1) Calculation: Create an asymmetrical map, pinched near the middle. Your map will be a compound shape, with two offset rectangular grids, a x b and m × n. Your map will have a shape similar to the general structure shown below. Draw your map on the grid provided. Here are some guidelines: • Define your two rectangular grids. The values of a, b, m, and n should all be between 5 and 10 (inclusive). a = b = m = n = • Define the location and size of three obstacles (represented by the coloured blocks). Each obstacle must be larger than 1×1. Start b n m End (a) Calculation: Using Pascal's counting technique, find the number of pathways from “Start” to “End”. (b) Reflection Question: How would your answer be affected if "backtracking" was allowed? Provide a brief rationale.
1) Calculation: Create an asymmetrical map, pinched near the middle. Your map will be a compound shape, with two offset rectangular grids, a x b and m × n. Your map will have a shape similar to the general structure shown below. Draw your map on the grid provided. Here are some guidelines: • Define your two rectangular grids. The values of a, b, m, and n should all be between 5 and 10 (inclusive). a = b = m = n = • Define the location and size of three obstacles (represented by the coloured blocks). Each obstacle must be larger than 1×1. Start b n m End (a) Calculation: Using Pascal's counting technique, find the number of pathways from “Start” to “End”. (b) Reflection Question: How would your answer be affected if "backtracking" was allowed? Provide a brief rationale.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.8: Number Lines
Problem 24WE
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Transcribed Image Text:1) Calculation: Create an asymmetrical map, pinched near the middle. Your map will be a compound shape,
with two offset rectangular grids, a x b and m × n. Your map will have a shape similar to the general structure
shown below. Draw your map on the grid provided. Here are some guidelines:
•
Define your two rectangular grids. The values of a, b, m, and n should all be between 5 and 10
(inclusive).
a =
b =
m =
n =
•
Define the location and size of three obstacles (represented by the coloured blocks). Each obstacle must
be larger than 1×1.
Start
b
n
m
End
(a) Calculation: Using Pascal's counting technique, find the number of pathways from “Start” to “End”.
(b) Reflection Question: How would your answer be affected if "backtracking" was allowed? Provide a
brief rationale.
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