Math 7A

Syllabus

Math 7A Course Overview Math 7 continues the work you began in Math 6. You will continue to develop your knowledge of variables and how they are used in equations. You will also be further developing your skills at working with integers, fractions, decimals, and ratios. It is important to continue to practice these skills since they can be difficult to master, but are very powerful tools once learned with fluency.

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

Apply problem-solving strategies to solve real-world problems with mathematics. Compute solutions to more complex equations, manipulating equations with multiple variables. Explain what an integer is and solve various types of operations with them. Manipulate problems with fractions and decimal numbers interchangeably.

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 7A 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.

4 days: 2–5

Problem Solving 1

4 days: 6–9

Problem Solving 2

4 days: 10–13

Patterns and Number Sense 1

5 days: 14–18

Patterns and Number Sense 2

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Type Course Orientation Lesson

Utilize the steps to solve word problems. Use five problem solution strategies: work backwards, cue words, make a table, extra facts, and simpler problem. Lesson

Decide whether estimation is appropriate or not. Round and estimate with large numbers, decimals, and fractions. Check problems with estimation. Lesson

Rewrite numbers in exponential form. Rewrite large numbers in scientific notation. Apply order of operations to word problems and to numerical problems. Lesson

Apply divisibility rules to four-digit numbers. Use a factor tree and step diagram to find prime factorizations of composite numbers. Give the greatest common factor (GCF) of two or more whole numbers. Give the least common multiple (LCM) of two or more whole numbers.

2

Activity/Objective

Day 5 days: 19–23

Algebra 1

4 days: 24–27

Algebra 2

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5 days: 33–37

Integers 1

   6 days: 38–43

Lesson

Solve equations using Addition and Subtraction Properties of Equality. Solve equations using Multiplication and Division Properties of Equality.

Algebra 3

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Lesson

Define variable. Write equations with variables. Evaluate equations with one variable. Evaluate equations with two variables. Combine like terms.

5 days: 28–32

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Lesson

Solve two-step equations. Solve equations with variables on both sides. Solve inequalities using addition and subtraction. Graph inequalities. Lesson

Define integers and graph them on a number line. Compare the values of opposite, positive, and negative integers on a number line. Define and find absolute value. Identify parts of a coordinate plane. Define and graph ordered pairs.

Integers 2   

Lesson

Add, subtract, multiply, and divide integers. Derive rules for multiplying and dividing integers without the use of a number line. Identify and apply the Commutative, Identity, Associative, and Distributive Properties.

1 day: 44

Midterm

6 days: 45–50

Integers 3  

Type

Assessment Lesson

Create transformations using ordered pairs. Summarize patterns found in tessellations and transformations.

3

Activity/Objective

Day 5 days: 51–55

Fractions 1

6 days: 56–61

Fractions 2

4 days: 62–65

Fractions 3

5 days: 66–70

Decimals 1

4 days: 71–74

Decimals 2

4 days: 75–78

Decimals 3

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Type Lesson

Write decimals and fractions on the same number line. Find equivalent fractions. Define improper fractions and mixed numbers. Convert improper fractions to mixed numbers. Distinguish between rational and irrational numbers. Write rational numbers as fractions. Lesson

Estimate addition and subtraction of fractions. Add fractions and mixed numbers. Subtract fractions and mixed numbers. Multiply fractions and mixed numbers. Divide fractions and mixed numbers. Use the Identity Property with fractions. Lesson

Write fractions as decimals. Write decimals as fractions. Compare and order decimals, fractions, mixed numbers, and improper fractions. Lesson

Name place value of decimals through the thousandths. Place decimals on a number line and compare their values. Estimate sums and differences of decimals. Estimate products and quotients of decimals. Add and subtract decimals to find exact amounts. Round decimals to the nearest tenth, hundredth, and thousandth. Lesson

Multiply integers by decimals. Multiply decimals by decimals. Express integers and decimals in scientific notation using positive and negative exponents. Lesson

Divide decimals by integers. Divide integers by decimals. Divide decimals by decimals.

4

Activity/Objective

Day 4 days: 79–82

Ratios 1

6 days: 83–88

Ratios 2

1 day: 89

Semester Review

1 day: 90

Final Exam

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Type Lesson

Define ratio, rate, and unit rate. Write ratios. Simplify ratios to make proportions. Write rates and unit rates. Distinguish between rates and unit rates. Lesson

Solve proportions and apply the property of proportion. Use ratios and proportions with a scale. Use models to find missing dimensions of similar figures.

Assessment

5