linear functions
-
Introduction to Intercepts – Mini-lesson with Scaffolded Section for Computing
Here is a link to the document, with images showing the notes. This is a mini-lesson with the following components. A fill in the blank for writing the lesson objective. A Do now which serves as an initiation to the lesson. The y-intercept can be discussed in the context of buying 0 slices of pizza…
-
Matching Activity for Linear Function Representations
Here is a matching activity on a Google Slides file for various representations of a set of linear functions: verbal, symbolic (equation), graphical, and tabular (or data). The students use gallery view of the slides and sort them by function. Then they can change the background color with a different color for each function. This…
-
Proportional Relationship (with k) vs Linear Function (with m)
There have been interesting discussions on various Facebook Teacher pages about proportional relationships vs linear functions. This mirrors discussion about the constant of proportionality vs slope vs unit rates. The difference between the proportional relationships and slope is context and the ratios. The ratio for the former addresses the variables themselves. The ratio for the…
-
Algebra 1: Concepts and Skills
I had an interesting discussion through a Facebook post recently regarding concepts vs skills. I want to share some information I have gathered regarding this topic. I do so, because there were a substantial number of teachers advocating for skill based learning. I hope to initiate some meaningful discussion. Below left is a photo of…
-
Group Model for Proportional Relationships and Slope Application
If you find this helpful, maybe consider making a small donation to help build an accessible playscape for children with disabilities. In my experience, many students struggle with translating word problems modeled by a proportional relationship or a linear function into a algebraic expression or equation. (Image below.) Here is a link to a Jamboard…
-
Multiplication, Proportional Relationships, and Slope Word Problems Updated
I posted previously about unpacking word problems involving multiplication or Slope. Here is an update. I have students draw a picture for the quantities identified. The multiplication situations become apparent when groups of objects are arise through the drawing, in contrast to an addition problem (right). This also helps algebra students visualize the rate and…
-
Multiplication, Proportional Relationships, and Slope Word Problems Updated
I posted previously about unpacking word problems involving multiplication or Slope. Here is an update. I have students draw a picture for the quantities identified. The multiplication situations become apparent when groups of objects are arise through the drawing, in contrast to an addition problem (right). This also helps algebra students visualize the rate and…
-
Dividing a Binomial
If you have taught algebra, you have likely experienced this error. We know many students will make this type of error and we can help many students avoid it by being proactive. Below are excerpts from a Google Jamboard that can be used to unpack the underlying concept of the division or simplifying shown above.…
-
Plotting Points Introduction
Plotting points is challenging for some students, even in high school. This approach uses the analogy of setting up a ladder for the x-value and climbing the ladder for the y-value. Jamboard with Ladder This activity is conducted on a Google Jamboard with moveable objects (see photo at the bottom on how to access it).The…
-
Reading Scatterplots with Ford Mustangs
One step in reading and analyzing scatterplots is simply identifying what the dots on the graph represent. Students who do not understand the meaning of the points, including the position, will struggle to interpret the graph. This post outlines a Jamboard activity to support interpretation of the points. Overview I present the scatterplot of used…