# Mathematical Practice: MP5 - Use appropriate tools strategically.

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Mathematical Practices
Mathematical Practices
• MP1 - Make sense of problems and persevere in solving them. (24)
• MP2 - Reason abstractly and quantitatively. (22)
• MP3 - Construct viable arguments and critique others' reasoning. (23)
• MP4 - Model with mathematics. (21)
• MP5 - Use appropriate tools strategically. (11)
• MP6 - Attend to precision. (15)
• MP7 - Look for and make use of structure. (27)
• MP8 - Look for and express regularity in repeated reasoning. (18)

### Fold & Cut

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What shapes can result from the following fold-and-cut process?
Take a piece of paper.
Fold it flat.
Make one complete straight cut.
Unfold the pieces.
Are all shapes possible?

### Making Connections Between Forms of Quadratic Equations

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Developed as part of the Math Circles of Inquiry project, the goal of this module is to help students in Algebra II become fluent in the various forms of a parabola equation based on the information that they are given. Students sometimes fail to understand that there are multiple ways...

### Percents

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Developed as part of the Math Circles of Inquiry project, this module has students grapple with different representations of percents in various contexts in order to solve real life problems. Students need fluency in percentages for real world applications such as shopping, eating at restaurants, commission based careers, etc. Understanding...

### Rational Numbers

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Developed as part of the Math Circles of Inquiry project, this module is an introductory activity for rational numbers, likely aligned with Grade 7. Students will be given five points on a number line and will be asked to estimate the values of each in a 3-part task and explain...

### Trigonometric Ratios in Right Triangles

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Developed as part of the Math Circles of Inquiry project, this five to six day activity is designed to help students understand trigonometric ratios, by building on their understanding of similar triangles and ratios of corresponding sides. The purpose of this module is for students to spend time and energy...

### System of Inequalities: Math Dance

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You want this year’s dance to be LIT! The dance committee has a goal of fundraising \$3,500 through ticket sales. How many tickets do they need to sell? Developed as part of the Math Circles of Inquiry project, this module presents an engaging problem which will allow students to investigate...

### Magic, Latin, & Sudoku Squares

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Squares and numbers, numbers and squares. There is something very satisfying about arranging numbers in a square formation, following specific rules, whether it is a Magic Square, Latin Square or Sudoku. This is probably why Sudoku puzzles are so popular. This session touches on some of the deep mathematics behind...

### Mathemagical Card Tricks

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There are many card tricks based on simple mathematics as opposed to sleight of hand. In this session, participants will play with a number of such tricks, test them out and work on discovering the math underneath, with a goal to formalize the mathematics that makes the trick work.

### Pigeonhole Principle and Parity Problems

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The pigeonhole principle states that if n pigeons are put into m cubbies, with n > m, then at least one cubby must contain more than one pigeon. Parity problems deal with odd and even integers. Here is a collection of problems that can be used in a single problem...

### Place Value Problems

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In this session, we’ll learn how to solve problems related to place value. This is one of the fundamental concepts in arithmetic, something every elementary and middle school mathematics teacher should understand profoundly. Several example puzzles are followed by a rich selection of over 30 additional problems to explore. This...