CLUSTER 1: Strategies and Methods for Positive Rational Number Computation
In this cluster, students will extend on their knowledge of decimal numbers and look into some of the important decimals ideas that underlie learning about adding and subtraction decimals. Students will also deepen their understanding of decimals, and in particular for them to understand how to estimate sums and differences involving decimals, students in this cluster will take a look at how decimals compare. Students will revisit multiplication and division strategies from Grade 4 and continue to utilize strategies and models to assist with their learning. Students need to be able to multiply a three-digit number by a two-digit number. Students in Grade 5 are expected to be able to solve with proficiency division problems that have up to a four-digit dividend and a two-digit divisor. This cluster also includes multiplication and division of decimals. Students must be able to model multiplication and division of decimals using objects and pictorial models.
CLUSTER 2: Fractional Understanding, Evaluating Expressions/Equations
In this cluster, students are expected to add and subtract fractions with different denominators, but the same whole, using objects, pictorial models, and properties of operations. Students will also begin to learn fraction multiplication. Students in Grade 5 will only multiply a fraction with a whole number using objects and pictorial models. This cluster also begins to take a look at division of whole numbers by unit fractions and unit fractions by whole numbers. The students will represent division of a unit fraction by a whole number and the division of a whole number by a unit fraction, using objects and pictorial models, including area models. Later in this cluster, students will describe the meaning of parentheses and brackets in a numeric expression and begin to simplify numerical expressions that do not involve exponents. Students will also represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity.
CLUSTER 3: Geometric Attributes
In this cluster, students will classify two-dimensional figures by attributes and properties. Students will also look at solving problems involving measurement by recognizing a cube with side length of one unit as a unit cube having one cubic unit of volume and the volume of a three-dimensional figure as the number of unit cubes (cubic units) needed to fill it with no gaps or overlaps if possible. This cluster will have students determining the volume of a rectangular prism with whole number side lengths in problems related to the number of layers times the number of unit cubes in the area of the base. Students will also continue to look at representing and solving problems related to perimeter and/or area and related to volume. This cluster also looks at identifying locations on a coordinate plane and describing key attributes of the coordinate plane.
CLUSTER 4: Numerical Patterns, Data, Personal Financial Literacy
In this cluster, students will develop concepts of expressions and equations by generating numerical patterns and looking at the differences between additive and multiplicative patterns. Students will also continue solving problems by collecting, organizing, displaying, and interpreting data. Students will represent categorical data with bar graphs or frequency tables and numerical data, including data sets of measurements in fractions or decimals, with dot plots or stem-and-leaf plots. This cluster also takes a look at solving one- and two-step problems using data from a frequency table, dot plot, bar graph, stem-and-leaf plot, or scatterplot. This cluster ends with a closer look at personal financial literacy. This will be a great review and reinforcement of earlier decimal skills.
CLUSTER 5: After STAAR
In this cluster, students will apply mathematical process standards to develop and use strategies and methods for positive rational number computations in order to solve problems with efficiency and accuracy.