Course 1 Online!
Henrico County Public Schools, Virginia
Number and Number Sense

Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
*Items measuring these SOL will be completed without the use of a calculator.
Number and Number Sense
Focus: Relationships among Fractions, Decimals, and Percents


The student will
c)   demonstrate equivalent relationships among fractions, decimals, and percents; and
d)   compare and order fractions, decimals, and percents. 
Essential Knowledge and Skills
  • Compare two decimals through thousandths using manipulatives, pictorial representations, number lines, and symbols (<, <, >, >, =).
  • Compare two fractions with denominators of 12 or less using manipulatives, pictorial representations, number lines, and symbols (<, <, >, >, =).
  • Compare two percents using pictorial representations and symbols (<, <, >, >, =).
  • Order no more than 3 fractions, decimals, and percents (decimals through thousandths, fractions with denominators of 12 or less), in ascending or descending order.
Essential Understandings
  • What is the relationship among fractions, decimals and percents? Fractions, decimals, and percents are three different ways to express the same number.  A ratio can be written using fraction form (2/3), a colon (2:3), or the word to (2 to 3).  Any number that can be written as a fraction can be expressed as a terminating or repeating decimal or a percent. 
Vertical Articulation
  1. SOL 4.2ab - a) compare and order fractions/mixed numbers; b) represent equivalent fractions;
  2. SOL 5.2ab - a) recognize/name fractions in their equivalent decimal form and vice versa; b) compare/order fractions and decimals
  3. SOL 7.1bc - b) determine scientific notation for numbers greater than zero; c) compare and order fractions, decimals, percents, and scientific notation
  4. SOL 7.1e - Identify and describe absolute value for rational numbers
  5. SOL 8.1b - compare and order fractions, decimals, percents, and scientific notation
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Rational Speed Matching - Number and Number Sense (PDF) - Investigating rational numbers in percent, decimal, and fractional forms (Word)
  2. Notes: Comparing Decimals and Fractions - A Fair Compare (flipchart) - notes and practice comparing fractions and decimals (not mixed together)
  3. Notes: Comparing and Ordering Fractions (flipchart) - interactive practice comparing and ordering fractions
  4. Notes: Fractions, Decimals, and Percents (ppt)
  5. Notes: Fractions, Decimals, and Percents (doc) - teacher notes
  6. Inquiry Lesson: Problem Solving to Find the Relationship Between Decimal, Fractions, and Percents (pdf) - Students will discover the relationship between decimals, fractions, and percents.
  7. Activity: Last Chance Workout (flipchart) | Answer Key (flipchart) - 3 interactive slides comparing and ordering fractions, decimals and percents
  8. Activity: Decimal Representations - In Between Game (pdf) - students will model decimals on grid paper and compare decimals in the context of a game.
  9. Game: Fraction Track (pdf)
  10. Graphic Organizer: Fraction, Decimal, Percent Fill In Triangle (doc) - fill in notes for converting fractions, decimals and percents
  11. VDOE Algebra Readiness Curriculum Companion: Comparing and Ordering (pdf)
  12. VDOE Algebra Readiness Curriculum Companion: Working with Percents (pdf)
Real World Lessons
  1. Mathalicious: Black Mamba vs. The King - How should we determine which basketball player has the biggest impact on scoring?
Practice
  1. Worksheet: Converting Between Percents, Decimals, and Fractions (pdf) - 36 questions practicing converting between fractions, decimals and percents
  2. Worksheet: Magic Squares: Fraction, Decimal, Percent (doc) - 25 matching problems converting between fractions, decimals and percents.
SOL Mini Quiz
  1. SOL 6.2cd Mini Quiz: Compare and Order Fractions, Decimals, and Percents (pdf)
Skills
  1. Representing Fractions - Sharing Pizza (doc)
Videos
  1. Fraction, Decimal, Percent Foldable Notes (mp4)
  2. Eduplace: Compare Fractions, Decimals, Percents
  3. Prentice Hall: Ordering Decimals
Explore Learning
  1. Improper Fractions and Mixed Numbers: Represent a quantity given by a shaded region as an improper fraction and as a mixed number. Experiment with different shaded regions sliced differently.
  2. Percents and Proportions: Find a part from the percent and whole, a percent from the part and whole, or a whole from the part and percent using a graphic model.
  3. Percents, Fractions and Decimals: Compare a quantity represented by an area with its percent, fraction, and decimal forms.
  4. Comparing and Ordering Decimals: Use grids to model decimal numbers and compare them graphically. Then compare the numbers on a number line.
  5. Comparing and Ordering Fractions: Use area models to compare and order fractions. Also see a visual representation of the least common denominator of two fractions. With the visual representation of the LCD, this Gizmo can be an introduction to adding and subtracting fractions with unlike denominators.
  6. Comparing and Ordering Rational Numbers: Compare and order two rational numbers using an area model.
  7. Fraction Garden (Comparing Fractions): Plant flowers in two gardens to help develop fraction sense. The two gardens act as number lines, from 0 to 1. Use the flowers in the gardens to compare fractions and to explore equivalent fractions. Chalk marks can be drawn to divide the garden into equal sections.
  8. Modeling Decimals (Area and Grid Models): Model and compare decimals using area models. Set the number of sections in each model to 1, 10, or 100, and then click in the models to shade sections. Compare decimals visually and on a number line.
  9. Ordering Percents, Fractions and Decimals: Compare and order numbers represented as percents, fractions, and decimals using area grids and a number line.
  10. Ordering Percents, Fractions and Decimals Greater Than 1: Compare and order numbers greater than 1 using area grids and a number line. Examine the numbers represented as percents, improper fractions, and decimals.
  11. Treasure Hunter (Decimals on the Number Line): Drive a desert highway searching for buried treasure. Learn to use the car's tens, ones, tenths, and hundredths gears, along with a GPS system (number line), to find the right place to dig. Plot your find on a zoomable number line map. Can you become a master Treasure Hunter?
Websites
  1. Sheppard: Fruit Shoot - Convert Fractions to Decimals
  2. Mr. Nussbaum: Death to Decimals
  3. Shodor: Fraction Four Game
  4. Math-Play: Fractions, Decimals, Percents Jeopardy
  5. Quia: Fractions, Decimals, Percents Jeopardy
  6. BrainGenie: FDP order
  7. BrainGenie: Compare two numbers 
  8. BrainGenie: Compare numbers 
  9. First Nine Weeks Review Activity: Jeopardy Game
VDOE Interventions
  1. VDOE Algebra Readiness Curriculum Companion: Comparing and Ordering - The lessons focus on comparing and ordering fractions, decimals, percents and numbers written in scientific notation. (pdf)
Common Core Standards
6.RP.3c
6.NS.6c
7.NS.2d