Fifth Grade Everyday Mathematics®

Numeration

Reading, writing, and comparing negative numbers, fractions, whole numbers through billions, and decimals through thousandths; reading, writing, and interpreting whole-number powers of 10; translating between exponential and standard notation; understanding and identifying prime numbers, composite numbers, and square numbers.

Operations and Computation

Using paper-and-pencil algorithms to add, subtract, multiply, and divide multi-digit whole numbers and decimals; using mental arithmetic both to compute exact answers and to estimate; rounding from billions to hundredths; translating among fractions, decimals, and percents; prime factoring; converting between fractions and mixed numbers; adding and subtracting fractions and mixed numbers with unlike denominators; finding least common multiples and greatest common factors; multiplying and dividing fractions.

Patterns, Functions, and Algebra

Evaluating simple algebraic expressions; finding rules for patterns; finding the nth term in a sequence; solving simple open number sentences and simple rate problems; working with equations by doing the same thing to both sides; understanding simple direct proportion; using variables and equations to represent situations; graphing ordered pairs; translating among verbal, numerical, and graphical representations.

Geometry

Constructing a circle with a given radius or diameter; defining and creating tessellations; measuring and drawing angles, including reflex and straight angles; identifying and defining right, isosceles, and equilateral triangles; plotting points in four quadrants; using translations, reflections, and rotations; solving perimeter, area, and volume problems; understanding the relationship between the volumes of cones/pyramids and cylinders/prisms; finding the surface area of a cube and the area of a circle; identifying angle relationships in triangles and in quadrilaterals.

Measurements and Reference Frames

Measuring and estimating length, area, volume, weight, and capacity; converting and computing with common units of measure; creating scale drawings.

Data and Chance

Comparing probabilities for different events; comparing theoretical and experimental probabilities as fractions, decimals, and percents; drawing justifiable conclusions from data; displaying data in more than one way; formulating a question, carrying out a surveyor experiment, recording data, and communicating results; drawing and interpreting circle graphs and stem-and-leaf plots; understanding measures of central tendency (mean, median, mode).