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Open Middle®
Generated by All in One SEO v5.0.2, this is an llms.txt file, used by LLMs to index the site.
Their llms.txt
The beginning of the file, from our validated copy saved 2026-10-21T21:38:06.595Z. Cached copy · Source on openmiddle.com
# Open Middle®
> Generated by All in One SEO v5.0.2, this is an llms.txt file, used by LLMs to index the site.
## Sitemaps
- [XML Sitemap](https://www.openmiddle.com/sitemap.xml): Contains all public & indexable URLs for this website.
## Posts
- [Markup & Discount 2](https://www.openmiddle.com/markup-discount-2/): Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to create the least expensive item after discount. Source: Robert Kaplinsky
- [Mixed Number and Fraction Greater Than One](https://www.openmiddle.com/mixed-number-and-fraction-greater-than-one/): Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to make the equality true. Source: Graeme Lachance
- [A New Way to Use Open Middle: Interactive Problems](https://www.openmiddle.com/a-new-way-to-use-open-middle-interactive-problems/): Learn how interactive Open Middle problems let students drag, try, and revise ideas directly on screen.
- [Systems of Equations 2](https://www.openmiddle.com/systems-of-equations-2/): Directions: Using the integers -9 to 9 at most one time each, place an integer in each box to create a system of equations with a solution in that’s as close to the origin as possible. Source: Robert Kaplinsky
- [Write a Linear Function](https://www.openmiddle.com/write-a-linear-function/): Directions: Using the digits 1 to 8 [You will use each number only once, except for one number that will be used twice in the same coordinate point. i.e.(1,1), (2,2), (3,3), (4,4), (5,5), (6,6), (7,7) or (8,8)], find three coordinate points that lie on the same line. Write the equation of the line represented by
- [Using 1/2 as a Benchmark](https://www.openmiddle.com/using-1-2-as-a-benchmark/): Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make true statements. For the fraction less than 1/2, try to make the greatest number possible. For the fraction greater than 1/2, try to make the least number possible. Source: Alyson Eaglen
- [Two-Step Equations 3](https://www.openmiddle.com/two-step-equations-3/): Challenge students to use the digits 1-9 to find the values of x and y in this DOK 3 problem. Great for 7th and 8th grade students practicing expressions & equations.
- [Trinomial Function Features 2](https://www.openmiddle.com/trinomial-function-features-2/): Directions: Using the integers -9 to 9, at most one time each, place an integer in each box to create a function with the corresponding range and roots that are as close together as possible. The closest the two roots can be to each other that has been found so far is 2 from the
- [The Triangle Inequality](https://www.openmiddle.com/the-triangle-inequality/): Directions: Using the integers 1 to 10, at most one time each (though 7 and 9 can still be used), place an integer in each box to complete the scenarios below: Source: Shaun Errichiello
- [The Largest Fraction That Is Less Than One Half](https://www.openmiddle.com/the-la
…
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