F-BF.1a: Determine an explicit expression, a recursive process, or...

Determine an explicit expression, a recursive process, or steps for calculation from a context.



In Prague some sidewalks are made of small square blocks of stone.
The blocks are in different shades to make patterns that are in various sizes.

(a) How many blocks of each kind will pattern #n need?
(b) Which pattern has a total of 841 gray blocks?
(c) How many white blocks has that pattern?
Explain your work and show your calculations.
In Prague some sidewalks are made of small square blocks of stone.
The blocks are in different shades to make patterns that are in various sizes.

(a) How many blocks of each kind will pattern #n need?
(b) Which pattern has a total of 841 gray blocks?
(c) How many white blocks has that pattern?
Explain your work and show your calculations.


Maria makes square tables, then sticks tiles to the top.

She uses three types of tiles:

The sizes of the square tabletops are all multiples of 10 cm.
Maria only uses quarter tiles in the corners and half tiles along the edges of the table
Here is one tabletop:

This square table uses:
5 whole tiles, 4 half tiles, 4 quarter tiles.
(a) How many tiles of each type will she need for a 40 cm by 40 cm square?
(b) Describe a method for quickly calculating how many tiles of each type she needs for larger, square tabletops.
Maria makes square tables, then sticks tiles to the top.

She uses three types of tiles:

The sizes of the square tabletops are all multiples of 10 cm.
Maria only uses quarter tiles in the corners and half tiles along the edges of the table
Here is one tabletop:

This square table uses:
5 whole tiles, 4 half tiles, 4 quarter tiles.
(a) How many tiles of each type will she need for a 40 cm by 40 cm square?
(b) Describe a method for quickly calculating how many tiles of each type she needs for larger, square tabletops.
Write a quadratic function from context



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