**Unit 5 Big Ideas**

*Students will be able to:*

- Represent and understand a fraction as a number on a number line.
- Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.
- Show and identify equivalent fractions using visual representations including pictures, manipulatives, and number lines.
- Compare and order fractions having the same numerators or denominators using visual representations, comparison symbols, and verbal reasoning.
- Apply the commutative, associative, and distributive properties as strategies to multiply and divide.
- Find the perimeter of polygons given the side lengths, and find an unknown side length.
- Use concrete and pictorial models to measure areas in square units by counting square units.
- Find the area of a rectangle with whole-number side lengths by modeling with unit squares, and show that the area is the same as would be found by multiplying the side lengths.
- Identify and draw rectangles with the same perimeter and different areas or with the same area and different perimeters.

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**Unit 4 Big Ideas**

*Students will be able to:*

- Represent and understand a fraction as a number on a number line.
- Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.
- Show and identify equivalent fractions using visual representations including pictures, manipulatives, and number lines.
- Find parts of a whole and parts of a set using visual representations.
- Explain and demonstrate how fractions ¼, ½, ¾ and a whole relate to time, measurement, and money, and demonstrate using visual representation.
- Compare and order fractions having the same numerators or denominators using visual representations, comparison symbols, and verbal reasoning.
- Draw lines to separate two-dimensional figures into equal areas, and express the area of each part as a unit fraction of the whole.
- Tell and write time to the minute using both analog and digital clocks.
- Solve real-world problems involving addition and subtraction of time intervals and find elapsed time.
- Estimate and measure length to the nearest half inch, quarter inch, and centimeter.
- Create scaled pictographs and scaled bar graphs to represent a data set—including data collected through observations, surveys, and experiments—with several categories.
- Represent data using line plots where the horizontal scale is marked off in appropriate units—whole numbers, halves, or quarters.
- Solve problems and make simple statements about quantity differences (e.g., how many more and how many less) using information represented in pictographs and bar graphs.