Integrated Math 2A

Integrated Math 2, semester one

Recommended Ages: 14 and Up

Recommended Number of Credits: ​5- (equivalent to one semester)

The course is designed to be aligned with state and national common core standards.

1. Lines and Angle Theorems
        1.1 Types & Parts of Angles
        1.2 Angle Relationships
        1.3 Proving Angles Congruent
        1.4 Parallel Lines and Transversals
        1.5 Parallel and Perpendicular Lines
2. Triangles
        2.1 The Triangle Midsegment Theorem
        2.2 The Circumcenter- Perpendicular Bisectors of a Triangle
        2.3 Angle Bisectors
        2.4 The Incenter (Bisectors in Triangles)
        2.5 The Centroid (Medians of Triangles)
        2.6 The Orthocenter (Altitudes of Triangles)
        2.7 Indirect Proofs
        2.8 Inequalities in One Triangle
        2.9 Inequalities in Two Triangles
3. Quadrilaterals
        3.1 The Polygon Angle-Sum Theorems
        3.2 Properties of Parallelograms
        3.3 Properties of Rhombuses and Kites
        3.4 Properties of Rectangles, and Squares
        3.5 Properties of Trapezoids
        3.6 Coordinate Geometry
4. Similarity
        4.1 Similar Polygons
        4.2 Dilations
        4.3 Proving Triangles Similar by AA
        4.4 Proving Triangles Similar by SSS
        4.5 Proving Triangles Similar by SAS
        4.6 Similarity in Right Triangles
        4.7 Proportions in Triangles
5. Right Triangles and Trigonometry
        5.1 The Pythagorean Theorem
        5.2 Special Right Triangles
        5.3 Sin, Cos, Tan
        5.4 Angles of Elevation and Depression
        5.5 Areas of Regular Polygons using Trig
6. Circles
        6.1 Radius, Chord, Diameter, Secant, & Tangent
        6.2 Finding Arc Measures
        6.3 Finding Circumference and Arc Lengths
        6.4 Chord Theorems
        6.5 Inscribed Angles
        6.6 Angle Relationship in Circles
        6.7 Segment Relationships in Circles
        6.8 Finding Circle and Sector Areas
        6.9 Circles in the Coordinate Plane
7. Surface Area and Volume
        7.1 Areas of Regular Polygons
        7.2 Surface Areas of Prisms and Cylinders
        7.3 Surface Areas of Pyramids and Cones
        7.4 Volumes of Prisms and Cylinders
        7.5 Volumes of Pyramids and Cones
        7.6 Surface Areas and Volumes of Spheres
        7.7 Areas and Volumes of Similar Solids