NY Next Generation Math NY-8.EE.8

NY-8.EE.8 is a cluster heading. These are the individual standards under it.

• NY-8.EE.8.a

  Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersect...

• NY-8.EE.8.b

  Solve systems of two linear equations in two variables with integer coefficients: graphically, numerically using a table, and algebraically. Solve simple cases ...

• NY-8.EE.8.c

  Solve real-world and mathematical problems involving systems of two linear equations in two variables with integer coefficients.

01

What Students Need to Do

Students analyze and solve pairs of simultaneous linear equations as systems. They connect graphs, tables, algebraic methods, and contexts while recognizing one solution, no solution, or infinitely many solutions.

02

What Mastery Looks Like

A student identifies a solution as an ordered pair satisfying both equations and verifies it in each. The student selects an efficient method and interprets the solution count from the equations or graphs.

03

Common Misconceptions

Students may solve each equation separately without finding a shared ordered pair or check a solution in only one equation. They may assume every pair of lines intersects once.

04

How to Assess It

Give students an integer-coefficient system with one variable having coefficient 1. Ask them to solve it two ways, verify the ordered pair, and explain what the intersection means.

1. 01

   Overlay two graphed lines on a coordinate grid, locate shared points, and test intersection coordinates in both equations.

2. 02

   Ask students how a table, graph, and algebraic solution display the same shared ordered pair.

3. 03

   Play method match with systems suited to graphing, tables, substitution, elimination, or inspection.

4. 04

   Compare two pricing or distance relationships and interpret when their values are equal.

• NY-8.EE.7

  Solve linear equations in one variable.