3-Read is a mathematics and language comprehension strategy designed to delay the rush to an answer, deepen student understanding of both the situation and the mathematics, and help students make sense of a problem before setting out to solve it. The strategy consists of reading the stem of a problem (the problem without a question) three times aloud, in close proximity, while establishing a specific purpose for each read: 1) comprehending the text; 2) comprehending the mathematics; and 3) eliciting mathematical questions based on the information provided.Too often, students disengage from math problems, and simply take the numbers and do something with them (add, subtract, multiply or divide). 3-Reads is designed to engage them in making sense of the problem first, and then drawing connections between the situation and the quantities presented. By asking students to come up with mathematical questions on their own, 3-Reads focuses their attention on the context and the mathematical structures, and helps to ensure that students understand both the explicit and the implicit information and quantities presented, setting them up for meaningful productive struggle with a math problem. It delays their need for an immediate answer, and helps students get to the mathematics of a lesson or a unit.
This lesson introduces the students to the concepts of correlation and causation, and the difference between the two. The main learning objective is to encourage students to think critically about various possible explanations for a correlation, and to evaluate their plausibility, rather than passively taking presented information on faith. To give students the right tools for such analysis, the lesson covers most common reasons behind a correlation, and different possible types of causation.
Lesson For Homework Practice Slope Intercept Form
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This is lesson 3 of 3 in the Slope Intercept unit. This lesson introduces similar triangles to explain why slope is the same between any two points on a non-vertical line. In this lesson students perform an activity to determine that slope is constant throughout a line and students will discover the slope for vertical and horizontal lines.
This review lesson relates graphical and algebraic representations of bivariate data by giving students opportunities to create scatter plots, calculate a regression equation using technology, and interpret the slope and y-intercept of the equation in the context of the data.
Who doesn't want to save money? In this lesson, students will learn how a better credit score will save them money. They will use a scatter plot to see the relationship between credit scores and car loan interest rates. They will determine a line of best fit equation and interpret slope and y-intercept to make conclusions about interest and credit scores.
Students will enjoy this project lesson that allows them to choose and collect their own data. They will create a scatter plot and find their line of best fit. Next they write interpretations of their slope and y-intercept. Their final challenge is to calculate residuals and conclude whether or not their data is consistent with their linear model.
This lesson will be using real world examples to help explain the meaning of slope and y-intercept of a linear model in the context of data. Literacy will also be infused during the independent practice portion of the lesson. A PowerPoint is included for guidance throughout the whole lesson and to provide visual representation for students. There are guided notes available as well to provide assistance in note-taking for students.
This lesson allows students to use real-world data to construct and interpret scatter plots using technology. Students will create a scatter plot with a line of best fit and a function. They describe the relationship of bi-variate data. They recognize and interpret the slope and y-intercept of the line of best fit within the context of the data.
Students explore correlation of data through an activity allowing them to order situations from negative correlation to positive correlation. Students make an initial prediction of order given just the written situation and make adjustments to the order as each component is introduced: data table and scatter plot, line of best fit, correlation coefficient. Discussion after each step allows students to explain how they change their predictions as they are given more information. At the end of the lesson, students are provided with a real life example of how correlation coefficient is used to determine strength of relationships among real data.Students will learn how to use the Linear Regression feature of graphing calculators to find the true line of best fit and the correlation coefficient. The lesson includes the guided card sorting task, a formative assessment, and a summative assessment.
This lesson will not only reinforce students understanding of slope and y-intercept, but will also ensure the students understand how it can be modeled in a real world situation. The focus of this lesson is to show student's understanding of slope being a rate of change and the y-intercept the value of y when x is zero. They will be able to read a problem and create a linear equation based upon what they read. They will then make predictions based upon this information.
This lesson is on motion of objects. Students will learn what factors affect the speed of an object through experimentation with gumballs rolling down an incline. The students will collect data through experimenting, create graphs from the data, interpret the slope of the graphs and create equations of lines from data points and the graph. They will understand the relationship of speed and velocity and be able to relate the velocity formula to the slope intercept form of the equation of a line.
After activating prior knowledge and presentation of new skills, students will be collecting and evaluating data to interpret the line of best fit and y-intercept in order to develop an equation in point-slope form to represent the data.
This lesson provides students with opportunities to examine the slope and y-intercept of a line of best fit using scatterplots. Students will gain a deeper conceptual understanding of slope and y-intercept based on real world data. Students will graph scatterplots and draw a line of best fit. Then, students will use the line to interpret the slope and y-intercept with regard to the data. Students will also make predictions using the graph and the equation of the data.
During the lesson, students will be assessed by several formative assessments and a summative assessment at the conclusion. The lesson includes the a worksheet and data collection sheets to be concluded.
The lesson teaches students about an important characteristic of lines: their slope. Slope can be determined either in graphical or algebraic form. Slope can also be described as positive, negative, zero, or undefined. Students get an explanation of when and how these different types of slope occur. Finally, students learn how slope relates to parallel and perpendicular lines. When two lines are parallel, they have the same slope and when they are perpendicular their slopes are negative reciprocals of one another. Prerequisite knowledge: Students must know how to graph points on the Cartesian plane. They must be familiar with the x- and y- axes on the plane in both the positive and negative directions.
Students will construct a scatter plot from given data. They will identify the correlation, sketch an approximate line of fit, and determine an equation for the line of fit. They will explain the meaning of the slope and y-intercept in the context of the data and use the line of fit to interpolate and extrapolate values.
This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.
This session on linear function and slope contains five parts, multiple problems and videos, and interactive activities geared to help students recognize and understand linear relationships, explore slope and dependent and independent variables in graphs of linear relationships, and develop an understanding of rates and how they are related to slopes and equations. Throughout the session, students use spreadsheets to complete the work, and are encouraged to think about the ways technology can aid in teaching and understanding. The solutions for all problems are given, and many allow students to have a hint or tip as they solve. There is even a homework assignment with four problems for students after they have finished all five parts of the session. 2ff7e9595c
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