5_Math_Curriculum At a Glance_09/18

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