Pikeville Independent Schools [ALGEBRA 1 CURRICULUM MAP ]

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1 Pikeville Independent School [ALGEBRA 1 CURRICULUM MAP ] Augut X X X September 1 2 X PreAlgebra Review Algebra Review Section 1.2 Interpret the tructure of expreion Undertand olving equation a a proce of reaoning and explain the reaoning Create equation that decribe number or relationhip Reaon quantitatively and ue unit to olve problem Introduction to cla, get to know you activitie, guideline for cla, expectation, etc. Real number review, review of abolute value, review oppoite number A.SSE.1a Interpret expreion that repreent a quantity in term of it context. A.SSE.1b Interpret expreion that repreent a quantity in term of context A.REI.1 Explain each tep in a olving a imple equation a following from the equality of number aerted at the previou tep, tarting from the aumption that the original equation ha a olution. A.CED.1 Create equation and inequalitie in one variable and ue them to olve problem N.Q.1 Ue unit a a way to undertand problem and to guide the olution of a multitep problem; chooe and interpret unit conitently in formula; chooe and interpret the cale and the Aign textbook, review yllabu etc. Suggeted Problem et Elayn Martin Gay Intermediate Algebra textbook (EMG) Section 1.2 EMG book Section 1.3 Order of operation extra practice/card ort activitie EMG book Section 2.1 Extra practice on ubtituting value in for variable EMG book ection 2.2 EMG book ection 2.3 I can undertand the mathematic retake policy I can undertand all claroom rule I can undertand the chool grading cale I can KEEEP UP with my BOOK I can identify and evaluate algebraic expreion I can identify natural, whole, integer, rational, irrational, and real number I can find abolute value of a number I can find the oppoite of a number I can write phrae a algebraic expreion I can evaluate expreion containing exponent I can evaluate algebraic expreion and determine the different between term and coefficient I can olve linear equation uing propertie of equality I can olve linear equation that can be implified by combining like term I can olve linear equation containing fraction and decimal I can recognize identitie and equation with no olution I can explain my tep in olving linear equation proce I can write algebraic expreion that can be implified I can apply the tep for problem olving with correct unit

2 Pikeville Independent School [ALGEBRA 1 CURRICULUM MAP ] Create equation that decribe number and relationhip Interpret the tructure of expreion Solve equation and inequalitie in one variable Interpreting Function origin in graph and data diplay N.Q.2 Define appropriate quantitie for the purpoe of decriptive modeling N.Q.3 Chooe a level of accuracy appropriate to limitation on meaurement when reporting quantitie A.CED.4 Rearrange formula to highlight a quantity of interet, uing the ame reaoning a in olving equation A.SSE.1b Interpret expreion that repreent a quantity in term of context A.REI.3 Solve linear equation and inequalitie in one variable including equation with coefficient repreented by letter F.IF.1 Undertand that a function from one et (called the domain) to another et (called the range) aign to each element of the domain exactly one element of the range. If f if a function and x i an element of it domain, then f(x) denote the output of f correponding to the input x. The graph of f i the graph of the equation y=f(x) F.IF.5 Relate domain of a function to it graph and, where applicable, to the quantitative relationhip it decribe. F.IF.7a Graph function expreed ymbolically and how key feature of the graph, by hand EMG book ection 2.4 EMG book ection 3.2 EMG book ection 3.3 I can olve a formula for a pecified variable I can ue formula to olve problem I can ue interval notation I can olve linear inequalitie uing the addition property of inequality I can olve linear inequalitie uing the multiplication and the addition propertie of inequality I can olve problem that can be modeled by linear inequalitie I can define relation, domain, and range I can identify function I can ue the vertical line tet for function I can find the domain and range of a function I can ue and undertand function notation I can graph linear function

3 Pikeville Independent School [ALGEBRA 1 CURRICULUM MAP ] October X X in imple cae and ue technology for more difficult one All the above Interpret Linear Model Interpret function that arie in application in term of context All the above S.ID.7 Interpret the lope (rate of change) and intercept (contant term) of a linear model in the context of the data F.IF.6 Calculate and interpret the average rate of change of a function over a pecified interval. Etimate the rate of change from a graph Nine week Comp Review/Exam (20% of overall tet/quiz grade) EMG book ection 3.4 All the above I can find the lope of a linear given two point I can find the lope of a line given the equation of a line I can interpret the lopeintercept form in application I can find the lope of horizontal and vertical line I can compare the lope of parallel and perpendicular line Build a function that model a relationhip between two quantitie Build new function from exiting function Interpreting function Interpret expreion for function in term of the ituation they model F.BF.1a Write a function that decribe a relationhip between two quantitie b Combine tandard function type uing arithmetic operation F.BF.3 Identify the effect on the graph of replacing f(x) by f(x) +k, and f(kx), and f(x+k) for pecific value of k F.IF.7b Graph function expreed ymbolically and how key feature of the graph, by hand in imple cae and uing technology for more complicated cae. Graph quare root, cube root, and piecewiedefined function, EMG book ection 3.5 EMG Section 3.6 I can ue the lopeintercept form to write the equation of a line I can graph a line uing it lope and yintercept I can ue the pointlope form to write the equation of a line I can find equation of parallel and perpendicular line I can graph piecewiedefined function I can determine vertical and horizontal hift I can reflect graph

4 Pikeville Independent School [ALGEBRA 1 CURRICULUM MAP ] November including tep function and abolute value function F.LE.5 Interpret the parameter in a linear or exponential function in term of context X X Create equation that decribe number or relationhip Create equation that decribe number or relationhip Solve Sytem of Equation Repreent and olve equation and inequalitie graphically A.CED.3 Repreent contraint by equation or inequalitie, and by ytem of equation and/or inequalitie, and interpret olution a viable or nonviable option in a modeling context A.CED.2 Create equation in two or more variable to repreent relationhip between quantitie, graph equation on a coordinate axe with label and cale A.REI.5 Prove that, given a ytem of two equation in two variable, replacing one equation by the um of that equation and a multiple of the other produce a ytem with the ame olution A. REI.6 Solve ytem of linear equation exactly and approximately focuing on pair of linear equation in two variable A.REI.7 Solve a imple ytem coniting of a linear equation and a quadratic equation in two variable algebraically and graphically. A.REI.10 Undertand that the graph of an equation in two variable i the et of all it olution plotted in the coordinate plate, often forming a curve (which could be a line.) EMG Section 3.7 EMG Section 4.1 EMG Section 4.3 I can graph linear inequalitie I can graph the interection or union of two linear inequalitie I can determine whether an ordered pair i a olution of a ytem of two linear equation I can olve a ytem by graphing, ubtitution, and elimination I can olve problem that can be modeled by a ytem of two linear equation

5 Pikeville Independent School [ALGEBRA 1 CURRICULUM MAP ] X X X X X December X X X X X X X X X X January X I can olve problem with cot and revenue function Repreent and olve equation and inequalitie graphically A.REI.12 Graph the olution to a linear inequality in two variable a a halfplane, and graph the olution et to a ytem of linear inequalitie in two variable a the interection of the correponding half plane. EMG Section 4.5 I can graph a ytem of linear inequalitie All of the above All of the above Semeter Review/Exam All of the above Interpret the tructure of expreion Undertand the concept of a function and ue function notation ASSE.1a Interpret part of an expreion uch a term, factor, and coefficient F.IF.2 Ue function notation, evaluate function for input in their domain, and interpret tatement that ue function notation in term of a context. EMG Section 5.3 I can identify term, contant, polynomial, monomial, binomial, trinomial, and the degree of a term of a polynomial I can define polynomial function I can add/ubtract polynomial I can recognize the graph of a polynomial function from the degree of a polynomial X Perform arithmetic operation on polynomial A.APR.1 Undertand that polynomial form a ytem analogou to the integer, namely, they are cloed under the operation of EMG Section 5.4 I can multiply two polynomial I can multiply binomial I can quare binomial

6 Pikeville Independent School [ALGEBRA 1 CURRICULUM MAP ] February Interpret the tructure of expreion Write expreion in equivalent form to olve problem Ue propertie of rational and irrational number addition, ubtraction, and multiplication A.SSE.2 Ue the tructure of an expreion to identify way to rewrite it A.SSE.3a Chooe and produce an equivalent form of an expreion to reveal and explain propertie of the quantity repreented by the expreion. N.RN.3 Explain why the um or product of two rational number i rational; that the um of a rational number and irrational number i irrational EMG Section 5.5 EMG Section 5.6 and 5.7 EMG Section 6.1 and 6.2 I can multiple the um and difference of two term I can multiple three or more polynomial I can evaluate polynomial function I can identify a GCF I can factor out the GCF of a polynomial term I can factor polynomial by grouping I can factor trinomial with a=1 I can factor trinomial when a doen t equal 1 I can factor trinomial by ubtitution I can factor a perfect quare trinomial I can factor the difference of two quare I can factor the um or difference of two cube I can find the domain of a rational expreion I can implify rational expreion I can multiply and divide rational expreion I can ue rational function in application I can add and ubtract rational expreion with common denominator I can identify the leat common denominator of two or more rational expreion

7 Pikeville Independent School [ALGEBRA 1 CURRICULUM MAP ] X March Extend the propertie of exponent to rational exponent Reaoning with equation and Inequalitie Write expreion in equivalent form to olve problem Solve equation and inequalitie in one variable Analyze function uing different repreentation N.RN.1 Explain how the definition of the meaning of rational exponent follow from extending the propertie of integer exponent to thoe value, allowing for a notation for radical in term of rational exponent N.RN.2 Rewrite expreion involving radical and rational exponent uing the propertie of exponent A.REI.4a Solve quadratic equation in one variable A.REI.4b Solve quadratic equation by inpection, taking quare root, completing the quare, the quadratic formula and factoring A.SSE.3b Chooe and produce an equivalent form of an expreion to reveal and explain propertie of the quantity repreent by the expreion Complete the quare in a quadratic expreion to reveal the maximum or minimum value of the function it define F.IF.8a Write a function defined by an expreion in different but equivalent form to reveal and explain different propertie of the function. Ue the proce of factoring and completing the quare in a quadratic function to how zero, extreme value, and ymmetry of the graph and interpret thee in term of context EMG Section 7. 1and 7.2 EMG Section 8.1 EMG Section 8.2 I can find quare root I can approximate root I can find cube and nth root I can graph quare and cube root function I can interpret fraction and negative fraction exponent I can ue rule for exponent to implify expreion containing rational exponent I can ue the quare root property to olve quadratic equation I can olve quadratic equation by completing the quare I can ue the quadratic equation to olve problem I can olve quadratic equation by uing the quadratic formula I can determine the number and type of olution of a quadratic equation by uing the dicriminant I can olve geometric problem modeled by quadratic equation

8 Pikeville Independent School [ALGEBRA 1 CURRICULUM MAP ] X X X X X April Analyze function uing different repreentation F.IF.9 Compare propertie of two function each repreented in a different way (algebraically, graphically, numerically in table, or by verbal decription). EMG 8.3 All of the above All of the above 9 week comp review/exam Interpret function that arie in application in term of the context Analyze function uing different repreentation F.IF.4 For a function that model a relationhip between two quantitie, interpret key feature of graph and table in term of the quantitie and ketch graph howing key feature given a verbal decription of the relationhip. Key feature include intercept, interval where decreaing and increaing, maximum, minimum, ymmetrie, end behavior, periodicity F.IF.5 Relate the domain of a function to it graph and, where applicable, to the quantitative relationhip it decribe. A.REI.11 Explain why the x coordinate of the point where the graph of the equation y=f(x) and y=g(x) interect are the olution of the equation f(x)=g(x); find EMG 9.1 EMG 8.5 and 8.6 I can olve variou equation that are quadratic in form I can olve problem that lead to quadratic equation All of the above I can graph quadratic function in all different form I can write quadratic function in vertex form I can derive a formula for finding the vertex of a parabola I can find the minimum or maximum value of a quadratic function I can find the domain/range of a quadratic function I can add, ubtract, multiply, divide function I can contruct compoite function

9 Pikeville Independent School [ALGEBRA 1 CURRICULUM MAP ] X X Reaoning with Equation and Inequalitie Building New Function from Exiting Function Interpreting function Contruct and compare linear and exponential model and olve problem Write expreion in equivalent form to olve problem the olution approximately F.LE.3 Oberve uing graph and table that a quantity increaing exponentially eventually exceed a quantity increaing linearly, quadratically, or more generally a a polynomial function. F.BF.4a Find the invere function Solve an equation of the form f(x)=c for a imple function f that ha an invere and write an expreion for the invere. F.IF.8b Write a function defined by an expreion in different but equivalent form to reveal and explain different propertie of the function. Ue propertie of exponent to interpret expreion F.LE.1a Ditinguih between ituation that can be modeled with linear function and with exponential function. Prove linear grow equal ditance while exponential grow by equal factor F.LE.1b Recognize ituation in which one quantity change at a contant EMG 9.2, 9.3 & 9.7 I can determine if a function i onetoone I can find the invere of a function I can find the equation of the invere of a function I can determine whether two function are invere of each other I can graph exponential function I can olve equation b x =b y I can olve problem modeled by exponential equation I can compare multiple kind of graph I can olve exponential equation

10 Pikeville Independent School [ALGEBRA 1 CURRICULUM MAP ] rate per unit interval relative to another F.LE.1c Recognize ituation in which a quantity grow or decay by a contant percent A.SSE.3c Ue the propertie of exponent to tranform expreion for exponential function F.IF.7e Graph exponential and logarithmic function howing intercept and end behavior, and trigonometric function, howing period, midline, and amplitude May Undertand the concept of a function and ue function notation Contruct and compare linear, quadratic, and exponential model to olve problem Build function that model a relationhip between two quantitie F.IF.3 Recognize that equence are function, ometime defined recurively, whoe domain i a ubet of the integer F.BF.2 Write arithmetic and geometric equence both recurively and with an explicit form, ue them to model ituation, and tranlate between the two form F.LE.2 Contruct linear and exponential function, including arithmetic and geometric equence, given a graph, a decription of relationhip, or two inputoutput pair. EMG 11.1 and 11.2 I can write the term of a equence given it general term I can find the general term of a equence I can olve application that involve equence I can identify arithmetic equence and common difference I can identify geometric equence and their common ratio

11 Pikeville Independent School [ALGEBRA 1 CURRICULUM MAP ] Summarize, repreent, and interpret data Interpret linear model S.ID.1Repreent data with plot on the real number line S.ID.2 Ue tatitic to the hape of the data ditribution S.ID.3 Interpret difference in hape, center and pread in the context of data et, accounting for poible effect of extreme data point S.ID.5 Summarize categorical data for two categorie in twoway frequency table. Interpret relative frequencie S.ID.6 Repreent data on two quantitative variable on a catter plot, and decribe how the variable are related. S. ID.8 Compute and interpret correlation coefficient of a linear fit S.ID.9 Ditinguih between correlation and cauation Undertanding Baic Statitic upplemental book Pg End of year Review/Exam I can find the correlation coefficient with ue of technology I can plot data on a real number line I can interpret data ditribution I can determine the relation between variable