RATL 1 | Lesson 1 Standards

California Common Core State Standards for Mathematics

Core Content Standards

CCSS.Math.Content.5.NF.A.1 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, \(\Large \frac{2}{3}+\frac{5}{4}=\frac{8}{12}+\frac{15}{12}=\frac{23}{12}\).  In general, \(\Large \frac{a}{b}+\frac{c}{d}=\frac{ad + bc}{bd}\).

CCSS.Math.Content.6.NS.A.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for \(\Large \frac{2}{3}\div\frac{3}{4}\) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that \(\Large \frac{2}{3}\div\frac{3}{4}=\frac{8}{9}\) because \(\Large \frac{3}{4}\) of \(\Large \frac{8}{9}\) is \(\Large \frac{2}{3}.\) (In general, \(\Large \frac{a}{b}\div\frac{c}{d}=\frac{ad}{bc}\).) How much chocolate will each person get if 3 people share \(\Large \frac{1}{2}\) lb of chocolate equally? How many \(\Large \frac{3}{4}\)-cup servings are in \(\Large \frac{2}{3}\) of a cup of yogurt? How wide is a rectangular strip of land with length \(\Large \frac{3}{4}\) mi and area \(\Large \frac{1}{2}\) square mi?

Related Standards

CCSS.Math.Content.7.NS.A.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

Standards for Mathematical Practice

CCSS.Math.Practice.MP1 Make sense of problems and persevere in solving them.

CCSS.Math.Practice.MP5 Use appropriate tools strategically.

CCSS.Math.Practice.MP7 Look for and make use of structure.

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