Geometry 2D
Grades 2-12
Geometry 3D
Grades 7-11
Circles
Grades 6-12
Pythagoras
Grades 7-11
Probability
Grades 5-12
Exponents
Grades 5-12
Fractions/Decimals
Grades 1-11
Factors/Primes
Grades 4-11
Speed/Distance/Time
Grades 6-12
Numbers
Grades 5-10
Statistics
Grades 5-12
Multiply/Divide
Grades 1-9
Percentages
Grades 6-10
Time
Grades 2-8
Scientific Notation
Grades 6-12
Rates/Ratios
Grades 5-10
Metric Units
Grades 6-12
Place Value
Grades 0-6
Addition and Subtraction
Grades 0-4
Numeracy
Grades 0-4
Radicals
Grades 8-12
Data/Graphing
Grades 1-9
Visual Patterning
Grades 1-6
Patterning
Grades 5-12
Slope/Linear Equations
Grades 8-12
Shapes and Angles
Grades 0-7
Algebra
Grades 6-12
Trigonometry
Grades 10-12
Select a unit to see its details
Pinch or scroll to zoom in and out
Drag to move the map around
This math unit progresses through various aspects of understanding and calculating the slope of a line, as well as deriving other line characteristics such as rise and run using the slope formula. Initially, the unit introduces the basic terms "rise" and "run" and the concept of slope by identifying these components on a graph. Students then learn to compute the slope using the rise over run formula expressed as an equation. Progressively, they apply this understanding to determine the rise and the run from known values of slope and one of the other variables. Through practice, the unit strengthens students' ability to manipulate and solve equations involving slope, rise, and run. Later, this evolves into more complex tasks where slope is calculated between specific points or derived from graphical representations, enhancing skills in interpreting and analyzing linear relationships by applying algebraic methods and critical thinking.Skills you will learn include:
This math unit primarily develops an understanding of slopes and their applications in determining parallelism between lines. It starts by teaching students how to graph linear equations from the slope-intercept form and progresses to converting these equations between different formats, reinforcing their understanding of slope as a critical element in linear equations. The central theme evolves around identifying parallel lines through various representations of slope, including fractional, decimal, and zero forms, along with graph interpretations. Students are guided through recognizing parallel slopes directly from graphs, as well as determining them through algebraic equation conversions involving both the slope-intercept form and graphical representations. Additionally, the unit enhances skills in manipulating and understanding equations, fostering an in-depth comprehension of how slopes establish relationships between parallel lines, crucial for graphing and algebraic problem solving in coordinate geometry. The progress from basic graph plotting and slope identification to detailed analysis of slopes in different forms and their corresponding graphical interpretations encapsulates the unit’s comprehensive approach to understanding linear relationships.Skills you will learn include:
This math unit begins by teaching students how to recognize and calculate the slope of linear equations presented in various forms. Starting with converting standard form equations to slope-intercept form and directly finding slopes, the unit progresses to applying these skills by interpreting graphed lines and determining their standard form equations. Increasing complexity is introduced as students learn to calculate negative reciprocal slopes to identify perpendicular lines, initially focusing on understanding the negative inverse property through converting integer and decimal slopes. The unit further delves into graphical interpretations, allowing students to visually analyze lines on graphs to identify perpendicular slopes and convert these observations into different numerical and algebraic representations. The advanced topics cover converting between different forms of slope equations and understanding the relationship between slopes of perpendicular lines within different forms of linear equations, emphasizing practical applications and manipulation of slope and perpendicularity in various contexts.Skills you will learn include:
This math unit begins with foundational practices in understanding and calculating the slope of a line through various methods and progressively moves towards applying these concepts to broader topics in linear equations and graphing. Initially, students explore the concept of slope using fact families and simple rise/run calculations from graphs. Progression occurs when students calculate the slope from specific points on a graph and ultimately advance to deriving slopes directly from rise and run values presented in equations. As the unit progresses, students take on tasks such as extrapolation of points from graphed lines based on linear equations and mathematical analysis to find specific points on a graph from given linear equations. The unit culminates with students identifying and manipulating linear equations based on slopes and intercepts from graphical representations and equations in standard form, enhancing their overall understanding of the relationship between algebraic expressions and their graphical manifestations in coordinate geometry.Skills you will learn include:
This math unit covers a comprehensive range of skills in understanding and utilizing line equations and graphing. Initially, students begin by learning how to determine the slope of a line directly from a graph, setting the foundation for deeper exploration of linear relationships. They progress to calculating the rise (change in y-values) and run (change in x-values) between two points on a Cartesian plane, essential skills for understanding the slope of a line. The unit advances into more complex tasks that involve selecting the correct linear equation based on the slope, y-intercept, and visual information from graphs. Students practice how to analyze linear graphs and match them to their equations, ultimately enhancing their ability to interpret graphical data into algebraic expressions. This includes identifying lines that pass through the origin and understanding the impact of different slopes and y-intercepts. Towards the end of the unit, the focus shifts to applying these skills to solve for intercepts from equations presented in standard form and slope-intercept form. This progression solidifies students' understanding of linear equations, graph interpretation, and algebraic manipulation, ensuring comprehensive knowledge in constructing and analyzing line equations in various forms.Skills you will learn include:
This math unit develops the understanding and skills related to slopes and equations of lines, with a specific focus on parallelism. Initially, students learn to recognize and convert line equations between different forms, starting from understanding simple forms such as slope-zero intercept and slope-intercept forms, to more complex transformations involving standard forms and decimal representations of slope. As the unit progresses, the emphasis shifts to applying these foundational skills to understand parallel lines. Students practice identifying parallel slopes by converting equations between various formats including zero-intercept, slope-y-intercept, fraction form, and graph representation to standard forms. Through these exercises, students enhance their ability to interpret and manipulate different algebraic expressions of linear equations, deepening their grasp of how slopes indicate parallelism and how lines can be graphically and algebraically analyzed and compared for this property.Skills you will learn include:
This math unit begins by developing students' abilities to interpret and identify different types of function graphs based on their corresponding algebraic equations. Initially, students match specific graphs to their equations and recognize the type of function each equation represents. The unit progresses to enhance understanding of function domains and ranges through visual representations, starting from identifying domains and ranges, to determining whether given relations qualify as functions based on their visual mappings. Further along, the unit delves deeper into defining and describing domains and ranges more formally. Students learn to translate number line visuals into verbal descriptions and vice versa, convert verbal descriptions into mathematical inequalities without unions, and then express these inequalities using set builder notation. Finally, the unit teaches students to transform set builder notations into interval notations and accurately represent these intervals on a number line, further solidifying their comprehension of domain and range concepts in the context of functions.Skills you will learn include:
This math unit focuses on understanding and applying the concept of perpendicular slopes within different contexts of linear equations. It begins with basic calculations to find the negative reciprocal of given integer slopes and progresses to handling fractional and decimal slopes to identify perpendicular lines. The unit further develops by having learners convert and determine perpendicular slopes between different forms of linear equations, such as slope-intercept form, zero-intercept form, and standard form. Additionally, learners practice converting these equations for graphical representation, aiding in visual understanding and verification of perpendicular relationships. The depth of the unit increases as students move from initially identifying perpendicular slopes in simpler formats to manipulating complex algebraic forms and graphing them, thus building a comprehensive skill set in analyzing and constructing perpendicular lines within coordinate geometry. Throughout the unit, the primary emphasis remains on mastering the concept that the product of the slopes of perpendicular lines is -1, and applying this understanding in various mathematical scenarios.Skills you will learn include:
This math unit begins with the foundational concept of identifying y-intercepts from linear equations in slope-intercept and standard forms using integer coefficients. As the unit progresses, it introduces the concept of x-intercepts, requiring students to manipulate equations set to zero in either variable while still using integer values. The complexity increases as the unit shifts to equations involving decimal coefficients. This additional challenge tests the students' ability to work with more precise values and enhances their algebraic manipulation skills. Towards the end of the unit, the focus shifts to finding intersection points between different types of lines including horizontal, vertical, and other linear equations demonstrating both integer and decimal solutions. This progression from basic intercept identification to solving for intersections between various lines helps students understand the graphical behavior of linear equations and their points of intersection.Skills you will learn include:
This math unit begins by teaching students how to visually interpret and define functions through relation maps and progresses to detailed explanations of domain and range using various mathematical notations and representations. Starting with basic function definitions, students learn how to find domain and range using number lines and inequalities, gradually moving to translating these into set builder and interval notations without unions. The complexity increases as students learn to navigate between different representations, including verbal descriptions and symbolic expressions. Towards the end of the unit, the scope expands to include unions in domains and ranges, enhancing their ability to handle more complex scenarios by interpreting inequalities, set builder notations, and intervals that involve combining separate mathematical intervals. This progression builds a foundational understanding of functions, crucial for further study in calculus and algebra.Skills you will learn include: