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
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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.
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.
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.
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
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.
Study Edge Statistics
In Statistics, students build on the mathematics knowledge and skills from Kindergarten–grade 8 and Algebra I, broadening their knowledge of variability and statistical processes. Students will study sampling and experimentation, categorical and quantitative data, probability and random variables, inference, and bivariate data. Students will connect data and statistical processes to real-world situations and extend their knowledge of data analysis (TAC §111.47(b)(3)).
This video book is brought to you by TEA and Study Edge. It may be used to teach an entire Statistics course or to supplement traditional Statistics textbooks.
This open-education-resource instructional material by TEA is licensed under a Creative Commons Attribution 4.0 International Public License in accordance with Chapter 31 of the Texas Education Code.
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Study Edge Precalculus
Precalculus is the preparation for calculus. The course approaches is designed to strengthen and enhance conceptual understanding and mathematical reasoning used when modeling and solving mathematical and real-world problems. Students systematically work with functions and their multiple representations. Precalculus can deepen students' mathematical understanding and fluency with algebra and trigonometry and extends their ability to make connections and apply concepts and procedures at higher levels. Students will investigate and explore mathematical ideas, develop multiple strategies for analyzing complex situations, and use technology to build understanding, make connections between representations, and provide support in solving problems (TAC §111.42(b)(3)).
This video book is brought to you by TEA and Study Edge. It may be used to teach an entire Precalculus course or to supplement traditional Precalculus textbooks.
This open-education-resource instructional material by TEA is licensed under a Creative Commons Attribution 4.0 International Public License in accordance with Chapter 31 of the Texas Education Code.
Please provide feedback on Study Edge's open-education resource instructional materials.
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.