North Dakota Academic Content Standards
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.1. Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
7.NS.1.b. Understand ݑ+ݰݑ as the number located a distance |ްݑ| from ްݑ on a number line, in the direction indicated by the sign of ݰݑ. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real world contexts.
7.NS.1.c. Understand subtraction of rational numbers as adding the additive inverse, ݑݢȒݑ=ްݑ+(ݢȒݑ). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real world contexts.
7.NS.1.d. Apply properties of operations as strategies to fluently add and subtract rational numbers.
7.NS.2. Apply and extend previous understandings of multiplication, division, and fractions to multiply and divide rational numbers.
7.NS.2.a. eading to products such as (−1)(−1)=1 and the rules for multiplying rational numbers. Interpret products of rational numbers by describing real world contexts.
7.NS.2.c. Apply properties of operations as strategies to fluently multiply and divide 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.