algebra 1/algebra 1 honors - lake.k12.fl.us · pdf filealgebra 1/algebra 1 honors ... 5 sample...

Algebra 1/Algebra 1 Honors

Exponential Functions and Equations

Unit 5 Dates Jan. 11- Feb. 5

Math Florida Standard(s):


Learning Goal: Students will demonstrate how to compare rational exponents and radicals, and use various properties to combine terms with radicals and rational exponents

Assessments Pre Assessment Springboard Formative Assessments Cornell Notes Collaborative Assignments Homework Exit Slips Summative Assessment Project Unit assessment Reflection


Essential

Question(s): How can rational exponents help combine radicals with unlike indices?

Progress Monitoring/

Feedback Loop

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

Higher Order

Question(s)

What is the relationship between exponents and radicals? How do you know your answer is valid?

Key Vocabulary

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 Agenda

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

I DO: Assess and Monitor

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)

EXIT TICKET: (5 minutes)

What is the unit about?

Tuesday Jan. 12 Exponent properties

DOK 2

Daily Agenda

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

( 5 Minutes)

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


Homework Finish 19.1

EXIT TICKET:

(5 minutes)

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 Agenda

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 RINGER ( 5 Minutes)

Explain the product of power and the quotient of power rules using examples and words


WE DO: Review Homework

Vocabulary


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


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

Daily Agenda

Daily Agenda 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 (5 Minutes)

Explain how to make a negative power positive

I DO: Assess and Monitor WE DO: Review Homework

Vocabulary


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 Agenda

Daily Objective Students will show mastery on the exponent rules by an exponent review( Page 297-298) in Springboard.



Review Homework with your face partner

I DO: Assess and Monitor WE DO: Discuss exponent rules

You DO: Page 297-298 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 Agenda

Daily Objective

Students will review for mid-term exam by completing review packet using Kagan Strategies.

BELL RINGER

( 5 Minutes)

List the most difficult problem on the review? Why is it difficult


WE DO: Exam Review

YOU DO: Monitor yourself, Are you ready for the exam?

Homework Study

EXIT TICKET:

(5 minutes)

What do I need to do to prepare for the exam?

Jan. 20,21,22 Mid-Term Exams

DOK 1-4

Daily Agenda

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

Daily Agenda

Daily Agenda 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 Minutes)

5 sample problems

I DO: Assign new groups

Review Midterm

WE DO: Cornell Notes –Interchanging radicals into exponent form and analyzing them


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 27th Properties of Exponents DOK 1-4

Daily Agenda

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.


10 sample problems

I DO: Assess and Monitor, WE DO: Review Homework

Scribe and squire Page 560 (6-28 all) You DO: Monitor yourself on the learning scale.

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 Agenda

Daily Objective Students will show mastery on exponent rules using Springboard assessment Page 297-298


10 problems

I DO: Assess and Monitor,

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 29th Introduction to radicals DOK 1-4

Daily Agenda

Daily Objective Students will learn to simplify radicals using Cornell Notes.


Circle map of radicals


WE DO: Cornell Notes –Interchanging radicals into exponent form and analyzing them


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 1st, 2016 Multiply Radicals DOK 2

Daily Agenda

Daily Objective Students will learn to multiply radicals using Cornell Notes.


Simplify 5 Radicals


WE DO: Cornell Notes – Multiplying Radicals

Pg. 747 #3-21odds with your shoulder partner


Homework Pg. 747 #4-22 evens


How do you multiply a radical? Illustrate and explain.

Tuesday, February 2nd, 2016 Adding and Subtracting Radicals DOK 2

Daily Agenda

Daily Objective Students will learn to add and subtract radicals using Cornell Notes.


5 Radical Problems



Cornell Notes – Adding and Subtracting Radicals

Pg. 747 #34-39 with your shoulder partner


Homework Practice Worksheet (Kuta Software)


How do you add and subtract radicals? Illustrate and explain.

Wednesday, February 3rd, 2016 Dividing Radicals DOK 2

Daily Agenda

Daily Objective Students will learn to divide radicals using Cornell Notes.


5 Radical Problems



Cornell Notes – Dividing Radicals (including rationalizing the denominator)




Homework Practice Worksheet (Kuta Software)


How do you divide radicals? Illustrate and explain.

Thursday, February 4th, 2016 Operations with Radicals DOK 2

Daily Agenda

Daily Objective Students will review operations with radicals using scribe and squire method.


5 Radical Problems



Scribe and Squire

11.2 Worksheet odds


Homework 11.2 Worksheet evens


How do you perform operations with radicals? Illustrate and explain.

Friday, February 5th, 2016 Operations with Cube Roots DOK 3

Daily Agenda

Daily Objective Students will learn to perform operations with cube roots using Cornell Notes.


5 Radical Problems



Cornell Notes – Operations with Cube Roots



Homework Have a great weekend. Study radical rules.


How are operations with square roots and cube roots alike and different?

Monday, February 8th, 2016 Solving Radical Equations DOK 2

Daily Agenda

Daily Objective Students will learn to solve radical equations using Cornell Notes.


5 Radical Problems


WE DO: Cornell Notes – Solving Radical Equations

Pg. 756 #4-20 evens with your shoulder partner



Homework Pg. 758 Ready to Go On?


How do you solve radical equations? Illustrate and explain.

Tuesday, February 9th, 2016 Assess Radical Operations DOK 2

Daily Agenda

Daily Objective Students will demonstrate mastery of radical operations and solving radical equations (including cube roots) through a paper and pencil quiz.


Go over homework.


WE DO: Discuss Radicals.

You DO: Quiz.

Homework None.


Monitor Yourself on the Learning Scale.

Wednesday, February 10th , 2016 Intro to Exponential Growth and Decay

DOK 2

Daily Agenda

Daily Objective Students will learn to identify geometric sequences through Algebra Nation.


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.


Monitor yourself on the learning scale.

Thursday, February 11th, 2016 Real World Sequences DOK 2

Daily Agenda

Daily Objective Students will learn to identify and solve real-world examples of arithmetic and geometric sequences through Algebra Nation.


Review Beat the Test Questions.








Friday, February 12th, 2016 Exponential Functions DOK 2

Daily Agenda

Daily Objective Students will learn to identify and solve exponential functions through Algebra Nation.









Tuesday, February 16th, 2016 Graphs of Exponential Functions DOK 2

Daily Agenda

Daily Objective Students will learn to identify and analyze graphs of exponential functions through Algebra Nation.









Wednesday, February 17th, 2016 Exponential Growth and Decay DOK 2

Daily Agenda

Daily Objective Students will learn to identify exponential growth and decay through Algebra Nation.









Thursday, February 18th, 2016 Real World Exponential Functions DOK 2

Daily Agenda

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.


( 5 Minutes)







Friday, February 19th, 2016 Transformations of Graphs of Exponential Functions

DOK 2

Daily Agenda

Daily Objective Students will learn to transform graphs of exponential functions through Algebra Nation.









Monday, February 22nd, 2016 Review of Radicals, Exponents, and Exponential Functions

DOK 2

Daily Agenda

Daily Objective Students will review concepts related to radicals, exponents, and exponential functions through Practice Worksheets.


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 23rd, 2016 Review of Exponential Functions DOK 2

Daily Agenda

Daily Objective Students will review concepts related to exponential functions through Algebra Nation Test Practice.

BELL RINGER Review Beat the Test Questions.


( 5 Minutes)


WE DO: Log-In to Computer Lab and Go to Algebra Nation.

You DO: Section 8 Practice Test.

Homework Review Notes on Exponential Functions



Learning Goal Scale Level Date Skill

4 □ 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)

3

□ 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)

2

□ 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)

1

□ 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)

WICR Strategies used during each unit. Writing Writing activities that help students understand the content

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


problem solve, or to complete a task/project

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

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.

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 Read directions for the

student

Check for understanding

Allow to leave class for assistance

Extra time for exams

Daily agenda

Allow student time to step out to de-escalate

Testing in small groups

Use of a planner/binder for organization

English Language Dictionary

Extended time on assignments =1 day

Preferential seating

Written direction given

Break directions into chunks

Read Aloud to Students

Visual manipulatives

Cooperative Learning,

Vocabulary, Description, Introduction,

.

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.


• 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.

algebra 1/algebra 1 honors - lake.k12.fl.us · pdf filealgebra 1/algebra 1 honors ... 5 sample...

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