Sonal and Anmol made a sequence of tile designs from square white tiles surrounding one square purple tile. The purple tiles come in many sizes. Three of the designs are shown below.

A) Copy and complete the table

B) Draw a graph using the first five pairs of numbers in your table.

C) Do the points lie on a line?

The points on the graph below represent the height and weight of the donkey, dog, crocodile, and ostrich shown in the drawing.

A) What are the two variables represented in the graph?

B) Which point represents each animals? Explain.

The two graphs below compare Car A and Car B. The left graph shows the relationship between age and value. The right graph shows the relationship between size and maximum speed.

Use the graphs to determine whether each statement is true or false, and explain your answer.

A) The older car is less valuable.

B) The faster car is larger.

C) The larger car is older.

D) The faster car is older.

E) The more valuable car is slower.

Sonal and Anmol then made another sequence of the designs. Three of the designs are shown below.

A) Complete the table

B) Draw a graph of rows and number of white tiles. Draw another graph of the number of rows and the number of purple tiles. Put the number of rows on the horizontal axis.

C) Which graph is linear?

Create a table like the one shown

If an estimate is the same as the actual measurement then the point (actual measurement, estimate) lies on the line, straight line p. For example, if an object measures 5 cm and you estimate it to 5 cm, then the graph of its point lies on line p in the figure below.

Using your completed table,

A. Plot the data from the table where the coordinates of the points are (measurement, estimate).

B. Identify the objects overestimated.

C. Identify the objects underestimated.

D. By looking at the graph, how can overestimates and underestimates be determined? How accurate is your estimation?