# Systems of Equations in Hogsmeade

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(5 pages)
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Allow your students to travel to Hogsmeade through word problems that will require them to use systems of equations to solve. In the meantime, their answers will correlate to a valuable piece of advice from a wise wizard.

This document is for a paperless classroom and will work with laptops or iPads. If you don't have access to Google Classroom, you can still use it as a presentation or print as a paper lesson.

What this is:

Independent Practice or Standardized Test Prep practice on solving system of equations from word problems based off of ideas from the Harry Potter series.

What you need:

1. Internet access and a Google account.

2. A device to present the information to your students or individual devices and Google Classroom.

How the Process Works:

2. When prompted, click to “Copy” the file. The link will automatically make a copy of the editable product that you purchased and add it to your Google Drive.

3. Move the file the drive folder of your choice.

Note:

The product is a digital version. A teacher copy is in PDF format and available for print. The student portion of the product is intended for digital use.

This paperless product can be used as independent practice, review, for test prep, independent centers, or to assess skills that your students need to master.

What better way to have students write and solve systems of equations than with Harry Potter type questions? It's a win win!

Attend to precision. Mathematically proficient students try to communicate precisely to others. They try to use clear definitions in discussion with others and in their own reasoning. They state the meaning of the symbols they choose, including using the equal sign consistently and appropriately. They are careful about specifying units of measure, and labeling axes to clarify the correspondence with quantities in a problem. They calculate accurately and efficiently, express numerical answers with a degree of precision appropriate for the problem context. In the elementary grades, students give carefully formulated explanations to each other. By the time they reach high school they have learned to examine claims and make explicit use of definitions.
Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. Older students might, depending on the context of the problem, transform algebraic expressions or change the viewing window on their graphing calculator to get the information they need. Mathematically proficient students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends. Younger students might rely on using concrete objects or pictures to help conceptualize and solve a problem. Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, "Does this make sense?" They can understand the approaches of others to solving complex problems and identify correspondences between different approaches.
Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.
Total Pages
5 pages
Included
Teaching Duration
1 hour
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