Graph and compare fractions with like numerators or denominators on number lines

Learning Objectives Accurately partition a number line into a given number of equal parts (the denominator). Correctly plot a fraction on a number line. Compare two fractions with the same denominator by analyzing their positions on a number line. Compare two fractions with the same numerator by analyzing their positions on separate, aligned number lines. Use the symbols <, >, and = to write a correct comparison statement for two fractions. Explain why one fraction is greater than another based on its position on a number line. If you ate 2/8 of a pizza and your friend ate 5/8 of the same pizza, who ate more? 🍕 Let's use number lines to find out! In this tutorial, we will learn how to place fractions on a number line. This helps us 'see' the size of fr...

TermDefinitionExample Number LineA straight line with numbers placed at equal intervals, or segments, along its length. It can be used to show the order and relationship between numbers, including fractions.A ruler is a type of number line. PartitionTo divide something into equal parts. On a number line, we partition the space between whole numbers (like 0 and 1) into equal segments.To show fourths, we partition the space between 0 and 1 into 4 equal parts. DenominatorThe bottom number of a fraction. It tells us how many equal parts the whole is divided into.In the fraction 3/4, the denominator is 4. This means the whole is split into 4 equal parts. NumeratorThe top number of a fraction. It tells us how many of the equal parts we are talking about.In the fraction 3/4, the numerator is 3....

Comparing with Like Denominators If two fractions have the same denominator, the fraction with the larger numerator is greater. For fractions $\frac{a}{d}$ and $\frac{b}{d}$, if $a > b$, then $\frac{a}{d} > \frac{b}{d}$. Use this when the bottom numbers are the same. Since the pieces are the same size (because the denominators are the same), having more pieces (a larger numerator) means you have a bigger fraction. Comparing with Like Numerators If two fractions have the same numerator, the fraction with the smaller denominator is greater. For fractions $\frac{a}{c}$ and $\frac{a}{d}$, if $c < d$, then $\frac{a}{c} > \frac{a}{d}$. Use this when the top numbers are the same. A smaller denominator means the whole is cut into fewer, larger pieces. So, having the same...