# Basic Math II Course Design

**Course Information**

Organization |
Eastern Arizona College |

Division |
Social Science |

Course Number |
ABS 031 |

Title |
Basic Math II |

Credits |
2 |

Developed by |
Robin Link |

Lecture/Lab Ratio |
1 Lecture/2 Lab |

Transfer Status |
Non-transferable |

Activity Course |
No |

CIP Code |
32.0100 |

Assessment Mode |
Pre/Post Test (25 Questions/100 Points) |

Semester Taught |
Upon Request |

GE Category |
None |

Separate Lab |
No |

Awareness Course |
No |

Intensive Writing Course |
No |

**Prerequisites
**None

Student must successfully complete Basic Math I or receive a scale score between the ranges of 442-505.

**Educational Value
**This course is designed for anyone who needs a refresher course in basic
math skills.

**Description
**This course is an introduction to number sense, data analysis, measurements
and beginning algebra and

geometry.

**Textbooks
**Textbooks will be provided by the instructor in the classroom.

**Supplies**

Students are responsible to bring paper, pencils, eraser, and a calculator to class.

**Competencies and Performance Standards**

**1. Develops and applies number sense to solve a variety
of real-life problems and to determine
if the results are reasonable.**

**Learning objectives
**

*What you will learn as you master the competency:*

a. Represents, orders and compares very large and very small positive numbers (decimals,

fractions, mixed numbers) using a number line

b. Understands the place value of whole numbers and decimals

c. Multiplies and divides (long division) multi-digit whole numbers

d. Identifies and uses correct order of operations

e. Understands and uses the following mathematical symbols: /, ., %, *, (), {}, <

f. Performs operations with fractions and mixed numbers

g. Performs operations with decimals and mixed numbers

h. Represents and uses numbers in equivalent forms

i. Estimates results of computations with whole numbers, positive fractions, mixed

numbers and decimals

**Performance Standards
**

*You will demonstrate your competence:*

On assigned activities

On exams

On a post test

*Your performance will be successful when:
*You can apply the skills in sub-indicators a-b to decimals to thousandths
and positive

whole numbers to 1,000,000,000

You can multiply multi-digit numbers

You can divide multi-digit whole numbers by multi-digit divisors by fractional

remainders

You can determine the prime factors of all numbers through 50

You can use a calculator to verify written work

You can add, subtract, multiply and divide fractions, including mixed numbers

You can reduce answers to the lowest terms

You can simplify fractions by finding common factors

You can interpret percent as part of 100

You can determine equivalent fractions, mixed numbers, decimals and percents, and

demonstrate how they are equivalent

You can select the appropriate operation to solve problems and determine the

reasonableness of results

You can estimate and round very large (e.g., millions) and very small (e.g., thousandths)

numbers

**2. Applies data collection, data analysis, and
probability to interpret, predict and/or solve
real-life problems.**

**Learning objectives
**

*What you will learn as you master the competency:*

a. Analyzes data in tables, charts and graphs (pictographs, bar graphs, circle graphs)

b. Predicts the likelihood of events and quantifies it as a percent or ratio

c. Understands the definition of mean or average and computes averages

**Performance Standards
**

*You will demonstrate your competence:*

On assigned activities

On exams

On a post test

*Your performance will be successful when:
*You can interpret and analyze data from graphs and representations (circle
graphs,

histograms and bar graphs) where each symbol represents one unit or multiple units

You can use the results of probability experiments to predict a future event

You can represent probabilities as ratios, proportions, decimals between 0 and 1, and

percentages between 0 and 100 and verify that the probabilities computed are reasonable

You can compute an average based on information from pictographs, circle graphs and

bar graphs

**3. Applies algebraic concepts and methods to explore,
analyze or solve real-life problems.
Learning objectives**

*What you will learn as you master the competency:
*a. Uses variables to understand and solve simple algebraic expressions

b. Represents simple functional relationships

**Performance Standards
**

*You will demonstrate your competence:*

On assigned activities

On exams

On a post test

Your performance will be successful when:

You can evaluate simple algebraic expressions in one variable using substitution

You can identify the variable and the constant in word problems

You can use parentheses to indicate which operation to perform first when
writing

expressions containing more than two terms and different operations.

You can set up proportional relationships, using a single variable

**4. Uses geometric properties, relationships and methods
to identify, analyze and solve real-life
problems.
Learning objectives**

*What you will learn as you master the competency:*

a. Compares, contrasts and analyzes the attributes of properties of and relationships

between geometric shapes

**Performance Standards
**

*You will demonstrate your competence:*

On assigned activities

On exams

On a post test

*Your performance will be successful when:*

You can draw the points corresponding to linear relationships on graph paper (e.g., draw

10 points on the graph of the equation y = 3x and connect with a straight line)

You can compare and contrasts the characteristics of polygons (e.g., number of sides,

shapes of faces, corners, right angles, diagonals and symmetry.

You can compare and contrast the characteristics of solid geometric figures (e.g., cube,

rectangular containers, sphere, prism and pyramid)

You can identify symmetry (line and rotational) in two dimensional shapes

You know the definitions of right angles, acute angles and obtuse angles

You understand and use the formulas to compute area and perimeter of square and

rectangular figures

**5. Applies knowledge of standard measurements to
real-life situations.
Learning objectives**

*What you will learn as you master the competency:*

a. Measures with US customary and metric units

**Performance Standards
**

*You will demonstrate your competence:*

On assigned activities

On exams

On a post test

*Your performance will be successful when:
*You can identify the appropriate type of measurement for each attribute of
an object or

event and justify answer

• Length – inches, feet, yards, millimeters, centimeters, meters and kilometers

• Capacity – cups, gallons, milliliters, liters

• Weight – ounces, pounds, tons, grams and kilograms

• Area – square unit

• Volume – cubic unit

You can compare units of measurement to determine more or less

**Types of Instruction
**Classroom Presentation

**Grading Information
Grading Rationale
**Evaluation Methods:

Each instructor has the flexibility to develop evaluative procedures within the following parameters.

1. Written assignments must represent 50% of the course grade

2. Exams must represent 25% of the course grade

3. Post Test must represent 25% of the course grade

**Grading Scale
**Pass 70%- 100%

Fail Below 70%