Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
History of the function concept wikipedia , lookup
List of important publications in mathematics wikipedia , lookup
Elementary algebra wikipedia , lookup
System of polynomial equations wikipedia , lookup
History of algebra wikipedia , lookup
Quadratic reciprocity wikipedia , lookup
Mathematics of radio engineering wikipedia , lookup
ALGEBRA 1 SYLLABUS MRS. CAMMILLETTI FIRST QUARTER ASSE.21REWRITE NUMERICAL AND POLYNOMIAL EXPRESSIONS IN ONE VARIABLE. ASS.3AFACTOR QUADRATIC EXPRESSIONS TO FIND ZEROS. AAPR.11ADD, SUBTRACT, AND MULTIPLY POLYNOMIALS. ACED.41SOLVE EQUATIONS WITH SEVERAL VARIABLES FOR ONE VARIABLE. AREI.4B1SOLVE QUADRATIC EQUATIONS IN ONE VARIABLE BY INSPECTION, COMPLETING THE SQUARE, FACTORING AND QUADRATIC FORMULA. AREI.4B2RECOGNIZE WHEN QUADRATIC EQUATION GIVES COMPLEX SOLUTIONS. AREI.10UNDERSTAND THE GRAPHS OF CURVES AND LINES. AREI.111AFIND SOLUTIONS OF WHERE LINEAR AND QUADRATIC FUNCTIONS INTERSECT. AREI.12GRAPH SOLUTIONS TO A LINEAR INEQUALITY AND SYSTEMS OF LINEAR INEQUALITIES IN THE COORDINATE PLANE. FIF.1UNDERSTAND DOMAIN, RANGE AND THAT Y=F(X). FIF.61ACALCULATE AND INTERPRET THE RATE OF CHANGE OF A FUNCTION. SECOND QUARTER FIF.66AESTIMATE THE RATE OF CHANGE OF GRAPHS OF LINEAR AND QUADRATIC FUNCTIONS. FIF.7A1GRAPH LINEAR FUNCTIONS AND SHOW INTERCEPTS USING TECHNOLOGY. FIF.7A2GRAPH QUADRATIC FUNCTIONS SHOWING INTERCEPTS, MAXIMA, AND MINIMA, NRN.3SHOW THAT THE PRODUCT OF TWO RATIONAL NUMBERS IS RATIONAL, THE SUM OF A RATIONAL NUMBER AND IRRATIONAL NUMBER IS IRRATIONAL, AND THE PRODUCT OF A RATIONAL AND IRRATIONAL NUMBER IS IRRATIONAL. ASSE.11AINTERPRET EXPONENTIAL EXPRESSIONS WITH TERMS, COEFFICIENTS, AND FACTORS. ASSS.11BINTERPRET EXPONENTIAL EXPRESSION INCLUDING RELATED NUMERICAL EXPRESSIONS. ASSE.12INTERPRET QUADRATIC EXPRESSIONS THAT REPRESENT A QUANTITY IN TERMS OF ITS CONTEXT. ASSE.24USE OF STRUCTURE OF A NUMERICAL EXPRESSION OR POLYNOMIAL EXPRESSION IN ONE VARIABLE TO REWRITE IT. ASSE.3AFACTOR QUADRATIC EQUATIONS TO REVEAL ZEROS OF THE FUNCTION. ASSE.3BCOMPLETE THE SQUARE IN A QUADRATIC EXPRESSION TO REVEAL THE MAXIMUM OR MINIMUM VALUES. ASSE.3CUSE PROPERTIES OR EXPONENTS TO TRANSFORM EXPRESSIONS FOR EXPONENTIAL FUNCTIONS. THIRD QUARTER AAPR.31IDENTIFY ZEROS OF QUADRATIC AND CUBIC POLYNOMIALS. ACED.31SOLVE MULTISTEP CONTEXTUAL PROBLEMS THAT REQUIRE ANALYZING SYSTEMS OF LINEAR EQUATIONS IN TWO VARIABLES. ACED.42REARRANGE FUNCTIONS THAT ARE QUADRATIC. AREI.3SOLVE LINEAR EQUATIONS AND INEQUALITIES IN ONE VARIABLE ESPECIALLY THOSE WITH COEFFICIENTS REPRESENTED BY LETTERS. AREI.4A1SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE TO PUT INTO STANDARD FORM. AREI.61SOLVE MULTISTEP CONTEXTUAL PROBLEMS. AREI.111FIND WHERE LINEAR AND QUADRATIC FUNCTIONS INTERSECT. FIF.2USE FUNCTION NOTATION TO EVALUATE INPUTS IN THEIR DOMAIN. FIF.4ANALYZE GRAPHS BY FINDING INTERCEPTS, WHERE THE GRAPH IS INCREASING OR DECREASING, POSITIVE OR NEGATIVE, SYMMETRIES, AND BEHAVIOR. FIF.51RELATE THE DOMAIN OF ALL FUNCTIONS TO A GRAPH. FOURTH QUARTER FIF.52RELATE THE DOMAIN OF A QUADRATIC FUNCTION TO A GRAPH. FIF.61BCALCULATE AND INTERPRET AVERAGE RATE OF CHANGE. FIF.66BESTIMATE THE RATE OF CHANGE FROM A GRAPH USING LINEAR , QUADRATIC, SQUARE ROOT, CUBE ROOT, PIECEWISE, AND EXPONENTIAL FUNCTIONS. FIF.7BGRAPH FUNCTIONS EXPRESSED SYMBOLICALLY AND SHOW KEY FEATURES OF THE GRAPH. FIF.8AUSE FACTORING AND COMPLETING THE SQUARE IN A QUADRATIC FUNCTION. FIF.91COMPARE PROPERTIES OF FUNCTION EACH REPRESENTED IN A DIFFERENT WAY. FBF.31IDENTIFY THE EFFECT ON A LINEAR GRAPH BY REPLACING F(X) WITH F(X)+K, K(F(X)), F(KX), AND f(X+K). FBF.34 IDENTIFY THE EFFECT ON A QUADRATIC GRAPH BY REPLACING F(X) WITH F(X)+K, K(F(X)), F(KX), AND F(X+K). FLE.21 CONSTRUCT LINEAR AND EXPONENTIAL FUNCTIONS INCLUDING ARITHMETIC AND GEOMETRIC SEQUENCES. FLE.22SOLVE MULTISTEP CONTEXTUAL PROBLEMS WITH DEGREE OF DIFFICULTY. S.ID.5SUMMARIZE CATEGORICAL DATA FOR TWO CATEGORIES IN A TWO WAY FREQUENCY TABLES INCLUDING JOINT, MARGINAL AND CONDITIONAL RELATIVE FREQUENCIES.