Illustrative Math Alignment: Grade 8 Unit 3

This is part of a collection of math quizzes on the topic of Equations with Percents.

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ary">click on this link.

This is part of a collection of math quizzes on the topic of Equations with Percents.

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Quiz Library

ary">click on this link.

This is part of a collection of math quizzes on the topic of Equations with Percents.

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Quiz Library

ary">click on this link.

This is part of a collection of math quizzes on the topic of Linear Equations.

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This is part of a collection of math quizzes on the topic of Linear Equations.

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This is part of a collection of math quizzes on the topic of Linear Equations.

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This is part of a collection of math quizzes on the topic of the Slope Formula.

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This is part of a collection of math quizzes on the topic of the Slope Formula.

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This is part of a collection of math quizzes on the topic of the Slope Formula.

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Honey bees not only produce a tasty treat, they also help pollinate flowering plants that provide much of the food throughout the world. So, when in 2006 bee colonies started dying out, scientists recognized a serious problem. Analyzing statistics from honey bee production allows for a mathematical analysis of the so-called Colony Collapse Disorder. Note: The download for this resources is the Promethean Flipchart.

To access the full video [Algebra Applications: Variables and Equations, Segment 2: Honey Production]:  https://www.media4math.com/library/algebra-applications-variables-and-equations-segment-2-honey-production

Ever since the mathematics of the Babylonians, equations have played a central role in the development of algebra. Written and hosted by internationally acclaimed mathematics educator Dr. Monica Neagoy, this video traces the history and evolution of equations. It explores the two principal equations encountered in an introductory algebra course – linear and quadratic – in an engaging way. The foundations of algebra are explored and fundamental questions about the nature of algebra are answered. In addition, problems involving linear and quadratic equations are solved using the TI-Nspire graphing calculator. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series.

Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

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Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

Find the slope of the line connecting two points in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

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Subtract variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

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Subtract variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

Subtract variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

Subtract variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

Subtract variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

Subtract variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

Subtract variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

Subtract variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

Subtract variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

Subtract variable expressions in this 20-flash card set. The integers are in the range -20 to 20.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

Topic

Linear Functions

Description

The term is "Linear Function," defined as a function of the form y = mx + b, where m is the slope of the line and b is the y-intercept. This term provides the basic definition of linear functions, integral to understanding their behavior and applications.

Topic

Linear Functions

Description

The term is "y-Intercept," defined as the point on the y-axis where a linear function intersects. In slope-intercept form, it is designated as b in y = mx + b. This term complements the x-intercept by focusing on the vertical axis, completing the understanding of graph interactions.

Topic

Linear Functions

Description

The term is "x-Intercept," defined as the point on the x-axis where a linear function intersects, calculated as x = -b/m when y = 0 in the equation y = mx + b. This term provides insight into the graphical representation of linear functions and their interaction with the x-axis.

Topic

Linear Functions

Description

The term is "Rate of Change," defined as the slope, interpreted as the rate at which the dependent variable changes relative to the independent variable. An example is speed as a rate of change of distance over time. This term highlights the application of slope in real-world scenarios, making the concept more tangible and relatable.

Topic

Linear Functions

Description

The term is "Equations of Perpendicular Lines," defined as two linear functions with graphs that are perpendicular. Their slopes are negative reciprocals, represented as y1 = mx + b1 and y2 = -1/m * x + b2. This term explores the relationship between slopes of perpendicular lines, deepening understanding of linear graph orientations.

Topic

Linear Functions

Description

The term is "Equations of Parallel Lines," defined as two linear functions with parallel graphs that have the same slope but different y-intercepts. Represented as y1 = mx + b1 and y2 = mx + b2, where m is the slope. This term explains the geometric relationship of parallel lines, reinforcing the role of slope in linear functions.

Topic

Linear Functions

Description

The term is "Linear Equation in Standard Form," defined as a linear equation with two variables and three constant terms, represented as Ax + By = C where A and B are not equal to zero. This term sets the stage for converting between forms of linear equations, essential for solving and graphing.

Topic

Linear Functions

Description

The term is "Converting from Standard Form to Slope-Intercept Form," defined as rewriting a linear equation in the form y = mx + b using the constants from the standard form Ax + By = C. The conversion formula is y = -A/B * x + C/B. This term is crucial for transitioning between different representations of linear equations, enabling easier analysis and graphing.

Topic

Linear Functions

Description

The term is "Direct Variation," defined as a linear function of the form y = kx, where k is the constant of variation. Graphs of direct variations cross the origin, and the constant of variation is the slope of the graph. This term emphasizes proportional relationships in linear functions, highlighting their simplicity and graphical characteristics.

Topic

Linear Functions

Description

The term is "Line of Best Fit," defined as a linear function that serves as a model for a set of scatterplot data. It helps represent the central trend of data points. This term enhances understanding of linear functions in the context of data analysis and graphical trends.

Topic

Linear Functions

Description

The term is "Slope of a Line," defined as the ratio of the rise over the run, or the change in vertical distance over the change in horizontal distance. Represented as m in the equation y = mx + b. This term is a fundamental component of linear equations, providing a measure of steepness and direction.

Topic

Linear Functions

Description

The term is "Constant Function," defined as a linear function of the form y = b, where b is the y-intercept. The graph of a constant function is horizontal with a slope of m = 0. An example graph is shown with a horizontal line at y = b. This term demonstrates a special case of linear functions, emphasizing the role of constant values and their graphical representation as horizontal lines.

Topic

Linear Functions

Description

The term is "System of Linear Equations," defined as a collection of linear equations where the number of equations matches the number of variables, allowing for an algebraic solution. Examples include 2-variable and 3-variable systems. This term introduces the concept of interacting linear equations, paving the way for multi-variable problem-solving.

Topic

Linear Functions

Description

The term is "Solution to a Linear Equation," defined as finding the value(s) of a variable that make the equation true. An example includes solving 2x + 5 = 15 step-by-step to find x = 5. This term explains how linear equations are solved, demonstrating the logical process of isolating variables.

Topic

Linear Functions

Description

The term is "Proportional Relationship," defined as a type of linear relationship where two variables maintain a constant ratio. Represented as y = kx, where k is the constant ratio. This term establishes the foundation for understanding direct variation and proportionality in linear relationships.

Topic

Linear Functions

Description

The term is "Scatter Plot," defined as a graph displaying individual data points as dots, where each dot represents the values of two variables. Used to examine relationships and identify patterns or trends. This term provides a graphical tool to visualize and analyze linear relationships in data.

Topic

Linear Functions

Description

The term is "Least Squares Regression Line," defined as the best fit to a set of data points on a scatter plot. It minimizes the sum of the squares of the vertical distances between the data points and the line. This term links linear functions to data analysis, providing a method to model relationships in data.

Topic

Linear Functions

Description

The term is "Linear Regression," defined as a statistical method used to analyze the relationship between two variables by fitting a linear equation to observed data points. An example includes using LinReg to calculate slope (m), intercept (b), and r-squared values. This term links linear functions with statistical applications, particularly in modeling and predictions based on data.