This next step after Shiller Math Level I focuses on approximately grade 4 and above math skills using a Montessori teaching methodology. If you’re unsure about your student’s placement, the publisher has placement testing available for a fee. Kit II naturally progresses from Books 1-3 used in ShillerMath I Kit, covering math skills from grade 4 through approximately grade 8, teaching multiple years’ worth of skills incrementally using three different spiral-bound texts. Each of the included books provides four review tests to help ensure mastery.
To give you a sense of the concepts taught, the 144 lessons in Book 4 start with a review of multiplication and division practice and then move into the Law of Commutativity. Students will work on measurement and money, and then move on to geometry concepts, notation, percentages, order of operations, mathematical logic, plotting, distributive law, converting measurements, decimals, and “long multiplication.” Book 5 (152 lessons) starts with factoring, working with larger numbers, problem solving and mental math, “long division,” bar charts, probability, graphing distance over time, commutative law, associate law, geometry concepts, number theory, compass directions, Venn diagrams, averages, and long division with 2-digit divisors. The 165 lessons in Book 6 begin with geometric concepts, including quadrilaterals and symmetry; area; equation commutativity and simultaneous equations; problem-solving strategies; perimeter; negative numbers; verbal problems; graphing factors, points, and curves; permutations; proofs; common divisors; circumference; decimals; solving for unknowns; linear algebra; powers and exponents; Pythagorean theorem; and end with square roots. Upon completing these three books, the publisher states that the student should be ready to pursue upper-level math concepts. For high school level math courses, we recommend taking the placement tests of the program you select.
Contents include Lesson Books 4-6 with review tests; all needed manipulatives; lifetime digital access to PDFs of student consumable pages; Parent Guide; Kit II audio CD; 3-ring binder; division table pad, degreed circle pad, and graph worksheet pad; tracking sheets and manipulatives. Answer Keys, consumable pages, scoresheets and other items on the previously included CD are now included as lifetime digital downloads. Upon purchase, email Shiller Math your receipt or proof of purchase and the link for digital downloads will be emailed to you.