5th Grade Math Curriculum at a Glance

Quarter 1

Numeration

• Read and write whole numbers and decimals
• Place value to hundred billions
• Number lines using integers, fractions, mixed numbers
• Expanded form
• Expanded notation
• Comparison symbols (=, <, >)
• Compare and order whole numbers, decimals, and fractions

Basic Operations

• Add, subtract, multiply and divide whole numbers
• Add, subtract, multiply and divide decimal numbers
• Add, subtract, multiply and divide fractions and mixed numbers
• Mental math strategies
• Regroup in addition, subtraction, and multiplication
• Relationship between multiplication and repeated addition
• Division notations: division box, division sign, division bar
• Division with remainders

Quarter 2

Properties of numbers and operations

• Even and odd integers
• Factors, multiples and divisibility
• Prime and composite numbers

• Greatest Common Factor (GCF) and Least Common Multiple (LCM)
• Divisibility rules
• Exponents of whole numbers
• Square roots
• Order of operations
• Inverse operations
• Convert between improper fractions and mixed numbers
• Simplify fractions

Estimation

• Round whole numbers, decimals, mixed numbers
• Estimate sums, differences, products, and quotients

Algebra

• Formulate equations with unknown variables to solve word problems
• Function tables
• Fractional parts of a whole, group, set or number

Quarter 4

• Equivalent fractions
• Convert between fractions, decimals, and percents
• Reciprocals

Geometry

• Describe basic geometric terms
• Describe properties and relationships of lines
• Identify and describe angles
• Identify, describe, and classify 2 and 3 dimensional figures
• Name and graph ordered pairs
• Identify reflections, translations, and rotations
• Symmetry and congruence

Measurement

• Customary units of length, area, volume, weight, and capacity
• Metric units of length, area, volume, mass, and capacity

Quarter 3

• Fahrenheit and Celsius temperature scales
• Measure time and elapsed time
• Convert metric and customary units of measurement]
• Use appropriate measurement instruments (ruler, protractor, thermometer)
• Solve measurement problems (perimeter, area, volume)

Data Analysis and Probability

• Collect and display data using tables and charts
• Collect and display data using graphs (bar, circle, line, pictographs)
• Collect and display data using line plots, stem-and-leaf plots, Venn diagrams
• Find mean, median, mode, and range
• Describe an event as certain, likely, unlikely, or impossible
• Simple experimental probability experiments