7Th Grade Math Standards for 1St Grading Period

7th Grade Math Standards for 1st Grading Period

Unit 1 Unit 2

Operations with Rational Numbers Expressions & Equations Apply and e xtend p re vious Use p r o p erties of o p eratio n s to u n d er standings of op er ations w ith ge n era t e e qu ivale n t e xp re ssions. f r a c tions to add, sub tr a c t, multipl y , and divide ratio n al nu m b ers. MCC7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand MCC7.NS.1 Apply and extend previous linear expressions with rational coefficients. understandings of addition and subtraction to add and subtract rational numbers; represent MCC7.EE.2 Understand that rewriting an addition and subtraction on a horizontal or expression in different forms in a problem vertical number line diagram. context can shed light on the problem and how the quantities in it are related. MCC7.NS.1a Describe situations in which opposite quantities combine to make 0. Solve r e al-life and math e matical p r obl e ms using num er i c al and algebraic expr e ssions MCC7.NS.1b Understand p + q as the number and e quations. located a distance |q| from p, in the positive or negative direction depending on whether q is MCC7.EE.3 Solve multi-step real-life and positive or negative. Show that a number and its mathematical problems posed with positive and opposite have a sum of 0 (are additive inverses). negative rational numbers in any form (whole Interpret sums of rational numbers by describing numbers, fractions, and decimals), using tools real-world contexts. strategically. Apply properties of operations as strategies to calculate with numbers in any form; MCC7.NS.1c Understand subtraction of rational convert between forms as appropriate; and numbers as adding the additive inverse, p – q = assess the reasonableness of answers using p + (– q). Show that the distance between two mental computation and estimation strategies. rational numbers on the number line is the absolute value of their difference, and apply this MCC7.EE.4 Use variables to represent principle in real-world contexts. quantities in a real- world or mathematical problem, and construct simple MCC7.NS.1d Apply properties of operations equations and inequalities to solve problems by as strategies to add and subtract rational reasoning about the quantities. numbers. MCC7.EE.4a Solve word problems leading to MCC7.NS.2 Apply and extend previous equations of the form px + q = r and p(x + q) = understandings of multiplication and r, where p, q, and r are specific rational division and of fractions to multiply and numbers. Solve equations of these forms divide rational numbers. fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of MCC7.NS.2a Understand that multiplication the operations used in each approach. is extended from fractions to rational numbers by requiring that operations MCC7.EE.4b Solve word problems leading to continue to satisfy the properties of operations, inequalities of the form px + q > r or px + q < r, particularly the distributive property, leading to where p, q, and r are specific rational numbers. products such as (– 1)(– 1) =1 and the rules for Graph the solution set of the inequality and multiplying signed numbers. Interpret products interpret it in the context of the problem. of rational numbers by describing real-world contexts.