U2D1 One Grain of Rice Jan23

Instructions

In the book One Grain of Rice by Demi, the main character Rani cleverly tricks the raja into giving rice to the village.

1

Estimate how many grains of rice you think Rani will have at the end of 30 days.

1

Use the chart below to record the number of grains of rice Rani would receive each day.

If the story continued and you know how many grains of rice Rani receives on Day 30 then answer the following:

1

How can you determine how many grains of rice she would receive on Day 31?
Multiply  _______  by _______ .

1

How can you determine how many grains of rice she would receive on Day 35?

1

How can you determine how many grains of rice she would receive on Day 40?

1

If you know how many grains of rice she receives on a certain day, how can you determine how many grains of rice she will receive 2 days later?

1

Write a sentence that describes how many grains of rice Rani receives each day.

1

What number is being used to advance the pattern? Is this a common difference or a common ratio?

1

Use the words NOW and NEXT to write a rule to express the pattern. The NOW-NEXT form is the recursive process of getting from one number to the next number in the sequence.

1

Use the pattern you discovered to write an explicit equation for the rice acquired each day. For your equation let x = number of days and y = number of grains rice received.
y =_______ 

1

Write a sentence that describes the total number of grains of rice Rani will receive through a certain number of days.

1

Test each of your equations to see if they generate the values in the table. Were your algebraic equations correct? If not, modify your equations and test them until you are certain they are correct. Record the changes you make so that you can explain to others how you arrived at your final equations.

1

Graph the first ten days of the rice reward on the graph. Be sure to label your axes and title your graph.

1

Estimate how many grains of rice you think Rani will have at the end of 30 days.

Use the chart below to record the number of grains of rice Rani would receive each day.

How can you determine how many grains of rice she would receive on Day 35?

How can you determine how many grains of rice she would receive on Day 40?

If you know how many grains of rice she receives on a certain day, how can you determine how many grains of rice she will receive 2 days later?

Write a sentence that describes how many grains of rice Rani receives each day.

What number is being used to advance the pattern? Is this a common difference or a common ratio?

Use the words NOW and NEXT to write a rule to express the pattern. The NOW-NEXT form is the recursive process of getting from one number to the next number in the sequence.

Write a sentence that describes the total number of grains of rice Rani will receive through a certain number of days.

Graph the first ten days of the rice reward on the graph. Be sure to label your axes and title your graph.

Is this a graph of a linear function or an exponential function?