Functional Skills Math Level 2

Learn to read and write numbers of any size by dividing digits into three-digit groups from the right and naming each group as thousands, millions, billions, trillions, quadrillions, and beyond.

Learn to write numbers from words by identifying place values from ones to trillions and grouping digits into thousands, millions, billions, and beyond.

Learn to compare numbers of any size by analyzing digit counts, using place value charts, and ordering numbers in increasing and decreasing sequences.

Master addition and subtraction of numbers up to a million using column methods, borrowing and carrying. Check accuracy with estimation and rounding to verify results.

Multiply and divide numbers up to one million using long multiplication, estimation, and check techniques to verify answers with accuracy.

Explains how to perform long division by 14, guiding students to select the correct quotient digits, subtract multiples of 14, and extend to decimals for three places.

Explore integers as a union of whole, zero, and negative numbers, study the number line, and master operations with sign rules for addition, subtraction, multiplication, and division.

Explore integer sign rules: same signs yield a positive result, different signs yield a negative result, with practical examples of adding and subtracting integers.

Apply the rules of powers on integers to determine sign and magnitude. Negative bases raised to odd powers stay negative, even powers stay positive, and positive bases remain positive.

Learn to model word problems with fixed and variable costs, using a $2 booking fee and $3 per mile, and formulae for pencils, pens, salaries, and hostel expenses.

Apply substitutions in a given formula by converting negative 20 degrees Celsius to Fahrenheit with F = 1.8 C + 32, and verify by reversing steps.

Substitute given values into the BMI formula to compute BMI and decide if it is healthy, then apply the same method to coin value increases and total pay calculations.

Apply substitutions in a given formula to compute plastic needed in square centimeters, then evaluate a diving score using the middle three judge scores from five.

Explore fractions by identifying numerator and denominator, and classify into decimal fractions, vulgar fractions, proper, improper, mixed, unity, and zero fractions.

Learn to convert mixed numbers to improper fractions and improper fractions to mixed numbers, using integral parts, numerators, and denominators with step-by-step examples.

Explore the concept of equivalent fractions, where different fractions share the same value, by multiplying or dividing the numerator and denominator by the same number, enabling reduction to lowest terms.

Learn to convert unlike fractions to like fractions by finding the least common multiple of denominators and scaling numerators. Compare and order fractions with cross-multiplication and equivalent fractions.

Reduce fractions to lowest terms by dividing numerator and denominator by common factors or by canceling common prime factors, with step-by-step examples such as 12/15 becoming 4/5.

Learn to add and subtract fractions, whether like or unlike, by finding common denominators, converting to like fractions, and reducing results to lowest terms; convert improper fractions to mixed numbers.

Master the multiplication and division of fractions by converting mixed numbers to improper fractions, canceling common factors, and using reciprocals to simplify results.

Find fractions of whole numbers and measurements through practical examples like three quarters of 400 bombs and seven twelfths of 132 meters, using direct division and unit conversions.

Learn to write decimals in expanded form by recognizing place value, naming digits as tenths, hundredths, and thousandths, and converting numbers like 156.234 into expanded expressions.

Learn how to convert numbers from expanded form to decimal form by applying place values for tenths, hundredths, and thousandths, with examples like 5.63, 13.146, and 0.562.

Convert fractions with denominators of 10, 100, and 1000 into decimals by shifting the decimal point left; practice expressing numbers like 0.3, 0.5, and 0.07.

Convert decimals to fractions by noting the number of digits after the decimal, appending zeros to form the denominator, and simplify to the lowest form.

Explore like and unlike decimals, and learn to convert decimals to like decimals by padding zeros to the right to match the maximum decimal places, enabling easier comparison and arithmetic.

Compare decimal numbers by whole parts first, then their decimal parts, using place values from tenths to thousandths, and convert to like decimals with trailing zeros when equal.

Learn to add and subtract decimals by aligning decimal places in the same vertical line, and convert to like decimals before performing the operation, ensuring the result decimal aligns.

Multiply decimal numbers by treating them as whole numbers, then place the decimal by the sum of decimal places. Learn with examples like 32.5 × 0.07 and 2.5 × 0.07.

Master dividing decimals by decimals and by whole numbers by shifting the decimal place left, using long division, and converting decimals to whole numbers to simplify calculations.

Learn how to find percentages of a quantity and express one quantity as a percentage of another, using percent-to-fraction conversion, multiplication, and unit alignment.

Learn to express one amount as a percentage of another by converting fractions to percentages and multiplying by 100, using 65 out of 80 and 19 out of 25.

apply two methods to work out percentages of amounts: compute a percentage of the total or use the complement, with examples on oranges, savings, and class sizes.

Learn to calculate percentages of totals to find unknown values, verify answers, and apply percentages to real-world problems like marks, area, and student counts.

Master calculating percentage change by finding 12% of the original price and adding it, or by using 112% of the original for increases, and 88% for decreases.

practice calculating percentage change with real-world scenarios, like selling 8% then 10% of chickens and computing the total sold and original percentage, plus 25% discounts and increases on prices.

Learn to express one number as a fraction of another and simplify to lowest terms, with examples from days, months, cards, and test scores.

Explore the equivalence between fractions, decimals, and percentages, and learn to convert among forms using straightforward methods. Practice converting examples like 7/8 to 0.875 and 87.5%.

Learn to write given quantities in ratio, reduce to lowest form, and use colon notation to compare values in units. Apply to recipes and examples like population, salary, and savings.

Master the ratio method to find missing quantities from ratios. Apply it to income-expenditure and men-to-women: 180 income yields 160 expenditure; 1500 men yield 2250 women.

Learn to divide a total into parts according to a given ratio by multiplying the ratio, as shown with examples like 2:3:4, 1:3, and 7:8.

Learn direct and inverse proportion through practical examples like cost with oranges, work time with more workers, and distance versus time, plus solving related problems.

Learn inverse proportion through speed, time, work, and provisions, showing how increasing one quantity reduces another and how to apply reciprocal reasoning.

Compute the upfront costs for a two-bedroom rent by combining monthly rent, admin fee and deposit, then split the total in a 3:2 ratio to determine Matt's payment.

Cora uses a ratio to determine staff needs for a 178-guest wedding. Scaling by four yields capacity for 180 guests, confirming the eight readers are sufficient.

Apply division and multiplication to a 240-item stock, showing 240 divided by six equals 40 and how each category multiplies by 40, referencing new, existing, and clearance stock.

Explore how functional skills math level 2 teaches determining lower and upper bounds when rounding to a given unit, with cm, mm, kg, g, and m examples.

Learn to compute upper and lower bounds for measurements by adding or subtracting half the unit, with examples from height, mass, distance, time, and other rounded values.

Derive upper and lower bounds from measurements rounded to the nearest centimetre to compute the maximum perimeter, minimum area, and bounds for variables a and b.

Apply upper and lower bounds with one significant figure to find max/min values of x+y, y−x, and x/y; determine shaded region area and compute p = v^2/r.

Apply upper and lower bounds for eggs and hands using nearest ten and nearest twenty. Use the bounds to estimate total eggs and the difference between the two forms.

Utilize lower and upper bounds to compute a car's minimum speed from distance and time, and determine a regular hexagon's minimum perimeter from its side length under measurement uncertainty.