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.
Analyzing Bar Graphs: Candy Machines
Working in groups, students will examine a bag of candy to determine if the machine that bags the candy is working properly. They will organize data on the colors of the candy in a frequency table and a bar graph. They will calculate the fraction of each color in the bag and compare the fractions to a quota set up by the factory to determine if the machine needs maintenance. Students will create a report about their findings, write a question that requires students to interpret data represented in a bar graph, and reflect in their journals.
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.
Laws of Exponents
Students will discover the laws of exponents using problem-solving skills.
Texas Essential Knowledge and Skills (TEKS) Vertical Alignment
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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.
Solving Rational Equations
Students will discuss and formulate an equation to solve an engaging real-world problem. They will use manipulatives to describe how to find the common denominator they need to solve the equation. They will break up into groups and solve for a more complicated problem.
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.
Comparing and Representing Teen Numbers
The students will choose a cup with manipulatives and build that number using a tool of choice. The students will compare their number with a shoulder partner using math language or comparative language and will write in their math journal using a sentence stem and drawing their justification.
Measurement Properties for 2-D and 3-D Shapes
Students will be able to use a problem-solving model, tools and techniques, communication, representations, relationships, and justifications when solving problems involving two-dimensional and three-dimensional shapes. Students will integrate content knowledge and skills so that students are prepared to use mathematics in everyday life, society, and the workplace.
Going Beyond with Number Bonds
Students will use number bonds to compose and decompose numbers to 10.
Student working on ten frame
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
Camping with Fractions
Students will create equivalent fractions using measuring cups to make a trail mix and use the fractions to find the total amount of different ingredients.
Teacher during Introduction
Splashing into Addition and Subtraction Problem Situations
In learning stations, students will work independently and collaboratively to solve real-world mathematical problems.
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
Explain Your Thinking!
Students will use numberless and numbered logic problems as well as a rubric to practice self-reflection and justify their thinking.
Balancing Act
Given a prompt, students will solve a multi-step equation using concrete and/or pictorial models.
Teacher Posing the Task
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.
Solving Multi-Step Word Problems with Rational Numbers
Students will apply strategies and the use of an analysis tool to break down steps in a word problem to understand the vocabulary and processes necessary to apply correct math operations and analyze solution feasibility.
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
Fraction Division is Sweet
In learning stations, students use concrete objects, pictorial models, and digital models to represent and divide whole numbers by unit fractions and unit fractions by whole numbers.