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Middle School 1st Nine Weeks Plan Course: 7th Grade Math Dates: Aug. 17th-Oct. 13th Grade Level:7th Standard with Code: 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. a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged. b. 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. c. 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. d. Apply properties of operations as strategies to add and subtract rational numbers. 7.NS.2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers. a. 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. b. Understand that integers can be divided provided that the divisor is not zero and every quotient of integers (with nonzero divisor) is a rational number. If p and q are integers, then –(p/q) = -p/q = p/-q. Interpret quotients of rational numbers by describing real-world contexts. c. Apply properties of operations as strategies to multiply and divide rational numbers. d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in zeroes or eventually repeats. 7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. 1 1 Computations with rational numbers extend the rules for manipulating fractions to complex fractions. Domain: The Number System Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. 7.NS.2d_X_Knowledge 7.NS.1abcd, 7.NS.2abc, 7.NS.3_X_Reasoning Knowledge Targets: 7.NS.1 Describe situations in which opposite quantities combine to make 0. 7.NS.1 Know that a number and its opposite have a sum of 0 and are Reasoning Targets: 7.NS.1 Apply and extend previous understanding to represent addition and subtraction problems of rational numbers with a horizontal or vertical number line. __Performance Skill __Product Performance Skill Targets: Product Targets: additive inverses. 7.NS.1 Know that when adding two numbers, p + q, if q is positive, the sum of p and q will be |q| spaces to the right of p on the number line. 7.NS.1 Know that when adding two numbers, p + q, if q is negative, the sum of p and q will be |q| spaces to the left of p on the number line. 7.NS.1 Identify subtraction of rational numbers as adding the additive inverse property to subtract rational numbers, p – q = p + (-q). 7.NS.1 Identify properties of addition and subtraction when adding and subtracting rational numbers. 7.NS.2 Show that the distance between two rational numbers on the number line is the absolute value of their difference. 7.NS.1 Interpret sums of rational numbers by describing real-world contexts. 7.NS.1 Analyze and explain why the sum of p + q is located a distance of |q| in the positive or negative direction from p on a number line. 7.NS.1 Apply the additive inverse property to subtract rational numbers, p-q = p +(-q). 7.NS.1 Apply the principle of subtracting rational numbers in real-world contexts. 7.NS.1 Apply properties of operations as strategies to add and subtract rational numbers. 7.NS.3 Solve real-world mathematical problems by adding, subtracting, multiplying, and dividing rational numbers, including complex fractions. 7.NS.1 Add rational numbers. 7.NS.1 Subtract rational numbers. 7.NS.2 Multiply rational numbers. 7.NS.2 Divide rational numbers. 7.NS.2 Recognize that the process for multiplying fractions can be used to multiply rational numbers including integers. 7.NS.2 Know and describe the rules when multiplying signed numbers. 7.NS.2 Explain why integers can 7.NS.2 Apply the properties of operations, particularly distributive property, to multiply rational numbers. 7.NS.2 Interpret the products of rational numbers by describing realworld contexts. 7.NS.2 Interpret the quotient of rational numbers by describing realworld contexts. 7.NS.2 Apply properties of operations as strategies to multiply and divide rational numbers. be divided except when the divisor is 0. 7.NS.2 Describe why the quotient is always a rational number. 7.NS.2 Know and describe the rules when dividing signed numbers. 7.NS.2 Recognize that –(p/q) = p/q = p/-q. 7.NS.2 Identify how properties of operations can be used to multiply and divide rational numbers (such as distributive property, multiplicative inverse property, multiplicative identity, commutative property for multiplication, associative property for multiplication, etc.). 7.NS.2 Convert a rational number to a decimal using long division. 7.NS.2 Explain that the decimal form of a rational number terminates (stops) in zeroes or repeats. Make sense of problems and persevere in solving them. 7.NS.2abc Reason abstractly and quantitatively. 7.NS.1abcd, 7.NS.2ab, 7.NS.3 Construct viable arguments and critique the reasoning of others. Model with mathematics. 7.NS.1abcd, 7.NS.2ab Use appropriate tools strategically. Attend to precision. 7.NS.1abcd, 7.NS.2d, 7.NS.3 Look for and make use of structure. 7.NS.1abcd, 7.NS.2c College Readiness Standards: Basic Operations & Applications (BOA) BOA301- Solve routine one-step arithmetic problems (using whole numbers, fractions, and decimals) such as single-step percent. BOA302- Solve some routine two-step arithmetic problems. Numbers: Concepts & Properties (NCP) NCP301- Recognize one-digit factors of a number. NCP302- Identify a digit’s place value. Look for and express regularity in repeated reasoning. 7.NS.2cd Middle Grades Mathematics Planning Date: Aug. 17th-Aug. 19th Common Core #: 7.NS.1, 7.NS.3 Teachers: Grade: 7th 1 2 3 4 College Readiness: BOA301, BOA302 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. a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged. b. 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. c. 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. d. Apply properties of operations as strategies to add and subtract rational numbers. 7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. 1 1Computations with rational numbers extend the rules for manipulating fractions to complex fractions. Vocabulary: rational number, whole number, sum, difference, addend, subtrahend, minuend, additive inverse, inverse, additive identity, absolute value Standard with Code: Weekly Plan-1 Monday: NO SCHOOL!! Tuesday: NO SCHOOL!! Wednesday: Thursday: Assessments: X Multiple Choice Open Response Formative X Flashback, Exit Slips Assessment Technology: Slate, Overhead Projector, PowerPoint Presentations Intro Rules and Procedures Expectations “I Can” Statements Automaticity-define and intro Supply List Name Game Friday: Automaticity Practice Kahnacademy.org Practice with boards Review rules, procedures and expectations Assessment Description or Commentary Interventions: Students will receive modifications according to their IEPs. Flashbacks will be used as a daily re-teaching strategy to cover material most often missed from Learning Checks. Middle Grades Mathematics Planning Teachers Grade: 7th Date: Aug. 22nd- Aug. 26th Common Core #: 7.NS.1, 7.NS.2, 7.NS.3 1 2 3 4 College Readiness: BOA301, BOA302, NCP301 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. a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged. b. 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. c. 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. d. Apply properties of operations as strategies to add and subtract rational numbers. 7.NS.2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers. a. 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. b. Understand that integers can be divided provided that the divisor is not zero and every quotient of integers (with nonzero divisor) is a rational number. If p and q are integers, then –(p/q) = -p/q = p/-q. Interpret quotients of rational numbers by describing real-world contexts. c. Apply properties of operations as strategies to multiply and divide rational numbers. d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in zeroes or eventually repeats. 7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. 1 1Computations with rational numbers extend the rules for manipulating fractions to complex fractions. Vocabulary: rational number, whole number, terminating, repeating, numerator, denominator, sum, difference, addend, subtrahend, minuend, number line, additive inverse, inverse, additive identity, absolute value, factor, product, divisor, dividend, quotient, remainder, integer, negative integer, positive integer Standard with Code: Weekly Plan-2 Monday: Automaticity Diagnostic Test 7th Grade Diagnostic Test Tuesday: Examples of and Identify integers, fractions, decimals, percents, and pi 10 min: Automaticity 15 min: New Content Real number system (Rational and Irrational numbers) Graphic Organizer Wednesday: : Integers on the # line, comparing & ordering Integers, Absolute value & opposite Integers 6 min: Automaticity Thursday: Adding Integers Friday: Adding Integers 6 min: Automaticity 6 min: Automaticity 10 min: Flashback 10 min: Flashback 10 min: Flashback 8 min: Homework Review Integers on the # line, comparing & ordering Integers, Absolute value & opposite Integers 8 min: Homework Review Adding Integers 5 min: Real number system •Vocabulary= Frayer Model 8 min: Homework Review Integers on the # line, comparing & ordering Integers, Absolute value & opposite Integers 5 min: Post-it note activity 5 min: Homework 3 min: Exit Slip 15 min: New Content 2-1 and 2-2 Study Text and Resource Masters 8 min: Homework 15 min: New Content 2-4 Study Text and Resource Masters 8 min: Homework 15 min: New Content 2-4 Study Text and Resource Masters 8 min: Homework 3 min: Exit Slip 3 min: Exit Slip 3 min: Exit Slip Assessments: X Assessment Description or Commentary Multiple Choice X 10 multiple choice Open Response X 1 open response Formative X Flashback, Exit Slips Assessment Technology: Slate, Overhead Projector, PowerPoint Interventions: Students will receive modifications according to their IEPs. Presentations Flashbacks will be used as a daily re-teaching strategy to cover material most often missed from bi-weekly exams. Middle Grades Mathematics Planning Teachers: Grade: 7th Standard with Code: Date: Aug. 29th – Sept. 2nd Common Core #: 7.NS.1 1 2 3 4 College Readiness: BOA301,BOA302, NCP301 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. a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged. b. 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. c. 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. d. Apply properties of operations as strategies to add and subtract rational numbers. 7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. 1 1Computations with rational numbers extend the rules for manipulating fractions to complex fractions. Vocabulary: rational number, integer, sum, difference, addend, subtrahend, minuend, number line, additive inverse, inverse, additive identity, absolute value, negative integer, positive integer Weekly Plan-3 Monday: Sub. Integers Tuesday: Sub. Integers Wednesday: Sub. Integers Thursday: x Integers Friday: x,/ Integers 6 min: Automaticity 6 min: Automaticity 6 min: Automaticity 6 min: Automaticity 6 min: Mad Minute 8 min: Homework Review Adding Integers 8 min: Homework Review Sub. Integers 10 min: Review +/- integers Read “I can” statements 10 min: Review +/- integers 30 min: Bi-weekly #1 15 min: New Content 2-5 Study Text and Resource Masters Word problem practice 8 min: Homework Review Sub. Integers 8 min: Homework Review Sub. Integers 8 min: Homework Review x Integers Read “I can” statements 15 min: New Content 2-5 Study Text and Resource Masters Subtracting Integers *Method #1 “counters” *Method #2 “# line” *Method #3 “Rules 8 min: Homework 3 min: Exit Slip 10 min: Practice with boards (formative) 15 min: Homework Check retakes=Comparing & Ordering integers, adding integers, subtracting integers 8 min: Homework 3 min: Exit Slip 8 min: Homework (Pairs) 15 min: New Content Analogy of x,/ of integers rules Rules Practice on boards (formative) 8 min: Homework (pairs) 2-6 Study Text and Resource Masters 3 min: Exit Slip 3 min: Exit Slip Assessments: Multiple Choice Open Response Formative X X Flashback, Exit Slips Assessment Description or Commentary Assessment Technology: Slate, Overhead Projector, PowerPoint Interventions: Students will receive modifications according to their IEPs. Presentations Flashbacks will be used as a daily re-teaching strategy to cover material most often missed from bi-weekly exams. Middle Grades Mathematics Planning Teachers: Grade: 7th Date: Sept. 6th – Sept. 9th Common Core #: 7.NS.1, 7.NS.2, 7.NS.3 1 2 3 4 College Readiness: BOA301, BOA302,NCP301 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. a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged. b. 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. c. 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. d. Apply properties of operations as strategies to add and subtract rational numbers. 7.NS.2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers. a. 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. b. Understand that integers can be divided provided that the divisor is not zero and every quotient of integers (with nonzero divisor) is a rational number. If p and q are integers, then –(p/q) = -p/q = p/-q. Interpret quotients of rational numbers by describing real-world contexts. c. Apply properties of operations as strategies to multiply and divide rational numbers. d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in zeroes or eventually repeats. 7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. 1 1Computations with rational numbers extend the rules for manipulating fractions to complex fractions. Vocabulary: rational number, integer, sum, difference, addend, subtrahend, minuend, number line, additive inverse, inverse, additive identity, absolute value, factor, product, divisor, dividend, quotient, remainder negative integer, positive integer, commutative property, associative property, identity property, distributive property Standard with Code: Weekly Plan-4 Monday: x,/ Integers Tuesday: Review Integers Wednesday: Learning Check 6 min: Automaticity 6 min: Automaticity 6 min: Automaticity 20 min: Presentations 20 min: Learning Check 40 min: Group Presentation Posters (Students will work in groups of 3-4. They will be given a set of unique word problems dealing with integers. They will create a poster by 1. Writing each problem in own words. 2. Using and explain the method used to solve the problems. 3. Writing the solution in complete sentence.) -Rubric 20 min: Review game “The 5 min: Vocabulary (Frayer Model) Unfair Math Game” 3 min: Exit Slip Thursday: Place Value/ Rounding 6 min: Automaticity 6 min: Automaticity 10 min: Review Learning Check 8 min: CRCS review 8 min: CRCS review 10 min: New Content 10 min: New Content 3-3 6th Grade Study Text and ixl.com 3-3 6th Grade Study Text and ixl.com 10min: Homework 3 min: Exit Slip Friday: +/- Decimals 10 min: Flashback 8 min: Homework Review Place Value/ Rounding 15 min: New Content Glencoe course 1 Study Text 3-5 page 81 8 min: Homework Glencoe course 1 Studytext 3 min: Exit Slip 3 min: Exit Slip Assessments: X Assessment Description or Commentary Multiple Choice X 10 multiple choice Open Response X 1 open response Formative X Flashback, Exit Slips Assessment Technology: Slate, Overhead Projector, PowerPoint Interventions: Students will receive modifications according to their IEPs. Presentations Flashbacks will be used as a daily re-teaching strategy to cover material most often missed from bi-weekly exams. Middle Grades Mathematics Planning Teachers: Grade: 7th Standard with Code: Date: Sept. 12th – Sept. 16th Common Core #: 7.NS.1, 7.NS.2, 7.NS.3 1 2 3 4 College Readiness: BOA301, BOA302, NCP301, NCP302 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. a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged. b. 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. c. 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. d. Apply properties of operations as strategies to add and subtract rational numbers. 7.NS.2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers. a. 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. b. Understand that integers can be divided provided that the divisor is not zero and every quotient of integers (with nonzero divisor) is a rational number. If p and q are integers, then –(p/q) = -p/q = p/-q. Interpret quotients of rational numbers by describing real-world contexts. c. Apply properties of operations as strategies to multiply and divide rational numbers. d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in zeroes or eventually repeats. 7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers.1 1Computations with rational numbers extend the rules for manipulating fractions to complex fractions. Vocabulary: rational number, decimal, terminating, repeating, sum, difference, addend, subtrahend, minuend, number line, additive inverse, inverse, additive identity, absolute value, factor, product, place value, rounding Weekly Plan-5 Monday: +/- Decimals Tuesday: Mult. Decimals Wednesday: Mult. Decimals Thursday: Divide Decimals Friday: Divide Decimals 6 min: Automaticity 6 min: Automaticity 6 min: Automaticity 6 min: Automaticity 6 min: Automaticity 10 min: Flashback 10 min: Flashback 10 min: Flashback 10 min: Flashback 10 min: Flashback 8 min: Homework Review +/- Decimals 8 min: Homework Review +/- Decimals 8 min: Homework Review Mult. Decimals 8 min: Homework Review Mult. Decimals 8 min: Homework Review Divide Decimals 15 min: New Content Resource Materials 15 min: New Content 3-6 and 3-7: 6th Grade Study Text 15 min: New Content 3-6 and 3-7 6th Grade Study Text 15 min: New Content 3-8 and 3-9 6th Grade Study Text 15 min: New Content Resource Materials 8 min: Homework 8 min: Homework 8 min: Homework 3 min: Exit Slip 3 min: Exit Slip 3 min: Exit Slip 8 min: Homework 8 min: Homework 3 min: Exit Slip 3 min: Exit Slip Assessments: X Assessment Description or Commentary Multiple Choice Open Response Formative X Flashback, Exit Slips Assessment Technology: Slate, Overhead Projector, PowerPoint Interventions: Students will receive modifications according to their IEPs. Presentations Flashbacks will be used as a daily re-teaching strategy to cover material most often missed from bi-weekly exams. Middle Grades Mathematics Planning Teachers: Grade: 7th Date: Sept. 19th – Sept. 23rd Common Core #: 7.NS.1, 7.NS.2, 7.NS.3 1 2 3 4 College Readiness: BOA301, BOA302, NCP301, NCP302 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. a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged. b. 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. c. 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. d. Apply properties of operations as strategies to add and subtract rational numbers. 7.NS.2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers. a. 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. b. Understand that integers can be divided provided that the divisor is not zero and every quotient of integers (with nonzero divisor) is a rational number. If p and q are integers, then –(p/q) = -p/q = p/-q. Interpret quotients of rational numbers by describing real-world contexts. c. Apply properties of operations as strategies to multiply and divide rational numbers. d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in zeroes or eventually repeats. 7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers.1 1Computations with rational numbers extend the rules for manipulating fractions to complex fractions. Vocabulary: rational number, decimal, terminating, repeating, numerator, denominator, sum, difference, addend, subtrahend, minuend, number line, additive inverse, inverse, additive identity, absolute value, factor, product, divisor, dividend, quotient, remainder Standard with Code: Weekly Plan-6 Monday: Divide Decimals Tuesday: Learning Check 6 min: Automaticity Wednesday: Equiv. fractions/ simplifying fractions Thursday: Converting between mixed # & Improper fraction 6 min: Automaticity 10 min: Flashback 10 min: Flashback 6 min: Automaticity 6 min: Automaticity 8 min: Homework Review Divide Decimals 8 min: Homework Review Divide Decimals 10 min: Flashback 10 min: Flashback 8 min: Homework Review 8 min: Homework Review Equiv. fractions/ simplifying fractions 15 min: New Content 8 min: Homework Resource Materials 15 min: New Content 4-4 Resource Masters & 6th Grade 4-2 Study Text 3 min: Exit Slip 8 min: Homework Friday: Least Common Denominator 6 min: Automaticity 10 min: Flashback 15 min: New Content 4-3 6th Grade Study Text 8 min: Homework Review converting between mixed # & Improper fraction 15 min: New Content 4-8 Study Text 8 min: Homework 8 min: Homework 3 min: Exit Slip 3 min: Exit Slip 3 min: Exit Slip Assessments: X Assessment Description or Commentary Multiple Choice X 10 multiple choice Open Response X 1 open response Formative X Flashback, Exit Slips Assessment Technology: Slate, Overhead Projector, PowerPoint Interventions: Students will receive modifications according to their IEPs. Presentations Flashbacks will be used as a daily re-teaching strategy to cover material most often missed from bi-weekly exams. Middle Grades Mathematics Planning Teachers: Grade: 7th Standard with Code: Date: Sept. 26th – Sept. 30th Common Core #: 7.NS.1, 7.NS.2, 7.NS.3 1 2 3 4 College Readiness: BOA301, BOA302, NCP301 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. a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged. b. 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. c. 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. d. Apply properties of operations as strategies to add and subtract rational numbers. 7.NS.2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers. a. 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. b. Understand that integers can be divided provided that the divisor is not zero and every quotient of integers (with nonzero divisor) is a rational number. If p and q are integers, then –(p/q) = -p/q = p/-q. Interpret quotients of rational numbers by describing real-world contexts. c. Apply properties of operations as strategies to multiply and divide rational numbers. d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in zeroes or eventually repeats. 7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. 1 1Computations with rational numbers extend the rules for manipulating fractions to complex fractions. Vocabulary: rational number, fraction, integer, terminating, repeating, numerator, denominator, sum, difference, addend, subtrahend, minuend, number line, additive inverse, inverse, additive identity, absolute value, factor, product, mixed number, simplest form, like fractions, unlike fractions, greatest common factor, improper fractions Weekly Plan- 7 Monday: +/- Fractions Tuesday: +/- Fractions Wednesday: +/- Fractions Thursday: Mult. Fractions Friday: Mult. Fractions 6 min: Automaticity 6 min: Automaticity 6 min: Automaticity 6 min: Automaticity 6 min: Automaticity 10 min: Flashback 10 min: Flashback 10 min: Flashback 10 min: Flashback 10 min: Flashback 8 min: Homework Review Least Common Denominator 8 min: Homework Review +/- Fractions 8 min: Homework Review +/- Fractions 8 min: Homework Review +/- Fractions 8 min: Homework Review Mult. Fractions 15 min: New Content 5-2 & 5-3 Study Text 15 min: New Content 5-2 & 5-3 Study Text 15 min: New Content 5-2 & 5-3 Study Text 15 min: New Content 5-5 Study Text 15 min: New Content 5-5 Study Text 8 min: Homework 8 min: Homework 8 min: Homework 8 min: Homework 8 min: Homework 3 min: Exit Slip 3 min: Exit Slip 3 min: Exit Slip 3 min: Exit Slip 3 min: Exit Slip Assessments: Multiple Choice Open Response X Assessment Description or Commentary Formative X Flashback, Exit Slips Assessment Technology: Slate, Overhead Projector, PowerPoint Interventions: Students will receive modifications according to their IEPs. Presentations Flashbacks will be used as a daily re-teaching strategy to cover material most often missed from bi-weekly exams. Middle Grades Mathematics Planning Date: Oct. 3rd – Oct. 7th Common Core #: 7.NS.1, 7.NS.2, 7.NS.3 Teachers: Grade: 7th 1 2 3 4 College Readiness: BOA301, BOA302, NCP301 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. a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged. b. 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. c. 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. d. Apply properties of operations as strategies to add and subtract rational numbers. 7.NS.2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers. a. 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. b. Understand that integers can be divided provided that the divisor is not zero and every quotient of integers (with nonzero divisor) is a rational number. If p and q are integers, then –(p/q) = -p/q = p/-q. Interpret quotients of rational numbers by describing real-world contexts. c. Apply properties of operations as strategies to multiply and divide rational numbers. d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in zeroes or eventually repeats. 7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. 1 1Computations with rational numbers extend the rules for manipulating fractions to complex fractions. Vocabulary: rational number, fraction, integer, terminating, repeating, numerator, denominator, sum, difference, addend, subtrahend, minuend, number line, additive inverse, inverse, additive identity, absolute value, factor, product, mixed number, simplest form, like fractions, unlike fractions, greatest common factor, improper fractions, reciprocal, integer, negative integer, positive integer, opposites Standard with Code: Weekly Plan- 8 Monday: Divide Fractions Tuesday: Divide Fractions Wednesday: Fraction Review Thursday: comparing & ordering rational #s Friday: Converting between fractions & decimals 6 min: Automaticity 6 min: Automaticity 6 min: Automaticity 10 min: Flashback 10 min: Flashback 10 min: Flashback 8 min: Homework Review Mult. Fractions 8 min: Homework Review Divide Fractions 8 min: Homework Review Divide Fractions 15 min: New Content 15 min: New Content 15 min: New Content Kutasoftware.com 5-7 Study Text 5-7 Study Text 8 min: Homework 8 min: Homework 8 min: Homework 3 min: Exit Slip 3 min: Exit Slip 3 min: Exit Slip 6 min: Automaticity 6 min: Automaticity 10 min: Flashback 10 min: Flashback 8 min: Homework Review Fraction Review 8 min: Homework Review comparing & ordering rational #s 15 min: New Content 4-9 Study Text 8 min: Homework 3 min: Exit Slip 15 min: New Content 4-5 Study Text 8 min: Homework 3 min: Exit Slip Assessments: X Assessment Description or Commentary Multiple Choice Open Response Formative X Flashback, Exit Slips Assessment Technology: Slate, Overhead Projector, PowerPoint Interventions: Students will receive modifications according to their IEPs. Presentations Flashbacks will be used as a daily re-teaching strategy to cover material most often missed from bi-weekly exams. Middle Grades Mathematics Planning Teachers: Grade: 7th Standard with Code: Date: Oct. 10th – Oct. 13th Common Core #: 7.NS.1, 7.NS.2, 7.NS.3 1 2 3 4 College Readiness: BOA301, BOA302, NCP301, NCP302 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. a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged. b. 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. c. 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. d. Apply properties of operations as strategies to add and subtract rational numbers. 7.NS.2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers. a. 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. b. Understand that integers can be divided provided that the divisor is not zero and every quotient of integers (with nonzero divisor) is a rational number. If p and q are integers, then –(p/q) = -p/q = p/-q. Interpret quotients of rational numbers by describing real-world contexts. c. Apply properties of operations as strategies to multiply and divide rational numbers. d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in zeroes or eventually repeats. 7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers.1 1Computations with rational numbers extend the rules for manipulating fractions to complex fractions. Vocabulary: commutative property, associative property, identity property, distributive property, SEE PREVIOUS NINE WEEKS Weekly Plan- 9 Monday: Converting between fractions & decimals Tuesday: Learning Check Wednesday: Review for Final Thursday: Final Friday: Final (Test Analysis) 6 min: Automaticity 6 min: Automaticity 6 min: Automaticity 6 min: Automaticity 6 min: Automaticity 10 min: Flashback 10 min: Flashback 30 min: Flashback Resource Materials 8 min: Homework Review Converting between fractions & decimals 8 min: Homework Review Converting between fractions & decimals 8 min: Homework Study for Final 3 min: Exit Slip 15 min: New Content 4-5 Study Text 8 min: Homework 3 min: Exit Slip Assessments: Multiple Choice Open Response X X X Assessment Description or Commentary Formative X Flashback, Exit Slips Assessment Technology: Slate, Overhead Projector, PowerPoint Interventions: Students will receive modifications according to their IEPs. Presentations Flashbacks will be used as a daily re-teaching strategy to cover material most often missed from bi-weekly exams.