MATH 050 - Mathematical Bridges

3 Credit (3 lecture, 1 lab) 4 Contact Hours [Prerequisite: Math Level 1 ][Pre- or co-requisite: GNST 100 ]

1. Read, write, compare, order, and round numbers.   
   1. Identify the composition of a number in terms of 10s, 100s, and 1000s.  
2. Add, subtract, multiply, and divide using models and computational algorithms with specified numbers.   
   1. Identify and apply patterns for multiplying by 10, 100, and 1000.   
   2. Apply exponents.   
   3. Use order of operations to solve problems.  
   4. Identify equivalent expressions.  
3. Estimate and mentally compute with selected whole numbers.   
   1. Use a number line to compute and explain mental math.   
   2. Use mathematical notation to describe mental math processes.    
4. Identify and apply properties of whole numbers.

Goal 2:  Students will apply various number theory properties. 

1. Determine and apply factors and multiples.  
2. Identify numbers as prime or composite.  
3. Determine the greatest common factor and least common multiple of numbers. 
4. Solve problems involving number theory.

Goal 3:  Students will operate with fractions, decimals, ratios, and percents.  

1. Demonstrate and use the meaning of fractions and decimals.  
2. Determine equivalent fractions/decimals using models and generalizations for equivalent fractions and decimals.  
3. Compare and order fractions and decimals using models.   
4. Add, subtract, multiply, and divide fractions and decimals  
5. Identify and determine equivalent ratios.  
6. Compare and order fractions using decimal equivalents with a calculator.  
7. Demonstrate the meaning of percent.  
8. Determine a percent of a number.   
   1. Calculate percent of an amount by finding 10%, 1%, and their multiples. 
9. Express ratios as percents, fractions, or decimals and relate each form to the other two.  

Goal 4:  Students will apply various problem solving strategies.  

1. Identify, use, and construct patterns.  
2. Demonstrate an understanding of a problem by organizing information to formulate a solution.  
3. Select and apply appropriate problem solving strategies. 
4. Interpret and evaluate the solution to a problem.  
5. Demonstrate logical reasoning.  
6. Apply these strategies to real-world situations.

Goal 5:  Students will collect, organize, represent, and interpret data.  

1. Generate tables from data.  
2. Organize data into categories.  
3. Construct frequency, bar, and circle graphs.  
4. Interpret graphed data.

Goal 6:  Students will employ calculators and computers.  

1. Identify specific calculator and computer keys as they relate to basic mathematical operations.  
2. Compute sums, differences, products, and quotients of whole numbers, fractions, and decimals using a calculator.  
3. Interpret the calculator display.   
4. Explain common limitations of the calculator regarding decimal number display and order of operations.   
5. Facilitate learning and problem solving by using a computer.  
6. Use a computer for supplemental instruction.