Course 2 Online!
Henrico County Public Schools, Virginia
7.1bc - Compare & Order Fractions, Decimals, Percents, and Scientific Notation
Number, 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: Proportional Reasoning


The student will
b)   determine scientific notation for numbers greater than zero;
c)   compare and order fractions, decimals, percents, and numbers written in scientific notation.  
Essential Knowledge and Skills 
  • Write a number greater than 0 in scientific notation.
  • Recognize a number greater than 0 in scientific notation.
  • Compare and determine equivalent relationships between numbers larger than 0 written in scientific notation.
  • Represent a number in fraction, decimal, and percent forms.
  • Compare, order, and determine equivalent relationships among fractions, decimals, and percents. Decimals are limited to the thousandths place, and percents are limited to the tenths place. Ordering is limited to no more than 4 numbers.
  • Order no more than 3 numbers greater than 0 written in scientific notation.
Essential Understandings
  • When should scientific notation be used? Scientific notation should be used whenever the situation calls for use of very large or very small numbers.
  • How are fractions, decimals and percents related? Any rational number can be represented in fraction, decimal and percent form.
Vertical Articulation
  • SOL 5.2ab - a) recognize/name fractions in their equivalent decimal form and vice versa; b) compare/order fracts and decimals
  • SOL 6.2ab - a) frac/dec/% - a) describe as ratios; b) ID from representation;
  • SOL 6.2cd - c) equiv relationships; d) compare/order
  • SOL 8.1b - compare/order fract/dec/%, and scientific notation
  • SOL A.1 - represent verbal quantitative situations algebraically/evaluate expressions for given replacement values of variables
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Scientific Notation - 7.1b (PDF) - Ordering numbers written in scientific notation (Word)
  2. VDOE Enhanced Scope and Sequence Lesson: Ordering Fractions, Decimals, and Percents - 7.1c (PDF) - Ordering fractions, decimals, and percents (Word)
  3. Discovery: Scientific Notation - 7.1b (flipchart)
  4. Guided Notes: Scientific Notation and Standard Form - 7.1b (doc)
  5. Notes: Scientific Notation - 7.1b (flipchart)
  6. Foldable: Scientific Notation - 7.1b (doc)
  7. Notes: Ordering Scientific Notation - 7.1bc (flipchart)
  8. Activity: Scientific Notation Comparison with Pictures (doc)
  9. Activity: Interactive Fraction, Decimal, Percents, Scientific Notation Conversions - 7.1c (flipchart)
  10. Activity: Cards for Ordering War - 7.1c (pdf)
  11. Activity: Ordering Cut and Paste - 7.1c (doc)
  12. VDOE Algebra Readiness Curriculum Companion: Comparing and Ordering (pdf)
  13. VDOE Algebra Readiness Curriculum Companion: Exploring Whole Numbers (pdf)
Real World Lessons
Practice
  1. Google Earth: Scientific Notation Practice - 7.1b (pdf)
  2. Worksheet: Scientific Notation and Standard Form - 7.1b (doc)
  3. Worksheet: Scientific Notation - Standard Form Conversions - 7.1b (doc)
  4. Worksheet: Ordering - 7.1c (pdf)
SOL Mini Quiz
  1. SOL 7.1bc Mini Quiz: Fractions, Decimals, Percents, and Scientific Notation (pdf) | (doc)
Skills
  1. Mathematics Assessment Project:
    • A02:100 People - Apprentice - In this task, you are asked to estimate the real numbers, given that there are approximately seven billion people in the world.
    • A03:A Million Dollars - Apprentice - In this task, you will figure out questions such as: How much does a million Dollars in Dollar bills weigh? How many burgers can you buy for a million Dollars?
  2. Ordering Numbers (doc)
Videos
  1. EduPlace: Compare Fractions, Decimals, and Percents
  2. YouTube: Number Sense - Compare and Order Fractions, Decimals and Percents
Explore Learning
  1. Comparing and Ordering Decimals: Use grids to model decimal numbers and compare them graphically. Then compare the numbers on a number line.
  2. 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.
  3. Comparing and Ordering Rational Numbers: Compare and order two rational numbers using an area model.
  4. 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.
  5. Ordering Percents, Fractions and Decimals: Compare and order numbers represented as percents, fractions, and decimals using area grids and a number line.
  6. 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.
  7. 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.
Websites
  1. Practice: Scientific Notation
  2. Shodor: Fraction Four Game
  3. Shodor: Fractions, Decimals, and Percent Connect Four
  4. Study Stack: Fraction, Decimal, and Percent review activities
  5. Math Goodies: Notes and a few practice problems on fractions, decimals, and percents
  6. Math Playground: Comparing Fractions, Decimals, and Percents
  7. ScienceGeek: Scientific Notation
  8. King Kong Scientific Notation Game
VDOE Interventions
  1. VDOE Algebra Readiness Curriculum Companion: Exploring Whole Numbers - (SOL 7.1bd) The lessons focus on solving problems that use whole number operations, prime and composite numbers, odd and even numbers, perfect squares and square roots. (pdf)
  2. VDOE Algebra Readiness Curriculum Companion: Comparing and Ordering - (SOL 7.1c) The lessons focus on comparing and ordering fractions, decimals, percents and numbers written in scientific notation. (pdf)
  3. VDOE Algebra Readiness Curriculum Companion: Working With Percents - (SOL 7.1c) The lessons in this section focus on relating percents to decimals and fractions, comparing and ordering, solving multistep practical problems and determining the percent of increase or decrease for a give situation. (pdf)
Common Core Standards
6.NS.7b
6.NS.7d
8.EE.1
8.EE.2
8.EE.3
8.EE.4