Functional Skills Math Level 1

Learn to read and write large numbers using the international place value chart, dividing numbers into ones, thousands, millions, and beyond by three-digit groups.

Group large numbers into triples from right to left, placing commas. Read each three-digit block as a unit and write using thousand and million scales, handling zeros.

Learn to compare large numbers by cases: unequal digits and equal digits, using place value and left-to-right comparison, then order from smallest to largest and form biggest and smallest numbers.

Explore why we round numbers by comparing exact counts like 862 with rounded estimates such as 60 or 2000, and learn how rounding simplifies calculations and handles infinite decimals.

Master rounding techniques by using a target digit, turning smaller places into zeros, and deciding to keep or increase the target based on whether the next digit is below five.

Learn to round numbers to the nearest ten, hundred, or thousand using the rule that looks at the next digit and increases when it is five or more.

Master rounding decimals to one through six places by applying target-digit and next-digit rules, with examples that show when to round up or down.

Learn how to identify significant figures in whole and decimal numbers, and rounding to a specified number of significant figures, with practical examples.

Explore natural, whole, and integer number sets; distinguish even/odd, positive/negative integers, primes, and squares; learn rational and irrational numbers, decimals, and real numbers.

Explore integers, the building blocks of math, including positive, negative, and zero, and learn to compare and arrange them on the number line in ascending order.

Master addition and subtraction of integers by applying rules for same signs and different signs, including grouping positives and negatives and determining the sign of the result.

Learn rules for multiplying and dividing integers: same signs yield positive results, different signs yield negative results, and how even or odd numbers of negatives affect the result.

Learn to simplify expressions with two consecutive signs before a number, applying same-sign rules for positive results and different-sign rules for negatives, with practical examples.

Explore powers on integers, distinguishing odd versus even exponents to determine sign, with negative bases and positive bases across examples.

Master divisibility rules for quick checks, determining if numbers are divisible by 2, 3, 4, 5, 6, 8, 9, 10, and 11 using last digits, digit sums, and alternating sums.

Master divisibility rules for seven and thirteen using the last three digits subtraction method. Identify that six-digit numbers with repeating three-digit blocks are divisible by seven, eleven, and thirteen.

Apply divisibility tests for composite numbers by using coprime factors, such as three and four for twelve, seven and two for fourteen, and seven and nine for sixty-three.

Learn to find factors and write numbers as a product of prime factors using successive division by primes, with examples like 12, 120, and 28.

This lecture explains multiples and the lowest common multiple, using listing multiples and prime factorization with examples like 12 and 15 producing 60.

Compute the least common multiple using the division method by repeatedly dividing by the smallest prime factor, recording quotients, and multiplying the resulting prime factors to obtain the LCM.

learn to find the highest common factor (HCF) of numbers by listing factors, identifying common factors, and selecting the largest; explore prime factorization and division methods with examples.

Learn the continued division method to find the HCF by dividing the bigger number by the smaller and using the remainder until zero.

Examine the relation between hcf, lcm, and the product of two numbers, showing that the product equals hcf times lcm through examples such as 77 and 99.

Explore fractions by defining numerator and denominator, using shapes to show parts of a whole, and classify decimal, vulgar, proper, improper, mixed, unity, and zero fractions.

Learn to convert mixed fractions to improper fractions and improper fractions to mixed fractions using standard methods: multiply and add for the forward conversion, and divide for the reverse.

Explore equivalent fractions, showing how multiplying or dividing numerator and denominator by the same number keeps value unchanged, with examples like 1/2 = 2/4 and 50/70 = 5/7.

Convert unlike fractions to like fractions by finding the lcm of denominators and scaling numerators accordingly. Then compare via cross-multiplication, including negatives, to determine which is greater.

Master reducing fractions to lowest terms by dividing by common factors or canceling shared prime factors until no further reduction, with examples like 12/15 to 4/5.

Learn to add and subtract fractions by finding like fractions, using the least common multiple to align denominators, then reduce to lowest terms and convert improper fractions to mixed numbers.

Learn to multiply and divide fractions by converting mixed numbers to improper fractions. Cancel common factors, use reciprocals for division, and convert results back to mixed numbers.

Explore finding fractions of whole numbers and measurements by dividing into equal parts and applying to pounds, meters, liters, and time units, using mental math, cancellation, or calculators.

Learn to read and write decimals in expanded form using place value concepts, including whole numbers, tenths, hundredths, and thousands, with step-by-step examples.

Convert expanded forms to decimal numbers by identifying place values from hundreds to thousandths, and write examples like five point six three and zero point five six two.

Convert fractions with denominators into decimals by shifting the decimal point left for each zero in the denominator. Examples: zero point three, zero point five, zero point two one.

Learn to convert decimals to fractions and mixed numbers, bring results to lowest terms, and apply the decimal place rule by adding zeros for each decimal digit.

Learn how like decimals, with the same number of decimal places, enable easier comparison, addition, and subtraction by padding zeros to maximum decimal places, since zeros do not change value.

Learn how to compare and order decimal numbers by whole-number parts first, then decimal parts, converting to like decimals by placing zeros to determine greater, lesser, or equal values.

Align decimal places to add and subtract decimals, write numbers in the same vertical line, convert to like decimals, and perform column-wise calculations with clear steps.

Learn to multiply decimals by treating them as integers, count total decimal places, and place the decimal point. Practice shifting the decimal when multiplying by powers of ten.

Master the division of decimal numbers using long division, shift the decimal point according to zeros, and convert to like decimals to determine the quotient and the lowest form.

Multiply whole numbers and decimals by ten, hundred, and thousand by shifting decimals or adding zeros. Use examples like 700 times 5 and 50 times 600 to master zero-placement rules.

Learn to divide whole numbers and decimals by 10, 100, and 1000 by shifting the decimal left by the divisor's zeros, with examples.

Learn to square one- and two-digit numbers, understand the area of a square, and use the five-ending trick—multiply the tens digit by the next number up and five squared.