MATH 075 - Transition to Algebra

3 Credit (3 lecture, 1 lab) 4 Contact Hours [Prerequisite: Math Level 2 ] [Pre- or co-requisite: GNST 100 ]

1. Add, subtract, multiply and divide integers.  
2. Estimate and mentally compute with integer, rational, and irrational numbers.  
3. Express whole numbers in scientific notation.  
4. Solve problems involving very large and very small numbers using scientific notation.  
5. Apply order of operations rules.  
6. Apply the definition of exponents.  
7. Transfer numbers to equivalent forms as decimals, fractions, or percents.  
8. Identify appropriate uses of percents.  
9. Apply properties of ratio and proportion.

Goal 2:  Apply properties of measurement.  

1. Measure length, area, and angles.  
2. Apply unit conversion factors to convert between units of measure.  
3. Apply the relationships among the basic metric units to solve multi-step problems using unit conversion factors. 
4. Apply rates of change in order to convert from one measurement to another.  

Goal 3:  Apply geometric concepts.  

1. Identify and apply properties of shapes in the plane, such as equal sides, equal angles, and symmetry.   
2. Visualize, sketch, and construct geometric objects.  
3. Apply square roots and the Pythagorean Theorem.

Goal 4:  Apply statistics and probability concepts.  

1. Generate tables from data.  
2. Construct, read, and interpret scatter plots and line graphs.  
3. Read, interpret, determine and apply descriptive statistics such as mean, median, and mode.    
4. Choose the most appropriate average for given situations.  
5. Use tables, graphs, and descriptive statistics to determine patterns, identify trends, predict outcomes, and make wise choices.

Goal 5:  Apply problem solving and logical reasoning strategies.  

1. Apply the strategy of working backward to solve a problem.  
2. Apply logical reasoning to draw valid conclusions from given information.

Goal 6:  Employ calculators and computers to solve problems.  

1. Employ the calculator to compute with percents, integers, rational and irrational numbers.  
2. Employ the calculator and computer to solve problems.  
3. Describe certain common limitations to calculators and interpret selected calculator displayed symbols.  
4. Use a computer for supplemental instruction.