Graph of a Linear Function Algebra Readiness Formative Assessment
- Subject:
- Mathematics
- Material Type:
- Assessment
- Provider:
- VDOE
- Author:
- VDOE
- Date Added:
- 10/07/2024
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Students lean about proportions, ratios, and unit rate. It is important for connections to be made among ratio tables, graphing points, and slope of a line. Students make these connections through the first activity provided by the VDOE. The second task by Illustrative Mathematics is a way to assess student understanding.
Students compare slope as it relates to distance vs. time. Using a simulation on Desmos, students find that faster speeds create steeper slopes on a graph.
Graphing Linear EquationsMathematics Instructional Plans (MIPs) help teachers align instruction with the Mathematics Standards of Learning (SOL) by providing examples of how the knowledge, skills and processes found in the SOL and curriculum framework can be presented to students in the classroom.
This task requires students to use the fact that on the graph of the linear function h(x)=ax+b, the y-coordinate increases by a when x increases by one. Specific values for a and b were left out intentionally to encourage students to use the above fact as opposed to computing the point of intersection, (p,q), and then computing respective function values to answer the question. The Virginia Department of Education resource titled, "Graphing Linear Functions," which requires students to graph equations in y=mx + b form includes a template and lesson plan.
This lesson integrates computer science through discovering graphing on a coordinate plane for 6th graders all the way to a review for 8th graders with extensions that include slope.
Students will explore the "story" that can be interpreted from graphs. Graphical representations can be created by looking at videos of different situations on Desmos. After noticing that all types of linear slopes (zero, positive, and negative) can be included in a given situation, students create a graphical representation to show a change in heart rate overtime.
In this task, we are given the graph of two lines including the coordinates of the intersection point and the coordinates of the two vertical intercepts, and are asked for the corresponding equations of the lines. It is a very straightforward task that connects graphs and equations and solutions and intersection points. The students will use a VDOE resource to recognize and describe the graph of a linear function (foldables, bingo game, lesson plan for the teacher).