Students will learn to solve two-step equations and will work with inequalities. This course will offer a solid foundation in mathematics by exploring topics that include geometric concepts and probability. The geometry discussion will include lines, rays, segments, angles, triangles, quadrilaterals, circles, irregular figures, prisms, and cylinders. With probability, students will work with experimental and theoretical probability, as well as permutations and combinations. Students will also work with percentages, a concept from Math 7 Part 1. Students can utilize videos, online games, and practice problems to help emphasize key concepts.
It is recommended that students successfully complete Math 7 Part 1 or equivalent course work before enrolling in this course.
Course Objectives
Unit 1: Essential Content and Skills
- Demonstrate understanding of equivalent fractions by converting decimals to percents.
- Use understanding of algebraic equations to solve problems involving percents.
- Translate verbal phrases into algebraic equations to represent a given problem situation.
- Use knowledge of percents to solve problems involving percent of change, such as finding markups and discounts.
- Apply the simple interest formula to calculate the simple interest and account balance of a problem situation.
- Use mean, median, mode, and range to analyze and describe a box-and-whisker plot.
- Organize and interpret a set of data using a stem-and-leaf plot or a frequency table.
Unit 2: Essential Content and Skills
- Apply knowledge of complementary and supplementary angles in order to calculate the measures of angles formed by lines or rays.
- Identify parallel, perpendicular, and skew lines when given a geometric figure.
- Identify and find the measures of the angles formed by a transversal.
- Apply knowledge of triangles and quadrilaterals to find unknown angle measures in polygons.
- Use congruence to solve for a missing value in mathematical and real-world problem situations.
- Use the perimeter formulas of polygons and the circumference formula of a circle to solve mathematical and real-life problems.
- Use the area formulas of the parallelogram, triangle, circle, and trapezoid to solve mathematical and real-life problems.
Unit 3: Essential Content and Skills
- Solve real-world and mathematical problems involving the area of irregular figures.
- Apply knowledge of the area of two-dimensional figures to calculate the volumes of prisms and cylinders.
- Solve mathematical and real-world problem situations involving the volumes of three-dimensional figures.
- Solve mathematical and real-world problems involving the surface area of three-dimensional figures.
- Solve mathematical and real-world situations involving probability.
- Apply the equally likely probability formula to calculate the theoretical probability of an event given a real-world problem situation.
- Determine whether an event is independent or dependent given a problem situation.
Unit 4: Essential Content and Skills
- Apply the Counting Principle and tree diagrams to find or represent the number of permutations of a given event or set of objects.
- Find the probabilities of compound events using organized lists and tree diagrams.
- Use multi-step equations to solve real-life problems.
- Use equations with variables on both sides to solve real-life problems.
- Solve one-step inequalities by adding, subtracting, multiplying, or dividing.
- Apply knowledge of the properties of inequalities and inverse operations to solve multi-step inequalities.
Course Materials
- Holt McDougal Mathematics (textbook)
*Available as an iText course