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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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.
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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
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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.
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.
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
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
Modeling and Solving Inequalities Using Multiplication and Division
Students will work collaboratively to model and solve inequalities of real-life situations.
Teacher giving instructions
Explain Your Thinking!
Students will use numberless and numbered logic problems as well as a rubric to practice self-reflection and justify their thinking.
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.
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.