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# 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
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
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
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
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
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
• 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