Math 7B

Syllabus

Math 7B Course Overview Math 7 will explore topics that you’ve seen before, but in greater depth. These topics include connecting measurements to numbers in equations, interpreting the measurements, examining geometric shapes in order to measure real-world objects, and graphing techniques which provide context for mathematical relationships. All these tools are important, since you’ll encounter them throughout your studies in mathematics.

Course Goals By the end of this course, you will be able to do the following:      

Estimate and calculate percentages of various quantities. Describe how measurement relates to units used in equations. Use geometric shapes to measure and model objects in the real world. Analyze relationships between geometric shapes and their individual properties, such as angle or side length. Calculate simple probabilities. Graph equations to reveal information in unique and useful ways.

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 7B is a 0.5-credit course.

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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. Activity/Objective

Day 1 day: 1

Syllabus and Plato Student Orientation Review the Plato Student Orientation and Course Syllabus at the beginning of this course.

3 days:

Percent 1

2–4

4 days: 5–8

4 days: 9–12

    

Write equivalent forms of percents, decimals, and fractions. Estimate percentages when given a fraction. Estimate percentages of numbers. Use proportions to find the percentage of a number. Find exact percentages of numbers using decimals. Lesson

Find percent change. Use percent change to solve problems. Compose a circle graph from a data table by using percent change and include equivalent fractions in the circle graph.

Percent 3   

Lesson

Use knowledge of variables, decimals, and algebra to solve problems involving simple interest. Find the sale price of items. Select the best sale items to save the most money when shopping.

5 days:

Measurement

13–17

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

Course Orientation Lesson

Percent 2   

Type

Lesson

Choose the most appropriate unit to measure length, volume, and weight of everyday objects and distances using both the metric and customary systems. Convert measurements of length, volume, and mass within the same system of measurement.

2

Activity/Objective

Day 6 days:

Geometry 1

18–23

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Lesson

Identify a point, line, ray, and line segment. Use rays, points, and lines to make acute, right, obtuse, and straight angles. Identify parallel, perpendicular, and intersecting lines as well as the angles formed by lines. Identify polygons and their names using their number of sides. Find the sum of the interior angles of polygons. Determine the measure of an angle by using knowledge of complementary, supplementary, and vertical angles.

5 days:

Geometry 2

24–28

   

Type

Lesson

Differentiate between polygons and non-polygons. Identify quadrilaterals and triangles according to sides and angles. Find the perimeter of polygons. Find the perimeter of polygons using ratios and similar figures.

5 days:

Area 1

29–33

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5 days:

Area 2

34–38

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6 days:

Pythagorean Theorem and Circles

39–44

  

1 day:

Midterm

Lesson

Find the area of a rectangle. Find the area of a triangle. Find the area of a parallelogram. Lesson

Find the area of a trapezoid. Find the area of irregular polygons. Lesson

Use the Pythagorean Theorem. Find the circumference of a circle to the nearest tenth. Find the area of a circle. Assessment

45 6 days:

Surface Area

46–51

   

4 days:

Volume

52–55

 

Lesson

Name the parts of three-dimensional figures. Find the surface area of a rectangular prism. Find the surface area of a cube. Find the surface area of a cylinder. Lesson

Find the volume of a rectangular prism. Find the volume of a cylinder. 3

Activity/Objective

Day 5 days:

Statistics 1

56–60

   

Type Lesson

Solve problems by organizing data into a table. Create and interpret stem-and-leaf plots and box-and-whisker plots. Find the measures of central tendency for a set of numbers. Identify population and random samples.

6 days:

Statistics 2

61–66

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4 days:

Graphing 1

67–70

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5 days:

Graphing 2

71–75

   

6 days:

Graphing 3

76–81

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4 days:

Discrete Math and Probability 1

82–85

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3 days:

Discrete Math and Probability 2

86–88

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1 day: 89

Semester Review

1 day: 90

Final Exam

Lesson

Read a bar graph and line graph. Display data from a table on bar and line graphs. Evaluate the effectiveness of a graph. Make predictions when reading bar, circle, and line graphs. Revise existing misleading graphs. Lesson

Solve multi-step equations with all integers. Solve and graph inequalities with all integers. Write and graph inequalities with all integers. Lesson

Solve equations with two variables. Graph equations using function tables. Identify functions in sequences. Find patterns to complete sequences using tables. Lesson

Identify the parts of a linear function. Graph linear equations. Define and determine the slope of a line. Lesson

Determine the likelihood of an event. Find experimental and theoretical probability. Use counting methods to determine combination outcomes. Lesson

Distinguish between independent and dependent events. Find the probability of combinations of events.

Assessment

4