Fifth Grade Math

This list is representative of the materials provided or used in this course. Keep in mind that the actual materials used may vary, depending on the school in which you are enrolled, and whether you are taking the course as Independent Study.

For a complete list of the materials to be used in this course by your enrolled student, please visit MyInfo. All lists are subject to change at any time.

Scope & Sequence : Scope & Sequence documents describe what is covered in a course (the scope) and also the order in which topics are covered (the sequence). These documents list instructional objectives and skills to be mastered. K12 Scope & Sequence documents for each course include:

Course Overview

Fifth grade Math students explore complex mathematical operations and apply concepts to real-world problems. Students will:

  • Continue to develop computational skills using larger numbers up to millions
  • Estimate sums and differences before finding exact solutions
  • Expand understanding of and facility with basic arithmetic operations applied to fractions
  • Explore and connect the concepts of ratio, proportion, and percent to fractions
  • Develop computational skills using decimals
  • Through a proprietary, research-based series of lessons, develop abilities to analyze and solve word problems involving basic arithmetic operations and various number systems (fractions, decimals, ratios, percents)
  • Identify and apply characteristics of polygons and circles
  • Relate English and metric units of measure to length, capacity, weight, and temperature
  • Expand understanding of statistics, probability, and graphical representations of data
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Course Outline

Operations

  • Expanded Form
  • Thousandths
  • Addition Properties/Subtraction Rules
  • Roman Numerals
  • Properties of Multiplication
  • Zeros in the Multiplicand
  • Multiplying Three Digits
  • Zeros in the Multiplier
  • Multiplication with Money
  • Three-Digit Quotients and Larger Quotients
  • Zeros in the Quotient
  • Short Division
  • Estimation: Compatible Numbers
  • Two-Digit Divisors
  • Dividing Larger Numbers
  • Order of Operations

Number Theory and Fractions

  • Exploring Prime and Composite Numbers
  • Factors, Primes, and Composites
  • Greatest Common Factor
  • Fraction Sense: Closer to 0, 1/2, 1
  • Fractions in Lowest Terms
  • Fractions in Higher Terms
  • Multiples: LCM and LCD
  • Mixed Numbers
  • Improper Fractions
  • Comparing and Ordering Fractions

Fractions: Addition and Subtraction

  • Renaming Fraction Sums: Like Denominators
  • Adding Fractions: Unlike Denominators
  • Adding Three Fractions
  • Adding Mixed Numbers
  • Renaming Mixed Number Sums
  • Renaming Differences: Like Denominators
  • Subtracting: Unlike Denominators
  • More Subtraction of Fractions
  • Subtracting Mixed Numbers
  • Subtraction with Renaming
  • More Renaming in Subtraction
  • Estimate to Compute

Fractions: Multiplication and Division

  • Multiplying Fractions
  • Multiplying Fractions by Fractions
  • Multiplying Fractions and Whole Numbers
  • Multiplying Using Cancellation
  • Mixed Numbers to Improper Fractions
  • Multiplying Fractions and Mixed Numbers
  • Multiplying Mixed Numbers
  • Division of Fractions
  • Reciprocals
  • Dividing Whole Numbers by Fractions
  • Dividing Fractions by Fractions
  • Dividing Fractions by Whole Numbers
  • Dividing Mixed Numbers by Fractions
  • Dividing Mixed Numbers
  • Estimating with Mixed Numbers

Probability and Statistics

  • Probability
  • Tree Diagrams
  • Independent and Dependent Events
  • Finding Averages
  • Collecting and Organizing Data
  • Working with Data
  • Line Plots
  • Working with Graphs
  • Making Line Graphs
  • Interpreting Circle Graphs

Decimals: Addition and Subtraction

  • Decimal Sense
  • Decimals and Place Value
  • Adding Decimals
  • Estimate Decimal Sums
  • More Adding Decimals
  • Subtracting Decimals
  • Estimate Decimal Differences
  • More Subtracting Decimals

Decimals: Multiplication and Division

  • Multiplying by 10, 100, and 1,000
  • Estimating Decimal Products
  • Multiplying Decimals by Whole Numbers
  • Multiplying Decimals by Decimals
  • Zeros in the Product
  • Dividing by 10, 100, and 1,000
  • Dividing Decimals by Whole Numbers
  • Zeros in Division
  • Estimating Decimal Quotients
  • Estimating Money

Ratio, Proportion, and Percent

  • Ratios as Fractions
  • Proportions
  • Scale and Maps
  • Relating Fractions to Percents
  • Relating Percents to Decimals
  • Finding the Percent of a Number
  • Using Percent

Geometry

  • Measuring and Drawing Angles
  • Identifying Angles
  • Polygons
  • Congruent Figures
  • Triangles
  • Quadrilaterals
  • Perimeter of a Polygon
  • Perimeter of a Rectangle
  • Circles
  • Estimating Circumference
  • Lines of Symmetry
  • Transformations

Measurement Topics

  • Relating Customary Units of Length
  • Relating Customary Units of Capacity
  • Relating Customary Units of Weight
  • Temperature
  • Units of Time
  • Time Zones
  • Computing Customary Units

Metric Measurement, Area, and Volume

  • Metric Measurement
  • Renaming Metric Units
  • Relating Metric Units of Length
  • Relating Metric Units of Capacity
  • Relating Metric Units of Mass
  • Square Measure
  • Areas of Rectangles and Squares
  • Areas of Parallelograms and Triangles
  • Space Figures
  • Cubic Measure
  • Volume
  • Estimating Volume
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Numbers of Lessons and Scheduling

60 minutes

You might choose to split the lessons into smaller segments and take breaks as needed. K12’s online lesson tracking system allows you to pick up wherever you left off in any given lesson.

Total Lessons: 180

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K12 Scope & Sequence documents for each course include:

  • Course Overview (as seen above)
  • Course Outline
  • Lesson Time and Scheduling