7th Grade Unit 2 Expressions and Equations

Transcription

1 Standards in Unit 2: 7.EE.1, 7.EE.2, 7.EE.3, 7.EE.4a, 7.EE.4b Essential Standards in this Unit: 7.EE.3*, 7.EE.4a*, 7.EE.4b* 7th Grade Unit 2 Expressions and Equations Vocabulary for Unit 2: algebraic expression, coefficient, constant, equation, expression in expanded form, expression in factored form, expression in standard form, inequality, term, numerical expression, variable Professional Resources: Curriculum Frameworks, Description and Misconceptions for Georgia CCSS Curriculum Unit 2: Core/Common%20Core%20Frameworks/CCGPS_Math_7_7thGrade_Unit2SE.pdf Progressions Document for Common Core Grades 6-8 Expressions and Equations, especially pages 2-3 and Introduction to Expressions Explanations and Examples ccssmath.wikispaces.com/file/view/7th%20grade%20unit%204.pdf/ /7th%20grade%20unit%204.pdf Equations and Inequalities Explanations and Examples ccssmath.wikispaces.com/file/view/7th%20grade%20unit%206.pdf/ /7th%20grade%20unit%206.pdf Louisiana Grades 6-8 Guidebook Includes remediation topics, plans, tasks Excellent Resource! source/teacher- toolbox- resources/2014- math curriculum- guidebook.pdf?sfvrsn=8 Utah Middle School Math Curriculum - Instructional Resources: Georgia 7 th Grade Common Core Unit 2 Expressions and Equations Core/Common%20Core%20Frameworks/CCGPS_Math_7_7thGrade_Unit2SE.pdf Eureka Math (EngageNY) Module 3 Expressions and Equations Teacher Edition s/math- g7- m3- teacher- materials.pdf Download all materials for this module from this site: 7- mathematics- module- 3 Curriculum (Chapter 3 Expressions and Equations Part 1) Online Textbook 12 pages Curriculum Student Workbook (Chapter 3 Expressions and Equations Part 1) Teacher Edition with Explanations Curriculum Student Workbook (Chapter 3 Expressions and Equations Part 1) Student Edition 7 th Grade CCSS Unit 2 Compiled by Dr. Jeanne Glover 5/6/14, 1

2 Curriculum (Chapter 6 Real World Equations and Inequalities) Online Textbook pp Real World Equations and Inequalities) Teacher Edition with Explanations Real World Equations and Inequalities) Student Edition grade- wk- chp- 6- student- final1.pdf North Carolina CCSS Math Lessons for Learning, 7 th Grade Grade7.pdf/ /CCSSMathTasks- Grade7.pdf 7th Grade Unit 2 Expressions and Equations Standard Resources Problem or Task Georgia CCSS Unit 2 Expressions and Equations: These activities represent 7.EE.1 and 7.EE.2 Distributing and Factoring Area, pp. 8-9 Area and Algebra, pp Algebra Magic, pp Cluster: Use properties of operations to generate equivalent expressions. 7.EE.1 - Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. Equations Textbook: (7.EE.1 and 7.EE.2), pp Equations Part 1 Teacher and Student Workbook: Section 3.1 (7.EE.1 and 7.EE.2), pp Moby Max: Assign Lessons Evaluating Expressions (7.EE.1 and 7.EE.2) Task 1, p. 216 Eureka Math (EngageNY) Module 3 End- of- Module Assessment: Task 1, p. 358 Miles to Kilometers Equivalent Expressions? Writing Expressions Eureka Math (EngageNY) Module 4 Percent and Proportional Relationships End- of- Module Assessment: Perfect Pair Level D of- the- month/pom- perfectpair.pdf 7.EE.1 Add linear expressions 7.EE.1 Subtract linear expressions 7.EE.1 Factor linear expressions Problem 1, p. 2; Problem 16, p. 9; Problem 28, p. 15; 7 th Grade CCSS Unit 2 Compiled by Dr. Jeanne Glover 5/6/14, 2

3 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. For example, a a = 1.05a means that "increase by 5%" is the same as "multiply by 1.05." 7.EE.1 Expand linear expressions core- standards/7.ee.1- apply- properties- of- operations- as- strategies- to- add- subtract- factor- and Eureka Math (EngageNY) Module 3 Expressions and Equations: These lessons address 7.EE.1 and 7.EE.2. Lessons 1-6, pp EE.2 Understand equivalent forms of expressions in context core- standards/7.ee.2- understand- that- rewriting- an- expression- in- different- forms- in- a- problem Problem 38, p. 22 Problem p. 9 Task 12B, p. 25 Task 4a (7.EE.2 and 7.EE.4a), p. 218 Task 4b (7.EE.2 and 7.EE.4b Eureka Math (EngageNY) Module 3 End- of- Module Assessment: Task 2, p. 358 Ticket to Ride The Wheel Shop Level D of- the- month/pom- thewheelshop.pdf Problem 2, p. 2; Problem 44, p. 24 Problem p. 15 Task 13B, p th Grade CCSS Unit 2 Compiled by Dr. Jeanne Glover 5/6/14, 3

4 Cluster: 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 positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $ If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation. Georgia CCSS Unit 2 Expressions and Equations: Geology Rocks Equations, pp Deconstructing Word Problems, pp Eureka Math (EngageNY) Module 3 Expressions and Equations: Lessons 7-11, pp Equations Textbook: (7.EE.3 and 7.EE.4a), pp Equations Part 1 Teacher and Student Workbook: Sections 3.2 and 3.3 (7.EE.3 and 7.EE.4a), pp North Carolina CCSS Math Lessons for Learning, 7 th Grade: Number Tricks, pp Moby Max: Assign Lessons Solving Equations 7.EE.3 Solve multi- step problems with rational numbers core- standards/7.ee.3- solve- multi- step- real- life- and- mathematical- problems- posed- with- positive XPMath ( Converting per cents to decimals: 0% to 100% Task 2a (7.EE.3 and 7.EE.4a), p. 216 Task 2b (7.EE.3 and 7.EE.4a), p. 217 Task 3a, p. 217 Task 3c (7.EE.3 and 7.EE.4a), p. 217 Guess My Number Shrinking Discounted Books Who Is the Better Batter? Toy Trains core- math- tasks/7th- grade/7-2009%20toy%20trains.pdf Diminishing Return Level D of- the- month/pom- diminishingreturn.pdf Surrounded and Covered Level E of- the- month/pom- surroundedandcovered.pdf Problem 11, p. 7; Problem 22, p. 12; Problem 24, p. 13; Problem 48, p. 26; Problem 53, p. 28; Problem 56, p. 29 Problem p. 12; problem p th Grade CCSS Unit 2 Compiled by Dr. Jeanne Glover 5/6/14, 4

5 Converting per cents to decimals: 0% to 200% Converting Decimals to per cents: 0 to 1 Converting Decimals to per cents: 0 to 2 Solving Two- Step Equations Task 14B, p 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.4a - Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width? Real World Equations and Inequalities)Online Textbook: pp Real World Equations and Inequalities): Section 6.1 (OPTIONAL), pp Section 6.2, pp North Carolina CCSS Math Lessons for Learning, 7 th Grade: Four Column Solving, pp Sweet Algebra, pp EE.4 Solve two- step linear equations core- standards/7.ee.4a- solve- word- problems- leading- to- equations- of- the- form- px- - q- - r- and- px- Task 3b, p. 217; Task 6a, p. 220; Task 6b, p. 220; Task 6c, p. 220 Fishing Adventures Bookstore Account Circular Reasoning Level C of- the- month/pom- circularreasoning.pdf Courtney s Collection Level C of- the- month/pom- courtneyscollection.pdf Growing Staircases Level C of- the- month/pom- growingstaircases.pdf Measuring Mammals Level C of- the- month/pom- measuringmammals.pdf Measuring Up Level C of- the- month/pom- measuringup.pdf Miles of Tiles Level C of- the- month/pom- milesoftiles.pdf Once Upon a Time Level C of- the- month/pom- 7 th Grade CCSS Unit 2 Compiled by Dr. Jeanne Glover 5/6/14, 5

6 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.4b - Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific Georgia CCSS Unit 2 Expressions and Equations: Time and Video Games, pp Eureka Math (EngageNY) Module 3 Expressions and Equations: Lesson 12-15, pp Real World Equations and onceuponatime.pdf Squirreling It Away Level C of- the- month/pom- squirrelingitaway.pdf Tri- Triangles Level C of- the- month/pom- tritriangles.pdf What s Your Angle? Level C of- the- month/pom- whatsyourangle.pdf Perfect Pair Level C of- the- month/pom- perfectpair.pdf Problem 4, p. 4; Problem 55, p. 28 Problem p. 4; Problem p. 10 Task 15B, p. 29 Task 5a, p. 219 ; Task 5b, p. 219; Task 5c, p. 219 Sports Equipment Set Problem 8, p. 6; Problem 19, p. 11; Problem 27, p th Grade CCSS Unit 2 Compiled by Dr. Jeanne Glover 5/6/14, 6

7 rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions. Inequalities)Online Textbook: pp Real World Equations and Inequalities): Section 6.3, pp EE.4 Solve two- step linear inequalities core- standards/7.ee.4b- solve- word- problems- leading- to- inequalities- of- the- form- px- - q- - r- or- px- XPMath ( Inequality Wars Task 16B, p th Grade CCSS Unit 2 Compiled by Dr. Jeanne Glover 5/6/14, 7