TULSA PUBLIC SCHOOLS
Mathematics Pacing Calendar
Grade 5
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 2: NUMBER SENSE: DEMONSTRATE AN UNDERSTANDING OF THE BASIC CONCEPTS AND PROPERTIES OF REAL NUMBERS
- 2.2b Basic Number Theory Concepts: Identify and apply factors, multiples, prime, and composite numbers in a variety of problem-solving situations (e.g., build rectangular arrays for numbers 1-100 and classify as prime or composite).
Standard 5: DATA ANALYSIS AND PROBABILITY: USE DATA ANALYSIS, STATISTICS AND PROBABILITY TO INTERPRET DATA IN A VARIETY OF CONTEXTS
- 5.1a Data Analysis: Analyze data to create and interpret tables and graphs.
- 5.1c Data Analysis: Compare and translate between displays of data (e.g., multiple sets of data on the same graph, Venn diagrams, a combination of diagrams, charts, tables, graphs).
Unit 2
Standard 1: PATTERNS AND ALGEBRAIC REASONING: USE ALGEBRAIC METHODS TO DESCRIBE PATTERNS AND SOLVE PROBLEMS IN A VARIETY OF CONTEXTS
- 1.1 Describe rules that produce patterns found in tables, graphs, and models, and use variables (e.g., boxes, letters, pawns, number cubes, or other symbols) to solve problems or to describe general rules in algebraic expression or equation form.
Standard 2: NUMBER SENSE: DEMONSTRATE AN UNDERSTANDING OF THE BASIC CONCEPTS AND PROPERTIES OF REAL NUMBERS
- 2.2a Basic Number Theory Concepts: Apply the basic properties of arithmetic: commutative, associative, distributive, and identity (e.g., show 2 (5 + 1) = (2 × 5) + (2 × 1), given (5 + 1) + (5 + 1) regroup to show this equals (5 + 5) + (1 + 1) concluding with (2 × 5) + (2 × 1)) to solve problems.
Standard 4: GEOMETRY AND MEASUREMENT: APPLY GEOMETRIC PROPERTIES AND RELATIONSHIPS AND USE MEASUREMENTS WITHIN THE METRIC AND CUSTOMARY SYSTEMS TO SOLVE PROBLEMS IN A VARIETY OF CONTEXTS
- 4.2 Find the perimeter of simple polygons and area of a rectangle (e.g., use 1-inch tiles to build rectangles of different perimeters and areas).
- *4.4 Use the appropriate units and tools to estimate and measure temperature, distance, length, weight, and angles.
2nd Quarter
Unit 3
Standard 1: PATTERNS AND ALGEBRAIC REASONING: USE ALGEBRAIC METHODS TO DESCRIBE PATTERNS AND SOLVE PROBLEMS IN A VARIETY OF CONTEXTS
- 1.2 Use algebraic problem-solving techniques (e.g., use a balance to model an equation and show how subtracting a number from one side requires subtracting the same amount from the other side) to solve problems.
Standard 5: DATA ANALYSIS AND PROBABILITY: USE DATA ANALYSIS, STATISTICS AND PROBABILITY TO INTERPRET DATA IN A VARIETY OF CONTEXTS
- 5.1b Data Analysis: Justify the selection of the type of table or graph (e.g., a line graph may be more appropriate than a bar graph when displaying the height of a person over time).
- *5.1d Data Analysis: Formulate questions, design investigations, consider samples, and collect, organize, and analyze data using observation, measurement, surveys, or experiments (e.g., how far can 5th graders throw a softball based on where it first hits the ground?).
- 5.1e Data Analysis: Determine the range (spread) and the mean (average) of a set of data.
- 5.2b Probability: List permutations and combinations of up to five items.
Unit 4
Standard 2: NUMBER SENSE: DEMONSTRATE AN UNDERSTANDING OF THE BASIC CONCEPTS AND PROPERTIES OF REAL NUMBERS
- 2.1a Fractions, Decimals and Percents: Solve problems using decimal numbers to the 1000ths place.
Standard 3: NUMBER OPERATIONS AND COMPUTATION: ESTIMATE AND COMPUTE WITH WHOLE NUMBERS, DECIMALS AND FRACTIONS
- 3.2a Whole Numbers, Decimals, and Fractions: Add and subtract decimal numbers with the same and different place values (e.g., 3.72 + 1.4) to solve problems.
Standard 4: RELATIONSHIPS AND USE MEASUREMENTS WITHIN THE METRIC AND CUSTOMARY SYSTEMS TO SOLVE PROBLEMS IN A VARIETY OF CONTEXTS
- 4.1 Identify and describe the basic properties of figures (e.g., two or three-dimensionality, symmetry, number of faces, types of angles).
- *4.3 Use nonstandard units (beans, rice, candies) and standard units (centimeter cubes, 1-inch cubes) to find the volume of rectangular solids and estimate the volume of other solids.
- 4.5 Convert basic measurements of volume, weight and distance within the same system for metric and customary units (e.g., inches to feet, hours to minutes, and centimeters to meters).
3rd Quarter
Unit 5
Standard 2: NUMBER SENSE: DEMONSTRATE AN UNDERSTANDING OF THE BASIC CONCEPTS AND PROPERTIES OF REAL NUMBERS
- 2.1b Fractions, Decimals and Percents: Compare, convert, and order common fractions and decimals to the 100ths place to solve problems.
- 2.1c Fractions, Decimals and Percents: Represent with models the connection between fractions, decimals, and percents and be able to convert from one representation to another (e.g., use 10 x 10 grids, base- 10 blocks; limit fractions to halves, fourths, fifths, and tenths).
- 2.1d Fractions, Decimals and Percents: Explain verbally with manipulatives and diagrams 25%, 50%, 75%; use these percents to solve problems and relate them to their corresponding fractions and decimals.
Standard 3: NUMBER OPERATIONS AND COMPUTATION: ESTIMATE AND COMPUTE WITH WHOLE NUMBERS, DECIMALS AND FRACTIONS
- 3.2c Whole Numbers, Decimals, and Fractions: Add and subtract fractions and mixed numbers to solve problems using a variety of methods (e.g., use fraction strips, find the least common denominator [LCD]).
Unit 6
Standard 3: NUMBER OPERATIONS AND COMPUTATION: ESTIMATE AND COMPUTE WITH WHOLE NUMBERS, DECIMALS AND FRACTIONS
- 3.1a Estimation: Use estimation skills to determine solutions to problems involving decimals.
- 3.1b Estimation: Apply estimation skills to solve problems involving common percents and equivalent fractions.
- 3.2b Whole Numbers, Decimals, and Fractions: Multiply and divide whole numbers and decimal numbers with 1- or 2-digit multipliers or divisors to solve problems.
Standard 5: DATA ANALYSIS AND PROBABILITY: USE DATA ANALYSIS, STATISTICS AND PROBABILITY TO INTERPRET DATA IN A VARIETY OF CONTEXTS
- 5.2a Probability: Determine the probability of events occurring in familiar contexts or experiments and express probabilities as fractions (e.g., find the fractional probability of an event given a biased spinner).
Revised 7/10/06