North Dakota Academic Content Standards
ND.7.RP. Ratios and Proportional Relationships
Analyze proportional relationships and use them to solve real world and mathematical problems.
7.RP.3. Use proportional relationships to solve multi-step ratio and percent problems.
ND.7.NS. The Number system
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
7.NS.2. Apply and extend previous understandings of multiplication, division, and fractions to multiply and divide rational numbers.
7.NS.2.d. Convert a rational number to a decimal using long division. Know that the decimal form of a rational number terminates or eventually repeats.
7.NS.3. Solve real world and mathematical problems involving the four operations with rational numbers.
ND.7.EE. Expressions and Equations
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
7.EE.3. Solve multi-step real-life and mathematical problems posed with rational numbers in any form (positive and negative, fractions, decimals, and integers), using tools strategically. Apply properties of operations to calculate with numbers in any form. Convert between forms as appropriate. Assess the reasonableness of answers using mental computation and estimation strategies.
7.EE.4. Use variables to represent quantities in a real world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
7.EE.4.a. Solve word problems leading to equations of the form px+q=r and ݑ(ݰݑ+Űݑ)=ްݑ, where ߰ݑ,ݰݑ, and ްݑ are specific rational numbers. Solve equations of these forms fluently. Compare the algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.