In Math 7 Part 1, students will add, subtract, multiply, and divide fractions, decimals, and integers. In addition, they will work with equations, factors, proportions, rates, and ratios. Students will learn to solve one-step equations and will use proportions to solve real-world problems. Students will also develop an understanding of the coordinate plane by working with ordered pairs, linear and nonlinear functions, and patterns. Students can use videos, games, and practice problems to help emphasize key concepts. The concepts covered in Math 7 Part 1 are critical building blocks for Math 7 Part 2, as well as for future math classes.
It is recommended that students possess a solid understanding of the concepts covered in sixth grade math before enrolling in this course.
Course Objectives
Unit 1: Essential Content and Skills
- Use the order of operations to simplify numerical expressions.
- Apply knowledge of the order of operations to evaluate algebraic expressions.
- Translate words into variables, numbers, and operations in order to solve mathematical and real-world problems.
- Use knowledge of the number line to identify the absolute value of a given number.
- Employ knowledge of the addition of integers to solve mathematical and real-world problems.
- Apply knowledge of the subtraction of integers to solve mathematical and real-world problems.
- Employ knowledge of the multiplication and division of integers to solve mathematical and real-world problems.
Unit 2: Essential Content and Skills
- Solve one-step equations involving integers by adding, subtracting, multiplying, or dividing.
- Apply knowledge of place value to write a terminating decimal as a fraction.
- Apply knowledge of greatest common factors (GCF) to simplify fractions.
- Apply knowledge of multiplication to find the least common multiple of two or more numbers.
- Utilize estimation strategies, such as rounding, front-end estimation, and compatible numbers to approximate the values of decimals.
- Apply
knowledge of the addition, subtraction, multiplication, and division of
decimals to solve mathematical and real-world problems.
- Solve one-step equations involving decimals by adding, subtracting, multiplying, or dividing.
Unit 3: Essential Content and Skills
- Apply knowledge of addition and subtraction of fractions to solve real-world problem situations.
- Solve mathematical and real-life problems involving mixed numbers.
- Apply knowledge of improper fractions to multiply mixed numbers.
- Solve mathematical and real-life situations by multiplying.
- Apply knowledge of improper fractions and reciprocals to divide fractions and mixed numbers.
- Solve one-step equations involving fractions by adding, subtracting, multiplying, or dividing.
- Utilize proportional relationships to solve mathematical and real-world problems.
Unit 4: Essential Content and Skills
- Use proportions to solve mathematical and real-world problems.
- Use similar figures to find unknown measures.
- Solve mathematical and real-world problems involving similar figures by finding actual lengths and areas.
- Use graphs to model mathematical and real-world problem situations.
- Find the slope of a line by using the ratio of rise to run.
- Chart a line given the line’s slope and a point on the line.
- Write and graph a direct variation equation to solve mathematical and real-world problem situations.
Course Materials
- Holt McDougal Mathematics (textbook)
*Available as an iText course