Here is a partial Scope & Sequence:
Math 1 (Grade 1) (PACEs 1001-1012) The student:
• Reviews and learns numbers in symbol, name, and number words from zero to ten.
• Counts and writes from zero to one hundred.
• Solves simple addition, subtraction, and word problems.
• Learns to tell time.
• Learns the concept of money and counting coins with pennies, nickels, and dimes.
• Reviews length comparison: longer and shorter.
• Learns liquid measurements: cups, pints, and quarts.
• Reviews recognition of basic shapes.
• Reviews order of numbers: before, between, after; and contrasting numbers—same, not the same, more than, and less than.
Math 2 (Grade 2) (PACEs 1013-1024) The student:
• Continues learning to add and subtract, to carry and borrow 2- and 3-digit numbers, solves word problems, and works addition and subtraction facts vertically and horizontally.
• Completes timed drills and oral drills.
• Learns to relate multiplication to addition.
• Counts and writes by twos, fives, and tens; counts and writes from 1-500; writes numbers in place values of 1s, 10s, and 100s; and writes numbers on a calendar.
• Recognizes and writes number words.
• Learns to identify odd and even numbers.
• Reviews telling time.
• Reviews numbers that are greater-than and less-than.
• Learns to relate cent signs to pennies, nickels, dimes, and quarters.
• Learns to measure objects in inches and centimeters,
• Recognizes and constructs geometric shapes.
Math 3 (Grade 3) (PACEs 1025-1036) The student:
• Adds 3-digit to 3-digit numbers, subtracts 3-digit from 3-digit numbers, and solves word problems with
carrying and borrowing.
• Learns multiplication facts 1-9 with timed drills and oral drills.
• Reviews numbers in place values of 1s, 10s, and 100s; writes numbers to count on a number line;
reviews and writes on charts; and learns to use picture tables to determine height.
• Reviews telling time and learns half-hour, quarter-hour, and 5-minute increments.
• Learns Roman numerals.
• Learns to divide objects or sets into halves.
• Math Builder, a computerized mathematic flash card program, is also available for additional reinforcement and drill.
For Grades 4-8, see the website, http://www.nationalhomeschool.com/
Algebra I (Grade 9) (PACEs 1097-1108)
• Basic algebraic concepts (definitions, signs, and expressions) are introduced in a carefully structured
way to make the learning material understandable. This curriculum includes principles for logically
solving, transposing, and canceling algebraic equations.
• Algebraic addition, subtraction, multiplication, and division.
• Complex fractions: reducing, simplifying, and solving word problems.
• Algebraic graphs—linear equations, consistent, inconsistent, and dependent in word problems.
• Quadratic equations, factoring, positive and negative numbers, averages, percents, interest, ratios,
• The Pythagorean theorem.
• Twelve DVDs reinforce this course and all other higher math courses.
Details of the following on the website:
• Geometry (Grade 10) (PACEs 1109-1120)
• Algebra II (Grade 11) (PACEs 1121-1132)
• Trigonometry (Grade 12) (PACEs 1133−1138)
This course reflects the use of a TI-83 Plus or TI-84 Plus graphing calculator.
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