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Solving Equations and Inequalities
Students will be divided into four groups and work on their assigned task to become an expert. They will match vocabulary terms with definitions and examples, use the “Pass the Pen” strategy to create and solve equations or inequalities, or write a real-world problem for an equation given. The experts will then teach these concepts to their peers.
To learn the pattern of the side lengths of a 45-45-90 triangle, students complete a gallery walk, a card sort activity starting with using the Pythagorean theorem, and activity to locate if there is an error in a presented problem and if so to identify what the error is.
Working with Literal Equations
The lesson will provide a conceptual basis for illustrating the parallelism between solving multi-step equations and translating literal equations into solutions for specified variables.
Perfectly Proportional Percents
Students will collaborate to explain verbally how to solve percent proportions and scaling while showing their thinking.
Keep Your Balance!
Students are introduced to solving one-variable, one-step equations using addition and subtraction through models and hands-on activities. The students will learn the substitution method of checking answers.
Students will engage in an activity that allows them to explore the different parts of percents: part, whole, and percent, and develop conceptual understanding of percents through the Concrete, Representational, Abstract (CRA) method of instruction.
Roll With It
Students will experience a hands-on lesson regarding ratios. While doing this, students will deepen their understanding of the concepts of ratios.
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.
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.
TXRCFP: Texas Response to Curriculum Focal Points for K-8 Mathematics Revised 2013
The Texas Response to Curriculum Focal Points Revised 2013 was created from the 2012 revision of the TEKS as a guide for implementation of effective mathematics instruction by identifying critical areas of content at each grade level.
Vertical Alignment Charts for Revised Mathematics TEKS
This resource provides vertical alignment charts for the revised mathematics TEKS.
Area of Triangles, Parallelograms, and Trapezoids
These activities provide an opportunity for students to explore the area formulas for triangles, trapezoids, and parallelograms.
Kid2Kid: Determining the Meaning of Slope and Intercepts
Kid2Kid videos on determining the meaning of slope and intercepts in English and Spanish
Interactive Math Glossary
Writing Verbal Descriptions of Functional Relationships
Given a problem situation containing a functional relationship, the student will verbally describe the functional relationship that exists.
Writing Inequalities to Describe Relationships (Graph → Symbolic)
Given the graph of an inequality, students will write the symbolic representation of the inequality.
Writing Inequalities to Describe Relationships (Symbolic → Graph)
Describe functional relationships for given problem situations, and write equations or inequalities to answer questions arising from the situations.
Connecting Multiple Representations of Functions
The student will consider multiple representations of linear functions, including tables, mapping diagrams, graphs, and verbal descriptions.
Writing the Symbolic Representation of a Function (Graph → Symbolic)
Given the graph of a linear or quadratic function, the student will write the symbolic representation of the function.