Four Representations of Linear Relationships
Given one representation of a linear relationship, students will create a poster displaying the other three representations of linear relationships.
How Does the Cookie Crumble?
Students will self-discover how to multiply mixed numbers by using background knowledge of estimation, computations, and real world application of a recipe.
Texas Essential Knowledge and Skills Related to the Unit
In fifth grade, students will be able to multiply and divide whole numbers, which will lead into multiplication and division of decimals in sixth grade. That same year, they will model products and quotients of decimals to the hundredths place. This concrete model will lead them to a better understanding of the algorithm in fifth and sixth grade.
As fifth graders, students will model multiplication and division of a fraction and a whole number. The following year, students are expected to multiply and divide all types of fractions.
In addition, during sixth grade, students are introduced to integers (negative whole numbers) and will be able to model and solve all operations with integers. All of the skills previously stated will lead students to be able to perform all operations of rational numbers without models (positive and negative fractions, decimals, and whole numbers) in seventh grade.
Click below to learn more about the TEKS related to this unit. The highlighted standards have been chosen for this 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.
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
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
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
Modeling and Solving Inequalities Using Multiplication and Division
Students will work collaboratively to model and solve inequalities of real-life situations.
Teacher giving instructions
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
Balancing Act
Given a prompt, students will solve a multi-step equation using concrete and/or pictorial models.
Teacher Posing the Task
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.
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.