Standard #: MAFS.912.A-REI.4.10 (Archived Standard)


This document was generated on CPALMS - www.cpalms.org



Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).


General Information

Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Algebra: Reasoning with Equations & Inequalities
Cluster: Represent and solve equations and inequalities graphically. (Algebra 1 - Major Cluster) (Algebra 2 - Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Content Complexity Rating: Level 1: Recall - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes

Test Item Specifications

    Assessed with:
    MAFS.912.A-REI.4.11



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Related Resources

Formative Assessments

Name Description
Case In Point

Students are asked to explain the relationship between the set of solutions and the graph of an exponential equation.

What Is the Point?

Students are asked to explain the relationship between a given linear equation and both a point on its graph and a point not on its graph.

Finding Solutions

Students are asked to explain the relationship between a given linear equation and both a point on its graph and a point not on its graph.

Lesson Plans

Name Description
Steel vs. Wooden Roller Coaster Lab

This lesson is a Follow Up Activity to the Algebra Institute and allows students to apply their skills on analyzing bivariate data. This STEM lesson allows students the opportunity to investigate if there is a linear relationship between a coaster's height and speed. Using technology the students can determine the line of best fit, correlation coefficient and use the line for interpolation. This lesson also uses prior knowledge and has students solve systems of equations graphically to determine which type of coaster is faster.

Pendulum Conundrum Inquiry Lab

In this exploration, students will answer the following essential questions:

  1. How does the length of a pendulum impact how long it takes to swing back and forth?
  2. How does the amount of mass hanging from a pendulum impact the amount of time to swing back and forth?
  3. How can we calculate the value of acceleration due to gravity (g) from the behavior of a moving pendulum (optional activity for math reinforcement)?
Whose Line Is It Anyway?

In this lesson, students will use graphing calculators to explore linear equations in the form y = mx + b. They will observe the graphs of equations with different values of slope and y-intercept. They will draw conclusions about how the value of slope and y-intercept are visible in the appearance of the graph.

Original Student Tutorial

Name Description
Finding Solutions on a Graph

Learn to determine the number of possible solutions for a linear equation with this interactive tutorial.

Problem-Solving Task

Name Description
Taxi!

This simple conceptual problem does not require algebraic manipulation, but requires students to articulate the reasoning behind each statement.

Tutorials

Name Description
Introduction to the Coordinate Plane

In this video, you will learn about Rene Descartes, and how he bridged the gap between algebra and geometry.

Dependent and independent variables exercise: graphing the equation

It's helpful to represent an equation on a graph where we plot at least 2 points to show the relationship between the dependent and independent variables. Watch and we'll show you.

Unit/Lesson Sequence

Name Description
Sample Algebra 1 Curriculum Plan Using CMAP

This sample Algebra 1 CMAP is a fully customizable resource and curriculum-planning tool that provides a framework for the Algebra 1 Course. The units and standards are customizable and the CMAP allows instructors to add lessons, worksheets, and other resources as needed. This CMAP also includes rows that automatically filter and display Math Formative Assessments System tasks, E-Learning Original Student Tutorials and Perspectives Videos that are aligned to the standards, available on CPALMS.

Learn more about the sample Algebra 1 CMAP, its features and customizability by watching the following video:

Using this CMAP

To view an introduction on the CMAP tool, please .

To view the CMAP, click on the "Open Resource Page" button above; be sure you are logged in to your iCPALMS account.

To use this CMAP, click on the "Clone" button once the CMAP opens in the "Open Resource Page." Once the CMAP is cloned, you will be able to see it as a class inside your iCPALMS My Planner (CMAPs) app.

To access your My Planner App and the cloned CMAP, click on the iCPALMS tab in the top menu.

All CMAP tutorials can be found within the iCPALMS Planner App or at the following URL: http://www.cpalms.org/support/tutorials_and_informational_videos.aspx

Video/Audio/Animation

Name Description
Graphing Lines 1

Khan Academy video tutorial on graphing linear equations: "Algebra: Graphing Lines 1"

Virtual Manipulative

Name Description
Graph a Line Using Y-Intercept and Slope

This tutorial will help you to graph a line using its slope and y-intercept, or to identify the slope and y-intercept from a linear equation written in slope-intercept form.

Student Resources

Original Student Tutorial

Name Description
Finding Solutions on a Graph:

Learn to determine the number of possible solutions for a linear equation with this interactive tutorial.

Problem-Solving Task

Name Description
Taxi!:

This simple conceptual problem does not require algebraic manipulation, but requires students to articulate the reasoning behind each statement.

Tutorials

Name Description
Introduction to the Coordinate Plane:

In this video, you will learn about Rene Descartes, and how he bridged the gap between algebra and geometry.

Dependent and independent variables exercise: graphing the equation:

It's helpful to represent an equation on a graph where we plot at least 2 points to show the relationship between the dependent and independent variables. Watch and we'll show you.

Video/Audio/Animation

Name Description
Graphing Lines 1:

Khan Academy video tutorial on graphing linear equations: "Algebra: Graphing Lines 1"



Parent Resources

Problem-Solving Task

Name Description
Taxi!:

This simple conceptual problem does not require algebraic manipulation, but requires students to articulate the reasoning behind each statement.

Video/Audio/Animation

Name Description
Graphing Lines 1:

Khan Academy video tutorial on graphing linear equations: "Algebra: Graphing Lines 1"



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