
MA.5.1.1. Estimate, round, and manipulate very large (e.g., millions) and very small (e.g., thousandths) numbers.


MA.5.1.2. Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number.


MA.5.1.3. Understand and compute positive integer powers of nonnegative integers; compute examples as repeated multiplication.


MA.5.1.5. Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers.

MA.5.2.0 Students perform calculations and solve problems involving addition, subtraction, and simple multiplication and division of fractions and decimals: 

MA.5.2.1. Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results.


MA.5.2.3. Solve simple problems, including ones arising in concrete situations, involving the addition and subtraction of fractions and mixed numbers (like and unlike denominators of 20 or less), and express answers in the simplest form.


MA.5.2.4. Understand the concept of multiplication and division of fractions.


MA.5.2.5. Compute and perform simple multiplication and division of fractions and apply these procedures to solving problems.

Algebra and Functions 
MA.5.1.0 Students use variables in simple expressions, compute the value of the expression for specific values of the variable, and plot and interpret the results: 

MA.5.1.1. Use information taken from a graph or equation to answer questions about a problem situation.


MA.5.1.4. Identify and graph ordered pairs in the four quadrants of the coordinate plane.

Statistics, Data Analysis, and Probability 
MA.5.1.0 Students display, analyze, compare, and interpret different data sets, including data sets of different sizes: 

MA.5.1.2. Organize and display singlevariable data in appropriate graphs and representations (e.g., histogram, circle graphs) and explain which types of graphs are appropriate for various data sets.


MA.5.1.3. Use fractions and percentages to compare data sets of different sizes.


MA.5.1.4. Identify ordered pairs of data from a graph and interpret the meaning of the data in terms of the situation depicted by the graph.

Mathematical Reasoning 
MA.5.1.0 Students make decisions about how to approach problems: 

MA.5.1.1. Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.


MA.5.1.2. Determine when and how to break a problem into simpler parts.

MA.5.2.0 Students use strategies, skills, and concepts in finding solutions: 

MA.5.2.1. Use estimation to verify the reasonableness of calculated results.


MA.5.2.2. Apply strategies and results from simpler problems to more complex problems.


MA.5.2.3. Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.


MA.5.2.4. Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support solutions with evidence in both verbal and symbolic work.


MA.5.2.6. Make precise calculations and check the validity of the results from the context of the problem.

MA.5.3.0 Students move beyond a particular problem by generalizing to other situations: 

MA.5.3.1. Evaluate the reasonableness of the solution in the context of the original situation.


MA.5.3.2. Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems.


MA.5.3.3. Develop generalizations of the results obtained and apply them in other circumstances.
