Unit 1 – Introduction and Basic FoundationIn this unit students explore addition, subtraction, multiplication, and division of whole numbers, divisibility rules, and prime and composite numbers. They study greatest common factors, prime factorization, place value, estimating, order of operations, powers of ten, and formulas and variables.Unit 2 – FractionsNext students discuss ratios, rates, proportions, improper and mixed fractions, and simplifying fractions. They explore least common multiples and adding, subtracting, multiplying, and dividing fractions and mixed numbers.Unit 3 – DecimalsIn this unit students investigate adding, subtracting, and multiplying decimals, as well as dividing decimals by whole numbers and by powers of ten. They discuss comparing and ordering decimals, and terminating and repeating decimals.Unit 4 – Decimals and FractionsStudents continue by studying standard and scientific notation, the metric system, and forms and types of percent. They investigate simple interest, applied percent, and circle graphs.Unit 5 – ProbabilityNext students learn about the counting principle, tree diagrams, basic probability, and independent and dependent events. They learn about using probability for prediction, as well as about factorials, permutations (ordered subsets), and combinations (unordered subsets).Unit 6 – StatisticsStudents begin the study of statistics, exploring mean, median, mode, range, frequency tables, and pictographs. They study reading and interpreting graphs; bar, broken-line, and other graphs; and misleading statistics. Following this unit students are presented with the Mid-Term Review and Exam.Unit 7 – Geometry of Angles and LinesIn this unit students discuss geometry symbols, planes, and points. They explore lines (including parallel lines and transversals), and angles.Unit 8 – PolygonsNext students investigate the sum of the angles of a triangle, how to classify a triangle, and the difference between congruent and similar triangles. They explore quadrilaterals and other polygons, as well as angles in regular polygons.Unit 9 – Perimeter, Area, and VolumeIn this unit students learn about perimeter and area in two-dimensional shapes. They also investigate volume and surface area in three-dimensional shapes.Unit 10 – Miscellaneous GeometryBeginning this unit with square roots and the Pythagorean Theorem, students continue by studying circles. They also learn about transformations and symmetry.Unit 11 – Pre-AlgebraIn this unit students explore set notation and Venn Diagrams, as well as comparing, ordering, adding, subtracting, multiplying and dividing integers. They investigate absolute value, as well as adding, subtracting, multiplying, and dividing integers. They study the order of operations and the properties of mathematics. They consider basic graphing.Unit 12 – Beginning AlgebraNext students discuss comparing, ordering, adding, subtracting, multiplying, and dividing rational numbers. They study expressions and equations, order of operations with and without variables, and the meaning of algebraic symbols. They also explore one- and two-step equations, as well as decimals and fractions. They analyze formulas, literal equations, patterns, functions, graphing straight lines, and basic inequalities.Unit 13 - Precision and Scientific NotationTo complete their study of math in this course, students study significant figures, including those with a decimal. They discuss degree of precision and learn to add and subtract numbers in scientific notation. They practice using scientific notation in real-world situations. Following this unit students are presented with the Final Review and Exam.