Math Essentials
Course Overview:
Students begin the Math Essentials online course with a review of how to use basic arithmetic operations with whole numbers, integers, fractions, mixed numbers, and decimals. More complex concepts are built on these basics. Students revisit simplifying order of operation problems. They will also learn how to apply the properties of addition and multiplication, as well as the distributive property, to equation solving. This semester ends with a review of solving inequalities in one- and two-steps.
As the course progresses, students apply all of their first semester knowledge to a variety of relevant topics. They learn the relationship among ratios, rates, and proportions, and solve daily problems using proportional reasoning. Students also look at the connection between fractions, decimal numbers, and percentages. They solve problems related to tipping, commissions, interest, and percentage increase or decrease. Next students revisit their coordinate plane and linear function knowledge, expanding their horizons by applying these concepts to other function families. The course then moves to everyday geometric concepts such as perimeter, area, and volume. Students end their year of study with a critical look at scatterplots in the real-world.
Throughout the course, students will develop their mathematical skills and reasoning abilities, gaining proficiency in numerical operations, algebraic problem-solving, and geometric principles. They will learn to apply mathematical concepts to solve real-world problems, interpret data, and make connections between different mathematical ideas.
Semester 1:
In Semester A, students will focus on fundamental concepts in mathematics, including operations on whole numbers, integers, fractions, mixed numbers, and decimals. They will also learn how to solve one-step and two-step equations and inequalities. These topics provide a solid foundation in numerical operations and algebraic problem-solving.
Semester 2:
In Semester B, students will explore additional mathematical concepts such as ratios, proportions, percentages, the coordinate plane, function families, interest equations, area, perimeter, volume, the Pythagorean Theorem, and scatterplots. These concepts extend their understanding of mathematical relationships, geometry, and data analysis.