Number

1. Students will develop number sense by using a variety of tools (bar model, ratio table, double number line) to estimate and/or compute exact answers involving all operations with the real numbers. These operations include adding, subtracting, multiplying , dividing, squaring and unsquaring real numbers.
   
   
2. Students will make connections between different number representations by understanding the inter-relationship between fractions, decimals and percents. This goal is achieved through the use of benchmark fractions decimals and percents. An example of these benchmark fractions are 1/2, 1/4, 1/3, 1/5, & 1/10.
   
   
3. Students will be able to determine which tool or strategy is most appropriate or efficient in solving numerical problems.
   

4. Students will explore, describe, extend and represent patterns and regularities using natural language, arrow language, word formulas, and formal algebraic equations.
   
   
5. Students will use a variety of methods to solve and/or graph algebraic equations, including linear, quadratic, cubic and exponential equations.
   
   
6. Students will understand and recognize the advantages and disadvantages of different representations (table, direct and recursive formulas, and visual model) in solving problems.

7. Students explore, create and move between two-dimensional representations and three dimensional objects.
   
   
8. Students will estimate and measure angles, use scale to find distances, and compare rectangular and polar coordinate systems.
   
   
9. Students will construct and study geometric shapes and solids by investigating concepts of area, perimeter, volume, congruence, similarity and transformations.
   
   
10. Connecting algebra and geometry, students will understand and represent the relationship among steepness, angle, and height-to-distance ratio in a variety of naturally occurring contexts.
    

11. Students will design, conduct and analyze ways of gathering data through the use of surveys, simulations, and experiments, recognizing the importance of a representative and random sample and possible instances of bias.
    
    
12. Students will organize and summarize data by selecting an appropriate graphical and/or numerical summary representation that best describes the data. Students will draw conclusions based on data and build arguments using data and graphs.
    
    
13. Students will use chance trees, counting strategies, cross tables and rules to find the probabilities and make decisions using probability and expected values. Students will understand that variability is inherent in any probability situation.