## Number and Operations with Fractions

Use equivalent fractions as a strategy to add and subtract fractions:

Knowledge:

Apply and extend previous understandings of multiplication and division

Knowledge:

Knowledge:

- I can use number sense and fractions that I know to estimate the reasonableness of answers to fraction problems.

- I can add and subtract fractions with unlike denominators.
- I can solve word problems that involve addition and subtraction of fractions.

Apply and extend previous understandings of multiplication and division

Knowledge:

- I can understand that fractions are really division problems.
- I can think of multiplication as the scaling of a number (similar to a scale on a map).
- I can mentally compare the size of a product to the size of one of the factors by thinking about the other factor in the problem.
- I can explain why multiplying a number by a fraction greater than 1 will result in a bigger number than the number I started with.
- I can explain why multiplying a number by a fraction less than 1 will result in a smaller number than the number I started with.
- I can relate the notion of equivalent fractions to the effect of multiplying a fraction by 1.

- I can solve word problems where I need to divide whole numbers leading to answers that are fractions or mixed numbers.
- I can use what I know about multiplication to multiply fractions or whole numbers by a fraction.
- I can understand and show with models that multiplying a fraction by a whole number is the same as finding the product of the numerator and whole number and then dividing it by the denominator.
- I can use unit squares to find the areas of a rectangle with fractional side lengths an prove that it is the same as multiplying the side lengths (A=l x w).
- I can solve real-world problems that involve multiplication of fractions and mixed numbers.
- I can use what I know about division to divide fractions by whole numbers or whole numbers by fractions.
- I can divide a fraction by a whole number (not 0) correctly.
- I can divide a whole number by a fraction correctly.
- I can use what I know about division problems involving fractions to solve real-world problems.