
Learn the same-sign rule for multiplying and dividing negative numbers, where same signs yield positive results and opposite signs yield negative results, illustrated with long division examples.
Explore fractions as parts of a whole; identify numerators and denominators from shaded figures. Learn to find and reduce equivalent fractions with common factors, including 2/4 = 1/2.
Explains dividing fractions with keep-change-flip, turning division into multiplication, flipping the second fraction, and calculating with examples like 3/5 ÷ 2/3 = 9/10 and 5/11 ÷ 4/10 = 25/22.
Convert percents to fractions or decimals by placing over 100 and moving the decimal two places; apply these concepts to the simple interest formula.
Absolute value measures distance from zero and is always nonnegative. Use the order of operations inside the absolute value, then evaluate, with practice problems involving integers, fractions, and exponents.
Learn the basics of matrices, including rows, columns, and dimensions, and practice adding and subtracting same-dimension matrices with step-by-step examples.
Explains the commutative property for addition and multiplication, showing that changing the order of numbers or variables leaves the result unchanged, with examples such as 4+6+g and 12×4×3.
Explore the multiplicative property of zero, where any number times zero is zero, and distinguish it from the zero exponent property, where any number raised to zero power equals one.
Rearrange the perimeter and area equations to isolate a target variable, solving for side two in a triangle and for length, width, or height in rectangle problems.
apply the percent equation, where percent times the whole equals the part. convert percent to decimal, and solve for the part or whole by multiplication or division.
This course is an intricately-designed, complete Pre-Algebra curriculum. It will prepare students for middle school or high school Pre-Algebra.
The units, in order, are:
These 13 units incorporate all the topics you will see in pre-algebra.
While this course was designed to cater to pre-algebra students, those studying for the High School Equivalency exam (GED, HiSET, or TASC) can also benefit from the information provided in this course.
Similarly, teachers who would like supplemental material for their pre-algebra classroom should take this course. If you are a teacher, feel free to download and use these PDFs in your own classrooms.