HSE/GED/TASC/HiSET Prep: A Complete Mathematics Curriculum

Explore place value from ones to trillions, learn how digit positions determine value, and convert between decimals, words, and numerals, including tenths, hundredths, and thousandths.

Round numbers to a specific place value by the right-hand digit; less than five keeps, five or more increases and zeros trailing. Includes rounding to tenths and hundredths.

Memorize multiplication tables from 1 to 12 and apply long multiplication and long division to multiply and divide whole numbers, including multi-digit problems and remainders.

Master multiplying and dividing decimals by tracking decimal placement and moving the decimal point as needed, with varied examples showing how to align decimals in division and multiplication.

Identify addition word problems by spotting keywords like more, total, sum, and in all; practice aligning place values, and adding numbers including dollars and cents to find the total.

Master subtraction word problems with money, learn to align place values, borrow when needed, and solve less than and decreased by scenarios such as taxes and fewer amounts.

Master division word problems using long division across real scenarios, including distributing pencils, grouping people, calculating cost per page, miles per gallon, and per-person lunches.

Use the number line to add and subtract with positives and negatives, and apply a quick trick to determine the sign when adding opposite numbers.

Learn subtracting on the number line by starting at a number and moving left to obtain positive or negative results; use the add magnitudes trick when starting negative.

Learn how to subtract negative numbers using a number line, cancel negatives, and convert subtraction to adding negatives. Apply mixed-sign problems to see two negatives become a positive.

Apply concepts from earlier lessons to word problems with positive and negative values, money, temperature, and elevation, and learn to combine negatives and compute balances, differences, and overdraft implications.

Learn how fractions represent parts of a whole, identify numerators and denominators, use the same-number multiplication to find equivalent fractions, and reduce to lowest terms.

Learn how to add and subtract fractions using common denominators by finding the least common multiple, creating equivalent fractions, and applying them in examples like 1/2+3/4 and 3/5-1/4.

Apply the keep-change-flip rule to divide fractions, turning division into multiplication and flipping the second fraction, as shown: three fifths divided by two thirds becomes three fifths times three halves.

Convert and simplify percents by expressing them as fractions or decimals, reduce fractions, and use decimal shifting to switch between percent, fraction, and decimal forms, with examples.

Learn absolute value as the distance from zero and that the absolute value is positive. Practice simplifying absolute value expressions using order of operations, including exponents, division, and multiplication.

Explore exponents and powers by identifying base and exponent, and rewrite expressions as products using examples like 3^2 and 4^3. Introduce scientific notation through 10^5 and 7^3.

Learn to convert very large and very small numbers into scientific notation by moving the decimal, keeping one digit before the decimal, dropping trailing zeros, and using powers of ten.

Master the order of operations by applying parentheses, exponents, then multiplication and division from left to right, as well as addition and subtraction with the same left-to-right priority.

Identify variables as symbols representing unknown numbers and distinguish constants and coefficients, then show adding like terms by summing coefficients, with examples like 6z+3, 7x+4x, and 12x+15x.

Learn how to distinguish algebraic expressions from equations, and evaluate expressions using the order of operations and plugging in values for variables such as x and y.

Explore matrices as arrays of rows and columns, define dimensions (such as two by three) and elements, and demonstrate adding and subtracting matrices with matching dimensions through worked examples.

Explore real-world matrix applications by reading and interpreting data in grids, locating intersections, and computing row and column totals, with examples from shirts, hours, surveys, and furniture.

Explore the associative property in addition and multiplication, showing how rearranging parentheses leaves sums and products unchanged, with examples and exceptions.

Identify identity properties of addition and multiplication: adding zero or multiplying by one leaves numbers unchanged. Show additive and multiplicative inverses, such as a and -a summing to zero.

Master the multiplicative property of zero—anything times zero is zero, and anything raised to the zero power is one, be sure to distinguish these properties.

Learn to solve two-step equations using the order of operations, additive and multiplicative inverses, and work with fractions and decimals across multiple variables.

Practice solving fraction and decimal equations by clearing fractions with common denominator, then isolate variables such as z, k, m, x, and h through distribution and combining like terms.