CCSS.Math.Content.6.EE.B.7
The standard
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
Common Core State Standards for Mathematics · Expressions and Equations
What this standard means
Students need to turn a situation into a one-step equation, then solve it using inverse operations. They should handle addition and multiplication equations with whole numbers, fractions, and decimals. They also need to explain what the variable means in the situation.
Mastery looks like writing the correct equation before solving, showing a valid step, and checking the answer in context. Students often mix up addition and multiplication situations, forget that division undoes multiplication, or lose track of units when decimals or fractions are involved.
Ways to teach it
- Hands-on activity: Give pairs balance-scale cards for x + 3.5 = 9 and 4x = 18, then have them model and solve with counters or fraction strips.
- Writing prompt: Ask students to write a story problem for 2.5x = 15, then trade with a partner to solve and check.
- Quick assessment: Use three exit ticket problems, one x + p = q, one px = q, and one word problem requiring an equation.
- Real-world connection: Have students write equations for shopping totals, like notebooks plus tax or equal snack bags from a bulk package.
Plan a lesson for CCSS.Math.Content.6.EE.B.7
Generate a complete lesson plan aligned to this standard, with objectives, activities, and materials. Free, no account needed.
Related standards
- CCSS.Math.Content.7.NS.A.3
Solve real-world and mathematical problems involving the four operations with rational numbers.
- CCSS.Math.Content.7.EE.B.4a
Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these form...
- CCSS.Math.Content.8.EE.A.2
Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Evaluate square ...
- CCSS.Math.Content.7.EE.B.4b
Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the...