Rate of Change
The students will determine the rate of change from tables and graphs by using the slope formula. The students will discover and interpret the real-world applications of rate of change.
Texas Essential Knowledge and Skills (TEKS) Vertical Alignment
Click below to learn about the TEKS related to the unit and Research Lesson. The highlighted student expectation(s) is the chosen focus for the Research Lesson.
Concert Trip to Red Rocks Amphitheatre in Colorado
Students will evaluate and interpret data from both tabular and graphical forms to create a linear equation in either the form of direct variation (y=kx) or slope-intercept form (y = mx + b). Students will then use their findings to interpret the meaning of both slope and y-intercept using a real-world relationship in word form.
Using Measures of Center and Spread to Summarize Data
Students will be able to use the measures of center and spread of a set of data to make summary statements regarding the applications of the data.
Up, Up, and Away
Students will determine an appropriate tabular/graphic/formulaic linear solution given 3 sets of data points.
Independent and Dependent Variable in Tables and Graphs
Students will use information in a real-world scenario to create a table or graph, translate the meaning of the table or graph, and identify the independent and dependent quantities.
Teacher doing Introduction
No Interest If Paid in Full: How Much Do I Owe?
Students will write a linear equation from a real-world situation, identify the components of the equation, and interpret their meanings in the problem’s context.
Students working on task
Which One Doesn't Belong? Proportional vs Non-Proportional Relationships
Students will make connections as they examine proportional and non-proportional relationships represented in functions including tables, equations, graphs, and verbal descriptions and think critically to determine which one does not belong in a set and why.
Outside observers watching students working
Can We Get There?
Students will calculate the rate of change and y-intercept from a real-world problem represented in a graph, a table, and/or an equation. They will then display and present their findings to the class.
Students working in their group
Balancing Act
Given a prompt, students will solve a multi-step equation using concrete and/or pictorial models.
Teacher Posing the Task
Modeling and Solving Inequalities Using Multiplication and Division
Students will work collaboratively to model and solve inequalities of real-life situations.
Teacher giving instructions
Breakout with Linear Relationships
Through a collaborative breakout station format, students will access prior knowledge to develop a deeper understanding of the relationships of slope through proportional relationships represented by unit rate and linear non-proportional relationships. A variety of representations will be practiced through scenarios, tables, graphs, and equations.
Hopping into Real-World Ratios
Students will listen to a book read aloud called If You Hopped Like a Frog that introduces students to proportions. Students will then create word problems for the different animals and their proportions in the story.
Eric's Journey
Students will collaborate to solve a word problem involving rates of change using their prior knowledge and create a graph and/or table showing their work.
Teacher going over vocabulary