Upload
duongcong
View
217
Download
1
Embed Size (px)
Citation preview
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 1 2017-2018
Algebra 1 A/B is a yearlong course that incorporates a math lab elective. During the lab students use Imagine Math as a resource.
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 2 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.
Unit 1 - Foundations and Introduction to Functions
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
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 3 2017-2018
Unit 1 - Foundations and Introduction to Functions
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
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 4 2017-2018
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
Essential Tasks/Key Concepts Resources/Activities Textbook
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
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 5 2017-2018
Unit 2 - Solving Equations
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
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
Unit Review and Test
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 6 2017-2018
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
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
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
Unit Review and Test
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 7 2017-2018
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.
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 8 2017-2018
Unit 4 – Linear Functions
Essential Tasks/Key Concepts Resources/Activities Textbook
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
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 9 2017-2018
Unit 4 – Linear Functions
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
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
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 10 2017-2018
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.
Unit 5 – Systems of Equations and Inequalities
Essential Tasks/Key Concepts Resources/Activities Textbook
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
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 11 2017-2018
Unit 5 – Systems of Equations and Inequalities
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
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)
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 12 2017-2018
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
Essential Tasks/Key Concepts Resources/Activities Textbook
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
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 13 2017-2018
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.
Unit 7 – Polynomials & Factoring
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
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
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 14 2017-2018
Unit 7 – Polynomials & Factoring
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
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
Unit Review and Test
● Hollywood Squares Factoring Game
● Jeopardy Factor Review ● Factoring Around the Room
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 15 2017-2018
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.)
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 16 2017-2018
Unit 8 – Quadratic Functions & Equations
Essential Tasks/Key Concepts Resources/Activities Textbook
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
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 17 2017-2018
Unit 8 – Quadratic Functions & Equations
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
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
Unit Review and Test
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 18 2017-2018
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
Essential Tasks/Key Concepts Resources/Activities Textbook
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
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 19 2017-2018
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.
Unit 10 – Exponential Functions
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
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
Algebra 1 A/B – Curriculum Pacing Guide – 2017-2018
Anderson School District Five Page 20 2017-2018
Unit 10 – Exponential Functions
Essential Tasks/Key Concepts Resources/Activities Textbook Reference
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
Unit Review and Test
EOC Review
EOC Review
● Function Challenges Worksheet
● http://math.rice.edu/~lanius/Algebra/hottub.html (Hot tub...tell the
story)