Longview ISD4th Grade Math Unit 4

4th Grade TEKS with Specificities
4.2Number, operation, and quantitative reasoning. The student describes and compares fractional parts of whole objects or sets of objects. The student is expected to:
4.2Ause concrete objects and pictorial models to generate equivalent fractions
Include:
  • Students generate a pattern of concrete fractions
  • Students explain the relationship between the concrete patterns
  • Students record the abstract fractions after the relationship is understood
  • Solve problems/compare pairs of fractions and recognize equivalent fractions in simplest form.
  • Use non-examples (3/4 does not equal 1/2)Helpful manipulatives:
  • Tiles, pattern blocks, fraction bars, Cuisenaire rods
4.2Bmodel fraction quantities greater than one using concrete objects and pictorial models
Include:
  • Recognize objects greater than one concretely and pictorially
Vocabulary:
  • numerator and denominator, whole numbers, improper fractions (fractions greater than 1 ex. 8/5) , proper fractions, and mixed numbers Helpful manipulatives:
  • tiles, pattern blocks, Cuisenaire rods, fraction strips
4.2Ccompare and order fractions using concrete objects and pictorial models
Include:
  • Fractions equal to, less than, and greater than one whole
  • Compare 2 fractions w/ symbols <, >, =
  • Recognize simplest forms of fractions
Vocabulary:
  • numerator and denominator, simplest form
/ 4.2Drelate decimals to fractions that name tenths and hundredths using concrete objects and pictorial models
Include:
  • Symbols such as 1/10, 0.1
  • Record models and pictures
  • Students should demonstrate 1/10 is the same value as 0.1 and 1/100, 0.01 (explain by using place value)
  • Relate fractions to decimals (ex. 1/2 to 0.5 to 0.50)
Helpful manipulatives:
  • Base Ten Pieces for understanding, place value mats, number lines, fraction bars, color tiles, money
4.3Number, operation, and quantitative reasoning. The student adds and subtracts to solve meaningful problems involving whole numbers and decimals. The student is expected to:
4.3Badd and subtract decimals to the hundredths place using concrete objects and pictorial models
Include:
  • Students must build concrete objects, draw pictorial models, and connect the abstract numbers
  • Apply addition/subtraction concepts
4.10Geometry and spatial reasoning. The student recognizes the connection between numbers and their properties and points on a number line. The student is expected to:
4.10ALocate and name points on a number line using whole numbers, fractions such as halves and fourths, and decimals such as tenths
Include:
  • Number lines do not always begin with "0"
  • Concept of points on a line
  • Pictorial representations
  • Whole numbers, halves, and fourths
  • Decimals of tenths (1/10 = 0.1)
UNIT 4 Fractions and Decimals
Vocabulary Adventure
  • Fraction p. 5
  • Denominator p. 7
  • Numerator p. 9
  • Equivalent fractions p. 11
  • Mixed number p. 13
  • Improper fraction p. 15
  • Decimal number p. 17
  • Number line p. 65
/ Investigations
Mathematical Thinking at Grade 4
  • Investigation 2 “How Many Dollars?” (sessions 1-2 completed in Unit 1) Sessions 3 & 4 may be used to review/practice adding and subtracting decimal values.
Different Shapes, Equal Pieces
Investigation 1 Parts of Squares: Halves, Fourths, and Eighths—Sessions 1-5
Investigation 2 Parts of Rectangles: Thirds, Sixths, and Twelfths—Sessions 1-4
Investigation 3 Ordering Fractions—Sessions 1-5
MathLearningCenter
Teacher Reference Manual
Chapter 8 Fractions (pp. 69-75)
Volume I—Contact
  • Lessons 31-35 Fraction Bars
  • Lesson 58 Money & Fractions
  • Lessons 73-75 Fraction Bar Chart
Volume II—Contact
  • Lessons 114-116 Say It, See It, Show It—Fraction Bars
  • Lessons 148-153 Modeling Fractions with Pattern Blocks
  • Lesson 157 Maps—Fractions
Volume 3
  • Lesson 38 “Little House” Problem
TEXTEAMS
Number Concepts section
  • Complete the Square
  • Build a Whole
  • Name My Fractional Parts
Relations and Functions section
  • Fractions with Playing Cards
  • Big Blank Number Line (includes number cards)
Measuring Up
Chapter 3 Decimals Lessons 14-16
Chapter 6 Fractions Lessons 31-35
Math Essentials
  • Fractions and decimals pp. 9-24
  • Number lines pp. 93-96
Problem Solving Strategies
“Find/Look for a Pattern”
  • Count On Itpp. 34-39
  • Problem Solver II
Teaching Problem 13, p. 26
Teaching Problem 14, p. 28
  • Measuring Up pp. 107-108
“Draw a Picture” (or diagram)
  • Count On It pp. 18-19
  • Measuring Up pp. 59-60

8/27/07DRAFT 3