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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.
Planting the Seeds of Perimeter
Students will create planters that meet specific perimeter dimensions. The students will need to determine the number of sides and the perimeter for their planter.
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.
Models of Multiplication
Students will solve one-step multiplication problems using various multiplication strategies such as objects, pictorial models, arrays, equal groups, repeated addition, and number lines.
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.
Determining the Perimeter of a Polygon (Series and Activity 1)
This activity provides an opportunity for students to investigate the perimeter of polygons.
Area of Triangles, Parallelograms, and Trapezoids
These activities provide an opportunity for students to explore the area formulas for triangles, trapezoids, and parallelograms.
Using Logical Reasoning to Prove Conjectures about Circles
Given conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.
Generalizing Geometric Properties of Ratios in Similar Figures
Students will investigate patterns to make conjectures about geometric relationships and apply the definition of similarity, in terms of a dilation, to identify similar figures and their proportional sides and congruent corresponding angles.
Determining Area: Sectors of Circles
Students will use proportional reasoning to develop formulas to determine the area of sectors of circles. Students will then solve problems involving the area of sectors of circles.
Interactive Math Glossary
Making Conjectures About Circles and Segments
Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties and relationships among the resulting segments.