## This post shows the use of Google Slides to develop the concept of subtracting integers.

Google Slides can be accessed here. Make a copy to use and edit it.

## Adding Integers with +- Counters on Google Slides

### This post shows the use of Integers counters on a Google Slides document.

Here is a link to a FREE copy of the Google Slides.

## Graphing Linear Function Using Slope-Intercept – Steps

### This document walks students through the steps for plotting the y-intercept and then using run and rise to plot additional points to draw a line.

The handout starts with a review of prerequisite skills of identify slope and intercept in the equation.

Below are slides from a Google Slides version.

Link to handout here. Link to Google Slides version here (make a copy to use it).

## Estimating Prices of Common Items

### Google Slides for helping students estimate prices

The Google Slides (link at bottom of page) has an editable text box to allow educators and parents to enter items for estimation (below, top). Several items can be included in a single Google Slides (below, bottom).

If a student has an unreasonable response, a follow up activity can be provided. In the follow up, the student shops online for 3 different examples of the item (below, top). In the example at the bottom, the student had reasonable estimates for shoes and a laptop, and was tasked with shopping for candy bars and a bag of chips. After multiple sessions, the student began to estimate candy bar prices in the low single digits.

Here is a link to the artifact. You have to make a copy to use it.

## Intro to Writing Equations for Linear Functions – Pizza and Toppings

Many students struggle with writing equations for linear functions, even with only 2 parameters to fill in (slope and the y-intercept are parameters for the equation). This approach make a connection between the table and graph with the equation. The relevant, real life context helps students.

Link to YouTube video showing how to present the activity.

Link to Facebook Reel showing presentation.

Link to Google Slides used in video – make a copy to edit.

Link to handout used in the presentation.

## Subtracting a Negative – Why it Becomes Addition

Here is a link to a Jamboard for presenting the transformation (you click on the negative sign and rotate and slide it).

Here is a link to a video showing how this transformation. This video addresses the underlying concept of the transformation by showing an IOU being cancelled.

## “All I Really Need to Know” in math is From Elementary and Middle School

A spin off to Fulghum’s book (below) is that by high school, students have been presented with almost all of the math they need if they are not pursuing college.

High school math, aside from some exceptions, is largely designed to prepare students for college and subsequent careers.

If your student is entering high school and does not have a postsecondary goal of college (2 or 4 year) then you can turn the main focus of the math education to topics covered before high school.

Some of the topics in geometry and statistics are applicable to real life and most of those would have been covered in the Statistics or Geometry and Measurement domains from previous grades. There are topics unique to high school math that are prerequisites for some vocations, e.g., trigonometry for surveying. Some applications of the high school math address real life, but the focus is on the math and not the applications.

The image below shows a breakdown of a sample of topics for life skills math and for two vocations. Here is a link to a PDF of the document shown above. You can see the math topics. Here are the links to the pages for the plumbing topics and the welding topics.

Related to this value of college education for certain job sectors. The director of the Office of Higher Education in Connecticut, Tim Larson, stated that many companies have proprietary software, programs, or procedures that they will teach new hires. The take away from this is that much of the actionable knowledge needed would not be covered in college. Many of the skills they are looking for are not academic in nature. The Wall Street Journal published two articles that speak to the change in requirements for some jobs, in which a college degree is no longer a requirement (“Rethinking the Need for College Degrees“, “Is this the end of college as we know it?”)

A college education (or at least the degree) provides incredible opportunities, but it is not needed for many students.