Intermediate Algebra Sabbatical Project
2016
Resources Organized by Type
Stitz-Zeager (College Algebra and above)
Also, you can mash
together texts like WTAMU's Intermediate Algebra, but those won't give you a
"printable" textbook.
AMATYC The Right
Stuff: Appropriate Mathematics for all
students “Promoting materials that engage students in
meaningful activities, promote the effective use of technology to support the
mathematics, further equip students with stronger problems solving and critical
thinking skills, as well as enhance numeracy. “ https://amatyc.site-ym.com/?page=therightstuff&hhSearchTerms=%22right+and+stuff+and+materials%22
·
18.0
Archimedes’ Law: Linear
functions, algebra, and table of values (select 18 at top) http://therightstuff.matyc.org/RSmods2009/index.html
·
5.0 Soap
Bubbles, Cheesecake Factories, and Cell Phone Towers : Linear Functions (select 5 at top)
http://therightstuff.matyc.org/RSmods2009/index.html
·
7.0 A
Slice of Liver: Linear functions (select
7 at top) http://therightstuff.matyc.org/RSmods2009/index.html
·
16.0
Compound Interest: Linear
Functions (select 16 at top) http://therightstuff.matyc.org/RSmods2009/index.html
·
2.0
Generator Math: Linear modeling
(select 2 at top) http://therightstuff.matyc.org/RSmods2009/index.html
·
12.0
Looking into the future…. Value:
Linear and exponential functions (select 12 at top) http://therightstuff.matyc.org/RSmods2009/index.html
·
6.0
Hurricanes – This will blow you away:
Quadratic Functions (select 6 at top)
http://therightstuff.matyc.org/RSmods2009/index.html
·
10.0
Minimizing Distance to a Cell Phone Tower: Geometry, Modeling (Linear and Quadratic),
and Optimization (select 10 at top) http://therightstuff.matyc.org/RSmods2009/index.html
·
3.0 Super
Snacks: Quadratic modeling (select 3 at top) http://therightstuff.matyc.org/RSmods2009/index.html
·
11.0 What
if… : Problem solving with multiple
representations of functions (quadratic, rational, logistic, and exponential)
(select 11 at top) http://therightstuff.matyc.org/RSmods2009/index.html
·
17.0 Math
of Finance: Exponential and Power
Functions (select 17 at top) http://therightstuff.matyc.org/RSmods2009/index.html
Connecticut Core
Standards
Algebra I
Curriculum: “This model Algebra 1 curriculum created by
CT teachers and students for CT teachers and students emphasizes problem
solving and mathematical reasoning, incorporates real-world applications and
effective use of technology, and uses multiple representations.” Units of instruction are: Patterns, Equations and Inequalities,
Functions, Linear Functions, Scatter Plots and Trend Lines, Systems of
Equations, Intro to Exponential Functions, Quadratic Functions. http://ctcorestandards.org/?page_id=6311
Selected Lessons, Activities, and references that are relevant to our
Intermediate Algebra curriculum are referenced below:
Unit 3 - Functions:
·
Activity 3.1.1a Representing Relations I
·
Activity 3.1.1b Representing Relations II
·
Activity 3.1.2 Is it a Function
·
Activity 3.2.3 Functions Everywhere
·
Activity 3.2.5 The Raven and the Jug (experiment to collect linear data)
·
Activity 3.3.1 Function Machines
·
Activity 3.3.4 Hot Air Balloon (domain, range, and function values from a
graph)
Unit 4 – Linear
Functions:
·
Activity 4.2.4 Draining a Swimming Pool
·
Activity 4.4.5 Applications of Slope-Intercept Form
·
Activity 4.6.6 Finding and Using Linear Functions
·
Activity 4.6.7 You Choose (finding linear functions to
model given situations)
Unit 5 – Scatter
Plots and Trend Lines:
·
Activity 5.2.1 Sea Level Rise
·
Activity 5.2.2 Scatter Plots and Trend Lines
·
Activity 5.2.3 TV Watching, Homework and Test Scores
·
Activity 5.2.4 Height and Shoe Size
·
Activity 5.3.1 Fitting Lines with Technology
·
Activity 5.3.5 Regression Equation Practice
·
Activity 5.4.1 Forensic Anthropology
·
Activity 5.4.3a Stadium Wave (activity to collect and analyze linear
data)
·
Activity 5.4.5 Walking Away
(activity to collect and analyze linear data)
Unit 7 – Intro to Exponential Functions:
·
Activity 7.1.2 Is it a Good Deal (example of doubling)
·
Activity 7.2.1 Exploring Growth Patterns
·
Activity 7.3.1 Building Walls
·
Activity 7.3.4 Modeling Exponential Growth and Decay Using
Parameters
·
Activity 7.4.1 Tossing M and Ms (activity to collect and analyze
exponential data)
·
Activity 7.5.2 Percent Change and Exponential Functions
·
Activity 7.5.3 Percent Change Situations
·
Activity 7.5.4 Modeling Exponential Functions – What is
the Percent Change
·
Activity 7.5.6 Doubling Time and Half Life
·
Activity 7.6.1 The Mathematics of Global Warming
·
Activity 7.6.2 Countering Global Warming
Unit 8– Quadratic Functions
·
Activity 8.1.1 Quadratics in the Kitchen
·
Activity 8.1.4 Quadratic Functions by Table
·
Activity 8.1.6 Exploring the Parameters of y = ax^2 + bx +
c
·
Activity 8.4.3 Password (various forms of a quadratic function and vertex and
zeros)
Algebra II
Curriculum: “This model Algebra II curriculum created by
CT teachers and students for CT teachers and students emphasizes problem
solving and mathematical reasoning, incorporates real-world applications and
effective use of technology, and uses multiple representations.” Units of instruction are: Functions and Inverse Functions, Quadratic
Functions, Polynomial Function, Rational and Power Functions, Exponential and
Logarithmic Functions, Trigonometric Functions. http://ctcorestandards.org/?page_id=9840 Selected
Lessons, Activities, and references that are relevant to our Intermediate
Algebra curriculum are referenced below:
Unit 1 – Functions and Inverse Functions
·
Activity 1.2.2 What’s Reasonable?
(determine if a situation is a function)
Unit 2 – Quadratic Functions
·
Launch 2.2 Crumpled Paper Toss
·
Teacher Launch 2.2 Notes for Crumpled Paper Toss
·
Activity 2.5.1a Home Run Ball (model situation with a quadratic function)
·
Activity 2.5.4a Historic Hotels (model situation with a quadratic function)
·
Activity
2.6.1 Radical Functions
Unit 4 – Rational and Power Functions
·
Activity 4.3.4 Applications of Rational Functions
·
Activity 4.3.7 Queueing Theory Application
·
Activity 4.4.1 Rational Expressions I
EngageNY.org: open source materials from New York State
Common Core Mathematics Curriculum (also found in Eureka-Math)
Algebra I
·
Module 1:
Relationships Between Quantities and Reasoning with Equations and Their
Graphs
o
Topic A:
Introduction to Functions Studies This Year – Graphing Stories
·
Module 3: Linear and Exponential Functions
o
Topic A: Linear and Exponential Sequences
§
Lesson 4 - Simple Interest vs. Compound
Interest
§
Lesson 5 – The Power of Exponential
Growth
§
Lesson 6 – Exponential Growth – U.S.
Population and World Population
§
Lesson 7 – Exponential Decay
o
Topic B: Functions and Their Graphs
§
Lesson 9 – Representing, Naming, and
Evaluating Functions
§
Lesson 10 – Representing, Naming and
Evaluating Functions
§
Lesson 13 – Interpreting the Graph of a
Function
§
Lesson 14 – Linear and Exponential
Models – Comparing Growth Rates
o
Topic D: Using Functions and Graphs to Solve Problems
§
Lesson 21 – Comparing Linear and
Exponential Functions Again
§
Lesson 22 – Modeling and Invasive
Species Population
·
Module 4: Polynomial and Quadratic Expressions,
Equations, and Functions
o Topic
A: Quadratic Expressions, Equations,
Functions, and Their Connection to Rectangles
§ Lesson
1 – Multiplying and Factoring Quadratic Expressions
§ Lesson
2 – Multiplying and Factoring Polynomial Expressions
§ Lesson
3 – Advanced Factoring Strategies for Quadratic Expressions
§ Lesson
4 – Advanced Factoring Strategies for Quadratic Expressions
§ Lesson
5 – The Zero Product Property
§ Lesson
6 – Solving Basic One-Variable Quadratic Equations
§ Lesson
7 – Creating and Solving Quadratic Equations in One Variable
§ Lesson
8 – Exploring the Symmetry in Graphs of Quadratic Functions
§ Lesson
9 – Graphing Quadratic Functions from Factored Form,
§ Lesson
10 – Interpreting Quadratic Functions from Graphs and Tables
o
Topic B: Using Different Forms for Quadratic Functions
§
Lesson 15 – Using the Quadratic Formula
§
Lesson 16 – Graphing Quadratic
Equations from the Vertex Form
§
Lesson 17 – Graphing Quadratic
Functions from the Standard Form
o
Topic C: Function Transformations and Modeling
§
Lesson 18 – Graphing Cubic, Square
Root, and Cube Root Functions
§
Lesson 22 – Comparing Quadratic, Square
Root, and Cube Root Functions Represented in Different Ways
§
Lesson 23 – Modeling with Quadratic
Functions
·
Module 5: A Synthesis of Modeling with Equations and
Functions
o
Topic A: Elements of Modeling
§
Lesson 2 – Analyzing a Data Set
§
Lesson 3 – Analyzing a Verbal Description
o
Topic B: Completing the Modeling Cycle
§
Lesson 6 – Modeling a Context from Data
§
Lesson 7 – Modeling a Context from Data
(using regression)
Algebra II
·
Module 1: Polynomial, Rational, and Radical
Relationships
o
Topic A: Polynomials From Base 10 to Base X
§
Lesson 9 – Radicals and Conjugates
o Topic
C: Solving and Applying Equations –
Polynomial, Rational, and Radical
§ Lesson
22 - Equivalent Rational Expressions
§ Lesson
23 – Comparing Rational Expressions
§ Lesson
26 – Solving Rational Equations
§ Lesson
27 – Word Problems Leading to Rational Equations
§ Lesson
28 – A Focus on Square Roots
“Illustrative Mathematics” (tasks that support each CCSS
standard) https://www.illustrativemathematics.org/content-standards
Note: https://illuminations.nctm.org/Lesson
is being updated on a regular basis with new lessons. If you have a specific content area it is easy
to search for lessons.
“Sorting Functions” (match graph, equation, table, and
rule) http://map.mathshell.org/tasks.php?unit=HA16&collection=9
“Representing Functions of Everyday Situations” http://map.mathshell.org/download.php?fileid=1740
“Patterns and Functions”
entire unit https://www.youcubed.org/task/patterns-and-functions-unit/
“Building and Solving Linear Equations” http://map.mathshell.org/download.php?fileid=1688
“Movie Lines” linear
function http://www.nctm.org/Classroom-Resources/Lessons/Movie-Lines/
“Real Life Examples
Linear Equations y=mx+b http://www.sharemylesson.com/teaching-resource/real-life-examples-linear-equation-y-equals-mx-b-50016636/
“Get the Math” Videos
and challenge for Math in Videogames (finding a linear function) http://www.thirteen.org/get-the-math/the-challenges/math-in-videogames/introduction/16/
“Get the Math” Videos and challenge for Math in
Restaurants (finding a linear function) http://www.thirteen.org/get-the-math/video/get-the-math-in-restaurants-introduction/179/
“Super Bowl Advertising Regressions & scatter
plots” http://www.sharemylesson.com/teaching-resource/super-bowl-advertising-regressions-and-amp-scatter-plots-50008194/
“Space Shuttle
Ascent: Mass vs. Time” activity from “Exploring Space Through Math”
series from NASA on linear functions and regressions http://www.nasa.gov/audience/foreducators/exploringmath/algebra1/Prob_ShuttleMassTime_detail.html
“Ascent – 50 seconds to MECO
activity from “Exploring Space Through Math” series from NASA on linear
functions, variables, domain, range, etc.
http://www.nasa.gov/audience/foreducators/exploringmath/algebra1/Prob_MECO_detail.html
“Exercising in Space”
activity from “Exploring Space Through Math” series from NASA on linear
functions (requires TINspire) http://www.nasa.gov/audience/foreducators/exploringmath/algebra1/Prob_Exercise_detail.html
“Linear or Exponential?”
determine whether situations are linear or exponential https://www.illustrativemathematics.org/content-standards/tasks/629
“Drug Filtering”
exponential decay application http://www.nctm.org/Classroom-Resources/Lessons/Drug-Filtering/
“National Debt and Wars”
linear and exponential curve fitting
https://illuminations.nctm.org/Lesson.aspx?id=2272
“Xbox Xponential”
models exponential situation http://achievethecore.org/content/upload/Grade%20HS%20Mathalicious%20lesson%20-%20XBox%20Xponential%20FINAL.pdf
“Does Paying Down a Mortgage Save you Money?” activity comparing a 30 year mortgage with a 20 year one http://www.sharemylesson.com/teaching-resource/does-paying-down-a-mortgage-save-you-money-50009201/
“Paper Folding” – find how many folds of a piece of paper to
get to the moon (includes video of Myth Busters) https://www.illustrativemathematics.org/content-standards/tasks/2114
“US Population 1790 –
1860”: compare linear and exponential
function for situation https://www.illustrativemathematics.org/content-standards/tasks/354
“Exponential Paramaters”
exponential growth and bacteria https://www.illustrativemathematics.org/content-standards/tasks/2116
“National Debt and Wars”
exponential model http://www.nctm.org/Classroom-Resources/Lessons/National-Debt-and-Wars/
“Predicting the Past”
using exponential models https://www.illustrativemathematics.org/content-standards/tasks/2127
“Fall of Javert”
could be used as an introduction to a quadratic function http://www.mathalicious.com/lessons/the-fall-of-javert
“Representing Quadratic Functions Graphically” http://map.mathshell.org/download.php?fileid=1734
“Egg Launch Contest”
multiple representations of quadratic functions https://illuminations.nctm.org/Lesson.aspx?id=2650
“Hanging Chains”
modeling a quadratic function using a hanging chain https://illuminations.nctm.org/Lesson.aspx?id=2105
“Factored Form of a Quadratic Function” http://achievethecore.org/page/863/factored-form-of-a-quadratic-function-detail-pg
“What goes up” modeling projectile motion with a quadratic
function http://betterlesson.com/lesson/448620/what-goes-up-day-1-of-3
“Representational Relationships of Lines and Parabolas”
E-example from NCTM Illuminations https://illuminations.nctm.org/Activity.aspx?id=6373
“ Profit of a
Company, Assessment Variation”
distinguishing between three equivalent quadratic functions http://achievethecore.org/page/883/profit-of-a-company-assessment-variation-detail-pg
“Get the Math” Videos and challenge Math in Basketball
(finding a quadratic function) http://www.thirteen.org/get-the-math/the-challenges/math-in-basketball/introduction/181/
“Functions” (linear and quadratic) http://map.mathshell.org/tasks.php?unit=HA07&collection=9
“Medieval
Archer” transformation of quadratic
function https://www.illustrativemathematics.org/content-standards/tasks/695
“Factoring quadratics starter” powerpoint to start factoring trinomial http://www.sharemylesson.com/teaching-resource/factoring-quadratics-starter-6030130/
“Quadratic Sequence I”
patterns and solving quadratic equations using the square root
method https://www.illustrativemathematics.org/content-standards/tasks/2121
“Quadratic Sequence II”
more with patterns and solving quadratic equations using the square root
method https://www.illustrativemathematics.org/content-standards/tasks/2122
“Visualizing Completing the Square” uses algebra tiles https://www.illustrativemathematics.org/content-standards/tasks/1827
“Two Squares are Equal”
using and comparing various methods for solving quadratic equations https://www.illustrativemathematics.org/content-standards/tasks/618
“Springboard Dive”
application of quadratic function
https://www.illustrativemathematics.org/content-standards/tasks/375
“Throwing Baseballs”
application of quadratic function, comparing two quadratic functions’
vertex https://www.illustrativemathematics.org/content-standards/tasks/1279
“Weightless Wonder” activity from “Exploring Space Through
Math” series from NASA on quadratic functions http://www.nasa.gov/audience/foreducators/exploringmath/algebra1/Prob_WeightlessWonder_detail.html
“Space Shuttle Ascent:
Altitude vs. Time - data and
quadratic regression http://www.sharemylesson.com/teaching-resource/space-shuttle-ascent-altitude-vs-time-50028724/
“How Did I Move?”
linear, exponential, and quadratic functions http://www.nctm.org/Classroom-Resources/Lessons/How-Did-I-Move_/
“How Should I Move?
Linear exponential, and quadratic functions (need motion detector) http://www.nctm.org/Classroom-Resources/Lessons/How-Should-I-Move_/
“Swine Flu Data”
compare linear, exponential, and quadratic models for this data https://www.teacherspayteachers.com/Product/SWINE-FLU-DATA-43287
“Rainforest Deforestation – Problem or Myth?” compare models that are linear, exponential,
and quadratic functions https://illuminations.nctm.org/Lesson.aspx?id=3820
“Get the Math” Videos
and challenge for Math in Special Effects (light intensity and distance –
inverse square – need special equipment)
http://www.thirteen.org/get-the-math/the-challenges/math-in-special-effects/introduction/243/
“Lights on the International Space Center” ”
activity from “Exploring Space Through Math” series from NASA on inverse
square variation http://www.nasa.gov/audience/foreducators/exploringmath/algebra2/Prob_LightsISS_detail.html
“Average Cost”
rational function https://www.illustrativemathematics.org/content-standards/tasks/387
“The Canoe Trip – Variation I” rational functions and asymptotes https://www.illustrativemathematics.org/content-standards/tasks/386
“Graphing Rational Functions” explore parameters with use of sliders https://www.illustrativemathematics.org/content-standards/tasks/1694
“Domain Representations”
domains of various functions (through rational functions) from graphs,
tables, number lines, and symbols https://illuminations.nctm.org/Lesson.aspx?id=2071
Also, see books category below for more tasks
Graphing
Calculator Activities
(Texas Instruments: https://education.ti.com/en/us/activities-home)
“Fuel for the Fire”
linear functions https://education.ti.com/html/Nasa/activities.shtml?utm_campaign=7380%20NASA%20Activity%201&utm_medium=email&utm_source=Eloqua&utm_content=CL7380%20NASA%20Activity%201_1st%20Send
“You Are What You Eat”
concept of line of best fit and linear regression https://education.ti.com/en/84activitycentral/us/detail?id=E519ADE2AAFD42C3B49D74242317DD29&t=1057D2635ECE4AC997A6E8222616FD18
“Guppies and
Frogs” linear and exponential growth
modeling https://education.ti.com/en/84activitycentral/us/detail?id=A6834E1333734A46B81C54599B60A0C6&t=AE7D5DE8BBF94DD8A010D9F03214C317
“Spreading Doom”
modeling an exponential situation (spread of a computer virus) https://education.ti.com/en/84activitycentral/us/detail?id=874E6ECB7E8045938E654C576077ABAC&t=AE7D5DE8BBF94DD8A010D9F03214C317
“Stacking Bricks” find a pattern and model with a quadratic
function
“Graphing Quadratic Functions” explore impact that the constants, a, b, and
c, have on the graph of the function (uses APP called Transfrm) https://education.ti.com/en/84activitycentral/us/detail?id=26347906DEF24F8F97F089F6EFC061A1&t=D8B8C220FB134AD79C21D8694DBC2704
“Using Symmetry to Find the Vertex of a Parabola” develops intuitive understanding of vertex
and axis of symmetry https://education.ti.com/en/84activitycentral/us/detail?id=4209A85E866C4EA19982387DEBDD8B2A&t=D8B8C220FB134AD79C21D8694DBC2704
“Constant of
Variation” direct and inverse
variation https://education.ti.com/en/84activitycentral/us/detail?id=C38940FD71CA4DE08467D591DF0970F5&t=2E085A1344974A24B3139A562780BE5A
“Radical Transformations”
explore transformations on the basic square root function https://education.ti.com/en/84activitycentral/us/detail?id=3FE56C10EF57478CB386AE374A96BEDD&t=632C9D5E616E4C03ABB301E7B402C773
“Roots of Radical Equations”
solving radical equations graphically
https://education.ti.com/en/84activitycentral/us/detail?id=1CAD753DAE8D4539B4F2A92008BCA9B1&t=632C9D5E616E4C03ABB301E7B402C773
Geogebra: Materials and Downloads http://tube.geogebra.org/
“Linear Functions” various
applets to explore characteristics of linear functions http://www.geogebra.org/material/simple/id/268505
“InputOutput Function”
linear function where you vary slope and y-intercept and see the impact
of each input and output http://www.geogebra.org/material/simple/id/689605
“Graph of linear function” sliders with slope and
y-intercept http://www.geogebra.org/material/simple/id/163667
“Exploring Linear Functions - Common Forms of Linear
Equations” http://www.geogebra.org/material/simple/id/1656547#chapter/56569
“Linear function - properties - scenarios” includes domain, range, and x-intercept http://www.geogebra.org/material/simple/id/2532507
“Patterns and Equations”
mostly linear investigations http://www.geogebra.org/material/simple/id/82808
“Linear or NonLinear
Functions” from the graph http://www.geogebra.org/material/simple/id/193003
“Linear Lesson”
comprehensive with multiple lessons on linear topics http://www.geogebra.org/material/simple/id/315411
“Exponential Functions” varies only the base http://www.geogebra.org/material/simple/id/1257733
“Exponential Function Parameters” a, b, and c
http://www.geogebra.org/material/simple/id/95961
“Explore exponential vs. linear functions” sliders for both
slope and base to compare/contrast http://www.geogebra.org/material/simple/id/15263
“Quadratic Explorer”
sliders for a, b, and c and includes vertex, y-intercept and
x-intercepts http://www.geogebra.org/material/simple/id/963645
“Exploring Quadratic Functions” in standard form by varying
a, b, c http://www.geogebra.org/material/simple/id/948451
“Quadratic Function Exploration” standard, vertex, and
factored forms http://www.geogebra.org/material/simple/id/1689909
“Explore Transformations of Quadratic Functions” in vertex
form http://www.geogebra.org/material/simple/id/2080341
“Investigating the Factored Form of a Quadratic Equation”
vary the factors and see the graph http://www.geogebra.org/material/simple/id/112735
“Solve Quadratic Equations”
shows discriminant, solution, and graph
http://www.geogebra.org/material/simple/id/27328
“Parabolas and quadratic equations” includes completing the square to change
forms http://www.geogebra.org/material/simple/id/1055255
“Investigate A: Graph
of a Rational Function” investigate
graph of 1/x http://www.geogebra.org/material/simple/id/1123751
“Challenge – Rational F’ns & Asymptotic Behavior” comprehensive exploration of various types of
rational functions http://www.geogebra.org/material/simple/id/97472
“Rational Function Discovery” can look at various types of rational
functions’ graphs http://www.geogebra.org/material/simple/id/29618
“Types of Rational Functions” explore impact of constant and parameters on
various types of rational functions http://www.geogebra.org/material/simple/id/125556
“Exploring Power Functions” and can compare two power
functions http://www.geogebra.org/material/simple/id/56286
“Square Root Transformations” a, h, and k
http://www.geogebra.org/material/simple/id/2180353
Desmos
Activities teacher.desmos.com
Function Carnival – graphing how a variable changes over
time vs. the movement itself
Water Line – time/height graphs to model
Polygraph: Lines –
describe important features of lines, need pairs of students
Marbleslides: Lines –
graphing, functions, linear, transformations, slope (must know about restricted
domains)
Will It Hit the Hoop – good introduction to quadratic
functions transitioning from linear functions
Polygraph: Parabolas
– develops formal vocabulary for parabolas, need pairs of students
Marbleslides:
Parabolas - vertex form of a
quadratic equation and restricted domains
Penny Circle - a desmos activity to distinguish between
linear, exponential, and quadratic functions, includes regression
Teacher Resources/Games: https://www.youtube.com/watch?v=5BVSRj_ZEuM&nohtml5=False
Relation Machines to determine if a relation is a function from
tables generated from symbols http://www.regentsprep.org/Regents/math/ALGEBRA/AP3/Tfunctions.htm
“Curve Fitting”
online tool to place data and fit with linear, quadratic, cubic,
etc. http://phet.colorado.edu/en/simulation/curve-fitting
Factoring with Algebra Tiles
http://regentsprep.org/Regents/math/ALGEBRA/AV6/facttiles.htm
Using Algebra Tiles to help solve Quadratic Equations by
Factoring http://www.regentsprep.org/Regents/math/ALGEBRA/AE5/TRFacEq.htm
Practice with Applied Exponential Growth and Decay http://www.regentsprep.org/Regents/math/ALGEBRA/AE7/ExpDecayP.htm
Activity for Exponential Growth and Decay (similar to M&M lab) http://www.regentsprep.org/Regents/math/ALGEBRA/AE7/ExpDecayR.htm
Intro to Applications of Quadratic Functions – A Dolphin
Jump https://www.teacherspayteachers.com/Product/Intro-to-Applications-of-Quadratic-Functions-A-Dolphin-Jump-1528004
Using the graphing calculator to investigate parabolas http://www.regentsprep.org/Regents/math/ALGEBRA/AC4/Tparab.htm
Quadratic Matching – standard form, factored form,
solutions, and graph http://mathbits.com/AlgebraBits/Quadratic%20Matching.pdf
Applied Problems with Radical Equations http://www.regentsprep.org/Regents/math/algtrig/ATE10/radModelprac.htm
Lab: Practicing
Radical Equations (multiple representations)
http://regentsprep.org/Regents/math/algtrig/ATE10/radLAB.htm
Interactive Online
Activities:
“Function Matching”
match your function graph to a given one
http://illuminations.nctm.org/Activity.aspx?id=3520
“Correlation and the Regression Line” http://www.nctm.org/Classroom-Resources/Lessons/Correlation-and-the-Regression-Line/
“Pan Balance – Expressions”
input two expressions (somewhat limited) and when you vary the value of
x you see the point on the graphs – good to visualize solutions to equations
graphically http://illuminations.nctm.org/Activity.aspx?id=3529
“Algebra Tiles” http://illuminations.nctm.org/Activity.aspx?id=3482
“LearnZillion” Math
video lesson library contains short videos to be used as introductions/warm
ups/flipped lesson https://learnzillion.com/resources/75114-math
“ What are some real world examples of functions” https://www.youtube.com/watch?v=qfWM5vyXW7M
“How folding paper can get you to the moon by Adrian Paenza
(introduction to exponential growth) http://ed.ted.com/lessons/how-folding-paper-can-get-you-to-the-moon#watch
“Paper Folding” – find how many folds of a piece of paper to
get to the moon (includes video of Myth Busters) https://www.illustrativemathematics.org/content-standards/tasks/2114
“The Power of Exponentials, Big and Small” and additional resources https://blossoms.mit.edu/videos/lessons/power_exponentials_big_and_small
“The Shrinking Dollar”
visualize exponential decay (2nd video) http://mrmeyer.com/threeacts/shrinkingdollar/
“Quadratic Functions and Parabolas in the Real World” nice images
https://www.youtube.com/watch?v=He42k1xRpbQ
“Rational Expressions in the Real World” https://www.youtube.com/watch?v=5BVSRj_ZEuM&nohtml5=False
“Implementing the Common Core State Standards through
Mathematical Problem Solving – High School”; Theresa J. Gurl, Alice F. Artzt,
Alan Sultan 2012 (includes numerous
tasks appropriate for Intermediate Algebra)
·
Tasks 1.1 and 1.2, pages 4-5, polynomial
factoring
·
Task 1.3, page 7, rational expressions,
subtracting rational expressions
·
Task 1.4, page 8, area and perimeter of a
rectangle, polynomials
·
Task 1.5, page 10, quadratic function
·
Task 1.6, page 13, relationship between a “rule”
and the graph – linear function
·
Task 2.1, page 20, function vs. not a function
·
Task 2.2, page 21, function notation
·
Task 2.3, page 21, function vs. not a function
common misconceptions
·
Task 2.4, page23, function and domain of a
function
·
Task 2.7, page 28, comparing linear and
exponential functions
·
Task 2.8, page 29, find linear and exponential
functions symbolically
·
Task 2.9, page 30, exponential application
(could launch exponential function unit)
·
Task 4.1, page 53, linear data to graph and
model with regression
·
Task 4.2, page 56, r-value of line of best fit
·
Task 4.3, page 57, use linear regression to make
predictions
·
Task 5.1, page 72, rational exponents and roots
“Putting Essential Understanding of Functions into Practice
9-12”; Robert Ronau, Dan Meyer, Terry Crites; NCTM 2014 (instructional approach
of this book and tasks included is a combination of a student-centered
perspective and teaching through problem solving, tasks are found in Appendix 3)
·
Function Wall, page 148, understand the
definition of a function
·
Function Finder, page 150, understand the
definition of a function
·
Lake Depth, page 151, covariation – patterns in
how two variables change together
·
Falling Object, page 161, quadratic functions
and rate of change
·
Sliding Ladder, page 164, exponential functions and
rate of change
·
Velocity of One Car, page 175, graphs as
representations of functions 1
·
Comparing Two Cars, Given Distance, page 178,
graphs as representations of functions 2
·
Comparing Two Cars, Given Speed, page 180,
graphs as representations of functions 3
·
Two Walks, page 182, graphs as representations
of functions 4
“Principles to Actions:
Ensuring Mathematical Success for All”
Steven Leinwand, et al; NCTM 2014 (contains a task appropriate for
Intermediate Algebra, also has other tasks appropriate for Elementary Algebra)
·
Task in Figure 6, page 21, base of exponential
function
“NCSM Great Tasks for Mathematics 6-12, Schrock, C., Norris,
K., Pugalee, D., Seitz, R. and Hollingshead, F.
Schrock,
C., Norris, K., Pugalee, D., Seitz R. and Hollingshead, F.
Other Resources:
Khan Academy – videos and problems https://www.khanacademy.org/
Free Worksheets (skill and drill) http://kutasoftware.com/freemain.html
Volume I Activity Sampler (free download of math activities,
books of activities available for purchase)
Make It Real Learning Company www.makeitreallearning.com
·
Choosing a Cell Phone Plan – Verizon;
Investigating Linear Equations
·
Shopper Center Planning; Looking at Exponential
and Linear Models
·
United States Population; Using Quadratic Models
Mathematical Models (free download contains numerous
linear, quadratic, exponential, etc. sets of data for modeling) Make
It Real Learning Company www.makeitreallearning.com
Alternatives to
Intermediate Algebra:
New Mathways Project, Charles A. Dana Center, University of
Texas http://www.utdanacenter.org/higher-education/new-mathways-project/
·
The New Mathways Project Curricular
Materials http://www.utdanacenter.org/higher-education/new-mathways-project/new-mathways-project-curricular-materials/
·
NMP Curriculum Design Standards http://www.utdanacenter.org/wp-content/uploads/NMP_curriculum_design_standards_Sept2013.pdf
·
Courses:
o
“Foundations of Mathematical Reasoning” course http://www.utdanacenter.org/wp-content/uploads/NMP_curriculum_design_standards_Sept2013.pdf (available as a MyMathLab course through
Pearson)
o
“Frameworks for Mathematics and Collegiate
Learning” course - a first year
experience type course which is a co-requisite to the Foundations course http://www.utdanacenter.org/higher-education/new-mathways-project/new-mathways-project-curricular-materials/frameworks-for-mathematics-and-collegiate-learning/
o
“Quantitative Reasoning” course http://www.utdanacenter.org/higher-education/new-mathways-project/new-mathways-project-curricular-materials/quantitative-reasoning-course/ (available as a MyMathLab course through
Pearson)
o
“Statistical Reasoning” course http://www.utdanacenter.org/higher-education/new-mathways-project/new-mathways-project-curricular-materials/statistical-reasoning-course/ (available as a MyMathLab course through
Pearson)
o
STEM-Prep Pathway http://www.utdanacenter.org/higher-education/new-mathways-project/new-mathways-project-curricular-materials/stem-prep-pathway-i-and-ii/
§
“Reasoning with Functions I” under development but the pilot is available
as a MyMathLab course through Pearson (Spring 2016)
§
“Reasoning with Functions II” to be developed
Complete College America
“Transform Remediation – the Co-Requisite Course Model” http://www.completecollege.org/docs/CCA%20Co-Req%20Model%20-%20Transform%20Remediation%20for%20Chicago%20final(1).pdf
Additional Information
Regarding the Importance of Pedagogy:
https://www.youtube.com/watch?v=-y3tN_1CiRk
“Taking College Teaching Seriously: Pedagogy Matters! Fostering Student Success Through
Faculty-Centered Practice Improvement”
Gail Mellow, Diana Woolis, Marisa Klages-Bombich, Susan Restler https://takingcollegeteachingseriously.kpublic.net/home