Integrated Math 2 The middle year of the integrated pathway, and the year of the quadratic. Rational exponents extend the number system, factoring and the quadratic formula solve every quadratic there is — complex numbers included — and on the geometry side dilation defines similarity, which in turn makes the trigonometric ratios well defined.
The course — 9 units, in order
01 Rational Exponents & Radicals Extending the exponent rules to fractional powers, simplifying radicals, and why the sum of a rational and an irrational number is always irrational. Start 02 Polynomials & Factoring Adding, subtracting and multiplying polynomials; the closure of the system; and every factoring technique from a common factor to the difference of squares. Start 03 Quadratic Functions The parabola and its vertex, the three forms of a quadratic and what each reveals, transformations of the graph, and comparing quadratic against linear and exponential growth. Start 04 Solving Quadratic Equations Factoring, square roots, completing the square and the quadratic formula; the discriminant; and complex numbers, which arrive because some parabolas never cross the axis. Start 05 Similarity & Dilations Dilation as the one non-rigid transformation, similarity defined by it, the AA criterion, and how similar triangles prove the side-splitter and midsegment theorems. Start 06 Right-Triangle Trigonometry Sine, cosine and tangent as ratios that similarity makes well defined, the special triangles, solving right triangles, and the complementary-angle relationship. Start 07 Circles Central and inscribed angles, tangents and chords, arc length and sector area, and the equation of a circle derived from the distance formula. Start 08 Geometric Measurement & Modelling Where the volume formulas come from and why a leaning solid matches an upright one; solving forwards and backwards with volume and surface area; cross-sections and solids of revolution; and density and design problems. Start 09 Probability Sample spaces and events, unions and intersections, conditional probability and independence, two-way tables as probability models, and the addition and multiplication rules. Start When you have finished the course
Practice Exams 3 full-course papers, every unit represented. The result breaks down by unit, so it names what to go back to. Open