{2}\times 3\frac{1}{2}=(2\times 3)+(\frac{1}{2}\times \frac{1}{2})=6\frac{1}{4}\times 2=12\frac{1}{2}\end{array}$$ $$\begin{array}{c}2\frac{1}{2}\times 4\frac{1}{2}=(2\times 4)+(\frac{1}{2}\times \frac{1}{2})=8\frac{1}{4}\times 2=16\frac{1}{2}\end{array}$$ $$\begin{array}{c}3\frac{1}{2}\times 4\frac{1}{2}=(3\times 4)+(\frac{1}{2}\times \frac{1}{2})=12\frac{1}{4}\times 2=24\frac{1}{2}\end{array}$$

The total surface area is $12\frac{1}{2}+16\frac{1}{2}+24\frac{1}{2}=53\frac{1}{2}$ square feet.

• What mistake was made in the calculation of the surface area of the wooden chest?

• Find the correct surface area of the wooden chest.

Enter your answers and your work or explanation in the space provided. You may also use the drawing tool to help explain or support your answer.

Drawing Box

Students in a science class measured rain by writing down the depth of water in a bucket that collected the rain. The bucket was empty before the rain began to fall at a steady rate over a 6-hour period during school. After 3 hours, the water had a depth of 18 millimeters.

At what average unit rate, in millimeters per hour, did the bucket fill after rain started to fall at a steady rate?

Enter only your answer in the space provided.

Many frames are being made to hold a number of paintings that all have a width of $18$ inches. The wood being used to make the frames is $2$ inches wide.

• If the height of one of the paintings was $24$ inches, what is the total length, in inches, of $2$ -inch wood that would be needed to make the frame? Show your work and your calculations.

• What is the number of square inches of wood that a frame would have if the painting had a height of $36$ inches?

Enter your answer and your work in the space provided. You may also use the drawing tool to help explain or support your answer.

Drawing Box

A machine at a company makes toy cars at a constant rate. The company received an order for toy cars that exceeded the number of toy cars that the company had in stock.

Which three pieces of information are needed to determine the amount of time it will take the machine to make enough additional toy cars to fill the order?

Select the three pieces of information that are needed.