Topics include constructions of angle bisectors and perpendicular bisectors, and the various properties of triangles, quadrilaterals, and more general polygons, quadrilateral diagonals, circle terminology and construction, and applications of circles in the real-world.
Topics include representing and comparing positive rational numbers (integers, fractions and decimals), finding multiples and factors of positive integers, determining the least common multiple (LCM) and the greatest common factor (GCF) of a pair of positive integers, representing negative fractions and negative decimals, comparing the values of any two rational numbers, exponential notation, and using factor trees and prime factorization to find the LCM or the GCF of a pair of positive integers.
Topics include adding and subtracting rational numbers, multiplying and dividing a whole number by a positive rational number, and evaluating expressions using the order of operations, multiplying, and dividing integers, fractions and decimal numbers, approximating square roots of positive integers, and evaluating expressions that include exponents using the order of operations.
Topics include representing sequences using tables, general terms and graphs, describing patterns using variables and expressions, extending sequences, solving problems involving unknown quantities, equivalent expressions for the general term of a sequence, describing relationships and patterns using equations, and decreasing and naturally occurring sequences.