Longview ISD5th Grade Math Unit 1-1-3

5thGrade TEKS with Specificities:
5.1Number, operation, and quantitative reasoning. The student uses place value to represent whole numbers and decimals. The student is expected to:
5.1Ause place value to read, write, compare, and order whole numbers through 999,999,999,999
Include:
  • Convert from standard to written (digits to words)
  • Convert from written to standard (words to digits)
  • Include expanded notation--ex. (3x100) + (5x10) + (7x1) also, 300 + 50 + 7
  • Convert from expanded to standard
  • Convert from standard to expanded
  • Use place and value (such as 31,465 – the four is in the hundreds place and the value is 400)
  • Include using symbols and words for “greater than” (>), “less than” (<), and equal to (=)
  • Compare and order groups of numbers
  • Sequence numbers/words (such as populations and names of cities) from least to greatest
  • Sequence within a given range, such as "is 300 between 0 and 500?"
  • Include non-examples - "which of these does NOT make the sentence true? -- What could you do to make this true? --Why is this not true?
Helpful manipulatives:
Base ten pieces, straws, paper clips, place value charts
5.3Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, and divides to solve meaningful problems.
5.3Didentify common factors of a set of whole numbers
Include:
  • Apply multiplication concepts
Vocabulary:
  • factors, products, common, and arrays
Helpful manipulatives:
  • Cuisenaire rods, tiles, linear pieces (linear dimensions and area arrays are a must in developing this concept)
/ 5.5Patterns, relationships, and algebraic thinking. The student makes generalizations based on observed patterns and relationships. The student is expected to:
5.5Adescribe the relationship between sets of data in graphic organizers such as lists, tables, charts, and diagrams
Include:
  • Journal writing explaining in words the relationship
  • Pictorial models illustrating the relationship
  • A variety of tables, charts, lists
  • Picture, Bar, Line graphs
  • Diagrams
  • Using both horizontal and vertical tables
5.5Bidentify prime and composite numbers using concrete objects, pictorial models, and patterns in factor pairs
Include:
  • Area arrays
  • Pictorial drawings on grid paper
  • Real-life application
  • Word problems
  • Working with and making connections among the different representations (concrete/pictorial/abstract)
Vocabulary:
  • prime, composite, factor pairs
Helpful manipulatives:
  • Base 10 pieces, tiles, linear pieces, grid paper
5.13Probability and statistics. The student solves problems by collecting, organizing, displaying, and interpreting sets of data. The student is expected to:
5.13Ause tables of related number pairs to make line graphs
Include:
  • Coordinate grids
  • Write and read ordered pairs (2, 5).
  • Label points on grid
5.13Cgraph a given set of data using an appropriate graphical representation such as a picture or line graph
Include:
  • Include pictographs, bar graphs, line graphs
  • Graphs read vertically and horizontally
  • Children may need to complete a portion of graph
  • Interpret graph by combining information on graph
  • Students must construct graphs by :
  • Collect data
  • Organize data
  • Record data
  • Display data
/ Unit 1 Number Concepts and Problem Solving
Weeks 1-3 Place Value and Problem Solving (Decimal values may be introduced during Unit 1 or Unit 3 depending on individual classrooms.)
Vocabulary Adventure
  • Round p. 25
  • Whole number p. 33
  • Digit p. 37
  • Place value p. 39
  • Expanded form p. 41
  • Greater/less than p. 43
  • Infinite p. 81
Investigations
Building on Numbers You Know
Investigation 1
Sessions 6 and 7, “The Digits Game”
TEXTeam
  • Race for a Flat
  • Race to Zero
  • Big Blank Number Line
  • Exchanging and Regrouping with Base 10 Blocks
  • Comparing and Ordering Whole Numbers
  • Telling Phone Numbers (calculator activity)
MathLearningCenter
  • Lesson 25 Whole Number and Decimal Numeration
Math Essentials
  • Pages 7-10 (whole numbers)
  • Pages 13-16 (decimals)
Measuring Up
  • Chapter 1, Lessons 1 and 2 (whole numbers)
  • Chapter 1, Lessons 3-5 (include decimals)
Fifth Sense
listed by Student Expectations within TAKS Objective sections
Problem Solving Strategy
“Find a Pattern”
  • Count On Itp. 18
  • TEXTeams,
    What Comes Next? Fancy Flights of Four
  • Problem Solver I
    Problems 9 and 10

F

8/27/2007DRAFT 3