# Mathematics – Unit 0 – The Unit Directory

Mathematics, as the other subjects in the Curriculum, is composed of 38 Units of varying lengths, covering a wide range of topics.

Unit 0 lists the Unit titles.

Units 1 through 36 deliver the lessons.

Unit 37 is the Summary Project.

Math Unit 0 – The Directory of Mathematical Units

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Math Unit 1 – Beehive Math starts with Number Sense 1 where the child learns the digits, numerals, numbers, and quantities 0-10 as well as how to spell and read the words denoting each numeral. He/she learns to count through 10; learns simple shapes corresponding to the numbers 1-4, and also the addition and subtraction facts associated with – through 4. In addition the student begins to learn about time, the calendar, spatial reasoning, and the art of analyzing a problem by looking ahead.

– Special items required:

Cards for the Beehive Brain Box Learning System. One or more composition books – College-ruled preferred. No. 2 pencils. Pink erasers. A 12″ Ruler. Mighty Mind Beginning Set – About $20.00 at amazon.com. Access to Krazy Dad’s Mazes at krazydad.com/mazes/. (A small donation to this site is appropriate as you will be using it throughout much of the math curricula.)

The concepts of the Commutative and Associative Properties are introduced and well as the Identity element of Addition and Subtraction.

Math Unit 2 – Beehive Math continues with Number Sense 2 where the child learns the addition and subtraction facts for the numbers 5 through 7, as well as more on the calendar – namely the days of the week, their names, spelling, and order, and time on the clock. Also, Mighty Mind continues – if the student has not mastered the initial set. Krazy Dad Mazes continue as well as learning about shapes that correspond to the numbers 5-7.

Math Unit 3 – Number Sense 3. Here the student learns the addition and subtraction facts for 8 through 10 as well as the spelling, order, and reading of the names of the months of the year. Mighty Mind is continued in its original set or in a more advanced one as are the Krazy Dad Mazes. The concepts of place value, carrying and borrowing are introduced through the number 10. Shapes corresponding to the numbers 8 through 10 are also introduced. The names of the parts of addition nd subtractions problems are learned, both reading and spelling, and simple word problems are introduced.

Math Unit 4 – Number Sense 4 – The Teens. Carrying and Borrowing is mastered as the student masters the addition and subtraction facts for the teen numbers 11 through 20. The hundred number chart is also introduced and the student learns the third place value. He also learns to count to 100 by ones, tens, fives, and twos. Simple word problems, telling time to the hour, half hour, quarter hour, by 5 minute intervals and one minute intervals is also mastered. The concepts of Rounding, Estimation, and expanded notation are covered. Mighty Mind and Krazy Dad Mazes are also continued.

Math Unit 5 – Number Sense 5 and Beginning Geometry. Carrying and Borrowing is continued with numbers 20 through the hundreds and into the thousands and ten thousands thereby introducing more place values. Adding and subtracting with zeros in the middle of numbers and a series of zeros in the middle of numbers is mastered. Measurement is introduced via the rule and learning inches, feet, yards, and miles. The plana geometric figures previously introduced are revisited with knowledge of the mathematical terms for their parts: vertex, angle, sides, lines, line segments, rays, and such. The number of degrees of angles is introduced and the terminology corresponding to various size angles, as well as complementary and supplementary angles. Perimeter and perimeter formulas are also introduced and the ideas of multiplication being a quicker form of addition, and parts of an inch or foot a fraction. Multiple story or word problems are introduced, as well as the use of a decimal for money problems. Names of coinage and paper money, and their denominations are mastered. Krazy Dad Sudoku is introduced.

Math Unit 6 – Multiplication and Division: The Facts and More. Addition and Subtraction through the Trillions place value. Quick mastery of multiplication and division through teaching of patterns. Working of multiplication and division problems through the thousands place value. Story problems working with money, time, and area. Learning of the formulas for area for each shape heretofore learned. The perimeter of a circle is introduced as well as its parts and formulas. Names for the parts of multiplication and division problems are learned, as are the concepts of prime and composite numbers, prime factorization, and the rules of divisibility. The Commutative and Associate Properties are related to Multiplication, as well as the Distributive Property and the Identity Element for Multiplication and Division. The Distance and Cost Formulas are also introduced and worked to mastery.

Math Unit 7 – Fractionville – ALL About Fractions from their terminology, finding equivalents, reducing, adding and subtracting same denominator fractions, improper fractions and mixed numbers. Also adding and subtracting with unlike denominators, the Lowest Common Multiple or Least Common Denominator and the Greatest Common Factor are mastered. Multiplying and Dividing of fractions, along with the concept of canceling are practiced. Word problems with fractions are used in reference to a number of real-life situations. Ratios and Proportions as well a the concept of rate are also introduced, practiced, and mastered.

Math Unit 8 – Decimals and Per Cents. Adding, subtracting, multiplying and dividing with decimals including repeating decimals and dividing by a decimals number are covered. Per cents are introduced and the fraction-decimal-percent equivalents chart memorized. Also the ability to change fractions, decimals and per cents into each other is taught. The Per cent formula box is introduced and practiced. Simple interest and compound interest as well as the percent of change, increase or decrease, are also introduced and practiced. Word problems abound that reflect real life.

Math Unit 9 – Measurement & Data 1. Liquid and Dry, Temperature and Weight Measures in the American System as well as the Metric are introduced and mastered. Conversion between systems is also mastered, as well as unit conversions within each system.

Math Unit 10 – Measurement & Data 2. Data is collected and expressed in graphs and tables: line plots, bar and line graphs, frequency tables, circle graphs or pie charts, the coordinate graph or plane, etc. Rules, terms, and formulas of Probability and Statistics are mastered. Arithmetic and Geometric progressions explained and computed.

Math Unit 11 – Pre-Algebra 1.

Math Unit 12 – Pre-Algebra 2.

Math Unit 13 – Pre-Algebra 3.

Math Unit 14 – Algebra Unit 1.

Math Unit 15 – Algebra Unit 2.

Math Unit 16 – Algebra Unit 3.

Math Unit 17 – Algebra Unit 4.

Math Unit 18 – Algebra Unit 5.