Algebra 1/Algebra 1 Honors

Transcription

1 Exponential Functions and Equations Math Florida Standard(s): Unit 5 Dates Jan. 11- Feb. 5

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3 Learning Goal: Assessments Students will demonstrate how to compare rational exponents and radicals, and use various properties to combine terms with radicals and rational exponents Pre Assessment Springboard Formative Assessments Cornell Notes Collaborative Assignments Homework Exit Slips Summative Assessment Project Unit assessment Reflection

4 Essential Question(s): Progress Monitoring/ Feedback Loop Higher Order Question(s) Key Vocabulary How can rational exponents help combine radicals with unlike indices? If student has a low pre assessment or formative assessment, the teacher will monitor and possibly suggest before or after school tutoring to insure he is learning the unit adequately. If the student has a 70 or below on a quiz he can study more and retake it within a 7 day period for full credit. If the student has below a 70, the instructor will provide real time remediation What is the relationship between exponents and radicals? How do you know your answer is valid? Exponential Expression, Product of Powers property, Quotient of powers property, Density formula, Zero Powers, Negative Powers, Power of a Power Property, Power of a Product Property, Irrational Numbers, Radical Expression, Radicand,Square Root, Cube Root, Fractional Exponents, Simplifying Radicals, Adding Radicals, Multiplying Radicals, Rationalizing the denominator, Dividing radicals, Exponential Functions, Exponential Growth, Exponential Decay, Transformations of Exponential Functions Monday Jan. 11 Unpack the Standards DOK 2 & 3 Daily Objective Students will unpack the standards for the exponents unit and review the learning goal scale. BELL RINGER Create a circle map and state what you know about exponents and radicals WE DO: Students will divide up into groups and discuss the standards, then they will present the standard in simple language using a thinking map and a sentence or two. YOU DO: Participate in discussion of standards Fill out your unpacking paper Assess and Monitor your knowledge of the unit Homework Springboard Page 286 (1-10) What is the unit about? Tuesday Jan. 12 Exponent properties DOK 2 Daily Objective Students will learn properties of exponents including product of powers, quotient of powers using Springboard (Activity 19), Textbook (Chapter 8) and Algebra Nation (Section 8). BELL RINGER Fill out a tree map and explain how do you multiply and divide exponents? Collect Homework WE DO: Vocabulary Learning Scale: Which standard and I using? Think Pair Share Shoulder Partner/Face Partner Springboard 19.1 YOU DO: Monitor and assess yourself on the learning Scale

5 Homework Finish 19.1 EXIT TICKET: Let s look at the learning scale. Did you master anything today? If not Put it where you can find it for tomorrow. If you did gain mastery put the date beside the skill. Wednesday Jan. 13 Properties of Exponents DOK 2 Daily Objective Students will learn properties of exponents negative and zero exponents using Springboard (Activity 19), Textbook (Chapter 8) and Algebra Nation (Section 8). BELL Explain the product of power and the quotient of power rules using examples and words RINGER WE DO: Review Homework Vocabulary Learning Scale: Which standard and I using? Think Pair Share Shoulder Partner/Face Partner Springboard 19.2 YOU DO: Monitor and assess yourself on the learning Scale Homework Finish 19.2 Due Thurs Hand out Midterm review Due Tuesday EXIT TICKET: Let s look at the learning scale. Did you master anything today? If not Put it where you can find it for tomorrow. If you did gain mastery put the date beside the skill. Thursday Jan. 14 Properties of Exponents DOK 2 Students will review properties of exponents including product of powers, quotient of powers, power to a power, negative and zero exponents using Springboard (Activity 19), Textbook (Chapter 8) and Algebra Nation (Section 8). BELL RINGER Explain how to make a negative power positive (5 Minutes) WE DO: Review Homework Vocabulary Learning Scale: Which standard and I using? Think Pair Share Shoulder Partner/Face Partner Springboard 19.3 YOU DO: Monitor and assess yourself on the learning Scale Homework Finish 19.2 Hand out Midterm review Let s look at the learning scale. Did you master anything today? If not Put it where you can find it for tomorrow. If you did gain mastery put the date beside the skill Friday Jan. 15 Review for Mid-Term DOK 1-4 Daily Objective Students will show mastery on the exponent rules by an exponent review( Page ) in Springboard.

6 BELL RINGER Review Homework with your face partner WE DO: Discuss exponent rules You DO: Page Exponent Review Homework Finish Mid term exam Let s look at the learning scale. Did you master anything today? If not Put it where you can find it for tomorrow. If you did gain mastery put the date beside the skill Monday Jan. 18 No School DOK 2 & 3 Martin Luther King, Jr. Day Tuesday Jan. 19 Review for Mid-Term DOK 1-4 Daily Objective BELL RINGER I DO: WE DO: YOU DO: Homework EXIT TICKET: Students will review for mid-term exam by completing review packet using Kagan Strategies. List the most difficult problem on the review? Why is it difficult Assess and Monitor Exam Review Monitor yourself, Are you ready for the exam? Study What do I need to do to prepare for the exam? Jan. 20,21,22 Mid-Term Exams DOK 1-4 Daily Objective Students will demonstrate knowledge of Standards mastered thus far in Algebra 1 by taking the mid-term examination. Tuesday Jan. 26 Properties of Exponents DOK 1-4 Students will learn to express fractional exponents into radicals and radicals into fractional exponents. They will also learn to analyze them using Cornell Notes and Kutasoft.. BELL RINGER 5 sample problems (5 Minutes) I DO: Assign new groups Review Midterm WE DO: Cornell Notes Interchanging radicals into exponent form and analyzing them

7 Odds with your shoulder partner YOU DO: Monitor yourself on the learning scale Homework Evens How can you make a fractional exponent into a radical? Wednesday Jan 27 th Properties of Exponents DOK 1-4 Daily Objective Students will review properties of exponents including product of powers, quotient of powers, power to a power, negative and zero exponents using Scribe and Squire. BELL RINGER 10 sample problems, WE DO: Review Homework Scribe and squire Page 560 (6-28 all) You DO: Homework Divide a piece of paper into four sections. Explain and create an illustration of 3 of the properties. Then in the fourth box rate yourself on your knowledge of the exponential properties. Extra credit- Make them real world examples What can you tell me about the properties of exponents? Thursday Jan 28th Properties of Exponents DOK 1-4 Daily Objective Students will show mastery on exponent rules using Springboard assessment Page BELL RINGER 10 problems, Collect homework WE DO: Discuss bell ringer. You DO: Exponent quiz Homework None How did you do on the exponent rules quiz? Did you master the standards? Friday Jan 29 th Introduction to radicals DOK 1-4 Daily Objective Students will learn to simplify radicals using Cornell Notes. BELL RINGER Circle map of radicals WE DO: Cornell Notes Interchanging radicals into exponent form and analyzing them

8 Simplifying Radicals Odds with your shoulder partner You DO: Monitor yourself on the learning scale Homework Study up on simplifying radicals How do you simplify a radical? Illustrate and explain. Monday, February 1 st, 2016 Multiply Radicals DOK 2 Daily Objective Students will learn to multiply radicals using Cornell Notes. BELL RINGER Simplify 5 Radicals WE DO: Cornell Notes Multiplying Radicals Pg. 747 #3-21odds with your shoulder partner You DO: Monitor yourself on the learning scale Homework Pg. 747 #4-22 evens How do you multiply a radical? Illustrate and explain. Tuesday, February 2 nd, 2016 Adding and Subtracting Radicals DOK 2 Daily Objective Students will learn to add and subtract radicals using Cornell Notes. BELL RINGER 5 Radical Problems WE DO: Review Homework Cornell Notes Adding and Subtracting Radicals Pg. 747 #34-39 with your shoulder partner You DO: Monitor yourself on the learning scale Homework Practice Worksheet (Kuta Software) How do you add and subtract radicals? Illustrate and explain. Wednesday, February 3 rd, 2016 Dividing Radicals DOK 2 Daily Objective Students will learn to divide radicals using Cornell Notes. BELL RINGER 5 Radical Problems WE DO: Review Homework Cornell Notes Dividing Radicals (including rationalizing the denominator)

9 Pg. 747 #26-33 with your shoulder partner You DO: Monitor yourself on the learning scale Homework Practice Worksheet (Kuta Software) How do you divide radicals? Illustrate and explain. Thursday, February 4 th, 2016 Operations with Radicals DOK 2 Daily Objective Students will review operations with radicals using scribe and squire method. BELL RINGER 5 Radical Problems WE DO: Review Homework Scribe and Squire 11.2 Worksheet odds You DO: Monitor yourself on the learning scale Homework 11.2 Worksheet evens How do you perform operations with radicals? Illustrate and explain. Friday, February 5 th, 2016 Operations with Cube Roots DOK 3 Daily Objective Students will learn to perform operations with cube roots using Cornell Notes. BELL RINGER 5 Radical Problems WE DO: Review Homework Cornell Notes Operations with Cube Roots Pg. 752 #1-18 with your shoulder partner You DO: Monitor yourself on the learning scale Homework Have a great weekend. Study radical rules. How are operations with square roots and cube roots alike and different? Monday, February 8 th, 2016 Solving Radical Equations DOK 2 Daily Objective Students will learn to solve radical equations using Cornell Notes. BELL RINGER 5 Radical Problems WE DO: Cornell Notes Solving Radical Equations Pg. 756 #4-20 evens with your shoulder partner

10 You DO: Monitor yourself on the learning scale Homework Pg. 758 Ready to Go On? How do you solve radical equations? Illustrate and explain. Tuesday, February 9 th, 2016 Assess Radical Operations DOK 2 Daily Objective Students will demonstrate mastery of radical operations and solving radical equations (including cube roots) through a paper and pencil quiz. BELL RINGER Go over homework. WE DO: Discuss Radicals. You DO: Quiz. Homework None. Monitor Yourself on the Learning Scale. Wednesday, February 10 th, 2016 Intro to Exponential Growth and DOK 2 Decay Daily Objective Students will learn to identify geometric sequences through Algebra Nation. BELL RINGER Complete reflection on radicals and exponents unit. WE DO: Algebra Nation Notes Section 8 Video 1 You DO: Beat the Test Questions. Homework Write a summary of today s lesson and give at least two examples. Thursday, February 11 th, 2016 Real World Sequences DOK 2 Daily Objective Students will learn to identify and solve real-world examples of arithmetic and geometric sequences through Algebra Nation. BELL RINGER Review Beat the Test Questions. WE DO: Algebra Nation Notes Section 8 Video 2 You DO: Beat the Test Questions. Homework Write a summary of today s lesson and give at least two examples.

11 Friday, February 12 th, 2016 Exponential Functions DOK 2 Daily Objective Students will learn to identify and solve exponential functions through Algebra Nation. BELL RINGER Review Beat the Test Questions. WE DO: Algebra Nation Notes Section 8 Video 3 You DO: Beat the Test Questions. Homework Write a summary of today s lesson and give at least two examples. Tuesday, February 16 th, 2016 Graphs of Exponential Functions DOK 2 Daily Objective Students will learn to identify and analyze graphs of exponential functions through Algebra Nation. BELL RINGER Review Beat the Test Questions. WE DO: Algebra Nation Notes Section 8 Video 4 You DO: Beat the Test Questions. Homework Write a summary of today s lesson and give at least two examples. Wednesday, February 17 th, 2016 Exponential Growth and Decay DOK 2 Daily Objective Students will learn to identify exponential growth and decay through Algebra Nation. BELL RINGER Review Beat the Test Questions. WE DO: Algebra Nation Notes Section 8 Video 5 You DO: Beat the Test Questions. Homework Write a summary of today s lesson and give at least two examples. Thursday, February 18 th, 2016 Real World Exponential Functions DOK 2 Daily Objective Students will learn to identify and analyze real-world examples of exponential functions through Algebra Nation. BELL RINGER Review Beat the Test Questions.

12 WE DO: Algebra Nation Notes Section 8 Video 6 You DO: Beat the Test Questions. Homework Write a summary of today s lesson and give at least two examples. Friday, February 19 th, 2016 Transformations of Graphs of DOK 2 Exponential Functions Daily Objective Students will learn to transform graphs of exponential functions through Algebra Nation. BELL RINGER Review Beat the Test Questions. WE DO: Algebra Nation Notes Section 8 Video 7 You DO: Beat the Test Questions. Homework Write a summary of today s lesson and give at least two examples. Monday, February 22 nd, 2016 Review of Radicals, Exponents, and DOK 2 Exponential Functions Daily Objective Students will review concepts related to radicals, exponents, and exponential functions through Practice Worksheets. BELL RINGER 5 Quick Review Questions. WE DO: Rally Robin or Scribe and Squire Practice Worksheets You DO: Monitor Yourself on the Learning Scale. Homework Review Notes on Exponential Functions Tuesday, February 23 rd, 2016 Review of Exponential Functions DOK 2 Daily Objective Students will review concepts related to exponential functions through Algebra Nation Test Practice. BELL RINGER Review Beat the Test Questions.

13 WE DO: Log-In to Computer Lab and Go to Algebra Nation. You DO: Section 8 Practice Test. Homework Review Notes on Exponential Functions Level Date Learning Goal Scale Skill I can interpret expressions for exponential functions in real-world contexts; including interest formula and percent as rate of change. (F-IF.3.8.b and F-LE.2.5) I can compare situations that can be modeled by linear and exponential functions. (F-IF.3.8.b) I can compare rational exponents and radicals and use various properties to combine terms with radicals and rational exponents. (N-RN.2.3) I can use properties of exponents to transform and create equivalent expressions. (A-SSE.2.3.c) I can classify exponential functions as exponential growth or decay. (F-IF-3.8.b) I can rewrite expressions with radicals and rational exponents using properties of exponents. (N.RN.1.2) I can distinguish between situations that can be modeled with linear functions and with exponential functions. (F- LE.1.1) I can define radical notation represented by rational exponents. (N-RN.1.1) Writing Writing activities that help students understand the content WICR Strategies used during each unit. Inquiry Questioning strategies that help students understand the content Collaboration Working together with a partner or in a group of students to understand, to Reading Any strategies in reading that help students understand

14 Writing-to-Learn summaries Process writing using a rubric as evaluation On-demand/Timed writing writing that is completed in class within a set amount of time grade is evaluated using a rubric Cornell Notes taking notes on the most important information summarizing using the notes to study Reflective writing students write about what they have learned and what they still need Read directions for the student Check for understanding Allow to leave class for assistance Extra time for exams Daily agenda Higher level questioning in classes Costa s Level 1: Students find the answers right there in the text. Costa s Level 2: Students must figure out the answer from information in the text. Costa s Level 3: Students apply what they have learned or use what they have learned to evaluate or create. problem solve, or to complete a task/project Think Pair Share Sharing ideas with a partner or in a group Carousel/Gallery Walk Problem solving in groups Projects in groups Before reading activities vocabulary activities accessing prior knowledge making predictions During reading activities marking the text Cornell notes graphic organizers After reading strategies summarizing group projects Accommodations used daily on an individual basis in accordance with IEP and 504 plans and ELL Students Allow student time to step Extended time on Read Aloud to Students out to de-escalate assignments =1 day Visual manipulatives Testing in small groups Preferential seating Cooperative Learning, Use of a planner/binder for Written direction given Vocabulary, Description, organization Break directions into Introduction, English Language Dictionary chunks. Student Friendly Mathematical Practice Statements MAFS.K12.MP.1.1 Make sense of problems and persevere in solving them. Make a plan! Try different approaches when your problem is hard. Solve your problem in more than one way. Check whether your solution makes sense. MAFS.K12.MP.2.1 Reason abstractly and quantitatively. Explain the meanings of the numbers, words, pictures, symbols, and objects you and others use MAFS.K12.MP.3.1 Construct viable arguments and critique the reasoning of others. Explain both what to do and why it works. Work to make sense of others mathematical thinking. MAFS.K.12.MP.4.1 Model with mathematics. Apply math to real-world situations. Use models such as graphs, drawings, tables, symbols, numbers, and diagrams to solve problems. MAFS.K12.MP.5.1 Use appropriate tools strategically. Choose appropriate tools for your problem. Use mathematical tools correctly and efficiently. Estimate and use what you know to check the answers you find using tools. MAFS.K12.MP.6.1 Attend to precision. Communicate your mathematical thinking clearly and precisely. Use the level of precision you need for your problem. Be accurate when you count, measure, and calculate. MAFS.K12.MP.7.1 Look for and make use of structure.

15 Find, extend, analyze, and create patterns. Use patterns and structures to solve problems. MAFS.K12.MP.8.1 Look for and express regularity in repeated reasoning. Use patterns and structures to create and explain rules and shortcuts. Use properties, rules, and shortcuts to solve problems. Reflect on your thinking before, during, and after you solve a problem.