# FUNdamental Math

### Course Overview

The Acellus FUNMath course was developed to ensure that students have a strong foundation in basic mathematical concepts prior to introducing them to more advanced topics. We have found that students often have difficulty in Algebra when they have a weak foundation in mathematics. Acellus FUNMath helps to fill in the holes in student understanding, providing them with a strong foundation of basic mathematical concepts upon which they can build. It is recommended that students take Acellus FUNMath at either the end of grade 7 or 8 or at the beginning of grade 9 as a refresher for those preparing to go into Algebra.  A Spanish version of FUNMath is also available. Course topics include:
• Whole Number Operations
• Order of Operations
• Fractions/Decimals/Percentages
• Probabilities (including permutations and combinations)
• Statistics (mean, median, mode, range, and graphs)
• Planes, Points, Lines, and Angles
• Polygons (types of polygons and several properties)
• Perimeter, Area, and Volume
• Square Roots
• Pythagorean Theorem
• Absolute Value
• Integer Operations
• Basic Graphing
• Operations using Rational Numbers
• One- and Two-Step Equations
• Basic Inequalities
Acellus FUNMath is based on NCTM standards.  It is taught by award-winning Acellus Master Teacher, Patrick Mara.

### Course Objectives & Student Learning Outcomes

Upon completion of Acellus FUNMath, students will be able to add, subtract, multiply, and divide whole numbers; determine divisibility; compare and contrast prime and composite numbers calculate greatest common factors; factor; choose place value; estimate; implement order of operations; utilize formulas with variables; calculate ratios, rates, and proportions; compare and contrast and manipulate improper and mixed fractions; simplify fractions; find least common multiples; add, subtract, multiply, and divide fractions, mixed numbers, simple fractions, and mixed numbers; add, subtract and multiply decimals; divide decimals by whole numbers; compare and order decimals; divide decimals by powers of ten; and solve terminating and repeating decimal problems.

Students will also be able to utilize standard and scientific notation; find or convert measures to the metric system; solve percent, simple interest, and applied percent problems; create and read circle graphs; implement counting principle and create and read tree diagrams; calculate basic probability; choose, compare and contract independent and dependent events; predict with probability; identify factorials; find permutations in ordered subsets and combinations in unordered subsets; find mean, median, mode and range; read and interpret frequency tables, pictographs, and bar graphs, broken line graphs and other graphs; and judge misleading statistics.

Students will be able to identify, create and measure planes, points, and lines to include parallel lines and transversals; read and use geometry symbols; find the sum of angles of a triangle and regular polygons; classify triangles, quadrilaterals, and other polygons; compare and contrast congruent versus similar triangles; find length and perimeter; and find area, volume and surface area for 2-dimensional shapes and 3-dimensional figures.

Finally, students will be able to calculate square roots and implement the Pythagorean Theorem; identify, classify, and measure circles and transformations; find symmetry; implement set notation; identify, create, and read Venn Diagrams; compare and order integers; find absolute value; add, subtract, multiply, and divide integers; use order of operations with integers; solve problems with zero and with identify, commutative, associate, and distributive properties; create, read, and manipulate basic graphs, ordered pairs, and the coordinate plane; compare, order, add, subtract, multiply, and divide rational numbers to include decimals and fractions; discriminate expressions from equations; solve problems using order of operations with and without variables; translate algebraic words to symbols; solve one-step and two-step equations; use formulas and literal equations; identify patterns and functions; graph straight lines; find slope of a line; solve basic inequalities problems; find and use significant figures and significant digits with decimals; judge degree of precision; and add and subtract numbers in scientific notation.

### Scope and Sequence

Unit 1 – Introduction and Basic Foundation This unit covers addition, subtraction, multiplication, and division of whole numbers, divisibility rules, prime and composite numbers, greatest common factors, prime factorization, place value, estimating, order of operations, powers of ten, and formulas and variables. Unit 2 – Fractions This unit discusses ratios, rates, proportions, improper and mixed fractions, simplifying fractions, least common multiples, adding, subtracting, multiplying, and dividing fractions and mixed numbers. Unit 3 – Decimals This unit covers adding, subtracting, and multiplying decimals, as well as dividing decimals by whole numbers and by powers of ten, comparing and ordering decimals, and terminating and repeating decimals. Unit 4 – Decimals and Fractions This unit discusses standard and scientific notation, the metric system, forms and types of percent, simple interest and applied percent, and circle graphs. Unit 5 – Probability This unit covers the counting principle, tree diagrams, basic probability, independent and dependent events, using probability for prediction, factorials, permutations, and combinations. Unit 6 – Statistics This unit discusses mean, median, mode, range, frequency tables, and pictographs. Also covered are reading and interpreting graphs; bar, broken-line, and other graphs; and misleading statistics. Unit 7 – Geometry of Angles and Lines This unit discusses geometry symbols, planes, points, lines (including parallel lines and transversals), and angles. Unit 8 – Polygons This unit discusses triangles, quadrilaterals, and other polygons, as well as angles in triangles and regular polygons. Unit 9 – Perimeter, Area, and Volume This unit covers perimeter, area, volume, and surface area. Unit 10 – Miscellaneous Geometry This unit discusses square roots, the Pythagorean Theorem, circles, transformations, and symmetry. Unit 11 – Pre-Algebra This unit covers set notation and Venn Diagrams, comparing, ordering, adding, subtracting, multiplying and dividing integers, absolute value, and order of operations. Also covered are the zero, identity, commutative, associative, and distributive properties, and basic graphing including ordered pairs and the coordinate plane. Unit 12 – Beginning Algebra This unit covers comparing, ordering, adding, subtracting, multiplying, and dividing rational numbers, as well as expressions and equations, order of operations with and without variables, and the meaning of algebraic symbols. Also discussed are one- and two-step equations, decimals and fractions, formulas, literal equations, patterns, functions, graphing straight lines, and basic inequalities.