1.0 Number and Operations

5.1.1 Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

5.1.3 Compute fluently and make reasonable estimates.

2.0 Algebra

5.2.1 Represent and analyze patterns, relations, and functions.

5.2.2 Represent and analyze mathematical situations and structures using algebraic symbols.

5.2.3 Illustrate general properties of operations.

5.2.4 Analyze change in various contexts.

3.0 Geometry

5.3.1 Analyze characteristics and properties of two- and three- dimensional shapes.

5.3.2 Specify locations and describe spatial relationships using coordinate geometry and other representational systems.

5.3.3 Apply transformations and use symmetry to analyze mathematical situations.

5.3.4 Use visualization, spatial reasoning, and geometric modeling to solve problems.

4.0 Measurement

5.4.1 Understand measurable attributes of objects and the units, systems, and processes of measurements.

5.4.2 Apply appropriate techniques, tools, and formulas to determine measurements.

5.0 Data Analysis and Probability

5.5.1 Formulate questions that can be addressed with data and collect and organize and display relevant data to answer questions.

5.5.2 Select and use appropriate statistical methods to analyze data.

5.5.3 Develop and evaluate inferences and predictions that are based on data.

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5.1.1a Read and write numbers from millions to thousandths.

5.1.1b Name the place value of a given digit from millions to thousandths.

5.1.1c Use various models to show relationships among (whole numbers) fractions, decimals, (number lines, base ten blocks, Venn diagrams, hundred boards, etc.)

5.1.1d Communicate using mathematical terms and symbols.

5.1.1e Model proper fractions, improper fractions, and mixed numbers.

5.1.1f  Show the relationship between improper fractions and mixed numbers.

Find factors, greatest common factor and least common factor.

Find multiples, common multiples, and least common multiples of numbers.

Identify prime and composite numbers less than 100.

5.1.1g Recognize and generate equivalent forms of commonly used fractions, decimals, and percents (1/10, 1.4, 1.2, ¾,etc.).

5.1.1h Recognize relationships among commonly used fractions and decimals.