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.
Perfectly Proportional Percents
Students will collaborate to explain verbally how to solve percent proportions and scaling while showing their thinking.
Express Yourself
Students determine which expression is a truth or a lie by generating equivalent expressions.
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.
Perfecting Percents
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.
Finding Clues to Solve Equations and Inequalities
Students will solve one variable two-step equations and inequalities using a variety of materials while working independently and collaboratively in learning stations.
Strike a Pose
The students will solve two-step equations through modeling, expressing algebraically, and writing out the steps to their solutions.
Rational Number Stations
Students will visit two different stations and work as a group to add, subtract, multiply, and divide rational numbers.
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.
Teacher during Introduction
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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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.
Area of Composite Figures
Student groups will work collaboratively using the appropriate formulas to find the area of simple figures and combine the area of each shape to find the area of composite figures in real-world situations.
Texas Essential Knowledge and Skills (TEKS) Vertical Alignment
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Diagramming Dinosaurs
Students will use a verbal representation to explore a constant rate of change in the size of dinosaurs over a period of time and represent their data by graphing.
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
Modeling and Solving Two-Step Equations
Students will use various materials to create models of two-step equations. Then, they will take an equation, create their own model, and solve for the variable from the model.
Texas Essential Knowledge and Skills (TEKS) Related to the Unit
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Equations and Inequalities
Using a graphic organizer, students will write and solve a one-variable, two-step equation using the distributive property. They also will draw a picture and justify their solution.
Texas Essential Knowledge and Skills (TEKS) Vertical Alignment
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Does Paper Have Volume?
Students will be involved in a problem-solving lesson to determine if paper has volume, find the volume of a piece of paper and a ream of paper, and determine how many pieces of paper will fit inside their classroom.
Texas Essential Knowledge and Skills (TEKS) Related to the Unit
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