Mathematics Competency Assurance Documents

3rd Grade / P3 (8-yr. olds) Mathematics Standards

Number Sense Standards:
 

N/P3.1 Demonstrate number sense to 10,000 through modeling, applying and communicating muliple representations (drawings, concrete materials, & symbols) and using order relations

Whole Number Operations & Computation Standards:

C/P3.1 Demonstrate basic math facts using multiple strategies (addition and subtraction of 2-digit & 3-digit numbers with regrouping; & multiplication to 9)

C/P3.2 Determine appropriate operation (addition, subtraction, or muliplication) in real-life applications

Fractions & Decimals Standards:

FD/P3.1 Demonstrate knowledge of simple fractions

Skills, Concepts, & Relationships

• Recognize, identify, count, & write numbers (& number words) to 10,000
• Compare & order whole numbers (<,>,=) to 10,000
• Understand place value (to 10,000s)
• Introduce multiples
• Introduce factors
• Introduce primes & composites
• Introduce rounding of whole numbers
• Develop applying number sense in real-life situations and interpreting multiple uses of numbers in real world
• Introduce Roman numerals
• Introduce square numbers with arrays
• Develop giving reasonable estimates

Skills, Concepts, & Relationships

• Add and subtract 2-digit & 3-digit numbers with regrouping
• Do column addition
• Find missing addends
• Know multiplication facts to 9
• Understand basic concept of properties of 0 (5x0=0) and 1 (5x1=5) for multiplication
• Develop adding and subtracting money
• Introduce multiplying by 1-digit & 2-digit factors
• Introduce missing factors
• Introduce division facts with concrete material (arrays) relate to fact families in multiplication (4x2=8 so 8¸ 2=4)
• Introduce simple division with and without remainders
• Develop use of number sentences to solve 1 and 2 step story problems
• Develop calculator skills:
• Know 4 basic functions of calculator (+, -, x, ¸ )
• Check answers with a calculator
• Use a calculator in problem solving
• Develop estimating sums, differences, & products of whole numbers
• Develop using a variety of mathematics vocabulary (plus, add, find the sum, minus, subtract, find the difference, times, multiply, find the product, etc.)
• Develop translating concrete and pictorial problem situations into mathematical language and symbols and vice versa (1 and 2 step)

Skills, Concepts, & Relationships

• Recognize, read, write, & use simple fractions (1/2, 1/3, 1/4, 1/6, 1/8, 1/10)
• Introduce comparing & ordering fractions using concrete materials
• Introduce equivalent fractions
• Introduce identifying the numerator & the denominator
• Introduce using concrete and pictorial models to explore decimal concepts (10ths, 100^ths)
• Introduce comparing & ordering decimals (10ths, 100ths)
• Develop using decimals to represent money
• Introduce adding & subtracting decimals (money)
• Introduce exploring decimal place value with a calculator
• Introduce relating fractions and decimals
• Introduce negative numbers in real world situations (temperature)
• Introduce parts of a set versus parts of a whole

Geometry Standards:

G/P3.1 Demonstrate basic knowledge of symmetry & congruence

Measurement Standards:

M/P3.1 Use standard units (metric & customary) of measurement (include estimation)

M/P3.2 Demonstrate knowledge of time

M/P3.3 Demonstrate knowledge of money

Skills, Concepts, & Relationships

• Recognize and draw a line of symmetry
• Recognize and match congruent figures
• Demonstrate the results of combining, subdividing, and changing shapes
• Introduce pentagon, hexagon, & octagon
• Introduce angles (acute, right, obtuse, straight)
• Introduce lines (parallel, perpendicular)
• Introduce line segments, rays, points
• Develop exploring perimeter
• Develop exploring area
• Introduce volume of 3-D objects with physical models and materials
• Develop using Venn diagrams
• Develop constructing 3-D objects from 2-D pictures
• Introduce exploring flips, slide, turns with physical models
• Introduce describing & modeling 2-D views of 3-D figures (faces, edges, vertices, bases)

Skills, Concepts, & Relationships

• Use metric/customary measures to find length (measure to the nearest 1/2 inch or centimeter), weight/mass, & temperature
• Tell time to 1-minute intervals (before & after hour)
• Demonstrate knowledge of elapsed time to hour & ½ hour
• Distinguish between am & pm
• Make change to $1.00
• Review counting money
• Develop comparing & ordering by size, length, mass, & area
• Develop estimating length, weight/mass, temperature, & capacity in standard units
• Develop understanding of basic length relationships within same measurement system (in./ft./yd)
• Develop using metric/customary measures of capacity (cup, pint, quart, gallon)
• Introduce basic concepts of area, perimeter, volume, & circumference with manipulatives
• Introduce rounding measurements
• Develop choosing the appropriate measurement tools
• Develop estimating time
• Develop estimating amounts of money
• Introduce adding & subtracting money
• Introduce scale drawings

Skills, Concepts, & Relationships

• Collect, organize, interpret data
• Construct, read, interpret pictographs, bar graphs, charts, tables, & schedules
• Perform simple surveys
• Determine likely (near always) & unlikely (near never) outcomes
• Develop using graphing software & spreadsheets
• Introduce drawing conclusions and making inferences based on data analysis
• Introduce line & circle graphs
• Introduce line plots
• Introduce comparing graphs
• Introduce concepts of mean, median, mode, range
• Develop conducting simple probability experiments
• Develop using combinations (example: If you have 4 shirts and 3 pairs of pants, how many different outfits can you make?)
• Develop gathering & sorting information into categories using bar graphs & pictographs

• Skills, Concepts, & Relationships

• Identify, describe, and analyze patterns in real-life situations using pictures, symbols, & concrete objects (patterns in nature)
• Recognize, extend, and find rules for number patterns (skip counting to 100, odds, evens, etc.)
• Solve for unknowns & open sentences (simple equations) with basic addition, subtraction, and multiplication facts (5+__= 7)
• Extend patterns in number sequences
• Use input/output tables (function machines) with basic addition, subtraction and multiplication facts
• Introduce analyzing tables, graphs, & functional relationships; and explaining how a change in one quantity result in a change in another
• Develop using strategies for logical thinking, deductive reasoning
• Develop graphing points on a number line
• Introduce reading ordered pairs of numbers and letters on a rectangular grid
• Introduce graphing coordinates on a rectangular grid (plotting points)

Skills, Concepts, & Relationships

• Develop/Model appropriate problem solving strategies:
  • act out
  • use manipulatives
  • draw a picture
  • describe and discuss a problem
  • look for a pattern
  • guess & check
  • make an organized list
  • draw a diagram
  • make and use a table
• Develop communicating strategies and solutions (including math vocabulary and representations)
• Introduce selecting most appropriate strategy
• Introduce generating 1 and 2 step story problems
• Introduce showing/explaining reasonableness of answers