Fractions, Decimals, and Exponents with Order of Operations
Build strong computation skills with all four operations on fractions and decimals. Learn to solve numerical expressions accurately by applying the order of operations, including the use of exponents.
Understanding Integers and Parts of Expressions
Develop a deep understanding of integers on the number line and practice adding and subtracting positive and negative numbers. Explore the basic parts of algebraic expressions, including terms, variables, and coefficients.
Simplifying Expressions: Combining Like Terms & Solving One-Step Equations
Learn how to simplify expressions by combining like terms and solve introductory one-step equations, laying the foundation for algebraic problem-solving.
Exploring Inequalities and Absolute Value on the Number Line
Understand how to represent and solve inequalities on the number line. Discover the concept of absolute value as the distance of a number from zero, an essential part of comparing positive and negative values.
Practical Applications of Ratios, Unit Rates, and Percentages
Master the real-world use of ratios, unit rates, and percentages. Practice everyday scenarios like comparing prices, calculating discounts, and understanding sales tax.
Interpreting Data: Statistics with Mean, Median, Mode, and Range
Analyze data sets by calculating mean, median, mode, and range. Apply these concepts to solve real-life problems and gain confidence in working with statistics.
Geometry Focus: Area, Volume, and Coordinate Planes
Explore the area of 2D shapes and nets of 3D shapes. Calculate the volume of right rectangular prisms and practice plotting and reading coordinates on a coordinate plane.
Operations with Rational Numbers & Integers
Students will learn the essential rules for performing addition, subtraction, multiplication, and division with rational numbers, including integers, fractions, decimals, and percents. This builds a strong foundation for working confidently with numbers in multiple forms and solving real-world numerical problems.
Combining Like Terms & Evaluating Expressions
This week expands students’ understanding of key mathematical properties such as the commutative, associative, and distributive properties. Students will apply these properties to combine like terms, simplify expressions, and accurately evaluate numerical and algebraic expressions across different contexts.
Multi-Step Equations & Inequalities
Students will tackle solving multi-step algebraic equations and inequalities step by step. They’ll practice applying these skills in real-world word problems and learn how to represent inequalities on a number line. This topic helps develop logical thinking and prepares students for more advanced algebra.
Proportions, Slope, and Intercept
This week focuses on identifying and solving proportional relationships through graphs, tables, and equations. Students will also learn about the slope of a line and how to build linear equations using slope and intercept, helping them understand how quantities relate in both mathematics and everyday situations.
Unit Rates & Percentages
Students will strengthen their skills in finding unit rates and applying proportional reasoning to solve real-world problems. They'll also gain a solid understanding of percentages, learning how to apply them in practical situations like calculating discounts, tax, and interest.
Types of Angles, Angle Relationships & Geometric Shapes
This topic focuses on understanding the relationships between different types of angles, including complementary, supplementary, adjacent, and linear pairs. Students will solve geometry problems involving the surface area and volume of right prisms and cylinders, and explore the cross-sections of 3D solids.
Probability
Students will explore the basics of probability, learning how to create and analyze probability models. They’ll practice calculating the likelihood of simple events and comparing theoretical probability with actual outcomes from experiments, building essential data interpretation skills.
Expressions, Equations, and Inequalities
Step-by-step learning of how to solve multi-step algebraic equations and inequalities. Students will apply these concepts to real-world word problems and practice representing inequalities on a number line, helping them build strong foundational algebra skills.
Linear Relationships & Functions
Students will explore the concept of a function as a rule that assigns each input exactly one output. They will learn how to graph linear functions and compare the characteristics of two different functions. Instruction includes writing and explaining equations in the form y=mx+by = mx + by=mx+b, helping students understand slope and intercept in multiple contexts.
Investigating Data and Statistical Reasoning
This topic introduces scatter plots and data that shows a linear trend. Students will learn how to visually fit a straight line to data, interpret the meaning of slope as a rate of change, and analyze data distributions. They’ll use lines of best fit to make predictions and draw informal inferences from real-world data sets.
Systems of Linear Equations
Students will learn to solve real-world problems involving two linear equations with two variables. They’ll practice solving systems algebraically to find exact solutions and graph systems of equations to find the point where the two lines intersect. This week builds problem-solving strategies for both abstract equations and applied scenarios.
Irrational Numbers, Integer Exponents, and Scientific Notation
This week covers distinguishing between rational and irrational numbers through decimal expansions. Students will use square root and cube root symbols in equations and apply the properties of integer exponents. They will also learn to express and interpret very large or very small numbers using scientific notation, building skills for higher-level science and math.
Exploring Geometric Relationships
Students will explore the Pythagorean Theorem and its converse. They’ll learn how to apply the theorem to find missing side lengths in right triangles and to calculate the distance between two points on a coordinate plane. This week develops a deeper understanding of geometric relationships in two-dimensional space.