Fractions, etc.

Define fractions as parts of a whole and the quotient of two integers. Identify the numerator over the denominator and read examples like one half, quarter, and four fifths.

Explore equivalent fractions through visual models and cross multiplication, learning how fractions like 1/2, 2/3, and 3/4 relate, and verify equality without error.

Explain three fraction rules: any number over one equals itself; any whole number can be written as something over one; and denominator cannot be zero, or the fraction is undefined.

learn how to simplify fractions by dividing the numerator and denominator by the greatest common factor, illustrated through factorization and the example 100 over 200 becoming 1/2.

Explore improper fractions and mixed numbers, transforming improper fractions into mixed numbers using remainders and converting mixed numbers back into improper fractions.

Compare fractions with the same denominator by evaluating numerators, using greater than and less than signs, and converting mixed numbers to improper fractions for easy comparison.

Learn to add fractions with like denominators by adding numerators, simplifying the result, and converting improper fractions to mixed numbers; also combine whole numbers and fractions when needed.

Learn to compare fractions with the same numerator by examining denominators; when numerators are equal, the larger the denominator, the smaller the fraction, with step-by-step examples.

Learn to add fractions by finding a common denominator and converting unlike fractions. Use the least common denominator to simplify and sum fractions with steps shown in examples and worksheets.

Learn to compare fractions by finding the least common denominator, multiplying numerator and denominator to equalize fractions, then compare numerators with examples like 2/3 and 3/4.

Multiply fractions by multiplying numerators and denominators, then simplify and convert mixed numbers to fractions. Explore reciprocals and practical examples like one third of three equals one.

Learn how to divide by fractions by converting numbers to fractions, finding the reciprocal of the divisor, multiplying numerators and denominators, and simplifying.

Explore decimals as a representation of numbers smaller than one and learn how to read them using the decimal point and place values: tenths, hundredths, thousandths. Compare decimals to fractions with practical examples like prices and simple calculations.

Compare decimals by the largest place first, then the next place to the right, using tenths, hundredths, and thousandths to determine which number is bigger.

Explore adding decimals by aligning digits at the decimal point and using zero padding. Learn subtracting decimals with carrying and borrowing to master decimal arithmetic.

Master fractions and decimals by converting between them, simplifying with the greatest common factor, and using either denominators that are powers of ten, with examples such as 625/1000 to 5/8.

Learn what percentages are, how the symbol % represents out of 100, and how to convert between fractions, decimals, and percentages through simple examples like 50%, 25%, and 10%.

Explore ratios as a fractions-based concept, mastering part-to-part and part-to-whole ratios with examples from apples, cherries, turkeys, and scaling a flag.

Learn to estimate using practical judgments, fractions, and number lines, applying halving and comparison techniques to judge how close your guess should be for various tasks, including percentages.

Create and interpret pie charts to visualize fractions and percentages, showing how to allocate portions among people using real-world examples like sales.

Build bar graphs from data by setting the axis, units, and bars to visually represent sales figures and practice reading and writing these graphs with worked examples.

Identify rational numbers that can be written as fractions, including integers and whole numbers; distinguish irrational numbers like pi and sqrt(2), and note repeating decimals as rational.