Algebra 1 CP Curriculum Pacing Guide 2017-2018 1 CP Pacing...Algebra 1 CP – Curriculum Pacing...

Algebra 1 CP – Curriculum Pacing Guide – 2017-2018

Anderson School District Five 2017-2018

Unit 1 - Foundations and Introduction to Functions

A1.AREI.10 Explain that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane. A1.FIF.1 Extend previous knowledge of a function to apply to general behavior and features of a function.

A1.FIF.1a Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range.

A1.FIF.1b Represent a function using function notation and explain that f (x) denotes the output of a function f that corresponds to the input x.

A1.FIF.1c Understand that the graph of a function labeled as f is the set of all ordered pairs (x, y) that satisfy the equation y = f (x). A1.FIF.2 Evaluate functions and interpret the meaning of expressions involving function notation from a mathematical perspective and in terms of the

context when the function describes a real-world situation. A1.NQ.1 Use units of measurement to guide the solution of multi-step tasks. Choose and interpret appropriate labels, units, and scales when constructing

graphs and other data displays.

A1.NQ.2 Label and define appropriate quantities in descriptive modeling contexts. A1.NQ.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities in context.

A1.NRNS.3 Explain why the sum or product of rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.


Essential Tasks/Key Concepts Resources/Activities Textbook

Reference

Review real numbers, properties of real

numbers, and operations with real numbers.

Use the Closure property to explain and identify whether sums or products of two real

numbers is rational or irrational.

● http://www.math-drills.com/algebra.shtml#translating (to generate worksheets)

● Real numbers Venn Diagram Project

Real-Number System p P7

Closure Property pp 21 & 634

Evaluate numerical expressions and algebraic

expressions using the order of operations. Use substitution to simplify expressions.

● Order of Operations Practice Sheet ● http://writingtolearntoteach.wordpress.com/2012/08/10/my-favorite-friday-order-of-

operations-activity/ (Activity to use for order of operations)

● http://illuminations.nctm.org/LessonDetail.aspx?id=L730 (Order of operations Bingo game)

● https://itunes.apple.com/us/app/5-dice-order-operations-game/id572774867?ls=1&mt=8 (Ipad App)

p 10

http://www.math-drills.com/algebra.shtml#translating

http://writingtolearntoteach.wordpress.com/2012/08/10/my-favorite-friday-order-of-operations-activity/

http://writingtolearntoteach.wordpress.com/2012/08/10/my-favorite-friday-order-of-operations-activity/

http://illuminations.nctm.org/LessonDetail.aspx?id=L730

https://itunes.apple.com/us/app/5-dice-order-operations-game/id572774867?ls=1&mt=8

https://itunes.apple.com/us/app/5-dice-order-operations-game/id572774867?ls=1&mt=8




Essential Tasks/Key Concepts Resources/Activities Textbook Reference

Use the distributive property to simplify expressions.

● Integers and Like Terms

● Expression and Property Jeopardy

● Combining Like Terms Matching

● http://www.superteachertools.com/jeopardy/usergames/Feb201107/game1298233590.php (Combining Like Terms & distributive property game review)

p 25

Represent mathematical data using graphs, tables, equations, and ordered pairs. Include

mapping diagrams and vertical line test. (Use vocabulary: functions, function notation,

relations)

Determine whether a relation is a function.

Find the domain and range and use function notation.

● What’s Your Function Card Game ● Linear Functions and patterns, tables and graphs Worksheet

● Function Basics Worksheet ● Algebra Discovery Activities (has 48 pages of ideas)

● Function Flow Chart ● Function Web

pp 40, 47

Identify and represent patterns that describe

linear functions. Identify and represent patterns that describe

non-linear functions.

● Attack of the Worms Worksheet

● Parameters of Real Life Modeling Worksheet ● Interpreting stories as graphs worksheet

● Function Bridge

p 50

Translate algebraic expressions (symbols to words and vice versa)

Write equations from verbal expressions and create linear equations to represent real-world

applications.

● Expression Bingo p 5

Unit Review and Test

http://www.superteachertools.com/jeopardy/usergames/Feb201107/game1298233590.php

http://www.superteachertools.com/jeopardy/usergames/Feb201107/game1298233590.php



Unit 2 – Solving Equations

A1.ACE.1 Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable. (Limit to linear; quadratic; exponential with

integer exponents.) A1.ACE.2 Create equations in two or more variables to represent relationships between quantities. Graph the equations on coordinate axes using

appropriate labels, units, and scales. (Limit to linear; quadratic; exponential with integer exponents; direct and indirect variation.)

A1.ACE.4 Solve literal equations and formulas for a specified variable including equations and formulas that arise in a variety of disciplines. A1.AREI.1 Understand and justify that the steps taken when solving simple equations in one variable create new equations that have the same solution as

the original. A1.AREI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Unit 2 - Solving Equations


Reference

Solve two-step equations in one variable.

Create two-step equations in one variable to solve real-

world problems. (Review if needed)

Solve multi-step equations in one variable.

Create multi-step equations in one variable to solve

real-world problems

● Algebra Tiles ● Hands on Equations Kit

● Equation Frames ● Equation Bingo

● http://www.onlinemathlearning.com/solving-two-step-equations-integers.html (Game to practice solving)

● http://www.onlinemathlearning.com/solving-two-step-equations-fractions.html (Solving with fractions)

● http://www.onlinemathlearning.com/solving-multple-step-equations.html (Game to practice)

p 91

Solve equations with variables on both sides and use them to solve real-world problems.

Vocabulary: One solution, no solution, infinitely many

solutions (also called all solutions and identity).

● Solving Equations Exam Review

● Problem Solving Equations ● Sums of Consecutive Integers

● Word Problems

● http://www.onlinemathlearning.com/solving-equations-techniques.html (Game to practice solving)

p 97

http://www.onlinemathlearning.com/solving-two-step-equations-integers.html

http://www.onlinemathlearning.com/solving-two-step-equations-fractions.html

http://www.onlinemathlearning.com/solving-two-step-equations-fractions.html

http://www.onlinemathlearning.com/solving-multple-step-equations.html

http://www.onlinemathlearning.com/solving-equations-techniques.html



Unit 2 - Solving Equations


Solve proportions and use them to solve real-world problems.

Include:

Using proportions to find missing lengths in similar figures

Using similar figures to measure indirectly

Solving percent problems using proportions and by setting up an equation

● Proportion Lesson Directions

● Proportion Scavenger Problems ● Proportions Problems

● Introduction Proportion Problems

● http://www.teachforever.com/2007/09/lesson-idea-proportions-and-

ratios.html (Activity to create a statue of the student)

p 20

Rewrite and use literal equations to solve real-world problems.

● Substitution and Simplifying Literal Equations

● http://mathequalslove.blogspot.com/2013/06/literal-equations-scavenger-

hunt.html (Scavenger Hunt) ● http://www.quia.com/cb/77775.html (Jeopardy type review of all equations)

p 126

Solve absolute value equations. ● Absolute Value Stations p 103


http://www.teachforever.com/2007/09/lesson-idea-proportions-and-ratios.html

http://www.teachforever.com/2007/09/lesson-idea-proportions-and-ratios.html

http://mathequalslove.blogspot.com/2013/06/literal-equations-scavenger-hunt.html

http://mathequalslove.blogspot.com/2013/06/literal-equations-scavenger-hunt.html

http://www.quia.com/cb/77775.html



Unit 2 – Solving Inequalities

A1.ACE.1 Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable. (Limit to linear; quadratic; exponential with

integer exponents.) A1.AREI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Unit 2 - Solving Inequalities


Write, graph, solve and identify solutions of multi-step inequalities.(number line)

(include vocabulary: is more than, is less than, at most, at least, etc.)

Create and solve inequalities for real-world problems.

● Error Checking with Inequalities ● Partner Problems Inequalities

● Tic Tac Toe Inequalities Gameboard

● Fast Food Nutrition Facts

● http://www.quia.com/rr/521133.html?AP_rand=528408548 (Game similar to Milliionaire to practice solving equations)

pp 283-305

Find the union and intersections of sets

Write sets using set notation and identify subsets.

Students should be able to find the complement of a set.

● Worksheet using Set Notation ● Venn Diagrams Worksheet

● http://www.univie.ac.at/moe/tests/mengen/duv.html (Match with picture of

Venn Diagram)

pp 286, 306

Solve and graph absolute value inequalities. ● Absolute Value Inequality Activities from Virginia p 312


http://www.quia.com/rr/521133.html?AP_rand=528408548

http://www.univie.ac.at/moe/tests/mengen/duv.html



Unit 4 – Linear Functions

A1.ACE.1 Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable. (Limit to linear)

A1.ACE.2 Create equations in two or more variables to represent relationships between quantities. Graph the equations on coordinate axes using appropriate labels, units, and scales. (Limit to linear and direct and indirect variation.)

A1.AREI.10 Explain that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane.

A1.AREI.12 Graph the solutions to a linear inequality in two variables. A1.FBF.3 Describe the effect of the transformations k f (x), f (x) + k, f (x + k), and combinations of such transformations on the graph of y = f (x) for any

real number k. Find the value of k given the graphs and write the equation of a transformed parent function given its graph. (Limit to linear) A1.FIF.4 Interpret key features of a function that models the relationship between two quantities when given in graphical or tabular form. Sketch the

graph of a function from a verbal description showing key features. Key features include intercepts; intervals where the function is increasing,

decreasing, constant, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity. (Limit to linear) A1.FIF.6 Given a function in graphical, symbolic, or tabular form, determine the average rate of change of the function over a specified interval. Interpret

the meaning of the average rate of change in a given context. (Limit to linear) A1.FIF.7 Graph functions from their symbolic representations. Indicate key features including intercepts; intervals where the function is increasing,

decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity. Graph simple cases by hand and use technology for complicated cases. (Limit to linear)

A1.FLQE.1 Distinguish between situations that can be modeled with linear functions or exponential functions by recognizing situations in which one quantity

changes at a constant rate per unit interval as opposed to those in which a quantity changes by constant percent rate per unit interval. A1.FLQE.1a Prove that linear functions grow by equal differences over equal intervals and prove that exponential functions grow by equal factors over equal

intervals. A1.FLQE.5 Interpret the parameters in a linear or exponential function in terms of the context. (Limit to linear.)

A1.SPID.6 Using technology, create scatterplots and analyze those plots to compare the fit of linear, quadratic, or exponential models to a given data set.

Select the appropriate model, fit a function to the data set, and use the function to solve problems in the context of the data. A1.SPID.7 Create a linear function to graphically model data from a real-world problem and interpret the meaning of the slope and intercept(s) in the context

of the given problem. A1.SPID.8 Using technology, compute and interpret the correlation coefficient of a linear fit.





Reference

Determine the rate of change from a table.

Find the slope of a line from a graph, table, and

two points.

Interpret slope in the context of the problem.

● Exploring Slope Worksheet

● Criminal Justice Slope Activity

● Create a Foldable for Equations of Lines ● Ski Slope Design

● Linear Patterns Worksheet ● http://commoncoremath.wikispaces.com/file/view/College+Board+Slope+Packet.pdf

(using toothpicks to explore slope) ● http://illuminations.nctm.org/LessonDetail.aspx?id=L586 (pedal power slope)

p 172

Write and graph the equation of a direct variation problem.

Write and graph the equation of an indirect (also called inverse) variation problem.

● Direct Variation Practice pp 182, 675

Investigate the effects of changing parts of y=mx+b.

Interpret the slope and the intercept in the context of the data.

Write a linear equation using slope-intercept

form.

Graph a linear equation that is in slope-

intercept form.

● Investigate slope intercept worksheet

● Explore slope and intercept using washers worksheet ● Linear Function Project

● Spaghetti Linear Lab

● Using Slope Intercept Form to Graph ● Game – Equation Graph Card Match

● Stained Glass Window Graphs ● http://hotmath.com/hotmath_help/games/kp/kp_hotmath_sound.swf (Game for

students) ● http://quizlet.com/3510027/51-write-equations-in-slope-intercept-form-flash-cards/ (to

identify slope and y-intercepts)

● http://www.quia.com/cz/43460.html?AP_rand=664726840 (computer app to write the equation of the line after identifying slope and intercept from graph)

p 226

Write and graph linear equations using point-slope form.

● Slippery Slope Activities to write equations Worksheets p 233

Write linear equations in standard form. Graph linear equations using the intercepts.

● http://mathequalslove.blogspot.com/2012/12/standard-form-of-linear-equation.html

(idea for interactive notebook)

● http://www.quia.com/rr/49074.html (Computer game using intercepts)

pp 155, 234

http://commoncoremath.wikispaces.com/file/view/College+Board+Slope+Packet.pdf


http://hotmath.com/hotmath_help/games/kp/kp_hotmath_sound.swf

http://quizlet.com/3510027/51-write-equations-in-slope-intercept-form-flash-cards/

http://www.quia.com/cz/43460.html?AP_rand=664726840

http://mathequalslove.blogspot.com/2012/12/standard-form-of-linear-equation.html

http://www.quia.com/rr/49074.html





Determine whether lines are parallel, perpendicular, or neither (intersecting).

Write the equation of parallel and perpendicular

lines.

● Parallel and perpendicular line investigation worksheet

● Designing roads using parallel and perpendicular worksheet ● Guided discovery parallel & perpendicular using computer app worksheet

● Parallel and Perpendicular Race

p 239

Graph a scatter plot and write the equation of a

trend line or a line of best fit and use this equation to make predictions.

Distinguish between correlation and

causation.(S.ID.6b) Find the residual and assess the fit of the line

based on the values of the residuals.

● Cricket Chirps Worksheet

● Notes on scatter plots and trend lines Worksheet ● Human body proportions worksheet

● Bucket Brigade ● Tying Knots

● Hula hoop activity worksheet

● Modeling real world data with regression worksheet

● http://illuminations.nctm.org/LessonDetail.aspx?ID=L298 (explore linear functions) ● http://www.shodor.org/interactivate/discussions/FindingResiduals/ (interactive on

computer for residuals)

pp 247, 254, 255

Graph linear inequalities in two variables and use linear inequalities to model real-world

problems.

● Kuta Graphing Inequality worksheet ● Guided Practice Linear Inequalities worksheet

p 317

Unit Review and Test ● http://www.superteachertools.com/jeopardyx/jeopardy-review-

game.php?gamefile=1298945667 (Review game)

MIDTERM EXAM

http://illuminations.nctm.org/LessonDetail.aspx?ID=L298

http://www.shodor.org/interactivate/discussions/FindingResiduals/

http://www.superteachertools.com/jeopardyx/jeopardy-review-game.php?gamefile=1298945667




Unit 5 – Systems of Equations and Inequalities

AREI.6 Solve systems of linear equations algebraically and graphically focusing on pairs of linear equations in two variables.

A1.AREI.6a Solve systems of linear equations using the substitution method. A1.AREI.6b Solve systems of linear equations using linear combination.

AREI.11 Solve an equation of the form f (x) = g (x) graphically by identifying the x-coordinate(s) of the point(s) of intersection of the graphs of y = f (x)

and y = g (x). (Limit to linear) AREI.12 Graph the solutions to a linear inequality in two variables.



Reference

Solve systems of linear equations by graphing (and

graphing calculator).

● http://www.learner.org/workshops/algebra/workshop3/lessonplan1.html (right hand vs left hand)

● http://illuminations.nctm.org/LessonDetail.aspx?id=L724 (supply & demand)

● http://illuminations.nctm.org/LessonDetail.aspx?id=L271 (printing books) ● http://illuminations.nctm.org/LessonDetail.aspx?ID=L698 (escape from the

tomb)

p 335

Solve systems of linear equations using substitution. ● Fund Raiser Activity

● Game Memory Systems of Equations Substitution p 344

Solve systems of linear equations using elimination.

Solve systems of linear equations using matrices and

the graphing calculator.

● Elimination Worksheet (scavenger hunt) pp 350, 357, 370

Solve real-world application problems using systems of

equations, including distance-rate-time problems and mixture problems.

● Solving Real Life Systems Problems worksheet ● Systems Word Problems worksheet

● Mixture Word Problems worksheet ● Systems Short Response Questions

● Systems Word Problems 1 and 2 ● Systems Trashketball

● http://www.regentsprep.org/Regents/math/ALGEBRA/AE3/PracWord.htm (real life problems)

p 364

http://www.learner.org/workshops/algebra/workshop3/lessonplan1.html



http://illuminations.nctm.org/LessonDetail.aspx?ID=L698

http://www.regentsprep.org/Regents/math/ALGEBRA/AE3/PracWord.htm





Solve a system of linear inequalities in two variables

by graphing and use them to model real-world problems.

● Systems of linear inequalities worksheet ● System of inequalities project

p 372

Unit Review & Test ● http://www.superteachertools.com/jeopardyx/jeopardy-review-

game.php?gamefile=1297688635 (review game)





Unit 6 Laws of Exponential and Radical Expressions

A1.NRNS.1 Rewrite expressions involving simple radicals and rational exponents in different forms. A1.NRNS.2 Use the definition of the meaning of rational exponents to translate between rational exponent and radical form

Unit 6 Laws of Exponential and Radical Expressions


Reference

Simplify expressions involving zero and negative exponents. ● Negative exponent worksheet ● http://classroom.jc-schools.net/basic/math-expon.html (Different

exponent games)

p 401

Multiply powers with the same base. ● Dice and exponents worksheet

● Exploring Rules of exponents worksheet p 391

Raise a power to a power and raise a product to a power. ● http://www.youtube.com/watch?v=z1T0_9NLufA (video of exponent

rules) p 392

Divide powers with the same base and raise a quotient to a power.

● http://pinterest.com/pdale/exponents/ (pinterest ideas) p 398

Simplify radicals.

Simplify rational exponents.

pp 628, 406

Unit Review & Test

http://classroom.jc-schools.net/basic/math-expon.html

http://www.youtube.com/watch?v=z1T0_9NLufA

http://pinterest.com/pdale/exponents/



Unit 7 – Polynomials & Factoring

A1.AAPR.1 Add, subtract, and multiply polynomials and understand that polynomials are closed under these operations. (Limit to linear; quadratic.) A1.REI.4 Solve mathematical and real-world problems involving quadratic equations in one variable. (Only factoring)

A1.AREI.4a Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – h)2 = k that has the same

solutions. Derive the quadratic formula from this form.

A1.AREI.4b Solve quadratic equations by inspection, taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a + bi for real numbers a and b.

(Limit to non-complex roots.) A1.ASE.1 Interpret the meanings of coefficients, factors, terms, and expressions based on their real-world contexts. Interpret complicated expressions as

being composed of simpler expressions. (Limit to linear; quadratic; exponential.)

A1.ASE.2 Analyze the structure of binomials, trinomials, and other polynomials in order to rewrite equivalent expressions.



Classify polynomials by degree and by number of terms.

Add and subtract polynomials.

● Algebra Tiles to combine polynomials worksheet ● Mix and Match polynomials

● http://handsonmathinhighschool.blogspot.com/2013/02/polynomial-

factoring-scavenger-hunt.html (scavenger hunt)

p 465

Multiply a monomial by a polynomial. Factor a monomial from a polynomial.

● https://sites.google.com/site/multiplyingpolynomialsresource/ (resources on multiplying polynomials)

p 472

Multiply two binomials or a binomial by a polynomial.

● Multiply binomials and polynomials game

● Graphic Organizer polynomials ● Bull’s eye polynomial worksheet

● Matching Polynomials

p 480

Find the square of a binomial and find the product of a sum

and difference. p 487

http://handsonmathinhighschool.blogspot.com/2013/02/polynomial-factoring-scavenger-hunt.html

http://handsonmathinhighschool.blogspot.com/2013/02/polynomial-factoring-scavenger-hunt.html

https://sites.google.com/site/multiplyingpolynomialsresource/





Factor trinomials of the form 𝑥2 + 𝑏𝑥 + 𝑐.

● Factoring Game

● Factor cutout game

● Connect Four Factor Game ● Factoring Bingo

● http://www.youtube.com/watch?v=OFSrINhfNsQ (Song…Teach me how to factor)

p 503

Factor trinomials of the form 𝑎𝑥2 + 𝑏𝑥 + 𝑐. ● http://pinterest.com/leatchk/polys-factoring/ (pinterest ideas)

● http://algebrafunsheets.com/blog/2008/11/22/slide-and-divide-method-

of-factoring-trinomials/ (Slide & divide method of factoring?)

p 510

Factor perfect square trinomials and the differences of two squares.

pp 516-529

Factor higher degree polynomials by grouping. ● Graphic organizer factoring

● Factor by Grouping Worksheet (Kuta) p 495


● Hollywood Squares Factoring Game

● Jeopardy Factor Review ● Factoring Around the Room

http://www.youtube.com/watch?v=OFSrINhfNsQ

http://pinterest.com/leatchk/polys-factoring/

http://algebrafunsheets.com/blog/2008/11/22/slide-and-divide-method-of-factoring-trinomials/

http://algebrafunsheets.com/blog/2008/11/22/slide-and-divide-method-of-factoring-trinomials/



Unit 8 – Quadratic Functions & Equations

A1.ACE.1 Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and

exponential relationships. Interpret the solutions and determine whether they are reasonable. (Limit to quadratic) A1.ACE.2 Create equations in two or more variables to represent relationships between quantities. Graph the equations on coordinate axes using

appropriate labels, units, and scales. (Limit to quadratic)

A1.AREI.4 Solve mathematical and real-world problems involving quadratic equations in one variable. A1.AREI.4a Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – h)2 = k that has the same

solutions. Derive the quadratic formula from this form. A1.AREI.4b Solve quadratic equations by inspection, taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the

initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a + bi for real numbers a and b.

(Limit to non-complex roots.)

A1.AREI.11 Solve an equation of the form f (x) = g (x) graphically by identifying the x-coordinate(s) of the point(s) of intersection of the graphs of y = f (x) and y = g (x). (Limit to linear; quadratic; exponential.)

A1.ASE.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

A1.ASE.3a Find the zeros of a quadratic function by rewriting it in equivalent factored form and explain the connection between the zeros of the function, its linear factors, the x-intercepts of its graph, and the solutions to the corresponding quadratic equation.

A1.FBF.3 Describe the effect of the transformations k f (x), f (x) + k, f (x + k), and combinations of such transformations on the graph of y = f (x) for any real number k. Find the value of k given the graphs and write the equation of a transformed parent function given its graph. (Limit to quadratic)

A1.FIF.5 Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes. (Limit to linear; quadratic; exponential.)

A1.FIF.6 Given a function in graphical, symbolic, or tabular form, determine the average rate of change of the function over a specified interval. Interpret the meaning of the average rate of change in a given context. (Limit to linear; quadratic; exponential.)

A1.FIF.7 Graph functions from their symbolic representations. Indicate key features including intercepts; intervals where the function is increasing,

decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity. Graph simple cases by hand and use technology for complicated cases. (Limit to linear; quadratic; exponential only in the form y = ax + k.)

A1.FIF.8 Translate between different but equivalent forms of a function equation to reveal and explain different properties of the function. (Limit to linear; quadratic; exponential.)

A1.FIF.9 Compare properties of two function given in different representations such as algebraic, graphical, tabular, or verbal. (Limit to linear; quadratic;

exponential.)





Reference

Graph quadratic functions using x|y charts and study the effects of changing a and/or c.

Identify the vertex as a maximum or a minimum.

Identify the domain and range from the graph of a quadratic function.

● Who Shares my Quadratic function Worksheet

● Graphing Quadratic Function Worksheet (Kuta) p 543

Find the vertex and axis of symmetry using 𝑥 = −𝑏

2𝑎 and

use it to graph quadratic functions of the form 𝑦 = 𝑎𝑥2 +𝑏𝑥 + 𝑐.

p 543

Determine the average rate of change between two points

on a quadratic function. ● Average Rate of Change for Quadratics Worksheet p 554

Solve quadratic equations by graphing, using the graphing calculator, and by square roots.

● http://mathbits.com/MathBits/TISection/Algebra2/quadraticequations.htm (instructions)

p 555

Solve quadratic equations by factoring. ● Puzzle to solve polynomial p 558

Applications of Quadratics - Real World Problems ● Golf Ball Toss

● Hole in Bottle Quadratics Unit 9

Complete the square to solve a quadratic equation.

Complete the square to write a quadratic function in vertex

form and use it to graph the quadratic and identify the

max/min, line of symmetry, domain, and range.

p 574

http://mathbits.com/MathBits/TISection/Algebra2/quadraticequations.htm





Solve systems of equations by graphing and graphing

calculator. (Linear/Quadratic, Quadratic/Exponential, Linear/Absolute Value etc.)

● http://mathbits.com/MathBits/TISection/Algebra1/LinQuad.htm (Calculator instructions are shown.

p 572


http://mathbits.com/MathBits/TISection/Algebra1/LinQuad.htm



Unit 9 – Parent Functions and Transformations

A1.FBF.3 Describe the effect of the transformations k f (x), f (x) + k, f (x + k), and combinations of such transformations on the graph of y = f (x) for any real number k. Find the value of k given the graphs and write the equation of a transformed parent function given its graph. (Limit to linear;

quadratic; exponential with integer exponents; vertical shift and vertical stretch.) A1.FIF.1c Understand that the graph of a function labeled as f is the set of all ordered pairs (x, y) that satisfy the equation y = f (x).

A1.FIF.5 Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes. (Limit to linear;

quadratic; exponential.)

Unit 9 – Parent Functions and Transformations


Reference

Introduce parent functions (linear, quadratic, exponential, absolute value, square root, inverse) and talk about

transformations.

● Algebra Aerobics

● Transformation PowerPoint ● Quadratic Modeling Worksheet

● Basketball Activity for Quadratics Worksheet ● Tables of Linear Patterns Worksheet

● Graphing Linear Equations and Guess the Rule

● Lines Lines Everywhere on the GC Worksheet ● Yoyo & Penny Problems to Explore Linear Functions Worksheet

pp 621, 627, 564, 599, 55, 678



Unit 10 – Exponential Functions

A1.ACE.2 Create equations in two or more variables to represent relationships between quantities. Graph the equations on coordinate axes using

appropriate labels, units, and scales. (Limit to linear; quadratic; exponential with integer exponents; direct and indirect variation.) A1.FBF.3 Describe the effect of the transformations k f (x), f (x) + k, f (x + k), and combinations of such transformations on the graph of y = f (x) for any

real number k. Find the value of k given the graphs and write the equation of a transformed parent function given its graph. (Limit to linear;

quadratic; exponential with integer exponents; vertical shift and vertical stretch.) A1.FIF.4 Interpret key features of a function that models the relationship between two quantities when given in graphical or tabular form. Sketch the

graph of a function from a verbal description showing key features. Key features include intercepts; intervals where the function is increasing, decreasing, constant, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity. (Limit to linear;

quadratic; exponential.)

A1.FIF.5 Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes. (Limit to linear; quadratic; exponential.)

A1.FIF.7 Graph functions from their symbolic representations. Indicate key features including intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity. Graph simple cases by hand and

use technology for complicated cases. (Limit to linear; quadratic; exponential only in the form y = ax + k.) A1.FIF.9 Compare properties of two function given in different representations such as algebraic, graphical, tabular, or verbal. (Limit to linear; quadratic;

exponential.)

A1.FLQE.1 Distinguish between situations that can be modeled with linear functions or exponential functions by recognizing situations in which one quantity changes at a constant rate per unit interval as opposed to those in which a quantity changes by constant percent rate per unit interval.

A1.FLQE.2 Create symbolic representations of linear and exponential functions, including arithmetic and geometric sequences, given graphs, verbal descriptions, and tables. (Limit to linear; exponential.)

A1.FLQE.3 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or more

generally as a polynomial function.



Evaluate and graph exponential functions.

Sketch the graph of a function from a verbal description showing key features.

Key features include intercepts; intervals where the function is increasing, decreasing, positive, or negative;

relative maximums and minimums; end behavior and periodicity.

● Exponential graphs and the GC worksheet p 424





Model growth and decay using exponential functions. ● Exploring Exponential Growth worksheet ● Paper folding activity

p 432

Write and use recursive and explicit formulas for geometric sequences and arithmetic sequences.

● Exponential Hulk Worksheet pp 189, 438-450

Compare linear, quadratic, and exponential functions graphically, tabularly, and verbally.

● Kangaroo functions Worksheet p 590


EOC Review

EOC Review

● Function Challenges Worksheet

● http://math.rice.edu/~lanius/Algebra/hottub.html (Hot tub...tell the story)

http://math.rice.edu/~lanius/Algebra/hottub.html

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