Math B1 Curriculum

1.      Rational Expressions

·        Factoring review

·        Simplifying rational expressions; Undefined Fractions

·        Multiplying/dividing rational expressions

·        Adding/subtracting rational expressions (same denominators)

·        Adding/subtracting rational expressions (different denominators)

·        Complex fractions

·        Fractional equations

2.      Radicals and Exponents

·        Simplifying Radicals

·        Operations with Radicals

·        Rationalizing the Denominator

·        Radical Equations

·        Laws of Exponents (include zero and negative exponents)

·        Fractional Exponents

·        Equations with Fractional or Negative Exponents

3.      Complex Numbers

·        Imaginary Numbers/ Powers of

·        Operations with Imaginary Numbers (+, –, ×)

·        Operations with Complex Numbers (+, –, ×)

·        Dividing Complex Numbers/ Multiplicative inverse

·        Graphing Complex Numbers

4.      Quadratics

·        Graphing Parabolas review; Finding parts of a parabola (axis of symmetry, turning point, roots) graphically and algebraically

·        Quadratic formula

·        Nature of the Roots

·        Finding a, b, or c given the nature of the roots

·        Sum and product of the roots; Writing Quadratic Equations

·        Quadratic Systems (algebraically, graphically)

·        Quadratic Applications

·        Profit and Revenue

5.      Inequalities and Equations

·        Review graphing solutions on a number line (conjunctions & disjunctions)

·        Absolute Value Equations

·        Absolute Value Inequalities

·        Quadratic Inequalities

6.      Transformations

·        Review of formulas

·        Composition of transformations; glide reflections

·        Isometries

7.      Coordinate Geometry Proofs

·        Distance, slope, and midpoint formulas

·        Proving isosceles and equilateral triangles

·        Proving right triangles

·        Proving quadrilaterals – parallelograms, rectangles, squares, rhombuses, trapezoids, isosceles trapezoids

8.      Euclidean Geometry Proofs

·        Geometry definitions and properties

·        Triangle congruence using SSS, SAS, ASA, AAS, HL

·        CPCTC

·        Triangle similarity using AA

·        CSSTP

·        Indirect Proofs

9.      Circles

·        Circle parts

·        Central angles, inscribed angles, angles formed by chords

·        Angles outside the circle (tan-tan, tan-sec, sec-sec);

angles formed by a tangent and a chord

·        Lengths of tangents / tangent-radius relationship

·        Lengths of segments of tangents and secants

·        Lengths of chords

10. Circle Proofs

·        Circle Proofs (using triangle )

·        Circle similarity proofs

11. Conics

·        Circles

·        Ellipses

·        Hyperbolas

·        Inverse Variation

·        Inverse Variation Hyperbolas

·        Recognizing Equations of Conics

·        Solving systems of equations algebraically and graphically