Algebra on a Chromebook: Google Search Math Tricks

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Need a calculator?
Need a graphing calculator?
Need a unit converter?
Need to calculate a volume?
Need to calculate an area?
Need to find the measurement of the side of a shape, given one of its volume or area?

Your students (and you) can use Google Search to perform all of those tasks without ever leaving the browser window. Does it take the place of having a standard, standalone, scientific calculator? Of course not.

However, knowing these Google search math tricks help me to work more efficiently when I'm in the flow of a project. Having a browser window open is ubiquitous to the modern computer experience, so as often as possible, it makes a lot of sense to me to utilize what I've already got open and available. If I can perform the task without going to a specific online calculator or grabbing my physical calculator, it just makes sense.

So what all can I do?
1. Perform calculations the same way you might on a handheld calculator.
You can even do square roots or logs if you know the proper notation.

2. Graph equations of functions. 

Include a comma between equations to do more than one. Trace for specific values by hovering your mouse cursor over the function.

3. Calculate the volume or surface area of a 3D solid. 
Just type in volume formula of _________. Cone is shown here, but also works with cylinders, prisms, spheres, and pyramids.

4. Calculate the area of a 2D shape. 
If you only search, "area of _______," it will return the formula and give you a text field to enter your dimensions, but you can also specify a dimension in the search. In the example below, I specified a radius of 4 by including "r=___"

5. Convert units 

This is super important for project-based learning, "real-world" problems, or gathering information for 3-act math stories.

The drop-down menu that is currently on "digital storage" below also has options for temperature, length, mass, speed, volume, area, fuel consumption, and time units.

Algebra on a Chromebook: Coding with Bootstrap

Have you ever wanted to code in the classroom to integrate more STEM projects, but felt tied into making sure you hit all your required curriculum?

Bootstrap (www.bootstrapworld.org) is a complete curricular resource for math teachers who want to integrate coding into their algebra instruction and computer science teachers who want to integrate and support their students' math learning.  Students learn the logic and spatial reasoning necessary to translate into "real" coding languages while working with operations, functions, and the coordinate plane. It's a real two-for-one!

What Will I Find?

The Bootstrap website has everything you will need to implement the Bootstrap curriculum in your Algebra 1 class (except for the technology hardware, of course)

1. Student workbook (and teacher edition)
2. Unit pages for students to follow through and fill in their workbook
3. WeScheme online coding environment (this is called an IDE, for "integrated development environment," which just means, "this is where you write the code for your website or webapp.")
4. Alignment to common core standards
5. Teacher notes (displayed on the same page students use to read instructional content)
6. Professional development videos to help you understand coding-specific words or processes before you have to share with your class.

How Will My Students Do This on Their Chromebooks?

Some of the work in the Bootstrap units will take place in the online modules, some will be handwritten on paper or whiteboards, and some will be in an IDE like WeScheme (when kids are building their projects)

In other words, students will use their Chromebooks for viewing lesson content, collaborating, and writing their code. 

Why Should I Do This Instead of Focusing on Raising Tests Scores? Accreditation is Very Important for Us.

I believe this question can be answered with three more. How's your more traditional curriculum working for all of your student? Is everyone mastering the Algebra content? Are your students learning content for a test, or are you giving them a vision for something more?

In my personal experience, the number of students that come into my Algebra 1 class that are being successful in "normal" classes continues to fall. We still have students that can excel in those environments and can play the school game, but I see a growing divide between those and the others. Going through the laundry list of things our district is trying to target, the bootstrap curriculum gives me opportunity to still do plenty in reading technical content, writing for assessment and understanding, and providing engaging, relevant work.

How Else Could I Sell This to My Administrator and My Colleagues?

Here are some talking points that should cover most of your bases-

• "The units are aligned to the common core."
• "Students will have an end product to demonstrate their learning at the end of the semester."
• "They provide a pre and post test to gather data on the curriculum's effectiveness."
• "Coding is a highly relevant and marketable skill for getting our students college and career-ready."
• "Feel free to come visit and ask my kids about their work at any time. :)"

Is the Bootstrap curriculum for everyone? Maybe not - if you have no interest in coding yourself, then I think you would have a hard time getting your students passionate about learning themselves. Some students are just as averse to "new" or "different" in education as your teaching colleagues, so you'll need to be sold on the idea yourself to get them on board. That's not to say you already need to know everything about coding. The teacher notes are very helpful, and I went from totally confused to amazed at the idea of "circles of evaluation" and how they can help increase my students' UNDERSTANDING of the process and necessity of order of operations.

Algebra on a Chromebook: LucidChart Diagrams

I've heard more than once that laptops or Chromebooks in a 1:1 environment get relegated under the desk during math class because the classroom teacher struggles with finding ways to integrate the technology into what is usually a much more hands-on process with graph paper, pencil, and exercises.

I think the easiest answer is to have kids using the laptops for watching videos, looking up examples on webpages, or drill and practice on websites. The sexy answer is to have kids engaged in problem-based learning, integrating their math work into relevant reports, graphs, images, and presentations, but first you would have to also sell problem-based learning on the teacher.

In between the easy answer and the sexy answer lies LucidChart Diagrams, whose collection of education templates can facilitate note-taking, critical thinking, the problem solving process, organizing and summarizing, sequencing, and concept mapping.

Let me show you briefly how a student could use LucidChart Diagrams to integrate writing and list the steps to solving an equation.

You can find LucidChart Diagrams in the Chrome App Store

After clicking on "Create," this box pop-ups, giving you a selection of templates. There is an extensive "education" collection.

This is the "sequence chart" which you could use for any technical writing task. 

Your next task is inserting an image of a worked out equation for students to write about. Scroll to the bottom of the menu on the left and select the plus icon to add an image. This box pops up in which you can do a Google search or upload your own (student or teacher created)

Here's what mine looks like after resizing the image some and inserting each of my steps. (click to zoom or pop out to new tab)

Other charts you might use - 

• Venn Diagrams
• Cluster/Word Web
• Compare and Contrast
• Concept Map - use to connect similarities and differences in characteristics of functions
• Planning Chart - problem solving or think alouds
• Vocabulary Chart - visualizing unit vocabulary, grouping similar/related words
• T-chart - change the headings and use as guided notes/interactive notebook. students import images of examples and type in on the right side.