# Virginia State Standards for Mathematics: Grade 5

5.1. The student, given a decimal through thousandths, will round to the nearest whole number, tenth, or hundredth.

5.1.a) Read, write, and identify the place values of decimals through thousandths;

5.1.b) Round decimal numbers to the nearest tenth or hundredth;

5.1.c) Compare the values of two decimals through thousandths, using the symbols >, <, or =.

5.2. The student will

5.2.a) recognize and name fractions in their equivalent decimal form and vice versa.

5.2.b) compare and order fractions and decimals in a given set from least to greatest and greatest to least.

5.3. The student will

5.4. The student will create and solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division with and without remainders of whole numbers.

5.5. The student will

5.6. The student will solve single-step and multistep practical problems involving addition and subtraction with fractions and mixed numbers and express answers in simplest form.

5.7. The student will evaluate whole number numerical expressions, using the order of operations limited to parentheses, addition, subtraction, multiplication, and division.

5.8. The student will

5.9. The student will identify and describe the diameter, radius, chord, and circumference of a circle.

5.10. The student will determine an amount of elapsed time in hours and minutes within a 24-hour period.

5.11. The student will measure right, acute, obtuse, and straight angles.

5.11.a) Length-part of an inch (1/2, 1/4, and 1/8), inches, feet, yards, miles, millimeters, centimeters, meters, and kilometers;

5.11.b) Weight/mass-ounces, pounds, tons, grams, and kilograms;

5.11.c) Liquid volume-cups, pints, quarts, gallons, milliliters, and liters;

5.11.d) Area-square units; and

5.11.e) Temperature-Celsius and Fahrenheit units.

5.12. The student will classify

5.13. The student, using plane figures (square, rectangle, triangle, parallelogram, rhombus, and trapezoid), will

5.14. The student will make predictions and determine the probability of an outcome by constructing a sample space.

5.15. The student, given a problem situation, will collect, organize, and interpret data in a variety of forms, using stem-and-leaf plots and line graphs.

5.15.a) Recognize, identify, describe, and analyze their properties in order to develop definitions of these figures;

5.15.b) Identify and explore congruent, noncongruent, and similar figures;

5.15.c) Investigate and describe the results of combining and subdividing shapes;

5.15.d) Identify and describe a line of symmetry;

5.15.e) Recognize the images of figures resulting from geometric transformations such as translation (slide), reflection (flip), or rotation (turn).

5.16. The student will

5.17. The student will describe the relationship found in a number pattern and express the relationship.

5.17.a) Solve problems involving the probability of a single event by using tree diagrams or by constructing a sample space representing all possible results;

5.17.b) Predict the probability of outcomes of simple experiments, representing it with fractions or decimals from 0 to 1, and test the prediction;

5.17.c) Create a problem statement involving probability and based on information from a given problem situation. Students will not be required to solve the created problem statement.

5.18. The student will

5.19. The student will investigate and recognize the distributive property of multiplication over addition.

5.20. The student will analyze the structure of numerical and geometric patterns (how they change or grow) and express the relationship, using words, tables, graphs, or a mathematical sentence. Concrete materials and calculators will be used.

5.21. The student will

5.21.a) Investigate and describe the concept of variable;

5.21.b) Use a variable expression to represent a given verbal quantitative expression involving one operation ; and

5.21.c) Write an open sentence to represent a given mathematical relationship, using a variable.

5.22. The student will create a problem situation based on a given open sentence using a single variable.

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