Algebra I
 2022-2023

"There is a difference between not knowing and not knowing YET."   
                                                                         
Sheila Tobias

  In this classroom, we believe in the power of YET



Class Summaries:   RED - red block classes; BLACK - black block classes; BLUE - Short Wednesday - all classes. 
This year all Algebra I classes are RED block.

Date Description
Aug 22nd-23rd Back-to-School Days
Will be discussing syllabus: class outline, grading, needed supplies...
Wed, Aug 24th First Day of Class:
Caching Activity in Table Groups
Thur, Aug 25th Let's look at the MATHbook...

Lesson 0:  A Meeting of the Minds: An Introduction to MATHbook and Your Learning Resources (starts on page FM-11)
     As of 3:30 on Wednesday, I did not have access to MATHia 
     (will put of the MATHia Getting Started workspace until next week)

Complete and Discuss
 - Getting Ready for Module 1: Searching for Patterns (pg 2 in MathBook)
     - ReadyCheck (On Canvas.  Answer on paper.  No Calculator!)
Mon, Aug 29th First half of period (in MATHbook):
Module 1: Searching for Patterns
Topic 1: Quantities and Relationships
Lesson 1: A Picture is Worth a Thousand Words: Understanding Quantities and Their Relationships pp 3-16

Second half of period (will need computers and earbuds):
MATHia: Getting Started and MATHia: Identifying Quantities
Wed, Aug 31st Make sure MATHia is finished: MATHia: Getting Started and MATHia: Identifying Quantities: Unit 1 Workspace 1 (Searching for Patterns: 1 of 16)
Thur, Sept 1 1.1.1 5-minute quiz
Module 1: Searching for Patterns
Topic 1: Quantities and Relationships
Lesson 2:  A Sort of Sorts:  Analyzing and Sorting Graphs  pp 17-30
Mon, Sept 5th No School - Labor Day
Wed, Sept 7th and Thur, Sept 8th

Look at 1.1.2 assignment - go over any questions
1.1.2 5-minute quiz

Module 1: Searching for Patterns
Topic 1: Quantities and Relationships
Lesson 3: F of X: Recognizing Functions and Function Families pp 31-52

Assignment: p 51-52.  Quiz on Monday. 

This one will probably take more than one class day.
Mon, Sept 12th   1.1.3 - 5 minute quiz

MATHia - 4 Workspaces:
Interpreting Function Notation: Unit 2 Workspace 1 (Searching for Patterns: 2 of 16);
Identifying Domain and Range: Unit 2 Workspace 2(Searching for Patterns: 3 of 16);
Identifying Key Characteristics of Graphs of Functions: Unit 2 Workspace 3 (Searching for Patterns: 4 of 16);
Introduction to Function Families: Unit 2 Workspace 4(Searching for Patterns: 5 of 16) . 

Study for Test One on Wednesday!  Study MATHbook Lessons 1-3 and Review MATHia Units 1-2.  Mixed Practice End of Topic Review could be helpful - can find on pp 63-64 in your MATHbook OR on Canvas if you forget your book.  
Wed, Sept 14th TEST 1 - can use notes, calculator, no computer. 
Follow directions carefully!

After Test: do MATHbook pp 53-54
Thur, Sept 15th Module 1: Searching for Patterns
Topic 1: Quantities and Relationships
Lesson 4:  Function Families for 200, Alex: Recognizing Functions by Characteristics pp 53-62

Intro and Getting Started
Video One
Activity 1
Video Two
Activity Two
Skip Talk the Talk
Assignment: pp 61-62 All parts except the "Stretch"

If time at end of period, a few students need to finish Test and/or Mathia workspaces
 
Mon, Sept 19th 1.1.4 5-Min Quiz

MAA Survey - 5 min

Module 1: Searching for Patterns
Topic 2: Sequences
Lesson 1: Is There a Pattern Here?: Recognizing Patterns and Sequences pp 65-78

Intro
Skip Getting Started
Video
Activity 1
Activity 2
Assignment: Skip Journal- do the rest pp 77-78
Wed, Sept 21st Activity 2 from Monday
Finish Assignment and then
MATHia: Describing Patterns in Sequences (Unit 3 Workspace 1)

Bring earbuds/headphones for tomorrow. 
Thur, Sept 22nd Mrs. Zubke is absent.  Student directions for the day are on Canvas. The substitute will hand out paper copies of the directions.

Module 1: Searching for Patterns
Topic 2: Sequences
Lesson 2: The Password Is...Operations!: Arithmetic and Geometric Sequences pp 79-108
Mon, Sept 26th 1) SET
2) Go over Topic 1 Test
3) Finish work from Thursday (if you did not finish already)
4) MATHia: Graphs of Sequences (Unit 3 Workspace 2)
Wed, Sept 28th 1) SET
2) Look at/check 97-106
3) Discuss how subtract is really addition - Arithmetic sequences are addition (common differences: how find from a sequence) and how divide is really multiplication - Geometric sequences are multiplication (common ratios: how find from a sequence)
4) Go over 1.2.1 and 1.2.2 Assignment pages
5) 1.2.1 and 1.2.2 Quiz(zes)
Thur, Sept 29th 5th period:
1) SET
2) Module 1: Searching for Patterns
Topic 2: Sequences
Lesson 3: Did you mean Recursion?: Determining Recursive and Explicit Expressions from Contexts pp 109-120


7th period:
1) Look at/check 97-106
2) Discuss how subtract is really addition - Arithmetic sequences are addition (common differences: how find from a sequence) and how divide is really multiplication - Geometric sequences are multiplication (common ratios: how find from a sequence)
3) Go over 1.2.1 and 1.2.2 Assignment pages (77-78 and 107-108)
4) 1.2.1 and 1.2.2 Quiz
5) Module 1: Searching for Patterns
Topic 2: Sequences
Lesson 3: Did you mean Recursion?: Determining Recursive and Explicit Expressions from Contexts pp 109-120
(skip pp 113, 117, 118)
Assign: pp 119-120 practice problems 1 and 2; try stretch problems 1 and 2.
Mon, Oct 3rd 1) MATHia: Writing Recursive Formulas (Unit 3 Workspace 3)
2) MATHia: Writing Recursive Formulas to Model Sequence Situations (Unit 3 Workspace 4)
3) MATHia: Writing Explicit Formulas (Unit 3 Workspace 5)
4) MATHia: Writing Explicit Formulas to Model Sequence Situations (Unit 3 Workspace 6)
Wed, Oct 5th 1) SET/BAGELS
2) Go over 1.2.3 Assignment pages
3) 1.2.3 Quiz
4) Finish MATHia (all of Unit 4)
5) Study for Test next Wednesday (MATHbook Topic 2 Lessons 1-3 and MATHia Unit 3 Workspaces 1-6)
     - may be helpful to do the End-of-Topic Review on page 134
Thur-Fri,
Oct 6th and 7th
NO SCHOOL - STAFF DEVELOPMENT
Oct 10th NO SCHOOL - NATIVE AMERICAN DAY
Wed, Oct 12th Test over MATHbook Topic 2 Lessons 1-3 and MATHia Unit 3 Workspaces 1-6
Thur, Oct 13th

Module 1: Searching for Patterns
Topic 3: Linear Regressions
Lesson 1: Like a Glove: Least Squares Regressions

  • Intro and Review p 135
  • Getting Started - Frozen Yogurt p 136
  • Activity 1: A Line of Best Fit pp137-139
  • Video One (about halfway through this activity)
  • Skip pp 140-141
  • Video two (before starting Activity 2)
  • Activity 2: Making Predictions Within and Outside a Data Set pp 142-143
  • Skip p 144
  • Assignment: p 145 Practice Problem Only
Mon, Oct 17th Skills Practice - More practice creating and using linear regression equations (without and with technology)

MATHia: Unit 5
MATHia • Workspace 1 Exploring Linear Regression
MATHia  • Workspace 2 Using Linear Regression
Wed, Oct 19th Quiz 1.3.1

Start 1.3.2 if time allows
Thur, Oct 20th Module 1: Searching for Patterns
Topic 3: Linear Regressions
Lesson 2: Gotta Keep it Correlatin': Correlation
    - Intro and Review - pg 147
    - Getting Started - pg 148
    - Video #1 would go here (will not watch in class)
    - Activity 1: The Correlation Coefficent pp 149-150
    - Activity 2: Is It Linear pp 151-152
    - Skip p 153
    - Watch Video #2
    - Activity 4: Correlation vs. Causation pp 154-157
    - Skip p 158
    - Assignment: pp 159-160 Practice 1-3


Mon, Oct 24th Finish Lesson 2, as needed, from last Thursday

MATHia Connection • Interpreting Lines of Best Fit
MATHia Connection • Correlation and Causation
MATHia Connection - Analyzing Residuals of Lines of Best Fit (not graded)

Review for test over 1.3.1 and 1.3.2 and related MATHia sites
pp 185-186 problems 1-7
Wed, Oct 25th 1.3.1/1.3.2 Test
   
Mon, Oct 31st and Thur, Nov 3rd Look at 1.3.1/1.3.2 Test

Module 2: Exploring Constant Change
Topic 1: Linear Functions
Lesson 1: Connecting the Dots: Making Connections Between Arithmetic Sequences and Linear Functions

     - Intro and Review p 189
     - Getting Started p 190
     - Video 1
M2T1 Lesson 1 Video #1
     - Activity 1: Connecting Forms pp 191-195
Start here on Thursday
     - Activity 2: Verifying that Slope is Constant pp 196-197
     - Video 2:
M2T1 Lesson 1 Video #2
     - Activity 3: Analyzing Tables of Values pp 198-199
     - Assignment: pp 201-202 Practice 1 and 2

MATHia: Unit 1 Workspace 1 Writing Sequences as Linear Functions
MATHia: Unit 1 Workspace 2 Understanding Linear Forms
MATHia: Unit 1 Workspace 3 Equal Differences Over Equal Intervals
Fri, Nov 4th No School - PT Conferences
Mon, Nov 7th, Wed, Nov 9th. Thur, Nov 10th 2.1.1 Quiz

Module 2: Exploring Constant Change
Topic 1: Linear Functions
Lesson 2:
Fun with Functions, Linear Ones: Making Sense of Different Representations of a Linear Function

     - Intro and Review p 203
     - Getting Started p 204*
     - Activity 1: Interpreting Linear Functions pp 205-206*
     - M2T1 Lesson 2 Video #1
     - Activity 2: Interpreting Graphs of Linear Functions pp 207-209*
     - M2T1 Lesson 2 Video #2
     - Activity 3: Interpreting Changes to the Graphs of Linear Functions pp 211- 213*
     - Activity 4: Interpreting More Changes to the Graphs of Linear Functions pp 214-215 (SKIP)
     - Talk The Talk pp 216-218*
     - Assignment: Journal and Practice pp 219-220
    
MATHia: Unit 2 Workspace 1 Multiple Representations of Linear Equations
MATHia: Unit 2 Workspace 2 Modeling Linear Relationships Using Multiple Representations
Mon, Nov 14th 2.1.2 Quiz

Module 2: Exploring Constant Change
Topic 1: Linear Functions
Lesson 3: Get Your Move On: Transforming Linear Functions

     - Intro and Review p 221
     - Getting Started pp 222-223 (SKIP)*
     - M2T1 Lesson 3 Video #1
       -
M2T1 Lesson 3 Video #2
     - Activity 1: Vertical Translations of Functions pp 224-226*
     - Activity 2: Vertical Dilations of Functions pp 227-229*
     - Activity 3: Vertical Dilations and Vertical Translations of Functions pp 230-231*
     - Activity 4: Applying Linear Function Transformations pp 232-233(SKIP)
     - Talk the Talk p 234(SKIP)
     - Assignment: Journal and Practice pp 235-236

Alternate Lesson: Desmos and Linear Transformations (Vertical Dilations and Translations)
    - Explore together with Linear Functions - Transformations
    - then, LAB: Linear Transformations
Wed, Nov 16th MATHia: Unit 3 Workspace 1 Exploring Graphs of Linear Functions
MATHia: Unit 3 Workspace 2 Vertically Translating Linear Functions
MATHia: Unit 3 Workspace 3 Vertically Dilating Linear Functions
MATHia: Unit 3 Workspace 4 Multiple Transformations of Linear Functions

When done with MATHia - try to finish LAB: Linear Transformations from Monday
Thur, Nov 17th Go over LAB: Linear Transformations - Using Desmos
2.1.3 Quiz
Finish MATHia from Wednesday
Mon, Nov 21st Module 2: Exploring Constant Change
Topic 1: Linear Functions
Lesson 4: Connect Four: Comparing Linear Functions of Different Forms

     - Intro and Review p 237
     - Getting Started p 238*
     -
M2T1 Lesson 4 Video
     - Activity 1: Comparing Tables and Graphs p 239*
     - Activity 2: Comparing Tables and Equations p 240*
     - Activity 3: Comparing Descriptions and Graphs p 241*
     - Talk the Talk p 242 (SKIP)
     - Assignment: Practice only pp 243-244

MATHia: Unit 4 Workspace 1 Comparing Linear Functions in Different Forms

Module 2 Topic 1 Take-home Test - due Mon, Nov 28th.  If you forget your mathbook, the keys for each section are in Canvas under Files.  There are also videos for each lesson if you need a review.

Wed, Nov 23rd- Fri, Nov 25th NO SCHOOL - THANKSGIVING BREAK
Mon, Nov 28th Module 2: Exploring Constant Change
Topic 2: Solving Linear Equations and Inequalities
Lesson 1: Strike a Balance - Solving Linear Equations
     -
Intro and Review p 247
     - Equation Creation p 248 (on boards)
     -
M2T2 Lesson 1 Video
     - Activity 1: Using Properties to Justify Solutions pp 249-250
     - Activity 2: Solutions to Linear Equations pp251-252
     -
Activity 3: Tic-Tac-Bingo pp 253 (SKIP)
     - Talk-the-Talk p 254
     - Assignment: pp 257-258 (skip Journal - do the rest)

MATHia: Reasoning About Solving Equations (UN 5 WS 1)
MATHia: Solving Linear Equations in a Variety of Forms (UN 5 WS 2)
Wed, Nov 30th Module 2: Exploring Constant Change
Topic 2: Solving Linear Equations and Inequalities
Lesson 2: It's Literally About Literal Equations
     -
Intro and Review p 259
     -
Getting Started p 260 (SKIP)
     - M2T2 Lesson 2 Video #1
     - Activity 1: Equations in Different Forms pp 261-262
     -
M2T2 Lesson 2 Video #2
     - Activity 2: Rewriting Literal Equations pp 263-265
     -
Activity 3: Solving Literal Equations for Specific Variables pp 266-267 (SKIP)
     - Talk the Talk p 268
     - Assignment: pp 269-270 (All)
Thur, Dec 1st MATHia: Extending equations to Literal Equations (UN 5 WS 3)
MATHia: Solving Literal Equations (UN 5 WS 4)
Mon, Dec 5th Module 2: Exploring Constant Change
Topic 2: Solving Linear Equations and Inequalities
Lesson 3: Not all Statements are Made Equal: Modeling Linear Inequalities
     - Intro and Review p 271
     -
M2T2 Lesson 3 Video #1 -goes with Getting Started AND Activity 1
     - Getting Started p 272
     - Activity 1: Modeling Linear Inequalities pp 273-275
     - Activity 2: Solving Two-Step Linear Inequalities pp 276-277
     -
M2T2 Lesson 3 Video #2
     - Activity 3: Reversing Inequality Signs pp 278-279
     -
Activity 4: Solving Other Linear Inequalities pp 280-281
     -
Talk the Talk p 282
     - Assignment: pp 283-284 Skip Journal
Wed, Dec 7th MATHia: Graphing Inequalities with Rational Numbers (UN 6 WS 1)
MATHia: Solving Linear Inequalities (UN 6 WS 2)
 Thur Dec 8th Module 2: Exploring Constant Change
Topic 2: Solving Linear Equations and Inequalities
Lesson 4: D
on't Confound Your Compounds: Solving and Graphing Compound Inequalities
     - Intro and Review p 285
     - Getting Started p 286
     -
M2T2 Lesson 4 Video #1
     - Activity 1: Writing Compound Inequalities pp287-288
     - Activity 2: Problems with More than One Solution pp 289-290
     -
M2T2 Lesson 4 Video #2
     - Activity 3: Solving Compound Inequalities pp 291-293
     - Activity 4: Solving Inequalities in Compact Form pp 294-295
     - Talk the Talk p 296
     - Assignment pp 297-298 (all)
MATHia: Representing Compound Inequalities (UN 6 WS 3)
Mon, Dec 12th

Module 2 Topic 2 Test on Wednesday
To Do: 

  1. Make sure all MATHia is done through workspace UN 6 WS 3 (17 of 40)
  2. Make sure you have done and checked all assignments:
         - pp 257-258; pp 269-270; pp 283-284; pp 297-298
         - review these assignments as needed
  3. Do the Mixed Practice review on pages 299-300
Wed, Dec 14th Test #5 over Module 2 Topic 2  SNOW DAY!
Thur, Dec 15th Module 2 Topic 3 Lesson 1 and Mathia  SNOW DAY!
Mon, Dec 19th - Tues, Jan 3rd NO SCHOOL - WINTER BREAK
Thur, Jan 5th Test #5 over Module 2 Topic 2
Mon, Jan 9th

Wed, Jan 11th
Module 2: Exploring Constant Change
Topic 3: Systems of Equations and Inequalities
Lesson 1: Double the Fun: Introduction to Systems of Equations
     - Intro and Review p 301
     -
Video 1
     - Getting Started p 302
     - Activity 1: Analyzing the Graph of an Equation in Standard Form  pp 303-305
     - Activity 2: Determing the Solution to a System of Linear Equations  pp 306-307
     -
Video 2
     - Activity 3: Systems with No Solution, One Solution, or an Infinite Number of Solutions pp 308-313
     - Talk the Talk p 314
     - Assignment pp 315-316 (practice, try stretch)

Wed: Quiz over finding x and y-intercepts and graphing
Then, notes over the substitution method.


**x and y-intercepts, graphing method, substitution method (Wed)

Thurs, Jan 12th MATHia: Representing Systems of Linear Functions  UN7 WS1
MATHia: Review of Modeling Linear Systems Involving Integers UN7 WS 2
MATHia: Solving Linear Systerms Using Substitution UN 7 WS 3

Make sure substitution worksheet is done
FRIDAY
JAN 13th
END OF SEMESTER ONE
Mon, Jan 16th No School - Martin Luther King Jr. Day
Wed, Jan 18th Grade: Substitution worksheet - go over any issues
Practice: p 316 Story Problem
2.3.1 Quiz - graphing and substitution methods of solving systems of linear equations

Module 2: Exploring Constant Change
Topic 3: Systems of Equations and Inequalities
Lesson 2: The Elimination Round: Using Linear Combinations to Solve a System of Linear Equations
     - Intro and Review p 317
     - Getting Started p 318 (determine our two equations and solve using substitution)
     - Video 1 - watch through Files module on Canvas
            - ex prob 1 is 5b on page 320, can write ex probs 2-3 anywhere on page 320, do prob 5a on page 320 after video
     - Act 1: Combining Linear Systems pp 319-320
     - Act 2: Using Additive Inverses to Combine Linear Systems pp 321-323
             - discuss worked examples
             - divide up pp 322-323 to set up AND solve
     -
Video 2 - watch through Files module on Canvas
     - Act 3: Applying the Linear Combinations Method pp 324-325 (do as written)
     - Act 4: Fractions and Linear Combinations pp 326-327 (do as written)
     - Talk the Talk p 328
     - Assignment pp 329-330 (practice, try stretch)

**linear combinations method - AKA elimination
Thur, Jan 19th MATHia: Solving Linear Systems Using Linear Combinations (UN8 WS1)
MATHia: Solving Linear Systems Using Any Method (UN8 WS2)

Done with 22 of 40 in the Module
Mon, Jan 23rd Go over Test #5  (Retakes must be taken during Bobcat Time)

Elimination Quiz (2.3.2)

Module 2: Exploring Constant Change
Topic 3: Systems of Equations and Inequalities
Lesson 3: Throwing Shade- Graphing Inequalities in Two Variables

Will be doing parts of:
Activity 1: Linear Inequalities in Two Variables p 333  probs 1-6
Video
Activity 2: Determining the Graphs of Linear Inequalities p 336 all probs
p 338 and p 340 - assignment - due before Wednesday
Wed, Jan 25th discuss pp 338 and 340 then,
MATHia • Exploring Linear Inequalities (UN 9, WS 1)
MATHia • Graphing Linear Inequalities in Two Variables (UN 9, WS 2)

done with 24 of 40 in the Module
Thur, Jan 26th and Mon, Jan 30th Activity 3: Interpreting Graph of Linear Inequalities p 341 probs 1-2

Quiz 2.3.3 (table quiz)

Module 2: Exploring Constant Change
Topic 3: Systems of Equations and Inequalities
Lesson 4: Working with Constraints - Systems of Linear Inequalities

Will be doing parts of:
Getting Started - p 348
Video
Activity 1: Determining Solutions to Systems of Linear Inequalities p 349
Activity 2: Analyzing Graphs of Systems of Linear Inequalities p 351

MONDAY:
Assignment: pp 357-358 - do all of practice problems

MATHia  • Systems of Linear Inequalities (UN 10, WS 1)
MATHia  • Interpreting Solutions to Systems of Inequalities (UN 10, WS 2)

done with 26 of 40 in the Module
Wed, Feb 1st Review for Test 6 - SEE CANVAS
Thur, Feb 2nd Test 6

Extra-credit activity: The Toy Factory
Mon, Feb 6th and Wed, Feb 8th Module 2: Exploring Constant Change
Topic 4: Functions Derived from Linear Relationships
Lesson 1: Putting the V in Absolute Value: Defining Absolute Value Functions and Transformations

Wed: Discuss domain and range of transformed absolute value functions; keep working on MATHia

MATHia: Building Absolute Value Connections (UN11 WS 1)
MATHia: Vertically Dilating Absolute Value Functions (UN11 WS 2)
MATHia: Vertically Translating Absolute Value Functions (UN11 WS3)
MATHia: Horizontally Translating Absolute Value Functions (UN11 WS4)
MATHia: Multiple Transformations of Absolute Value Functions (UN11 WS5)
(done with 31 of 40)
Thur, Feb 9th 2.4.1 Quiz

Module 2: Exploring Constant Change
Topic 4: Functions Derived from Linear Relationships
Lesson 2: Play Ball! Absolute Value Equations and Inequalities

MATHia: Reasoning About Absolute Value Equations (UN12 WS1)
MATHia: Graphing Simple Absolute Value Equations Using Number Lines (UN12 WS2)
MATHia: Introduction to Absolute Value Equations (UN12 WS3)
MATHia: Solving Absolute Value Equations (UN12 WS4)
MATHia: Reasoning About Absolute Value Inequalities (UN12 WS5)
(done with 36 of 40)
Mon, Feb 13th Module 2: Exploring Constant Change
Topic 4: Functions Derived from Linear Relationships
Lesson 3: I Graph in Pieces: Linear Piecewise Functions

MATHia: Introduction to Piecewise Functions (UN13 WS1)
MATHia: Graphing Linear Piecewise Functions (UN13 WS2)

MATHia: Interpreting Piecewise Functions (UN13 WS3)
(done with 39 of 40)
Wed, Feb 15th NO SCHOOL - SNOW DAY
Thur, Feb 16th Absolute Value Review
Look at writing absolute value and piecewise functions of the same graph

MATHia day
Mon, Feb 20th NO SCHOOL - President's Day
Wed, Feb 22nd and Thur, Feb 23rd NO SCHOOL - SNOW DAYS
Fri, Feb 24th Turn in completed WS from last Thursday

Review for Test 7: Topic 4 Lessons 1-3 and MATHia Units 11-13
Review Problems on Canvas
     - You NEED to work quietly this period. You can finish MATHia or review for the test using the problems on Canvas.  I will be going over the piecewise review problems with interested learners. TEST WILL BE ON MONDAY!!

Topics to Review:
Identifying Transformations in Absolute Value Functions
Graphing Absolute Value Functions on Coordinate Plane
Solving Absolute Value Functions
Solving and Graphing Absolute Value Inequalities on a Number Line
Graphing Linear Piecewise Functions
Analysis of the Graphs of Linear Piecewise Functions in Problem Situations
Mon, Feb 27th Test 7
Mon, Feb 27th Bonus Lesson (last one we are doing in this book):
Module 2: Exploring Constant Change
Topic 4: Functions Derived from Linear Relationships
Lesson 4: Step By Step: Step Functions

MATHia: Analyzing Step Functions (UN14 WS1)
(done with 40 of 40)
Wed, Mar 1st-Thur Mar 2nd Go over Test 6

New books.  Toss old books?  Do they want to keep for missing assignments or retakes?

Module 3 Investigating Growth and Decay
Topic 1 Introduction to Exponential Functions
Lesson 1 A Constant Ratio: Geometric Sequences and Exponential Functions

     - handout: exponential rules
     - handout: function families

MATHia: Writing Sequences as Exponential Functions (UN 1 WS 1)
Mon, Mar 6th and Wed Mar 8th, Thur, Mar 9th
(early release),
Mon 13th
- review exponential function and what parts represent
- look at exponent rules sheet

Module 3 Investigating Growth and Decay

Topic 1 Introduction to Exponential Functions
Lesson 2 The Power Within: Rational Exponents and Graphs of Exponential Functions
     - Positive x values
     - Negative x values
     - Horizontal asymptotes
     - Rational exponents <--> Radicals
 
   - Rational exponents in lowest terms
     - Extracting Roots
    
- Solving using one-to-one property


MATHia:
     - Using Properties of Exponents (UN 2 WS 1)
     - Properties of Rational Exponents (UN 2 WS 2)
     - Rewriting Expressions with Radicals and Rational Exponents (UN 2 WS 3)

    
- Solving Contextual Exponential Relations Using Common Bases (UN 2 WS 4)
Thur, March 16th No School - Snow Day - Again :-(
Fri, Mar 17th NO SCHOOL
Mon, March 20th and Module 3 Investigating Growth and Decay
Topic 1 Introduction to Exponential Functions
Lesson 3 Now I Know my A, B, C, D's: Transformations of Exponential Functions
     - warm-up page 498
     - Parts of Activity 1, Activity 2, Activity 3 and Activity 5
     
MATHia (may have to do on own time):
     - Introduction to Transforming Exponential Functions (UN 3 WS 1)
     - Vertically Translating Exponential Functions (UN 3 WS 2)
     - Horizontally Translating Exponential Functions (UN 3 WS 3)
     - Reflecting and Dilating Exponential Functions Using Graphs (UN 3 WS 4)
     - Transforming Exponential Functions Using Tables (UN 3 WS 5)
     - Multiple Transformations of Exponential Functions (UN 3 WS 6)
Wed, Mar 22nd Review for Test pp 475-476, 495-496, 519-520, 522
Topics to Review:
- Writing exponential functions from ordered pairs (tables)
- Writing exponential functions from explicit to function form (using exponential rules)
- Converting between radical and rational form
- Simplifying radicals
- Solving exponential functions for x (using same base and one-to-one properties)
- Transformations of exponential functions
- Finding domains, ranges, and asymptotes
MATHia:  should be done with 11 of 21
Thur, Mar 23rd Test 8: Introduction to Exponential Functions
Mon, Mar 27th Module 5: Maximizing and Minimizing
Topic 1: Introduction to Quadratic Functions
Lesson 1: Up and Down or Down and Up: Exploring Quadratic Functions (starts on page 657)
    - Review (warm-up)
     - Watch videos 1 and 2 as we complete Activity 1
     - Activity 2 together as a group
     - Watch video 3 before Activity 3
     - Activity 3 with table group
     - Activity 4 together as a group


6 MATHia Workspaces - HOMEWORK (or during Bobcat Time)

·       Introduction to a Quadratic Function (UN 1 WS 1)

·       Modeling Area as a Product of a Monomial and Binomial (UN 1 WS 2)

·       Modeling Area as a Product of Two Binomials (UN 1 WS 3)

·       Modeling Projectile Motion (UN 1 WS 4)

·       Recognizing Key Features of Vertical Motion Graphs (UN 1 WS 5)

·       Interpreting Maximums of Quadratic Models (UN 1 WS 6)

Wed, Mar 29th 6 MATHia Workspaces (6 of 39)

·       Introduction to a Quadratic Function (UN 1 WS 1)

·       Modeling Area as a Product of a Monomial and Binomial (UN 1 WS 2)

·       Modeling Area as a Product of Two Binomials (UN 1 WS 3)

·       Modeling Projectile Motion (UN 1 WS 4)

·       Recognizing Key Features of Vertical Motion Graphs (UN 1 WS 5)

·       Interpreting Maximums of Quadratic Models (UN 1 WS 6)

 - Some students need to finish Exponential MATHia workspaces through 11 of 21.  They will then need to let me know so that I can move them to the Quadratic MATHia workspaces.
Thur, Mar 30th Module 5: Maximizing and Minimizing
Topic 1: Introduction to Quadratic Functions
Lesson 2: Endless Forms Most Beautiful: Key Characteristics of Quadratic Functions (page 673)
    - All of Getting Started
     - Activity 1: discuss/highlight imp items, do problems 5-6 only
     - Activity 2: all
     - Activity 3: discuss/highlight imp items, do problems 3-5, 8a-8d
     - Activity 4: do problems 2-5

2 MATHia Workspaces (8 of 39)

·       Recognizing Quadratic Functions from Tables (UN 2 WS 1)

·       Identifying Properties of Quadratic Functions (UN 2 WS 2)

Mon, Apr 3rd 5.1.2 Table Quiz (no more than 10 minutes)
MATHia
Apr 6th-10th NO SCHOOL
Wed, Apr 12th and Thur, Apr 13th GO OVER TEST 8

Module 5: Maximizing and Minimizing
Topic 1: Introduction to Quadratic Functions
Lesson 3: More Than Meets the Eye: Transformations of Quadratic Functions (page 697)

     - Activity 1: graphs on Desmos.  Start summary of Transformation Form (AKA Vertex form) on the board.  Answer 1 and 2 (all parts)
     - Activity 2: graphs on Desmos.  Continue summary on board.  Answer 1 and 2 (all parts)
     - Discuss how the transformations affect the x and y coordinates.      
     - Activity 3:  Go through worked example.  Stress the order on which transformations are applied when graphing.  Do all problems.  All MATHia workspacees can be completed after Activity 3.
     - Activity 4:  Do all of 1, 2, 3, 5, 6
     - Activity 5: All

5 MATHia Workspaces (homework)

·       Vertically Translating Quadratic Functions (UN 3 WS 1)

·       Horizontally Translating Quadratic Functions (UN 3 WS 2)

·       Reflecting and Dilating Quadratic Functions Using Graphs (UN 3 WS 3)

·       Transforming Quadratic Functions Using Tables(UN 3 WS 4)

·       Multiple Transformations of Quadratic Functions (UN 3 WS 5)

Mon, Apr 17th Review for Test 9: Introduction to Quadratic Functions
Good reviews on pp 693-696, 719, 735-736, 740 (7-11)
Skills needed:

·       Find first and second differences and use them to determine whether the function is linear or quadratic. 678-679

·       Identify properties of quadratic functions and/or graphs: domain, range, y-intercepts, x-intercepts, axis of symmetry, and vertex. 685-686

·       Work with Desmos to analyze a function using the vertical motion model. 665-666

·       Write quadratic function in vertex form given the vertex and one other point. 718

·       Write quadratic function in factored form given the x-intercepts. 716-718

·       Identify transformations given a function in vertex (transformation) form. 699-703, 719

·       Use the axis of symmetry to identify pairs of points with the same y-coordinates. 684, 694

Wed, Apr 19th Test 9: Introduction to Quadratic Functions
Thur, Apr 20th and Mon Apr. 24th 30 mins to finish test, then

Module 5: Maximizing and Minimizing
Topic 2: Solving Quadratic Functions
Lesson 1: This Time, With Polynomials

Focus:  What is a polynomial? What are the parts of a polynomial?  What is standard/general form? Adding, subtracting, multiplying polynomials.

Homework:  Worksheet
Wed, Apr 26th Module 5: Maximizing and Minimizing
Topic 2: Solving Quadratic Functions
Lesson 2: Solutions, More or Less: Representing Solutions to Quadratic Equations
     - find solutions of quadratic functions graphically using Desmos and algebraically (pp 767-769)
     -  find solutions (see above) and use those solutions to write quadratic functions in factored form (p 772 #1 and will do with problems on page 776 #1)

Assignment: Worksheet
Thur, Apr 27th Polynomial Review: 
Two circuit activities:  Beginning Polynomials AND Operations with Polynomials

MUST show work in each box (or no credit).   Finish Beginning Polynomials circuit before the Operations with Polynomials Circuit.   Bring up to me and I will check and give it back to you if it has errors.
Mon, May 1st Go over last test

Look at 5.2.2 WS (do not turn in)


Module 5: Maximizing and Minimizing
Topic 2: Solving Quadratic Functions
Lesson 3: Transforming Solutions
   - Focus on solving quadratics using square roots, like Wednesday but equations with more steps.  Problems on pages 782,784 and 787.  Will not be graphing, just finding zeros (solutions, roots,  y-intercepts...)


AND...
Review for Test 10 (M5,T2, Lessons 1-3).  There is a practice worksheet. 

Skills needed:

·       Polynomials in general/standard form, degree, terms, name using degree, name using terms

·       Add, subtract, multiply polynomials

·       Find zeroes of a polynomial function.  Write in factored form.

·       Solve quadratic functions.  (Using square roots)

Wed, May 3rd Test 10
Thur, May 4th Module 5: Maximizing and Minimizing
Topic 2: Solving Quadratic Functions
Lesson 4: The Missing Link: Factoring and Completing the Square (p 791)
     - factoring trinomials and binomials
     - finding solutions from factors
1st step - GCF - page 792
Trinomial Factoring - will use the x-method (not in book):  Example problems found on pages 794, 795 
Trinomial Solving - example problems found on pp 800-801

Assignment:  Worksheet for trinomials a=1
Mon, May 8th Go over some problems off of factoring WS from Thursday
Factoring quiz 1

Factoring trinomials a>1
Assignment: Worksheet
 Wed, May 10th Go over some problems off of factoring WS from Monday
Factoring quiz 2
Thur, May 11th Module 5: Maximizing and Minimizing
Topic 2: Solving Quadratic Functions
Lesson 4: The Missing Link: Factoring and Completing the Square
     - find solutions using completing the square  (pp 806-807)
Assignment: Worksheet
Mon, May 15th Go over test 10. 
Go over Completing the Square WS.
No Quiz today.  :-(

Module 5: Maximizing and Minimizing
Topic 2: Solving Quadratic Functions
Lesson 5: Ladies and Gentlemen, Please Welcome the Quadratic Formula
      - find solutions using the quadratic formula
Assignment: Worksheet
Wed, May 17th Review for Test 11 (M5,T2, Lessons 4-5)

Skills needed:

·       Factoring quadratic expressions

·       Find solutions from factored form

·       Solve by factoring

·       Solve by completing the square

·       Solve by quadratic formula

Thur, May 18th Test 11 - There will be no retakes on this test
Mon, May 22nd Go over (and discuss) last page of Test 11 Review Sheet in preparation for Thursday's Activity.  Pay attention.  Mrs. Zubke will not be here to help you on Thursday.

1)     Use the internet to find pictures of two real-world examples of parabolas.  Save them to your computer so that you can find them later. 

2)     Use https://sporkforge.com/index.html to put a grids on your pictures. Make sure you reduce the size of your grids.  You will be shown how to use this site.  Pay attention!

              If sporkforge isn't working, try  https://yomotherboard.com/add-grid-to-image/ or use paint program
       (or find another grid overlay site)

 

3)     Print out your pictures and save them for Thursday.  Do not lose them!!!  You cannot print them Thursday.  It's a semester test day and you can't be in the hallway.      

Wed, May 24th

SEM TEST DAY 1:
(Sr. Breakfast and Grad Practice—10 AM start to the school day)

PERIOD 2:  10:00 – 11:08
PERIOD 4:  11:18 – 12:26

LUNCH:  12:31 – 1:11

PERIOD 6:  1:16 – 2:25

Thur, May 25th

Algebra 1 - Quadratic Functions Project

 

SEM TEST DAY 2:
PERIOD 1:  8:15 – 9:25

PERIOD 3:  9:35 – 10:45

 

PERIOD 5A:  10:55 – 12:05

LUNCH:  12:05 - 12:45

 

LUNCH:  10:50 – 11:30
PERIOD 5B:  11:35 – 12:45

 

PERIOD 7:  12:55 – 2:05

MAKE UP SESSION 1:  2:15 – 3:25

Fri, May 26th Make-up Sem Testing Sessions (AM only)

MAKE UP SESSION 2:  8:15 – 9:25

MAKE UP SESSION 3:  9:35 – 10:45

MAKE UP SESSION 4:  10:55 – 12:00

 

LUNCH:  Grab and Go Available

Home