Bartlett Honors AIM 3

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    Scope & Sequence

     

    1st Semester

    Unit 1F: Statistics (Freshmen Only) (Spanish)

    • Making inferences on a random sample S.IC.1
    • Using simulations S.IC.2
    • Surveys, experiments, observational studies S.IC.3
    • Population mean and margin of error S.IC.4
    • Randomized experiments S.IC.5
    • Evaluate reports based on data S.IC.6
    • Represent and describe 2 variable data relationship S.ID.6
    • Fit a normal distribution S.ID.4

    Unit 1S: Geometric Proofs (Sophomore Only) (Spanish)

    • Algebraic coordinate proofs G.GPE.4
    • Slope with parallel and perpendicular lines G.GPE.5
    • Partition a line segment G.GPE.6
    • Circle similarity G.C.1
    • Lines and angles G.CO.9
    • Triangles G.CO.10
    • Parallelograms G.CO.11
    • Side‐splitter, Pythagorean, proof by similarity G.SRT.4

    Unit 2: Probability (Spanish)

    • Events and subsets S.CP.1
    • Def of independent S.CP.2
    • P(A and B)/P(B) S.CP.3
    • Two‐way frequency tables S.CP.4
    • Conditional & independent in everyday language) S.CP.6(conditional  prob of A given B) S.CP.5
    • Addition rule S.CP.7
    • Multiplication rule S.CP.8
    • Permutation and combination to solve problems S.CP.9
    • Fair decisions S.MD.6
    • Analyze using probability S.MD.7

    Unit 3: Representing Polynomial Functions (Spanish)

    • Rewrite expressions A.SSE.2
    • Solve equations A.REI.1
    • Remainder Theorem A.APR.2
    • Polynomial identities A.APR.4
    • Constraints and interpret solutions A.CED.3
    • Define quantities N.Q.2
    • Inverse of a function F.BF.4a

    Unit 4: Modeling Polynomial Functions (Spanish)

    • Graph equations A.CED.2
    • Zeros and graphs of polynomials A.APR.3
    • Solve systems of equations A.REI.11
    • Interpret key features F.IF.4
    • Average rate of change F.IF.6
    • Graph polynomial functions; identify key features F.IF.7c
    • Compare functions from different representations F.IF.9
    • Transformations using k F.BF.3
    • Equation of a parabola G.GPE.2

    Unit 5: Rational Functions (Spanish)

    • Rewrite expressions A.SSE.2
    • Create rational equations and inequalities A.CED.1
    • Solve rational equations A.REI.2
    • Interpret key features F.IF.4
    • Rewrite rational expressions A.APR.6
    • Rational expression operations A.APR.7
    • Inverse functions F.BF.4
    • Graph and Interpret key features F.IF.7d

     

    2nd Semester

    Unit 6: Radical Function (Spanish)

    • Solve radical equations A.REI.2
    • Interpret key features F.IF.4
    • Average rate of change F.IF.6
    • Compare functions from different representations F.IF.9
    • Transformations using k F.BF.3

    Unit 7: Exponential & Logarithmic Functions (Spanish)

    • Define quantities N.Q.2
    • Sum of a finite geometric series A.SSE.4
    • Create exponential equations and inequalities A.CED.1
    • Graph equations A.CED.2
    • Solve systems of equations A.REI.11
    • Graph exponential and logarithmic functions; key features F.IF.7e
    • Express exponentials as logarithms F.LE.4
    • Average rate of change F.IF.6
    • Compare functions from different representations F.IF.9
    • Transformations using k F.BF.3
    • Inverse of a function F.BF.4a
    • Use Inverse to solve F.BF.5

    Unit 8: Trigonometry and the Unit Circle (Spanish)

    • Radian measure in a unit circle F.TF.1
    • Trigonometric functions with real number domain F.TF.2
    • Special triangles F.TF.3
    • Symmetry and periodicy F.TF.4
    • Pythagorean Identity F.TF.8

    Unit 9: Represent and Apply Trigonometry (Spanish)

    • Interpret key features F.IF.4
    • Graph trigonometric functions F.IF.7e
    • Transformations using k F.BF.3
    • Compare functions from different representations F.IF.9
    • Model with trigonometric functions F.TF.5
    • Inverse construction F.TF.6
    • Inverse functions to solve F.TF.7
    • Average rate of change F.IF.6

    Unit 10: Trigonometry Law of Sines & Cosines (Spanish)

    • Prove addition and subtraction formulas for sine, cosine, and  tangent and use them to solve problems F.TF.9
    • Prove the law of sines and cosines and use them to solve problems G.SRT. 10
    • Understand and apply the law of sines and cosines to find  unknown measurements in right and non‐right triangles G.SRT.11