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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.
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.
Students use a pan balance model and manipulatives to identify a total that balances two parts. The use of the pan balance will help to develop the concept of equality. Students will develop the language of equality by reading and identifying the following expressions; balances, is the same as, is equal to, and equal before the symbol for equality is introduced. Students will identify an unknown part in a balance situation. Students will communicate ideas, explain, and justify how they solved problems.
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.
The Shapes Around Us
Students will make connections between real-world objects and the attributes of two-dimensional shapes.
Centers in Subtraction
Students will participate in multiple centers including a guided math center that reinforces subtraction concepts.
Finding Common Denominators
Students will work collaboratively to explore and sketch solutions to real-world addition problems involving fractions with unlike denominators. Students will be given the opportunity to use manipulatives and participate in group discussions to reflect on their learning.
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.
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.
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.
Representing Whole Number Quantities
This activity provides an opportunity for students to represent whole numbers with pictures.
Modeling the Volume of a Rectangular Prism
This activity provides an opportunity for students to model the volume of a rectangular prism and make connections to the formula, V=l ´ w ´ h.
Area of Triangles, Parallelograms, and Trapezoids
These activities provide an opportunity for students to explore the area formulas for triangles, trapezoids, and parallelograms.
Interactive Math Glossary
Determining Slopes from Equations, Graphs, and Tables
Given algebraic, tabular, and graphical representations of linear functions, the student will determine the slope of the relationship from each of the representations.
Applying the Order of Operations
Given a numerical expression including whole number exponents and prime factorization, students will use the order of operations to generate an equivalent expression.
Generating Equivalent Forms of Rational Numbers
Given information about a rational number in one form (fraction, decimal, or percent) in a real-world context such as financial mathematics, students will generate an equivalent rational number in a different form.
Mathematics TEKS: Supporting Information
This resource presents supporting information of the mathematics TEKS for Kindergarten through Grade 12.
K–2 Diagnostic Assessments
This resource provides two types of diagnostic tools available to K–2 math teachers: a rapid assessment tool and a flexible interview assessment.