Unit 1Semester 1
6 lessons6 Weeks
Semester 1
 Week 1
Lesson 1
Chapter 1: The Basics
In chapter 1, students will explore different sets of numbers including whole numbers, integers, and rational numbers. They will learn the specific symbols and terminology used in prealgebra to describe mathematical operations and properties. Additionally, the chapter will cover some fundamental properties such as commutative, associative, and distributive laws, helping students understand how to apply these concepts to simplify expressions and solve equations.
 Week 2
Lesson 2
Chapter 2: Whole Numbers
In this chapter, students will delve into the foundational concepts of place value and learn efficient computation techniques. They will master rounding off numbers to simplify calculations and use estimating to check the reasonableness of answers. The chapter also covers divisibility rules, enabling students to quickly determine factors of numbers, and introduces basic factoring skills, essential for simplifying algebraic expressions and solving equations effectively.
 Week 3
Lesson 3
Chapter 3: Fractions
This chapter focuses on mastering fractions and mixed numbers. Students will learn to find equivalent fractions, reduce them to simplest terms, and adjust denominators as needed. Techniques for adding, subtracting, multiplying, and dividing both fractions and mixed numbers are covered, along with handling compound fractions. These skills will enhance students’ ability to work with complex numerical expressions and set a strong foundation for advanced math concepts.
 Week 4
Lesson 4
Chapter 4: Decimals
This chapter introduces students to the concept of place value and the skills needed to compare and compute with decimals. Students will learn strategies for estimating to verify their answers and the process for converting between fractions and decimals. These foundational skills are essential for understanding how decimals operate within our number system and for solving problems accurately in mathematics and real-life applications.
 Week 5
Lesson 5
Chapter 5: Percents
In this chapter, students will learn to seamlessly convert between percents, decimals, and fractions, understanding the relationship between these forms. They will also explore real-world applications of percents, including calculations related to discounts, interest, taxes, and proportions. This practical approach helps students apply mathematical concepts to everyday scenarios, enhancing their problem-solving skills and numerical literacy.
 Week 6
Lesson 6
Chapter 6: Integers and Rationals
This chapter introduces students to integers and rational numbers, focusing on their properties and operations. Learners will explore the rules for adding, subtracting, multiplying, and dividing integers, and extend these operations to rational numbers. The chapter aims to build a solid foundation in understanding how these number sets function within the broader mathematical landscape, preparing students for more complex algebraic concepts.
Unit 2Semester 2
6 lessons6 Weeks
Semester 2
 Week 7
Lesson 7
Chapter 7: Powers, Exponents, and Roots
This chapter covers the concepts of powers and exponents, along with square roots and cube roots. Students will learn how to effectively work with exponents to perform calculations involving powers, understand the laws that govern their operations, and apply these rules in practical contexts. Additionally, the chapter delves into finding square roots and cube roots, enhancing students’ ability to handle radical expressions and solve equations involving roots.
 Week 8
Lesson 8
Chapter 8: Powers of Ten and Scientific Notation
This chapter introduces students to the powers of ten and their application in scientific notation. Learners will explore how to express large and small numbers efficiently using powers of ten, facilitating easier calculations and comprehension. The chapter also covers converting between standard and scientific notation, a critical skill for handling data in scientific, mathematical, and technological contexts.
 Week 9
Lesson 9
Chapter 9: Measurements
This chapter explores measurement systems, focusing on the English and Metric systems. Students will learn the units and conversion methods for both systems, understand the concept of significant digits for precision in measurement, and apply these skills to measure basic geometric figures. This foundational knowledge is vital for practical applications in science, engineering, and daily life, ensuring accuracy and consistency in measurements.
 Week 10
Lesson 10
Chapter 10: Bar Charts and Graphs
This chapter introduces students to various methods of data representation including bar charts, circle charts (pie charts), and line graphs. Learners will explore how to effectively organize and display data to convey information clearly and accurately. Each type of graph will be discussed in terms of its best use case, construction, and interpretation, providing students with the skills necessary to analyze and present data visually in both academic and real-world scenarios.
 Week 11
Lesson 11
Chapter 11: Probability and Statistics
This chapter dives into the fundamentals of probability and statistics, equipping students with the tools to analyze and interpret data. They will learn about different probability models, calculate the likelihood of events, and understand statistical measures such as mean, median, mode, and range. The chapter also covers how to collect, organize, and summarize data effectively, preparing students for more complex studies in data analysis and decision-making.
 Week 12
Lesson 12
Chapter 12: Variables, Algebraic Expressions, and Simple Equations
This chapter introduces students to the basics of algebra, focusing on variables and algebraic expressions. Learners will explore how to use variables to represent unknowns and construct algebraic expressions that model real-world scenarios. The chapter also covers the techniques for simplifying these expressions and setting up equations, which are fundamental skills in algebra that pave the way for solving more complex problems in future studies.