Course Description
This course is for students intending to major in early childhood education, elementary education, special
education, or secondary education in fields outside of business, mathematics and the sciences.
Students will learn the mathematics necessary to pass math-based entrance exams for admittance into the
School of Education.
Prerequisite: MATH 098.
Credit Hours: 3
General Course Purpose
The primary purpose of MATH 1010 is to prepare students for the Praxis Core Academic Skills for Educators
Math Test.
Upon the successful completion of this course, students will satisfy these objectives:
Course Objectives
(1.) Numbers
(a.) Demonstrate the knowledge of place values of numbers and the relative magnitude of numbers.
(b.) Perform arithmetic operations of addition, subtraction, multiplication, and division of whole numbers
in multidigit computations.
(c.) Identify equivalent ways of representing integers, fractions, decimals, and percents, including the use
of exponents and scientific notation.
(d.) Solve word problems involving integers, fractions, decimals, percents, ratios, and proportions.
(2.) Fundamental Principles of Algebra
(a.) Evaluate algebraic expressions by substituting numbers for variables.
(b.) Solve linear algebraic equations and inequalities in one variable.
(c.) Identify equivalent algebraic expressions.
(d.) Graph ordered pairs and number relationships presented in tabular or symbolic form.
(e.) Identify the linear equation that best represents data presented in tabular or graphic form.
(3.) Measurements and Units
(a.) Identify a measurement or measurement unit needed to solve a problem.
(b.) Convert units within and between standard and metric measurement systems.
(c.) Solve real-world problems involving basic measurement.
(4.) Basic Geometry
(a.) Discuss the meaning of lines, line segments, and angles.
(b.) Solve problems involving lines, line segments, and angles.
(c.) Analyze the fundamental properties of triangles, quadrilaterals, and circle.
(d.) Solve problems involving the length, perimeter, and area of basic shapes and the surface area and
volume of rectangular solids.
(e.) Solve real-world problems involving geometric concepts, including the Pythagorean theorem.
(5.) Probability and Statistics
(a.) Calculate the probability of a given outcome.
(b.) Analyze information presented in tables, line graphs, scatter plots, pictographs, bar graphs,
histograms, and pie charts.
(c.) Recognize the appropriate graphic representation of data.
(d.) Compute and interpret the mean, median, and mode of data.
(e.) Demonstrate knowledge of the concepts of range, standard deviation, and spread.
(f.) Recognize appropriate and inappropriate uses of basic statistics.
(6.) Problem Solving, Reasoning, and Mathematical Communication
(a.) Estimate the solution to a given problem.
(b.) Evaluate the reasonableness of a solution to a given computation or problem.
(c.) Perform a given calculation or solve a given problem using algorithms (i.e., a set of instructions).
(d.) Identify missing terms in numerical and graphical patterns using inductive reasoning.
(e.) Draw conclusions and evaluate arguments using deductive reasoning.
(f.) Translate between written English and mathematical terminology, concepts, and notation.
This week we will focus on...
Week 1 Learning Objectives:
Upon completion of this week, students will:
(1.) Estimate the solution to a given problem.
(2.) Evaluate the reasonableness of a solution to a given computation or problem.
(3.) Perform a given calculation or solve a given problem using algorithms (i.e., a set of instructions).
(4.) Classify numbers.
(5.) Demonstrate the knowledge of place values of numbers and the relative magnitude of numbers.
This week we will focus on...
Week 2 Learning Objectives:
Upon completion of this week, students will:
(1.) Discuss the concept of fractions.
(2.) Identify equivalent ways of representing fractions.
(3.) Solve word problems involving fractions.
(4.) Discuss the concept of decimals.
(5.) Round decimals.
(6.) Identify equivalent ways of representing decimals.
(7.) Solve word problems involving decimals.
This week we will focus on...
Week 3 Learning Objectives:
Upon completion of this week, students will:
(1.) Discuss the concept of ratios.
(2.) Discuss the concept of proportions.
(3.) Solve word problems involving ratios.
(4.) Solve word problems involving proportions.
This week we will focus on...
Week 4 Learning Objectives:
Upon completion of this week, students will:
(1.) Discuss the concept of percents.
(2.) Discuss the concept of exponents.
(3.) Discuss the concept of scientific notation.
(4.) Write numbers in standard notation to scientific notation.
(5.) Write numbers in scientific notation to standard notation.
(6.) Solve word problems involving percents.
(7.) Solve word problems involving exponents.
(8.) Solve word problems involving scientific notation.
This week we will focus on...
Week 5 Learning Objectives:
Upon completion of this week, students will:
(1.) Discuss the concept of rates.
(2.) Solve applied problems on rates.
(3.) Discuss direct proportional relationship between two or more quantities.
(4.) Discuss the inverse proportional relationship between two or more quantities.
(5.) Solve applied problems on proportional relationships.
(6.) Solve applied problems on percents.
This week we will focus on...
Week 6 Learning Objectives:
Upon completion of this week, students will:
(1.) Evaluate algebraic expressions by substituting numbers for variables.
(2.) Identify equivalent algebraic expressions.
(3.) Solve algebraic expressions.
(4.) Solve linear algebraic equations in one variable.
(5.) Check the solution of linear equations in one variable.
(6.) Translate between written English and mathematical terminology, concepts, and notation.
(7.) Solve applied problems on linear equations in one variable.
(8.) Evaluate the reasonableness of a solution to an applied problem.
This week we will focus on...
Week 7 Learning Objectives:
Upon completion of this week, students will:
(1.) Discuss the topic of relations.
(2.) Discuss the topic of functions.
(3.) List the different ways to represent relations.
(4.) Graph ordered pairs and number relationships presented in tabular or symbolic form.
(5.) Discuss the topic of linear functions.
(6.) Identify the linear equation that best represents data presented in tabular or graphic form.
(7.) Discuss the slope concept.
(8.) Determine the slope of a linear function.
(9.) Express linear functions in different forms.
(10.) Solve applied problems on linear functions.
(11.) Evaluate functions for a given value of the variable.
(12.) Perform arithmetic operations on functions.
(13.) Discuss the meaning of lines, line segments, and angles.
(14.) Solve problems involving lines, line segments, and angles.
This week we will focus on...
Week 8 Learning Objectives:
Upon completion of this week, students will:
(1.) Discuss the Mensuration of geometric figures.
(2.) Analyze the fundamental properties of circles.
(3.) Analyze the fundamental properties of spheres.
(4.) Analyze the fundamental properties of triangles.
(5.) Analyze the fundamental properties of quadrilaterals.
(6.) Analyze the fundamental properties of other polygons.
This week we will focus on...
Week 9 Learning Objectives:
Upon completion of this week, students will:
(1.) Solve problems involving the mensuration of circles.
(2.) Solve problems involving the mensuration of triangles.
(3.) Solve problems involving the mensuration of quadrilaterals.
(4.) Solve problems involving the mensuration of other polygons.
(5.) Submit your draft on the Measurements and Units project.
This week we will focus on...
Week 10 Learning Objectives:
Upon completion of this week, students will:
(1.) Identify a measurement or measurement unit needed to solve a problem.
(2.) Convert units within and between standard and metric measurement systems.
(3.) Discuss the types of errors in measurements.
(4.) Discuss the accuracy and precision of measurements.
(5.) Solve real-world problems involving measurements.
This week we will focus on...
Week 11 Learning Objectives:
Upon completion of this week, students will:
(1.) Determine the areas of triangles.
(2.) Determine the area of circles.
(3.) Determine the circumference of circles.
(4.) Discuss the concept of the constant, π
(5.) Determine the areas of parallelograms.
(6.) Determine the areas of other polygons.
(7.) Solve applied problems involving the areas of triangles.
(8.) Solve applied problems involving the area and circumference of circles.
(9.) Solve applied problems involving the areas of parallelograms.
(10.) Solve applied problems involving the areas of other polygons.
This week we will focus on...
Week 12 Learning Objectives:
Upon completion of this week, students will:
(1.) Determine the perimeters of triangles.
(2.) Determine the perimeter (circumference) of circles.
(3.) Determine the perimeters of parallelograms.
(4.) Determine the perimeters of other polygons.
(5.) Solve applied problems involving the perimeters of triangles.
(6.) Solve applied problems involving the perimeter (circumference) of circles.
(7.) Solve applied problems involving the perimeters of parallelograms.
(8.) Solve applied problems involving the perimeters of other polygons.
(9.) Discuss the relationship between the area and perimeter of shapes.
(10.) Discuss the Pythagorean Theorem.
(11.) Prove the Pythagorean Theorem using the Moving and Additivity Principles.
(12.) Solve real-world problems involving the Pythagorean theorem.
This week we will focus on...
Week 13 Learning Objectives:
Upon completion of this week, students will:
(1.) Discuss the properties of solid shapes.
(2.) Determine the surface areas of solid shapes.
(3.) Determine the volumes of solid shapes.
(4.) Solve applied problems involving the surface areas of solid shapes.
(5.) Solve applied problems involving the volumes of solid shapes.
This week we will focus on...
Week 14 Learning Objectives:
Upon completion of this week, students will:
(1.) Discuss Introductory Statistics.
(2.) Discuss data collection techniques.
(3.) Organize data.
(4.) Present data.
(5.) Recognize the appropriate graphic representation of data.
(6.) Analyze information presented in tables, line graphs, scatter plots, pictographs, bar graphs, histograms, and pie charts.
(7.) Discuss the meaning of Descriptive Statistics.
(8.) Discuss the Measures of Center.
(9.) Compute and interpret the mean, median, and mode of data.
(10.) Discuss the Measures of Spread.
(11.) Demonstrate knowledge of the concepts of range, standard deviation, and spread.
(12.) Recognize appropriate and inappropriate uses of basic statistics.
(13.) Solve applied problems on Descriptive Statistics.
This week we will focus on...
Week 15 Learning Objectives:
Upon completion of this week, students will:
HAPPY THANKSGIVING.
Please complete all outstanding assignments.
This week we will focus on...
Week 16 Learning Objectives:
Upon completion of this week, students will:
(1.) Discuss the topic of Probability.
(2.) Discuss the concept and types of events.
(3.) Explain the laws of probability.
(4.) Determine the probability of events.
(5.) Solve applied problems on Probability.