Mathematics

Horizons Mathematics is a balanced and well-organized approach to primary math composed of analytical reasoning, manipulatives (hands-on learning), memorization and drill. Every concept, from addition and subtraction to graphs and estimation, follows a deliberate pattern of introduction and gradual development to ensure student success. Fundamental concepts previously obtained in earlier units are reviewed in subsequent grade levels for true mastery. Every math concept follows a general pattern of gradual development in all seven grade levels.

Analytical reasoning skills are used in daily decision making. Beginning with an introduction to each concept, Horizons reinforces thinking skills to help ensure a thorough understanding of all material. Students obtain reasoning skills from the principles taught in Horizons lessons and learn to apply these skills to real-life situations.

Numbers, Order & Value: It begins with a strong emphasis on counting and advances to the development of number comparisons, rounding, estimating, order of operations, prime factorization, Roman numbers, scientific notation, base 2 numbers, and integers.

Addition & Subtraction: It begins with adding and subtracting single digits numbers to other  numbers and advances to include six-digit by six-digit operations. Comprised of addition and subtraction properties, making changes, and adding and subtracting equations.

Ratios, Measurement & Decimals: From a foundation in money, time, calendar, dimension and capacity, the concepts progress to temperature, unit conversions, ratios, percentages and decimals.

Fractions & Comparison: Included concepts are tall, short, long, longer, larger and smaller; also covers parts of a whole on to addition, subtraction, multiplication and division of mixed numbers.

Equations, Colors & Geometry: Recognition of colors, shapes and direction lead to computations involving area, perimeter, volume and surface area. Geometric definitions of point, line, segment, and ray develop into geometric constructions with a compass and straightedge. Equations are manipulated by addition, subtraction, multiplication and division and are written for word problems.

Graphs, Estimation & Solving: Counting images on a pictograph expands to counting images on a bar graph, line graphs and coordinate graph; rounding numbers continues to estimating solutions and operations involving problem solving; finding the average of a list of numbers provides background for finding the mean, mode, median and probability.

Multiplication and Division: Learning multiplication facts one through ten advances to include multiplication and division terms and properties, multiplication problems with 5-digit numbers and division problems with 4-digit divisors.