# Pre-Algebra – FUNdamental Math – Spanish

#### Course Features

#### Course Details

Course Overview

Acellus FUNMath Spanish was developed to ensure that students whose primary language is Spanish have a strong foundation in basic mathematical concepts , prior to moving them on to more advanced topics. We have observed that students with a weak foundation in mathematics often struggle in Algebra. Acellus FUNMath Spanish helps students to fill in the holes in their understanding, helping them build a strong foundation of basic mathematical concepts from which they can build their understanding of Algebra.
**Although Acellus FUNMath Spanish has been successfully used for students in grades 5-9, we recommend that students take this course at either the end of grade 7 or 8, or at the beginning of grade 9 as a refresher for students preparing to take Algebra Spanish.**

**Acellus FUNMath Spanish incorporates the English math terminology so that Spanish-speaking students can transition to the English language courses as effortlessly as possible. Course topics include:**

- Whole Number Operations
- Fractions/Decimals/Percentages
- Order of Operations
- Probabilities (including permutations and combinations)
- Planes, Points, Lines, and Angles
- Statistics (mean, median, mode, range, and graphs)
- Polygons (types of polygons and several properties)
- Square Roots
- Perimeter, Area, and Volume
- Pythagorean Theorem
- Integer Operations
- Absolute Value
- Basic Graphing
- One- and Two-Step Equations
- Operations using Rational Numbers
- Basic Inequalities

### Course Objectives & Student Learning Outcomes

Upon completion of Acellus FUNMath Spanish, students will be able to perform addition, subtraction, multiplication, and division on whole numbers; discern divisibility; compare and contrast both prime and composite numbers; determine greatest common factors; and perform factoring. They will be adept at choosing place value, and estimation; implementing order of operations; using variables in formulas; calculating ratios, rates, and proportions. They will have learned comparing, contrasting, and manipulating improper and mixed fractions; simplifying fractions; determining least common multiples; performing addition, subtraction, multiplication, and division on fractions, mixed numbers, simple fractions, and mixed numbers; performing addition, subtraction and multiplication on decimals; performing division by whole numbers on decimals; comparing and ordering decimals; performing division on decimals by powers of ten; and solving terminating and repeating decimal problems.**Students will be proficient at using standard and scientific notation; finding or converting measures to the metric system; solving percent, simple interest, and applied percent problems; creating and reading circle graphs; implementing counting principle and creating and reading tree diagrams; calculating basic probability; choosing, comparing and contracting independent and dependent events; predicting with probability; identifying factorials; finding permutations in ordered subsets and combinations in unordered subsets; finding mean, median, mode and range; reading and interpreting frequency tables, pictographs, and bar graphs, broken line graphs and other graphs; and judging misleading statistics.**

**Students will effectively create, identify, and measure points, lines (including parallel lines and transversals), and planes; understand and use geometry symbols; classify triangles, quadrilaterals, and other polygons; find the sum of angles of triangles and regular polygons; compare and contrast congruent versus similar triangles; determine length and perimeter; and determine area, volume and surface area for 2-dimensional shapes and 3-dimensional figures.**

**In addition, students will be able to identify, classify, and measure circles and transformations; calculate square roots and implement the Pythagorean Theorem; use set notation; find symmetry; identify, create, and read Venn Diagrams; determine absolute value; compare and order integers; perform addition, subtraction, multiplication, and division on integers; implement order of operations with integers; solve problems with zero and with the identity, commutative, associate, and distributive properties; create, read, and manipulate basic graphs, ordered pairs, and the coordinate plane; perform comparison, ordering, addition, subtraction, multiplication, and division on rational numbers to include decimals and fractions; discern 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; utilize formulas and literal equations; identify patterns and functions; graph straight lines; find slope of a line; solve basic inequalities; determine and utilize significant figures and significant digits with decimals; determine degree of precision; and perform addition and subtraction on numbers in scientific notation.**

**Scope and Sequence**

**Unit 1 – Introduction and Basic Foundation**In this unit students study addition, subtraction, multiplication, and division of whole numbers. They explore 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**In this unit students discuss ratios, rates, proportions, improper and mixed fractions. They learn to simplify fractions, find least common multiples, and add, subtract, multiply, and divide fractions and mixed numbers.

**Unit 3 – Decimals**In this unit students learn to add, subtract, and multiply decimals, as well as to divide decimals by whole numbers and by powers of ten. They learn to compare and order decimals, and explore terminating and repeating decimals.

**Unit 4 – Decimals and Fractions**In this unit students gain understanding of standard and scientific notation, the metric system, and forms and types of percent. They investigate simple interest and applied percent, and learn about circle graphs.

**Unit 5 – Probability**In this unit students discover the counting principle, tree diagrams, and basic probability. They investigate independent and dependent events, using probability for prediction, and factorials, and learn to calculate permutations and combinations.

**Unit 6 – Statistics**In this unit students discuss tools used in statistics. They explore mean, median, mode, range, frequency tables, and pictographs. They also gain understanding of reading and interpreting graphs; they study bar, broken-line, and other graphs; and they delve into misleading statistics.

**Unit 7 – Geometry of Angles and Lines**In this unit students learn geometry symbols and planes. They also study points, lines -- including parallel lines and transversals -- and angles.

**Unit 8 – Polygons**In this unit students discuss triangles, quadrilaterals, and other polygons. They also gain understanding of angles in triangles and regular polygons.

**Unit 9 – Perimeter, Area, and Volume**In this unit students study perimeter and area. They also learn about volume and surface area.

**Unit 10 – Miscellaneous Geometry**In this unit students discuss square roots and the Pythagorean Theorem. They also investigate circles, transformations, and symmetry.

**Unit 11 – Pre-Algebra**In this unit students explore set notation and Venn Diagrams. They learn to compare and order integers, as well as to add, subtract, multiply and divide integers, and they study absolute value and order of operations. They also investigate the zero, identity, commutative, associative, and distributive properties, as well as basic graphing, including ordered pairs and the coordinate plane.

**Unit 12 – Beginning Algebra**In this unit students learn to compare, order, add, subtract, multiply, and divide rational numbers. They also study expressions and equations, order of operations with and without variables, and the meaning of algebraic symbols. Students also discuss one- and two-step equations, decimals and fractions, formulas, literal equations, patterns, functions, graphing straight lines, and basic inequalities.

This course was developed by the International Academy of Science. Learn More