Product and Quotient Properties of Exponents
This lesson helps students understand two foundational exponential properties: The Product and Quotient Properties of Exponents. Students will collaborate to formulate a rule for these properties. Ultimately, students should conclude that when the same bases are being multiplied, exponents will be added; and when the same bases are being divided, exponents will be subtracted. As the lesson progresses, students will apply these rules to simplify expressions of various difficulties.
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.
Using Linear Equations to Count Pecans
Students will write linear equations in point-slope form given two points via a verbal description.
Teacher instructing
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.
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.
Click below to learn more about the TEKS related to this unit. The highlighted standards have been chosen for this research lesson.
Laws of Exponents
Students will discover the laws of exponents using problem-solving skills.
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.
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.
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.
Up, Up, and Away
Students will determine an appropriate tabular/graphic/formulaic linear solution given 3 sets of data points.
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 Inequalities Using Multiplication and Division
Students will work collaboratively to model and solve inequalities of real-life situations.
Teacher giving instructions
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.