Unit 1Factors and multiples
1 lesson1 Week
Factors and multiples
 Week 1
Lesson 1
Factors and multiples
In this foundational week, students delve into the fundamental concepts of factors and multiples, understanding how numbers can be decomposed into their constituent parts. Through hands-on activities and exercises, they explore the relationship between factors and multiples, laying the groundwork for more complex mathematical concepts.
Unit 2Patterns
1 lesson1 Week
Patterns
 Week 2
Lesson 2
Patterns
Students explore the intriguing world of patterns, both numerical and geometric, discovering the underlying structures and rules that govern them. They learn to recognize and extend patterns, sharpening their analytical skills and fostering a deeper understanding of mathematical relationships.
Unit 3Ratios and rates
1 lesson1 Week
Ratios and rates
 Week 3
Lesson 3
Ratios and rates
This week focuses on ratios and rates, essential tools for comparing quantities and understanding proportional relationships. Students explore real-world scenarios where ratios and rates are used, honing their ability to interpret and apply these mathematical concepts in various contexts.
Unit 4Percentages
1 lesson1 Week
Percentages
 Week 4
Lesson 4
Percentages
The concept of percentages takes center stage as students learn to calculate, interpret, and apply percentages in different situations. Through problem-solving tasks and real-life examples, they gain proficiency in understanding percentages as fractions and decimals, laying the groundwork for more advanced topics.
Unit 5Exponents intro and order of operations
1 lesson1 Week
Exponents intro and order of operations
 Week 5
Lesson 5
Exponents intro and order of operations
Building on their understanding of arithmetic operations, students are introduced to exponents and the order of operations. They learn to evaluate numerical expressions involving exponents and multiple operations, mastering the foundational rules that govern mathematical computations.
Unit 6Variables & expressions
1 lesson1 Week
Variables & expressions
 Week 6
Lesson 6
Variables & expressions
Students embark on their journey into algebra, exploring variables and algebraic expressions. They learn to manipulate algebraic expressions, simplify expressions, and solve problems involving variables, developing essential algebraic skills that are the building blocks for more advanced topics.
Unit 7Equations & inequalities introduction
1 lesson1 Week
Equations & inequalities introduction
 Week 7
Lesson 7
Equations & inequalities introduction
Equations and inequalities take center stage as students learn to solve and graph them on the coordinate plane. Through problem-solving tasks and real-world scenarios, they develop strategies for solving equations and inequalities, laying the groundwork for more complex algebraic concepts.
Unit 8Percent & rational number word problems
1 lesson1 Week
Percent & rational number word problems
 Week 8
Lesson 8
Percent & rational number word problems
Students apply their understanding of percentages and rational numbers to solve word problems encountered in various contexts. They analyze real-world scenarios, identify relevant information, and use mathematical strategies to solve problems, honing their critical thinking and problem-solving skills.
Unit 9Proportional relationships
1 lesson1 Week
Proportional relationships
 Week 9
Lesson 9
Proportional relationships
This week focuses on proportional relationships between quantities, a fundamental concept in mathematics. Students explore proportional reasoning, learning to identify and interpret proportional relationships in different contexts and apply them to solve problems.
Unit 10One-step and two-step equations & inequalities
1 lesson1 Week
One-step and two-step equations & inequalities
 Week 10
Lesson 10
One-step and two-step equations & inequalities
Building on their understanding of equations and inequalities, students tackle one-step and two-step equations and inequalities. They learn to solve equations and inequalities using a variety of strategies, developing fluency in algebraic problem-solving techniques.
Unit 11Roots, exponents, & scientific notation
1 lesson1 Week
Roots, exponents, & scientific notation
 Week 11
Lesson 11
Roots, exponents, & scientific notation
Students deepen their understanding of exponents, roots, and scientific notation, essential concepts in mathematics and science. They explore the properties of exponents, learn to simplify expressions involving roots, and understand the importance of scientific notation in representing large and small numbers.
Unit 12Multi-step equations
1 lesson1 Week
Multi-step equations
 Week 12
Lesson 12
Multi-step equations
This week focuses on solving multi-step equations, requiring students to apply multiple algebraic techniques to find the solution. Through practice and problem-solving tasks, they develop perseverance and precision in solving complex algebraic equations.
Unit 13Two-variable equations
1 lesson1 Week
Two-variable equations
 Week 13
Lesson 13
Two-variable equations
Students explore equations involving two variables, learning to graph and interpret linear equations in the coordinate plane. They analyze the relationship between two variables and learn to represent it graphically, laying the foundation for more advanced topics in algebra and geometry.
Unit 14Functions and linear models
1 lesson1 Week
Functions and linear models
 Week 14
Lesson 14
Functions and linear models
The concept of functions is introduced as students explore linear functions and their graphical representations. They learn to analyze linear relationships, interpret slope and y-intercept, and use linear models to make predictions and solve real-world problems.
Unit 15Systems of equations
2 lessons2 Weeks
Systems of equations
 Week 15
Lesson 15
Systems of equations
Students delve into systems of linear equations, learning to solve them using various methods such as substitution, elimination, and graphing. They explore the geometric interpretation of systems of equations and apply them to solve problems encountered in different contexts.
 Week 16
Lesson 16
Review
In this culminating week, students engage in a comprehensive review of all topics covered throughout the course. They consolidate their learning, identify areas for improvement, and prepare for assessments, ensuring a strong foundation in pre-algebra concepts and skills.