MAT 0950 Course Objectives

Transcription

1 MAT 0950 Course Objectives 5/15/20134/27/2009 A student should be able to R1. Do long division. R2. Divide by multiples of 10. R3. Use multiplication to check quotients. 1. Identify whole numbers. 2. Identify the place value of a digit through hundred-trillions. 3. Write a whole number in words or digits. 4. Write positive and negative numbers used in everyday situations. 5. Graph signed numbers on a number line. 6. Use the < and > symbols to compare integers. 7. Find the absolute value of integers. 8. Add integers. 9. Identify properties of addition. 10. Find the opposite of a signed numbers. 11. Subtract integers. 12. Combine adding and subtracting of integers. 13. Locate the place to which a number is to be rounded. 14. Round integers. 15. Use front end rounding to estimate answers in addition and subtraction. 16. Use a raised dot or parentheses to express multiplication. 17. Multiply integers. 18. Identify properties of multiplication. 19. Estimate answers to application problems involving multiplication. 20. Divide integers. 21. Identify properties of division. 22. Combine multiplication and dividing of integers. 23. Estimate answers to application problems involving division. 24. Interpret remainders in division application problems. 25. Use exponents to write repeated factors. 26. Simplify expressions containing exponents. 27. Use the order of operations. 28. Simplify expressions with fraction bars. 29. Identify variables, constants, and expressions. 30. Evaluate variable expressions for given replacement values. 31. Write properties of operations using variables. 32. Use exponents with variables. 33. Combine like terms using the distributive property. 34. Simplify expressions. 35. Use the distributive property to multiply. 36. Determine whether a given number is a solution of an equation. 1

2 37. Solve equations using the addition property of equality. 38. Simplify equations before using the addition property of equality. 39. Solve equations using the division property of equality. 40. Simplify equations before using the division property of equality. 41. Solve equations such as x = Solve equations using the addition and division properties of equality. 43. Solve equations using the distributive, addition, and division properties. 44. Use the formula for perimeter of a square to find the perimeter or the length of one side. 45. Use the formula for perimeter of a rectangle to find the perimeter, the length, or the width. 46. Find the perimeter of parallelograms, triangles, and irregular shapes. 47. Use the formula for area of a rectangle to find the area, the length, or the width. 48. Use the formula for area of a square to find the area or the length of one side. 49. Use the formula for area of a parallelogram to find the area, base, or the height. 50. Solve application problems involving perimeter and area of rectangles, squares, or parallelograms. 51. Translate word phrases into algebraic expressions. 52. Translate sentence into equations. 53. Solve application problems with one unknown quantity. 54. Solve application problems with two unknown quantities. 55. Use a fraction to name the part of a while that is shaded. 56. Identify numerators, denominators, proper fractions, and improper fractions. 57. Graph positive and negative fractions on a number line. 58. Find the absolute value of a fraction. 59. Write equivalent fractions. 60. Identify fractions written in lowest terms. 61. Write a fraction in lowest terms using common factors. 62. Write a number as a product of prime factors. 63. Write a fraction in lowest terms using prime factorization. 64. Write a fraction with variables in lowest terms. 65. Multiply signed fractions. 66. Multiply fractions that involve variables. 67. Divide signed fractions. 68. Divide fractions that involve variables. 69. Solve application problems involving multiplying and dividing fractions. 70. Add and subtract like fractions. 71. Find the lowest common denominator for unlike fractions. 72. Add and subtract unlike fractions. 73. Add and subtract unlike fractions. 74. Add and subtract unlike fractions that contain variables. 75. Identify mixed numbers and graph them on a number line. 76. Rewrite mixed numbers as improper fractions, or the reverse 77. Estimate the answer and multiply or divide mixed numbers. 78. Estimate the answer and add or subtract mixed numbers. 79. Solve application problems containing mixed numbers. 80. Simplify fractions with exponents. 2

3 81. Use the order of operations with fractions. 82. Simplify complex fractions. 83. Use the multiplication property of equality to solve equations containing fractions. 84. Use both the addition and multiplication properties of equality to solve equations containing fractions. 85. Solve application problems using equations containing fractions. 86. Find the area of a triangle. 87. Find the volume of a rectangular solid. 88. Find the volume of a pyramid. 89. Write parts of a whole using decimals. 90. Identify the place value of a digit. 91. Read decimal numbers. 92. Write decimals as fractions or mixed numbers. 93. Learn the rules for rounding decimals. 94. Round decimals to any given place. 95. Round money amounts to the nearest cent or nearest dollar. 96. Add and subtract positive decimals. 97. Add and subtract negative decimals. 98. Estimate the answer when adding or subtracting decimals. 99. Multiply positive and negative decimals Estimate the answer when multiplying decimals Divide a decimal by an integer Divide a number by a decimal Estimate the answer when dividing decimals Estimate the answer when dividing decimals Use the order of operations with decimals Write fractions as equivalent decimals Compare the size of fractions and decimals Find the mean of a list of numbers Find a weighted mean Find the median Find the mode Find square roots of perfect squares Find the unknown length in a right triangle Solve application problems involving right triangles Solve equations containing decimals using the addition property of equality Solve equations containing decimals using the division property of equality Solve equations containing decimals using both properties of equality Solve application problems involving equations with decimals Find the radius and diameter of a circle Find the circumference of a circle Find the area of a circle Write ratios as fractions Solve ratio problems involving decimals or mixed numbers Solve ratio problems after converting units. 3

4 125. Write rates as fractions Find unit rates Find the best buy based on cost per unit Write proportions Determine whether proportions are true or false Find the unknown number in a proportion Use proportions to solve application problems Identify parallel and intersecting lines Classify angles as right, acute, straight, or obtuse Identify perpendicular lines Identify complementary angles and supplementary angles and find the measure of a complement or supplement of a given angle Identify corresponding parts of similar triangles Find the unknown lengths of sides in similar triangles Solve application problems involving similar triangles Learn the meaning of percent Write percents as decimals Write decimals as percents Write percents as fractions Write fractions as percents Use 100% and 50% Identify the percent, whole, and part Solve percent problems using the percent proportion Estimate answers to percent problems involving 25% Find 10% and 1% of a number by moving the decimal point Solve basic percent problems using the percent equation Solve percent application problems Solve problems involving percent of increase or decrease Find sales tax and total cost Estimate and calculate restaurant tips Find the discount and sale price Calculate simple interest and the total amount due on a loan Learn the basic measurement units in the English system Convert among measurement units using multiplication or division Convert among measurement units using unit fractions Solve application problems using English measurement Learn the basic metric units of length Use unit fractions to convert among units Move the decimal point to convert among units Learn the basic metric units of capacity Convert among metric capacity units Learn the basic metric units of weight (mass) Convert among metric weight (mass) units Distinguish among basic metric units of length, capacity, and weight (mass). 4

5 168. Solve application problems involving metric measurements Learn common temperatures on the Celsius scale Use formulas to convert among Celsius and Fahrenheit temperatures Read and interpret data presented in a table Read and interpret bar graphs Read and interpret line graphs Read and interpret circle graphs Plot a point, given the coordinates, and find the coordinates, given a point Identify the four quadrants and determine which points lie within each one Graph linear equations in two variables using a table of values Graph linear equations in two variables using the intercept method Identify the slope of a line as positive or negative Graph linear equations in two variables using the slope -intercept form Understand the use of exponents Use the product rule for exponents Use the rule (a m ) n = a mn 184. Use the rule (ab) m = a m b m Use the rule (a/b) m = a m /b m Use 0 as an exponent Use negative numbers as exponents Use the quotient rule for exponents Use the product rule with negative exponents Express numbers in scientific notation Convert numbers in scientific notation to numbers without exponents Use scientific notation in calculations Solve application problems using scientific notation Review combining like terms Use the vocabulary for polynomials Evaluate polynomials Add polynomials Subtract polynomials Multiply a monomial and a polynomial Multiply two polynomials Square a binomial Divide a polynomial by a monomial. Study Skills 5