TULSA PUBLIC SCHOOLS
Mathematics Pacing Calendar
Grade 4
The pacing calendar reflects the quarter in which each objective is to be
mastered. More complex concepts may need to be introduced in a previous quarter
to ensure mastery.
NOTE: Asterisks (*) have been used to identify standards and objectives that must be assessed by the local school district. All other skills may be assessed by the Oklahoma School Testing Program (OSTP).
1st Quarter
Unit 1
Standard 5: DATA ANALYSIS AND PROBABILITY: DEMONSTRATE AN UNDERSTANDING OF DATA COLLECTION, DISPLAY AND INTERPRETATION
- 5.1a Data Analysis: Examine data displays such as tallies, tables, charts and graphs and use the observations to pose and answer questions (e.g., choose a table in social studies of population data and write problems).
- 5.1b Data Analysis: Collect, organize and record data in tables and graphs (e.g., bar, pictograph, line plots).
- *5.2 Investigate and record probabilities by experimenting with devices that generate random outcomes (e.g., coins, number cubes, spinners).
Unit 2
Standard 2: NUMBER SENSE: USE NUMBERS AND NUMBER RELATIONSHIPS TO ACQUIRE BASIC NUMBER FACTS
- 2.1a Place Value: Apply the concept of place value through 6 digits (e.g., write numbers in expanded form, play a trading game involving place value).
Standard 4: GEOMETRY AND MEASUREMENT: USE GEOMETRIC PROPERTIES AND RELATIONSHIPS TO ANALYZE SHAPES AND USE STANDARD UNITS OF CUSTOMARY AND METRIC MEASUREMENTS TO SOLVE PROBLEMS
- 4.1a Basic Characteristics of Lines and Angles: Identify, draw, and construct models of intersecting, parallel, and perpendicular lines (e.g., use spaghetti, straws, toothpicks).
- 4.1b Basic Characteristics of Lines and Angles: Identify and compare angles equal to, less than, or greater than 90 degrees (e.g., use right angles to determine the approximate size of other angles; make a variety of angles using flexible straws and compare).
- 4.3a Spatial Reasoning: Describe the effects on two- and three-dimensional objects when they slide (translate), flip (reflect), and turn (rotate) (e.g., tessellations).
- 4.3b Spatial Reasoning: Predict and verify the effects of combining, subdividing, and changing two- and three-dimensional figures (e.g., folding paper, tiling, and rearranging pieces of solids).
2nd Quarter
Unit 3
Standard 1: PATTERNS AND ALGEBRAIC REASONING: USE A VARIETY OF PROBLEM-SOLVING APPROACHES TO ANALYZE, EXTEND AND CREATE PATTERNS
- 1.1 Discover, describe, extend, and create a wide variety of patterns using tables, graphs, rules, and models (e.g., use 1-inch tiles to demonstrate that doubling the length of the side of a square more than doubles the area, explore the characteristics of odd and even numbers, extend patterns of geometric shapes).
Standard 2: NUMBER SENSE: USE NUMBERS AND NUMBER RELATIONSHIPS TO ACQUIRE BASIC NUMBER FACTS
- 2.3a Fractions: Use 0, 1/2, and 1 or 0, 0.5, and 1, as benchmarks and place additional fractions and decimals on a number line (e.g., 1/3, 3/4, 0.7, 0.4).
- 2.3b Fractions: Create physical and pictorial models of equivalent and nonequivalent fractional parts to be compared, added or subtracted (e.g., egg cartons, fraction strips, circles, and squares).
Unit 4
Standard 1: PATTERNS AND ALGEBRAIC REASONING: USE A VARIETY OF PROBLEM-SOLVING APPROACHES TO ANALYZE, EXTEND AND CREATE PATTERNS
- 1.2a Elementary Function Concepts: Use a variety of techniques to generalize number patterns (e.g., use function machines and "t-tables" to demonstrate "What is the rule?").
- 1.2b Elementary Function Concepts: Solve simple open sentences involving operations on whole numbers (with a variable, e.g., a + 17 = 23).
Standard 2: NUMBER OPERATIONS AND COMPUTATION: ESTIMATE AND COMPUTE WITH WHOLE NUMBERS
- 2.1b Place Value: Read, write and rename whole numbers through 6 digits and decimal numbers to the hundredths (e.g., money, numerals to words).
Standard 4: GEOMETRY AND MEASUREMENT: USE GEOMETRIC PROPERTIES AND RELATIONSHIPS TO ANALYZE SHAPES AND USE STANDARD UNITS OF CUSTOMARY AND METRIC MEASUREMENTS TO SOLVE PROBLEMS
- 4.4c Measurement: Solve application problems involving money, time and temperature (e.g., elapsed time).
3rd Quarter
Unit 5
Standard 2: NUMBER OPERATIONS AND COMPUTATION: ESTIMATE AND COMPUTE WITH WHOLE NUMBERS
- 2.2 Compare and order whole numbers and decimals to the hundredths place (e.g., pictures of shaded regions of two-dimensional figures, use >, <, = symbols).
Standard 3: NUMBER OPERATIONS AND COMPUTATION: ESTIMATE AND COMPUTE WITH WHOLE NUMBERS
- 3.2a Division Concepts: Demonstrate fluency with basic division facts and fact families (i.e., memorize and apply division facts).
- *3.2b Division Concepts: Develop division algorithms (e.g., use physical materials to show 12 objects arranged in 3 groups, show division as repeated subtraction and as the inverse of multiplication).
- 3.3 Apply a variety of estimation and mental math techniques to simplify computations (e.g., use rounding to estimate 82 - 58 is about 80 - 60 or 20, use 30 x 5 to find the product of 300 x 5).
Standard 4: GEOMETRY AND MEASUREMENT: USE GEOMETRIC PROPERTIES AND RELATIONSHIPS TO ANALYZE SHAPES AND USE STANDARD UNITS OF CUSTOMARY AND METRIC MEASUREMENTS TO SOLVE PROBLEMS
- *4.2 Identify basic characteristics of the rectangular coordinate system and find the distance between horizontal and vertical lines of a rectangular coordinate system (e.g., the x-axis is the horizontal axis).
Unit 6
Standard 3: NUMBER OPERATIONS AND COMPUTATION: ESTIMATE AND COMPUTE WITH WHOLE NUMBERS
- 3.1 Estimate and find the product of 2- and 3-digit numbers to solve application problems.
- 3.2c Division Concepts: Estimate and find the quotient (with and without remainders) with a 1-digit divisor and a 2- or 3-digit dividend to solve application problems.
- *3.4 Develop operation sense by applying the associative property of multiplication (e.g., 6 × (2 × 3) = (6 × 2) × 3).
Standard 4: GEOMETRY AND MEASUREMENT: USE GEOMETRIC PROPERTIES AND RELATIONSHIPS TO ANALYZE SHAPES AND USE STANDARD UNITS OF CUSTOMARY AND METRIC MEASUREMENTS TO SOLVE PROBLEMS
- 4.4a Measurement: Establish benchmarks for customary and metric units and estimate the measures of a variety of objects and compare units (e.g., mass: - 58 is about 80 - 60 or 20, use 30 x 5 to find the product of 300 x 5) The mass of a raisin is about 1 gram, length: The width of a finger is about 1 centimeter).
- 4.4b Measurement: Select appropriate customary and metric units of measure to solve application problems involving length, weight, mass, and volume.
Revised 7/10/06