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Pacing Guide - Algebra Trimester 2 Standard #1: Algebra A.APR: Arithmetic with Polynomials and Rational Expressions A.APR.1 – I understand that polynomials form a system analogous to the integers and are closed under all operations. A.SSE: Seeing Structure in Expressions A.SSE.1 – I can interpret expressions and parts of an expression, such as terms, factors, and coefficients. A.SSE.2 – I can use the structure of an expression to identify ways to rewrite it. A.SSE.3 – I can choose and produce an equivalent form of an expression by factoring it using multiple methods. A.REI: Reasoning with Equations and Inequalities A.REI.3 – I can solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. A.REI.4 – I can solve quadratic equations in one variable. A.REI.11 – I can explain why the coordinates of graph intersect to find solutions and I can find approximate solutions for intersecting graphs. 1 DoesNotMeet.Thestudent demonstratesverylittle understandingofthegradelevel standard.Thestudentdoesnotshow anysignificantabilitytoperformthe skill. 2 Progressing.Thestudent demonstratesincomplete understandingofthegradelevel standard.Thestudentmakes significanterrorswhenperforming theskill. 3 Meetsexpectations.Thestudent demonstratescomplete understandingofthegradelevel standardwithveryfewerrorsin computation. 4 Exceedsexpectations.Thestudent demonstratescompleteanddetailed understandingofthegradelevel standardandexhibitssome understandingofthenextgradelevel standard. Standard #2: Functions F.BF: Building Functions F.BF.2 – I can write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations and translate between the two forms. F.BF.3 – I can identify the effect on a graph of replacing unknowns for specific values. F.LE: Linear, Quadratic and Exponential Models F.LE.1 – I can distinguish between situations that can be modeled with linear functions and with exponential functions. F.LE.2 - I can construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of relationship, or two input-output pairs (include reading these from a table). F.LE.3 – I can observe, using graphs and tables, that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or as a polynomial function. F.IF: Interpreting Functions F.IF.3 – I can recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. F.IF.4 – I can model functions of relationships between two quantities and can interpret key features of graphs and tables. F.IF.6 – I can calculate and interpret the average rate of change of a function over a specific interval. I can estimate the rate of change from a graph. F.IF.7 – I can graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. 1 DoesNotMeet.Thestudent demonstratesverylittle understandingofthegradelevel standard.Thestudentdoesnotshow anysignificantabilitytoperformthe skill. 2 Progressing.Thestudent demonstratesincomplete understandingofthegradelevel standard.Thestudentmakes significanterrorswhenperforming theskill. 3 Meetsexpectations.Thestudent demonstratescomplete understandingofthegradelevel standardwithveryfewerrorsin computation. 4 Exceedsexpectations.Thestudent demonstratescompleteanddetailed understandingofthegradelevel standardandexhibitssome understandingofthenextgradelevel standard. Standard #3: Numbers & Quantity N.RN: The Real Number System N.RN.1 – I can explain how the definition of the meaning of rational exponents follows from extending properties of integer exponents to those values. N.RN.2 – I can rewrite expressions involving radicals and rational exponents using the properties of exponents. N.RN.3 – I can explain why the sum or product of two 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. 1 DoesNotMeet.Thestudent demonstratesverylittle understandingofthegradelevel standard.Thestudentdoesnotshow anysignificantabilitytoperformthe skill. 2 Progressing.Thestudent demonstratesincomplete understandingofthegradelevel standard.Thestudentmakes significanterrorswhenperforming theskill. 3 Meetsexpectations.Thestudent demonstratescomplete understandingofthegradelevel standardwithveryfewerrorsin computation. 4 Exceedsexpectations.Thestudent demonstratescompleteanddetailed understandingofthegradelevel standardandexhibitssome understandingofthenextgradelevel standard.