Partition a circle or rectangle into equal parts (halves through eighths) with one or more parts shaded; write how many parts are shaded out of the total.
Generate a simple equivalent fraction and see WHY it is equal with one circle: solid lines show the simpler fraction, dotted lines cut each part into more equal shares, and the same region is shaded. Fill in the missing numerator (3.NF.A.3b).
Whole Numbers as Fractions on a Number LineG33.NF.A.3.c
Use a number line to see that a whole number and its fraction form sit at the SAME point: n/1 = n and d/d = 1. Complete the equation, recognizing the whole or expressing it as a fraction.
Recognize and generate equivalent fractions: find the missing number, scale the numerator and denominator by the same factor, see equal fractions land on the same point on a number line, or simplify a fraction to lowest terms.
Compare two fractions with unlike denominators, recording the result with <, >, or =. Use a common denominator, a common numerator, or a benchmark such as one half.
Convert Between Mixed Numbers and Improper FractionsG44.NF.B.3
Rewrite an improper fraction as a mixed number or a mixed number as an improper fraction, including reading a fraction greater than 1 off a number line and writing it as a mixed number.
Write a fraction as a sum of fractions with the same denominator, and complete decompositions where one part is missing. The Visual Model focus reads the decomposition from a two-color fraction bar.
Understand a fraction as a number of copies of a unit fraction, and multiply a fraction by a whole number so that n copies of a/b give (n x a)/b. Includes word problems and "fraction of a number" expressions.
Express a fraction in tenths as the same amount in hundredths (for example, 3 tenths = 30 hundredths), and use this to add a tenths fraction and a hundredths fraction.
Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b), and solve word problems whose answers are fractions or mixed numbers.
Without multiplying, decide whether a product is greater than, less than, or equal to one factor (5.NF.B.5.a) — and explain why, including why multiplying by n/n = 1 is what makes equivalent fractions equal (5.NF.B.5.b).
Divide a unit fraction by a whole number and a whole number by a unit fraction, checking each quotient with multiplication, and solve real-world sharing and serving problems.
Compare fractions using grade-6 reasoning: interpret them as rates to see how more tries change the outcome, or flip them to their reciprocals (close mixed numbers) when the denominators share no simple common multiple.