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Pre AP Integrated Math 2 Plus - 240715                Pre AP Integrated Math 3 Plus - 240815
                10 Credits                                  Grade(s) 11-12   10 credits                                      Grade(s) 10-11
                             1 Year Course                                         1 Year Course
            UC Requirement                     c                      UC Requirement                 c
            CSU Requirement                  Math                     CSU Requirement              Math
            School Site(s)           BCHS, LHS, MHS, THS                School Sites       BCHS, LHS, MHS, THS
            Description:  In Integrated Mathematics II, students   Description:   In Pre-AP Integrated  Math  3, students
            will  build  on  their  learning  from  Integrated  1  and   will build on their learning from Integrated Math 1 and
            continue to  make connections among concepts from     Pre-AP Integrated Math 2 and engagement in the Eight
            algebra,  geometry,  functions,  and  probability  to  be   Mathematical Practices with a focus on four critical
            connected to the  eight Mathematical Practices.       areas  of  Mathematics  III:    (1)  apply  methods  from
            Instruction  for  this  course  will  focus  on  the  following   probability and statistics  to draw inferences and
            areas:  (1) extend the  laws of exponents too rational   conclusions from date; (2) expand understanding of
            exponents:  (2) compare key characteristics of quadratic   functions to  include polynomial, rational, and radical
            functions with those of linear  and  exponential      functions; (3) expand right triangle trigonometry to
            functions:  (3) crease and solve  equations  and      include general triangles; and (4) consolidate functions
            inequalities  involving  linear,  exponential,  and   and geometry to create models  and solve contextual
            quadratic expressions:   (4)  extend work with        problems.  Additionally, Pre-AP Integrated Math 3 will
            probability;  and  (5)  establish  criteria  for  similarity  of   provide instruction on the College & Career Ready (+)
            triangles based on dilations and proportional reasoning.   standards in Integrated 3, including complex numbers,
            This course will  also cover seven additional (=)     trigonometry, and probability, as well as several of the
            standards to prepare students for advanced courses:  (1)   College & Career Ready (+) standards  unique to Pre-
            extend polynomial identities to the complex numbers;   calculus, incorporating further instructional time on
            (2) know the Fundamental Theorem of Algebra and       complex numbers, trigonometry, inverse functions, and
            show that it is true for quadratic polynomials; (3)   polar coordinates.  Students successful in Pre-AP
            construct a tangent  line from a point outside  a given   Integrated Math 3, along with the prerequisite Pre-AP
            circle to the circle; (4) apply the general Multiplication   Integrated  Math  2,  will  have  had  the  requisite  Pre-
            Rule in a uniform probability model and interpret the   calculus  instruction  to  be  ready  to  move  directly  to
            answer in terms of the model; (5) use permutations and   Calculus.
            combinations to compute  probabilities  of compound
            events and solve problems; (6) use the probabilities to   Math 180 Course 2 – 246300
            make fair decisions; and (7) analyze decisions and        10 Credits                                     Grade(s) 9-12
            strategies using probability concepts.                                 1 Year Course
                                                                  School Sites              MHS
            Integrated Math 3 – 240810                            Description: Math 180 Course II is the second year of a
                     10 credits                      Grade(s) 11   comprehensive intervention program designed to equip
                             1 Year Course                        students with the knowledge, reasoning and confidence
                UC Requirement                 c                  to be successful in Integrated Math I.
               CSU Requirement               Math
                 School Site(s)      BCHS, LHS, MHS, THS          High School Math – 245700
            Description:   In Integrated Mathematics III, students     10 Credits                               Grade(s) 9-10
            integrate and apply the mathematics they have learned                  1 Year Course
            from  their  earlier  courses.    This  course  includes   School Sites        BCHS, IHS,  LHS, MHS,
            standards  from  the  conceptual  categories  of  Number                               THS
            and  Quantity,  Algebra,  Functions,  Geometry,  and   Description:   High School  Math uses  a problem-based
            Statistics and Probability.  For the Integrated       approach  with  concrete  models.    The  course  helps
            Mathematics III course, instructional time will focus on   students to develop multiple strategies to solve
            four critical areas:  (1) apply methods from probability   problems and to recognize the connections between
            and statistics to draw inferences and conclusions from   concepts.  The lessons in the course meet all  of the
            data; (2) expand understanding of functions to include   content standards and  embed the “Mathematical
            polynomial, rational, and radical functions; (3) expand   Practices” of the Common Core State Standards
            right triangle trigonometry to include general triangles;   released in June 2010.
            and (4) consolidate functions and geometry to create
            models and solve contextual problems.







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