Academic+Content+Standards

**Number, Number Sense and Operations**

**1. Use models and visual representation to develop the concept of ratio as part-to-part and part-to-whole, and the concept of percent as part-to-whole.** Measurement **1. Identify and select appropriate units to measure angles; i.e., degrees.** **2. Identify paths between points on a grid or coordinate plane and compare the lengths of the paths; e.g., shortest path, paths of equal length.** **3. Demonstrate and describe the differences between covering the faces (surface area) and filling the interior (volume) of three-dimensional objects.** **4. Demonstrate understanding of the differences among linear units, square units and cubic units.**
 * 2. Use various forms of “one” to demonstrate the equivalence of fractions; e.g., 18/24=9/12 x 2/2=3/4 x 6/6**
 * 3. Identify and generate equivalent forms of fractions, decimals and percents.**
 * 4. Round decimals to a given place value and round fractions (including mixed numbers) to the nearest half.**
 * 5. Recognize and identify perfect squares and their roots.**
 * 6. Represent and compare numbers less than 0 by extending the number line and using familiar applications; e.g., temperature, owing money.**
 * 7. Use commutative, associative, distributive, identity and inverse properties to simplify and perform computations.**
 * 8. Identify and use relationships between operations to solve problems.**
 * 9. Use order of operations, including use of parentheses, to simplify numerical expressions.**
 * 10. Justify why fractions need common denominators to be added or subtracted.**
 * 11. Explain how place value is related to addition and subtraction of decimals; e.g., 0.2 + 0.14; the two tenths is added to the one tenth because they are both tenths.**
 * 12. Use physical models, points of reference, and equivalent forms to add and subtract commonly used fractions with like and unlike denominators and decimals.**
 * 13. Estimate the results of computations involving whole numbers, fractions and decimals, using a variety of strategies.**