Math 6B
Syllabus
Math 6B Course Overview Mathematics is the study of patterns. Since patterns exist everywhere in the world, mathematics is an invaluable source of tools which can help in understanding the world around you. In this course, you will learn about many mathematical processes which are used commonly in your life: percentages are seen commonly in stores in the form of savings, probability is used often in the news, and geometry can be used to describe the shape of almost any object you might have lying around your home. Knowing more about these mathematical operations and objects will make you better prepared to deal with the problem solving challenges you face every day.
Course Goals By the end of this course, you will be able to do the following:
Describe how ratios are related to percentages Explain how to calculate a percentage of any number Use probability to determine the chances of simple events Describe how common units of measure can be converted into each other Determine the area and perimeter of many types of shapes, such as circles, triangles, and rectangles. Determine the surface area and volume of 3D objects
General Skills To participate in this course, you should be able to do the following:
Complete basic operations with word processing software, such as Microsoft Word or Google Docs. Perform online research using various search engines. Use a calculator.
For a complete list of general skills that are required for participation in online courses, refer to the Prerequisites section of the Plato Student Orientation document, found at the beginning of this course.
Credit Value Math 6B is a 0.5-credit course. Math 6A (or equivalent) should be completed before Math 6B.
1 © 2013 EDMENTUM, INC.
Course Materials
Notebook Calculator Computer with Internet connection and speakers or headphones Microsoft Word or equivalent
Course Pacing Guide This course description and pacing guide is intended to help you keep on schedule with your work. Note that your course instructor may modify the schedule to meet the specific needs of your class. Day
Activity/Objective
Type
Syllabus and Plato Student Orientation Review the Plato Student Orientation and Course Syllabus at the beginning of this course.
Course Orientation
Fractions and Decimals Describe images and words with equivalent fractions and decimals. Convert decimals to fractions and mixed numbers. Convert fractions to decimals. Show both fractions and decimals on the number line. Compare and order fractions, decimals, and whole numbers.
Lesson
Ratios and Proportions Write ratios and rates. Express ratios and rates in lowest terms. Solve proportions using cross multiplication.
Lesson
Understanding Percent Model percents. Estimate percents. Express a given quantity as a fraction, decimal, or percent. Compare and order decimals, fractions, and percents. Identify common equivalent fractions, decimals, and percents.
Lesson
4 days:
Calculating Percent
Lesson
16–19
1 day: 1 5 days: 2–6
4 days: 7–10
5 days: 11–15
Solve one-step and two-step problems involving percents. Make estimations involving percents and determine reasonableness. Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips.
2
Day
Activity/Objective
5 days:
Probability I
20–24
Probability II
25–29
5 days:
US Customary System
30–34
Lesson
Find the probability of a series of events. Find experimental probability. Lesson
Using the customary system of units, select the appropriate unit of measure for a given situation. Convert from one unit to another within a system of measure.
5 days:
Time and the Metric System
35–39
Lesson
Determine the probability of an event happening. Use tree diagrams and other models (lists, tables) to represent possible or actual outcomes of trials. Find theoretical probability.
5 days:
Type
Lesson
Select the appropriate unit of time for a given situation. Using the metric system, select the appropriate unit of measure for a given situation. Convert from one unit to another within a system of measure.
5 days:
Geometric Figures
40–44
1 day:
Midterm Exam
Lesson
Identify plane figures. Identify relationships among points, lines, and planes. Classify angles. Measure angles using a protractor. Find the measure of angles using angle relationships. Assessment
45 Polygons, Quadrilaterals, and Perimeter Differentiate between polygons and non-polygons. Identify, describe, and classify quadrilaterals. Draw quadrilaterals from given information. Find the perimeter of polygons.
Lesson
5 days:
Triangles
Lesson
50–54
4 days: 46–49
Identify, describe, and classify triangles. Apply the properties of a triangle to determine the measure of a missing angle.
3
Day
Activity/Objective
Type
5 days:
Symmetry and Transformations
55–59
4 days:
Area of Rectangles, Parallelograms, and Triangles
60–63
5 days:
Lesson
64–68
Area of Trapezoids and Irregular Figures Find the area of a trapezoid. Use problem solving to find the area of irregular figures.
5 days:
Circles
Lesson
69–73
5 days:
Three-Dimensional Figures
74–78
Lesson
Determine if two shapes are congruent or similar. Use proportions to determine if two shapes are similar. Identify types of symmetry. Identify and perform various transformations (reflection, translation, and rotation). Lesson
Find the area of a rectangle. Find the area of a parallelogram. Find the area of a triangle.
Define a circle and the parts of a circle. Calculate the circumference of a circle. Calculate the area of a circle. Explain the relationship between pi (π), area, and circumference. Lesson
Identify three-dimensional figures based on their properties. Compare the attributes and properties of three-dimensional figures. Match three-dimensional figures with their two-dimensional representations.
Surface Area Find the surface area of prisms. Find the surface area of cylinders. Find the surface area of spheres.
Lesson
5 days:
Volume
Lesson
84–88
1 day:
Semester Review
5 days: 79–83
Calculate the volume of prisms. Calculate the volume of cylinders.
89 1 day:
Final Exam
Assessment
90
4
Math 6B Course Overview Mathematics is the study of patterns. Since patterns exist everywhere in the world, mathematics is an invaluable source of tools which can help in understanding the world around you. In this course, you will learn about many mathematical processes which are used commonly in your life: percentages are seen commonly in stores in the form of savings, probability is used often in the news, and geometry can be used to describe the shape of almost any object you might have lying around your home. Knowing more about these mathematical operations and objects will make you better prepared to deal with the problem solving challenges you face every day.
Course Goals By the end of this course, you will be able to do the following:
Describe how ratios are related to percentages Explain how to calculate a percentage of any number Use probability to determine the chances of simple events Describe how common units of measure can be converted into each other Determine the area and perimeter of many types of shapes, such as circles, triangles, and rectangles. Determine the surface area and volume of 3D objects
General Skills To participate in this course, you should be able to do the following:
Complete basic operations with word processing software, such as Microsoft Word or Google Docs. Perform online research using various search engines. Use a calculator.
For a complete list of general skills that are required for participation in online courses, refer to the Prerequisites section of the Plato Student Orientation document, found at the beginning of this course.
Credit Value Math 6B is a 0.5-credit course. Math 6A (or equivalent) should be completed before Math 6B.
1 © 2013 EDMENTUM, INC.
Course Materials
Notebook Calculator Computer with Internet connection and speakers or headphones Microsoft Word or equivalent
Course Pacing Guide This course description and pacing guide is intended to help you keep on schedule with your work. Note that your course instructor may modify the schedule to meet the specific needs of your class. Day
Activity/Objective
Type
Syllabus and Plato Student Orientation Review the Plato Student Orientation and Course Syllabus at the beginning of this course.
Course Orientation
Fractions and Decimals Describe images and words with equivalent fractions and decimals. Convert decimals to fractions and mixed numbers. Convert fractions to decimals. Show both fractions and decimals on the number line. Compare and order fractions, decimals, and whole numbers.
Lesson
Ratios and Proportions Write ratios and rates. Express ratios and rates in lowest terms. Solve proportions using cross multiplication.
Lesson
Understanding Percent Model percents. Estimate percents. Express a given quantity as a fraction, decimal, or percent. Compare and order decimals, fractions, and percents. Identify common equivalent fractions, decimals, and percents.
Lesson
4 days:
Calculating Percent
Lesson
16–19
1 day: 1 5 days: 2–6
4 days: 7–10
5 days: 11–15
Solve one-step and two-step problems involving percents. Make estimations involving percents and determine reasonableness. Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips.
2
Day
Activity/Objective
5 days:
Probability I
20–24
Probability II
25–29
5 days:
US Customary System
30–34
Lesson
Find the probability of a series of events. Find experimental probability. Lesson
Using the customary system of units, select the appropriate unit of measure for a given situation. Convert from one unit to another within a system of measure.
5 days:
Time and the Metric System
35–39
Lesson
Determine the probability of an event happening. Use tree diagrams and other models (lists, tables) to represent possible or actual outcomes of trials. Find theoretical probability.
5 days:
Type
Lesson
Select the appropriate unit of time for a given situation. Using the metric system, select the appropriate unit of measure for a given situation. Convert from one unit to another within a system of measure.
5 days:
Geometric Figures
40–44
1 day:
Midterm Exam
Lesson
Identify plane figures. Identify relationships among points, lines, and planes. Classify angles. Measure angles using a protractor. Find the measure of angles using angle relationships. Assessment
45 Polygons, Quadrilaterals, and Perimeter Differentiate between polygons and non-polygons. Identify, describe, and classify quadrilaterals. Draw quadrilaterals from given information. Find the perimeter of polygons.
Lesson
5 days:
Triangles
Lesson
50–54
4 days: 46–49
Identify, describe, and classify triangles. Apply the properties of a triangle to determine the measure of a missing angle.
3
Day
Activity/Objective
Type
5 days:
Symmetry and Transformations
55–59
4 days:
Area of Rectangles, Parallelograms, and Triangles
60–63
5 days:
Lesson
64–68
Area of Trapezoids and Irregular Figures Find the area of a trapezoid. Use problem solving to find the area of irregular figures.
5 days:
Circles
Lesson
69–73
5 days:
Three-Dimensional Figures
74–78
Lesson
Determine if two shapes are congruent or similar. Use proportions to determine if two shapes are similar. Identify types of symmetry. Identify and perform various transformations (reflection, translation, and rotation). Lesson
Find the area of a rectangle. Find the area of a parallelogram. Find the area of a triangle.
Define a circle and the parts of a circle. Calculate the circumference of a circle. Calculate the area of a circle. Explain the relationship between pi (π), area, and circumference. Lesson
Identify three-dimensional figures based on their properties. Compare the attributes and properties of three-dimensional figures. Match three-dimensional figures with their two-dimensional representations.
Surface Area Find the surface area of prisms. Find the surface area of cylinders. Find the surface area of spheres.
Lesson
5 days:
Volume
Lesson
84–88
1 day:
Semester Review
5 days: 79–83
Calculate the volume of prisms. Calculate the volume of cylinders.
89 1 day:
Final Exam
Assessment
90
4
