Pretest (Optional) Use as an additional pacing tool to guide instruction. August 21

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1 Trimester 1 Pretest (Otional) Use as an additional acing tool to guide instruction. August 21 Beyond the Basic Facts In Trimester 1, Grade 7 focus on multilication. Daily Unit 1: The Number System Part 1 August 22 Setember 6 (11 days) Title Groued lessons may be combined. Otional lessons are in italics. Tye Combine Oosites to Make Zero 7.NS.1ab C Combine Oosites to Make Zero 7.NS.1ab P 1.1, 1.2, Add Integers 7.NS.1bd C 1.1, 1.2, Add Integers 7.NS.1b P Add Rational Numbers 7.NS.1bd P 53 6 Sums of Rational Numbers 7.NS.3 MT 1.3, Subtract Integers 7.NS.1cd C 1.3, Subtract Integers 7.NS.1c P Subtract Rational Numbers 7.NS.1cd P 3.2, Add & Subtract Rational Numbers 7.NS.1abcd P Differences of Rational Numbers 7.NS.3 MT Unit 1 Constructed Resonse (allow 3 days) Unit 1 Assessment Setember 7 & 10 Unit 2: The Number System Part 2 Setember 11 October 1 (15 days) Title Groued lessons may be combined. Otional lessons are in italics. Tye Multily Integers 7.NS.2a C Multily Integers 7.NS.2a P Multily Rational Numbers 7.NS.2a P indicates a major standard; unmarked standards are additional or suorting Coyright Swun Math

2 Unit 2: The Number System Part 2 (cont.) Title Groued lessons may be combined. Otional lessons are in italics. Tye Multily Integers: Distributive Proerty 7.NS.2a C Multily Integers: Distributive Proerty 7.NS.2a P Multily Rational Numbers: Distributive Proerty 7.NS.2a P 3.4, Word Problems: Interret Products 7.NS.2a 7.NS.3 P Divide Integers 7.NS.2b C Divide Integers 7.NS.2b P Divide Rational Numbers 7.NS.2b P Word Problems: Interret Quotients 7.NS.2b P Multily & Divide Integers 7.NS.2abc 7.NS.3 MT Proerties of Multilication and Division 7.NS.2c P Convert Rational Numbers to Decimals 7.NS.2d P Problem Solving with Rational Numbers 7.NS.3 MT Unit 2 Assessment October 2 & 3 Unit 3: Ratio & Proortional Relationshis October 4 22 (13 days) Title Groued lessons may be combined. Otional lessons are in italics. Tye Understanding Ratios 7.RP.1 C Unit Rates 7.RP.1 P Unit Rates 7.RP.1 P Word Problems: Unit Rates 7.RP.1 P Identify Proortional Relationshis: Tables 7.RP.2ab C Proortional Relationshis: Tables 7.RP.2a P Identify Proortional Relationshis: Grahs 7.RP.2a C Proortional Relationshis: Create Grahs 7.RP.2d P Constant of Proortionality 7.RP.2b P Proortional Relationshis: Write Equations 7.RP.2c C indicates a major standard; unmarked standards are additional or suorting Coyright Swun Math

3 Unit 3: Ratio & Proortional Relationshis (cont.) Title Groued lessons may be combined. Otional lessons are in italics. Tye Proortional Relationshis: Solve Equations 7.RP.2c P 4.2, Determine Proortional Relationshis 7.RP.2c P Ratios and Proortions 7.RP.1 7.RP.2 MT Unit 3 Assessment (Otional) October 23 & 24 Trimester 1 Cumulative Benchmark Review October 25 Trimester 1 Cumulative Benchmark October 26 & 29 Trimester 1 Performance Task October 30 & 31 indicates a major standard; unmarked standards are additional or suorting Coyright Swun Math

4 Ratios and Proortional Relationshis 7.RP Analyze roortional relationshis and use them to solve real-world and mathematical roblems. 1. Comute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For examle, if a erson walks 1/2 mile in each 1/4 hour, comute the unit rate as the comlex fraction ½/¼ miles er hour, equivalently 2 miles er hour. 2. Recognize and reresent roortional relationshis between quantities. a. c. d. Decide whether two quantities are in a roortional relationshi, e.g., by testing for equivalent ratios in a table or grahing on a coordinate lane and observing whether the grah is a straight line through the origin. Identify the constant of roortionality (unit rate) in tables, grahs, equations, diagrams, and verbal descritions of roortional relationshis. Reresent roortional relationshis by equations. For examle, if total cost t is roortional to the number n of items urchased at a constant rice, the relationshi between the total cost and the number of items can be exressed as t = n. Exlain what a oint (x, y) on the grah of a roortional relationshi means in terms of the situation, with secial attention to the oints (0, 0) and (1, r) where r is the unit rate. 3. Use roortional relationshis to solve multiste ratio and ercent roblems. Examles: simle interest, tax, markus and markdowns, gratuities and commissions, fees, ercent increase and decrease, ercent error. The Number System 7.NS Aly and extend revious understandings of oerations with fractions to add, subtract, multily, and divide rational numbers. 1. Aly and extend revious understandings of addition and subtraction to add and subtract rational numbers; reresent addition and subtraction on a horizontal or vertical number line diagram. Describe situations in which oosite quantities combine to make 0. a. For examle, a hydrogen atom has 0 charge because its two constituents are oositely charged. Understand + q as the number located a distance q from, in the ositive or negative direction deending on whether q is ositive or negative. Show that a number and its oosite have a sum of 0 (are additive inverses). Interret sums of rational numbers by describing real-world contexts. indicates a major standard; unmarked standards are additional or suorting Coyright Swun Math

5 c. Understand subtraction of rational numbers as adding the additive inverse, q = + ( q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and aly this rincile in real-world contexts.. d. Aly roerties of oerations as strategies to add and subtract rational numbers. 2. Aly and extend revious understandings of multilication and division and of fractions to multily and divide rational numbers. a. c. d. Understand that multilication is extended from fractions to rational numbers by requiring that oerations continue to satisfy the roerties of oerations, articularly the distributive roerty, leading to roducts such as ( 1)( 1) = 1 and the rules for multilying signed numbers. Interret roducts of rational numbers by describing real-world contexts. Understand that integers can be divided, rovided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If and q are integers, then (/q) = ( )/q = /( q). Interret quotients of rational numbers by describing real-world contexts. Aly roerties of oerations as strategies to multily and divide rational numbers. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually reeats. 3. Solve real-world and mathematical roblems involving the four oerations with rational numbers. indicates a major standard; unmarked standards are additional or suorting Coyright Swun Math