http://intermath.org/wp-content/uploads/2018/03/logo.jpg00Chandra Orrillhttp://intermath.org/wp-content/uploads/2018/03/logo.jpgChandra Orrill2018-10-26 10:49:432019-01-18 16:15:42Partial Sum of Consecutive Integers
http://intermath.org/wp-content/uploads/2018/03/logo.jpg00Chandra Orrillhttp://intermath.org/wp-content/uploads/2018/03/logo.jpgChandra Orrill2018-10-26 10:27:152019-01-18 16:15:43Raised to the 100th
http://intermath.org/wp-content/uploads/2018/03/logo.jpg00Chandra Orrillhttp://intermath.org/wp-content/uploads/2018/03/logo.jpgChandra Orrill2018-10-26 10:23:572019-01-18 16:15:43Choosing an Elevator
A square with sides of integral length (i.e., the side lengths are integers) could be made with 25 square units. Make a rectangle with sides of integral length and an area of 24 square units, but construct the rectangle so it comes as close as possible to being a square. What are the dimensions of […]
http://intermath.org/wp-content/uploads/2018/03/logo.jpg00Chandra Orrillhttp://intermath.org/wp-content/uploads/2018/03/logo.jpgChandra Orrill2018-10-26 08:21:222019-01-18 16:15:43Patterns in a Table
Partial Sum of Consecutive Integers
Can a partial sum of consecutive positive integers equal a number with identical digits?
Sum of Infinite Fractions
Determine the sum of an infinite geometric series that begins with the number one.
Tri-Square Trios
Explore whether the sum of two triangular numbers can equal a square number.
Gretel’s Goldfish
When will Hansel and Gretel have the same number of goldfish?
Summing Multiples
Find a pattern in the sum of multiples.
Raised to the 100th
Use patterns to determine the units digit for numbers raised to the 100th power.
Hypatia’s Triumph
Take on the Egyptian Hypatia’s challenge about sums of squares.
Choosing an Elevator
Based on certain criteria, determine which of two elevators reaches the lobby first.
Almost a Square
A square with sides of integral length (i.e., the side lengths are integers) could be made with 25 square units. Make a rectangle with sides of integral length and an area of 24 square units, but construct the rectangle so it comes as close as possible to being a square. What are the dimensions of […]
Arranging Toothpicks
What is the total number of toothpicks used to build a rectangular grid?
Half-Sums
Consider the infinite sums of some numbers.
Hot Air Balloon
Determine the height of a hot air balloon over time based on a recursive condition.
Pascal’s Patterns
Identify patterns in a triangular array of numbers.
Infinite Series
Determine the sum of various infinite series and investigate how to tell if a series will converge.
Gone Fishing
Determine the terms of an arithmetic sequence given its constant difference, number of terms, and sum.
Fibonacci Extended
Identify an explicit pattern between terms in a group of numbers that are generated recursively.
Multiplying Rabbits
Examine how the family tree of a rabbit forms the Fibonacci sequence and the golden ratio.
Nugget Numbers
Find combinations of McDonald’s Chicken McNugget orders that will and will not generate different natural numbers.
Fractions into Whole Numbers
Find three whole numbers that can be substituted into a fractional expression so that the expression evaluates to a whole number.
Patterns in a Table
Investigate numeric relationships in a two dimensional matrix generated by a polynomial function with two variables.
Consecutive Odds and Evens
Determine a rule that relates arithmetic operations on four consecutive odd and even numbers.