# Math

Math is exciting in fifth grade.  We learn tons of new and interesting concepts that require a lot of practice and hard work.  I expect you (students) to show work on every problem.  Parents, please download the file from the widget on the left for examples of what your child’s homework pages should look like each night.  Please let me know if you have any questions.

Mathematics Course of Study Standards for 5th Grade:

1.) Demonstrate number sense by comparing, ordering, rounding, and expanding whole numbers through millions and decimals to thousandths.

• Relating percents to parts out of 100 by using equivalent fractions and decimals

• Determining the value of a digit to thousandths

2.) Solve problems involving basic operations on whole numbers, including addition and subtraction of seven-digit numbers, multiplication with two-digit multipliers, and division with two-digit divisors.

• Estimating products and quotients

• Determining divisibility by 2, 3, 4, 5, 6, 9, and 10

• Demonstrating computational fluency with addition, subtraction, multiplication, and division of whole numbers

3.) Solve word problems that involve decimals, fractions, or money.

• Solving word problems involving elapsed time

4.) Determine the sum and difference of fractions with common and uncommon denominators.

• Changing mixed numbers to improper fractions

• Solving problems involving addition and subtraction of fractions with common and uncommon denominators

• Using least common multiples

• Estimating sums and differences of fractions

5.) Identify numbers less than zero by extending the number line.

6.) Demonstrate the commutative, associative, and identity properties of addition and multiplication of whole numbers.

7.) Write a number sentence for a problem expressed in words.

8.) Identify regular polygons and congruent polygons.

• Identifying angles as right, obtuse, acute, or straight

• Classifying triangles as equilateral, isosceles, or scalene

• Identifying figures that have rotational symmetry

• Predicting the results of a flip (reflection), turn (rotation), or slide (translation)

9.) Identify components of the Cartesian plane, including the x-axis, y-axis, origin, and quadrants.

10.) Identify the center, radius, and diameter of a circle.

11.) Estimate perimeter and area of irregular shapes using unit squares and grid paper.

12.) Calculate the perimeter of rectangles from measured dimensions.

13.) Convert a larger unit of measurement to a smaller unit of measurement within the same system, customary or metric.

Examples: 4 cups = 32 fluid ounces, 2 meters = 200 centimeters, 2 miles = 10,560 feet

14.) Analyze data collected from a survey or experiment to distinguish between what the data show and what might account for the results.

• Evaluating different representations of the same data to determine how well each representation shows important aspects of the data

• Using given measures of central tendency (mean, median, and mode) to analyze data

15.) Use common fractions to represent the probability of events that are neither certain nor impossible.

Example: finding the probability of stopping on a vowel when using a spinner with three vowels and five consonants