Access Point #: MAFS.8.EE.3.AP.8b (Archived Access Point)


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



Given two sets of coordinates for two lines, plot the lines on a coordinate plane and define the rise/run (m) for each line to determine if the lines will intersect or not.

Clarifications:

Essential Understandings

Concrete:

  • Identify the solution to a system (i.e., find when the two lines on the same graph cross).
  • Graph a line on a coordinate plane.
  • Use manipulatives or graphic organizer to solve a problem.
  • Use substitution to generate values to graph a line.
Representation:
  • Understand the following concepts, vocabulary, and symbols: +, -, ×, ÷, =, variable, equation.
  • Use the slope and the origin of the line, determine if the lines will intersect.
  • Select the solution of the equation algebraically using substitution.
  • Generate the solution of the equation algebraically using substitution.

Number: MAFS.8.EE.3.AP.8b Category: Access Points
Date Adopted or Revised: 07/14 Cluster: Analyze and solve linear equations and pairs of simultaneous linear equations. (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.

Related Standards

Name Description
MAFS.8.EE.3.8: Analyze and solve pairs of simultaneous linear equations.
  1. Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
  2. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
  3. Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.




Related Courses

Name Description
1205050: M/J Accelerated Mathematics Grade 7
1205070: M/J Grade 8 Pre-Algebra
1204000: M/J Foundational Skills in Mathematics 6-8
1205510: Explorations in Mathematics 2
7812030: Access M/J Grade 8 Pre-Algebra
7912115: Fundamental Explorations in Mathematics 2