Math A3/A4

Scope and Sequence

Schenectady High School Department of Mathematics

I.  Preliminaries

            A.  Properties of Real Numbers     NY5 (p. 683)/NY18/NY21

            B.  Order of Operations/Operating on Integers       NY19/NY20

            C.  Properties of Exponents & Scientific Notation      NY22/NY23

            D.  Solving One-Step Equations    NY27

            E.  Solving Two-Step Equations     NY28

            F.  Solving Literal Equations          p. 680

            G.  Solving Inequalities                NY30 & p. 677

II.  Foundations for Geometry

A.       Points, Lines & Planes                       1-2, 1-3

B.       Pairs of Angles         1-4, 1-5, 1-7

C.       Using Formulas in Geometry     

D.      Midpoint & Distance Formulas NY42, 1-8

III.  Lines in the Plane

            A.  Slope of a Line          NY31

            B.  Direct Variation          NY32

            C.  Slope-Intercept Form  NY33

            D.  Equation of a Line      NY34

            E.  Parallel & Perpendicular Lines   2-3, NY35

            F.  Lines & Angles  7-1

            G.  Angles formed by Parallel Lines & Transversals  7-1

IV.  Properties & Attributes of Triangles

A.       Classifying Triangles  2-1, 4-2

B.       Angle Relationships in Triangles  4-6

C.      The Triangle Midsegment Theorem  4-4

D.      The Pythagorean Theorem  5-3

E.       Applying Special Right Triangles  5-4

V.   Polygons & Quadrilaterals

            A.  Properties & Attributes of Polygons  2-4, 2-2

            B.  Properties of Parallelograms  2-4

            C.  Circles  2-5

            C.  Conditions for Parallelograms

VI.  Similarity

            A.   Ratio & Proportion     NY29/p. 675 & p. 676

            B.   Ratios in Similar Polygons  2-6

            C.   Using Proportional Relationships

VII.  Right Triangle Trigonometry

A.       Trigonometric Ratios  NY43

B.       Angles of Elevation & Depression  11-3

VIII.  Area, Circumference, & Perimeter

A.       Triangles & Quadrilaterals  5-2, 5-3

B.       Circles & Regular Polygons  5-6, 5-7

C.      Composite Figures  5-8

D.      Perimeter & Area in the Coordinate Plane

IX.  Spatial Reasoning

A.       Solid Geometry  6-1

B.       Representations of 3-D Figures

C.      Formulas in 3-D  6-2, 6-3, 6-4, 6-5

X.  Transformations

            A.  Reflections  3-1

            B.  Translations  3-2

            C.  Rotations  3-3

            D.  Symmetry  3-5

            E.  Dilations 3-7

            F.  Dilations & Similarity in the Coordinate Plane  3-7