Algebra 1/Algebra 1 Honors - Lake County · Algebra 1/Algebra 1 Honors Exponential Decay ... I can...

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

Transcript of Algebra 1/Algebra 1 Honors - Lake County · Algebra 1/Algebra 1 Honors Exponential Decay ... I can...

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Algebra 1/Algebra 1 Honors

Exponential Functions and Equations

Unit 5 Dates Jan. 11- Feb. 5

Math Florida Standard(s):

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Algebra 1/Algebra 1 Honors

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Algebra 1/Algebra 1 Honors

Learning Goal:

Assessments Pre Assessment Springboard Formative Assessments Cornell Notes Collaborative Assignments Homework Exit Slips Summative Assessment

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Algebra 1/Algebra 1 Honors

Essential Question(s):

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)

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

Rational Number

Radical Expression

Radicand

Square Root

Cube Root

Fractional Exponents

Simplifying Radicals

Adding Radicals

Multiplying Radicals

Rationalizing the denominator

Dividing radicals

Exponential Functions

Exponential Growth

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Algebra 1/Algebra 1 Honors

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

I DO:

WE DO:

YOU DO:

Homework

EXIT TICKET: (5 minutes)

Tuesday Jan. 12 Properties of Exponents

DOK 2

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 Springboard (Activity 19), Textbook (Chapter 8) and Algebra Nation (Section 8).

BELL RINGER

( 5 Minutes)

I DO:

WE DO:

YOU DO:

Homework

EXIT TICKET:

(5 minutes)

Wednesday Jan. 13

Properties of Exponents

DOK 2

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 Springboard (Activity 19), Textbook (Chapter 8) and Algebra Nation (Section 8).

BELL RINGER

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Algebra 1/Algebra 1 Honors

( 5 Minutes)

I DO:

WE DO:

YOU DO:

Homework

EXIT TICKET: (5 minutes)

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)

I DO:

WE DO:

YOU DO:

Homework

EXIT TICKET: (5 minutes)

Friday Jan. 15 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)

I DO: WE DO:

You DO: Homework

EXIT TICKET: (5 minutes)

Monday Jan. 18 No School DOK 2 & 3

Martin Luther King, Jr. Day

Tuesday Jan. 19 Review for Mid-Term

DOK 1-4

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Algebra 1/Algebra 1 Honors

Daily Agenda

Daily Objective

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

BELL RINGER

( 5 Minutes)

I DO:

WE DO:

YOU DO:

Homework

EXIT TICKET:

(5 minutes)

Wednesday Jan. 20

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.

BELL RINGER ( 5 Minutes)

I DO:

WE DO:

YOU DO:

Homework

EXIT TICKET: (5 minutes)

Thursday Jan. 21 Mid-Term Exams DOK 1-4

Daily Agenda

Daily Agenda Students will demonstrate knowledge of Standards mastered thus far in Algebra 1 by taking the mid-term examination.

BELL RINGER (5 Minutes)

I DO:

WE DO:

YOU DO:

Homework

EXIT TICKET: (5 minutes)

Friday Jan. 22 Mid-Term Exams DOK 1-4

Daily Agenda

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Algebra 1/Algebra 1 Honors

Daily Objective Students will demonstrate knowledge of Standards mastered thus far in Algebra 1 by taking the mid-term examination.

BELL RINGER ( 5 Minutes)

I DO: WE DO:

You DO: Homework

EXIT TICKET: (5 minutes)

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)

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Algebra 1/Algebra 1 Honors

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 problem solve, or to complete a task/project

Reading Any strategies in reading that help students understand

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Algebra 1/Algebra 1 Honors

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.

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Algebra 1/Algebra 1 Honors

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.