Learn to compare decimal numbers by lining up the decimal point and then comparing digits to find a place where the digits are different. Visually compare positive and negative decimals on the number line.
Discover that equivalent fractions represent the same part of a whole and are found by multiplying the numerator and denominator by the same whole number. Understand when a fraction is in lowest terms.
Use fraction bars, fraction charts, and number lines to visually compare positive and negative fractions and mixed numbers. Learn how to rewrite fractions using a common denominator and then compare the numerators.
Discover that fractions with common denominators can be added by adding their numerators. Learn how to express fractions as equivalent fractions with a common denominator. Understand how to add and subtract positive and negative fractions as well as mixed numbers.
Understand why fractions can be multiplied by just multiplying their numerators and multiplying their denominators. Discover that multiplying with a fraction can result in a smaller number. Learn how to multiply mixed numbers.
Understand why fractions can be divided by inverting and multiplying. Discover that reciprocals result from switching the numerator and denominator. Divide fractions by inverting the second fraction and turning the division into multiplication.
Investigate division of integers using counters and directional line models on the number line. Explore how the sign of the divisor and dividend determines whether the quotient is positive or negative.