Additional Mathematics: Students will use addition, subtractions, multiplication, and division of rational numbers: in grade 8 when expanding their knowledge in rational to irrational numbers in algebra and geometry when they expand into real numbers and beyond Possible Organization of Unit Standards: This table identifies additional grade-level standards within a given cluster that support the overarching unit standards from within the same cluster. The table also provides instructional connections to grade-level standards from outside the cluster. Overarching Unit Supporting Standards Instructional Connections Standards within the Cluster outside the Cluster 7.NS.1: Apply and 7.NS.1a: 7.EE.1: Apply properties of operations as strategies to add, Describe situations in which opposite quantities combine to make 0. extend previous subtract, factor, and expand linear expressions with 7.NS.1b: understandings of rational coefficients. Understand p + q as the number located a distance |q| from p, in addition and the positive or negative direction depending on whether q is positive subtraction to add 7.EE.2: Understand that rewriting an expression in different or negative. Show that a number and its opposite have a sum of 0 and subtract rational forms in a problem context can shed light on the problem (are additive inverses). Interpret sums of rational numbers by numbers, and and how the quantities in it are related. describing real-world contexts. represent addition 7.NS.1c: and subtraction on a Understand subtraction of rational numbers as adding the additive horizontal or vertical inverse, p q = p + (–q). Show that the distance between two – number line rational numbers on the number line is the absolute value of their diagram. difference, and apply this principle in real-world contexts. 7.NS.1d: Apply properties of operations as strategies to add and subtract rational numbers. 7.NS.2: and 7.NS.2a: extend previous Understand that multiplication is extended from fractions to rational understandings of numbers by requiring that operations continue to satisfy the multiplication and properties of operations, particularly the distributive property, division and of leading to products such as (–1)(–1) = 1 and the rules for fractions to multiply multiplying signed numbers. Interpret products of rational numbers and divide rational by describing real-world contexts. numbers. 7.NS.2b:
Additional Mathematics: Students will use addition, subtractions, multiplication, and division of rational numbers: in grade 8 when expanding their knowledge in rational to irrational numbers in algebra and geometry when they expand into real numbers and beyond Possible Organization of Unit Standards: This table identifies additional grade-level standards within a given cluster that support the overarching unit standards from within the same cluster. The table also provides instructional connections to grade-level standards from outside the cluster. Overarching Unit Standards Supporting Standards within the Cluster Instructional Connections outside the Cluster 7.NS.1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers, and represent addition and subtraction on a horizontal or vertical number line diagram. 7.NS.1a: Describe situations in which opposite quantities combine to make 0. 7.NS.1b: Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. 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.1c: Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). 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.1d: Apply properties of operations as strategies to add and subtract rational numbers. 7.EE.1: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2: Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. 7.NS.2: and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. 7.NS.2a: Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts. 7.NS.2b:
Common%20Math%20Lesson%20MD_Unit%20Plan_ALL_7%20NS%201-3%20Operations%20with%20Rational%20Nu....docx