K-Algebra I - Coppell Independent School District

Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Algebra IApplying Multiple Representations for Foundations of Functions(5) Algebraic reasoning. Thestudent appliesmathematical processstandards to analyze andcreate patterns andrelationships. The student isexpected to:(E) represent real‐worldrelationships using numberpairs in a table and verbaldescriptions.(5) Algebraic reasoning. Thestudent appliesmathematical processstandards to developconcepts of expressions andequations. The student isexpected to:(B) represent problemsusing an input‐output tableand numerical expressionsto generate a numberpattern that follows a givenrule representing therelationship of the values inthe resulting sequence andtheir position in thesequence.(4) Algebraic reasoning. Thestudent appliesmathematical processstandards to developconcepts of expressions andequations. The student isexpected to:(C) generate a numericalpattern when given a rule inthe form y = ax or y = x + aand graph.(D) recognize the differencebetween additive andmultiplicative numericalpatterns given in a table orgraph.(4) Proportionality. Thestudent appliesmathematical processstandards to develop anunderstanding ofproportional relationships inproblem situations. Thestudent is expected to:(A) compare two rulesverbally, numerically,graphically, and symbolicallyin the form of y = ax ory = x + a in order todifferentiate betweenadditive and multiplicativerelationships.(6) Expressions, equations,and relationships. Thestudent appliesmathematical processstandards to use multiplerepresentations to describealgebraic relationships. Thestudent is expected to:(A) identify independent anddependent quantities fromtables and graphs.(B) write an equation thatrepresents the relationshipbetween independent anddependent quantities from atable.(C) represent a givensituation using verbaldescriptions, tables, graphs,and equations in the formy = kx or y = x + b.(4) Proportionality. Thestudent appliesmathematical processstandards to represent andsolve problems involvingproportional relationships.The student is expected to:(A) represent constantrates of change inmathematical and real‐worldproblems given pictorial,tabular, verbal, numeric,graphical, and algebraicrepresentations, includingd = rt.(C) determine the constantof proportionality (k = y/x)within mathematical andreal‐world problems.(7) Expressions, equations,and relationships. Thestudent appliesmathematical processstandards to represent linearrelationships using multiplerepresentations. The studentis expected to:(A) represent linearrelationships using verbaldescriptions, tables, graphs,and equations that simplifyto the form y = mx + b.(5) Proportionality. The studentapplies mathematical processstandards to use proportionaland non‐proportionalrelationships to developfoundational concepts offunctions. The student isexpected to:(A) represent linear proportionalsituations with tables, graphs,and equations in the form ofy = kx.(E) solve problems involvingdirect variation.(B) represent linear nonproportionalsituations withtables, graphs, and equations inthe form of y = mx + b, whereb ≠ 0.(I) write an equation in theform y = mx + b to model a linearrelationship between twoquantities using verbal,numerical, tabular, and graphicalrepresentations.(F) distinguish betweenproportional and nonproportionalsituations usingtables, graphs, and equations inthe form y = kx or y = mx + b,where b ≠ 0.(2) Linear functions,equations, and inequalities.The student applies themathematical processstandards when usingproperties of linearfunctions to write andrepresent in multiple ways,with and withouttechnology, linearequations, inequalities, andsystems of equations. Thestudent is expected to:(D) write and solveequations involving directvariation.(B) write linear equations intwo variables in variousforms, including y = mx + b,Ax + By = C, andy ‐ y 1 = m(x ‐ x 1), given onepoint and the slope andgiven two points.(C) write linear equations intwo variables given a tableof values, a graph, and averbal description.©2013 Texas Education Agency. All Rights Reserved 2013 Introduction to the Revised Mathematics TEKS: Vertical Alignment Chart Kindergarten – Algebra I 21