# FUNdamental Math

#### Course Features

#### Course Details

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.

This course was developed by the International Academy of Science.

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**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.