Kentucky Academic Standards
The Number System
Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply and divide rational numbers.
KY.7.NS.2. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. (MP.2, MP.7, MP.8)
KY.7.NS.2.c. Apply properties of operations as strategies to multiply and divide rational numbers.
KY.7.NS.3. Solve real-world and mathematical problems involving the four operations with rational numbers. (MP.1, MP.2, MP.5)
Expressions and Equations
Cluster: Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
KY.7.EE.3. Solve real-life and mathematical problems posed with positive and negative rational numbers in any form, using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. (MP.1, MP.4, MP.6)
KY.7.EE.4. Use variables to represent quantities in a real-world or mathematical problem and construct equations and inequalities to solve problems by reasoning about the quantities. (MP.2, MP.4)
KY.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 specific rational numbers. Solve equations of these forms. Graph the solution set of the equality and interpret it in context of the problem.