NY Next Generation Math NY-7.EE.4

NY-7.EE.4 is a cluster heading. These are the individual standards under it.

• NY-7.EE.4.a

  Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are rational numbers. Solve equations of these forms fluentl...

• NY-7.EE.4.b

  Solve word problems leading to inequalities of the form px + q > r, px + q ≥ r, px + q ≤ r, or px + q < r, where p, q, and r are rational numbers. Graph the sol...

01

What Students Need to Do

Students choose variables for unknown quantities and build simple equations or inequalities from a problem. They reason about the quantities to solve and interpret the result.

02

What Mastery Looks Like

The student defines a variable, writes a matching equation or inequality, and solves it. The student checks the solution against the original quantities and explains its meaning.

03

Common Misconceptions

Students may use a variable without stating what it represents. They may write an equation from keywords while ignoring how the quantities are related.

04

How to Assess It

Ask students to represent and solve: A club has $35 and earns $6 per sale toward a $95 goal. Define the variable and interpret the solution.

1. 01

   Use cups, counters, and a balance mat to model an unknown quantity before writing an equation.

2. 02

   Ask students to explain what their variable and solution mean in a fundraising problem.

3. 03

   Play equation-or-inequality sort with situation cards, requiring a variable definition for every card.

4. 04

   Model a phone plan with a monthly fee and usage charge, then write a constraint for a spending limit.

• NY-6.EE.9

  Use variables to represent two quantities in a real-world problem that change in relationship to one another. Given a verbal context and an equation, identify t...

• NY-6.EE.6

  Use variables to represent numbers and write expressions when solving a real-world or mathematical problem. Understand that a variable can represent an unknown ...