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By the end of the third grade, students deepen their understanding of place value and skill with addition, subtraction, multiplication and division of whole numbers. They estimate, measure, and describe objects in their environment. They use knowledge of number relationships and patterns to help solve problems.

CONTENT STANDARD 1

1. Number Sense and Operations

Students will:

• Understand the relationships between numbers and quantities

• Understand and describe simple addition and subtraction situations

• Use estimation strategies in computation and problem solving

• Understand the use of numbers up to 100

• Demonstrate the meaning of addition and subtraction and use the inverse relationship of addition and subtraction to solve problems

• Make reasonable estimates when comparing numbers

• Understand the relationship among whole numbers up to 1000

• Calculate and solve problems using addition and subtraction

• Model and solve simple problems involving multiplication and division

• Understand that fractions, sets, and subsets refer to parts of a whole

• Model and solve problems by representing, adding and subtracting amounts of money

• Use estimation strategies in computation and problem solving that involve numbers that use ones, tens, hundreds and thousands places

• Understand the place value of whole numbers

• Calculate and solve problems that involve addition, subtraction, multiplication, and division

• Understand the relationship between whole numbers, simple fractions, and decimals

• Understand the place value of whole numbers and decimals, how these relate to addition of simple fractions and decimals, and use the concepts of negative numbers

• Solve problems involving addition, subtraction, multiplication, and division of whole numbers, including the addition and subtraction of negative numbers, and understand the relationship among numbers

• Compute with very large and very small numbers, negative and positive numbers, decimals and fractions and understand the relationship between fractions, decimals, and percents

Performance Indicators

1.3.1 Identify, read, write, compare and order whole numbers to 10,000.

1.3.2 Describe and analyze place values to thousandths.

1.3.3 Using base ten blocks, show expanded notation to 10,000 and write a number in expanded notation.

1.3.4 Identify the place value for each digit in numbers to 10,000.

1.3.5 Calculate 3 to 4 digit numerals (regrouping).

1.3.6 Calculate 2 to 4 digit numerals (regrouping).

1.3.7 Practice and use multiplication facts.

1.3.8 Multiply 2-digit numerals with a 1-digit numeral (no regrouping).

1.3.9 Recognize regrouping when multiplying 2-digit numerals with a 1- digit numeral.

1.3.10 Practice and use division facts through tens.

1.3.11 Practice the multiplication basic facts using division, divisors through nine.

1.3.12 Arrange fractional numbers with same denominator.

1.3.13 Discuss and write situations in everyday life that requires fractions and decimals.

1.3.14 Distinguish and explain the difference between even and odd numbers.

1.3.15 Compare one to one correspondence by estimating sums.

1.3.16 Compare, using the terms most, least, and equal.

1.3.17 Predict the number of digits in an answer by rounding.

1.3.18 Recognize and interpret time to 5 minute intervals.

1.3.19 Rank money.

CONTENT STANDARD 2

2. Measurement and Geometry

Students will:

• Identify common geometric objects and explore properties such as length, weight, capacity

• Describe, draw and compare the attributes of plane and solid geometric figures and classify them by common attributes and describe their relative location and use their understanding to show relationships and solve problems

• Students explore the concept of time

• Use direct comparison and non-standard units to describe the measurements of objects

• Understand that measurement is accomplished by identifying a unit of measure and comparing it to the item to be measured

• Identify and describe the elements that compose common figures in the plane and common objects in space

• Choose appropriate units and measurement tools to quantify the properties of objects

• Understand perimeter, area, and volume of objects and measure in English and Metric units

Performance Indicators

2.3.1 Measure and interpret in English units (pound, yard, gallon).

2.3.2 Measure in Metric units (gram, meter, liter).

2.3.3 Identify and describe basic shapes with written words: circle, square, triangle and rectangle.

2.3.4 Using manipulatives construct and analyze new shapes.

2.3.5 Compare and contrast knowledge about one shape to predict characteristics of others.

2.3.6 Classify objects by attributes.

CONTENT STANDARD 3

3. Algebra

Students will:

• Sort and classify objects

• Use number sentences to solve problems

• Model, represent, and interpret number relationships to create and solve problems involving addition and subtraction

• Select appropriate symbols, operations and properties to represent, describe, simplify, and solve problems involving number relationships

• Use and interpret variables, mathematical symbols and properties to write and simplify expressions and equations, compute the value or values of a specific variable, and plot and interpret the results

Performance Indicator

3.3.1 Determine and apply commutative property of addition and multiplication.

3.3.2 Determine and apply associative property of addition and multiplication.

3.3.3 Apply inverse relationship of addition and subtraction

CONTENT STANDARD 4

4. Probability and Statistics

Students will:

• Collect information about objects and events in the environment

• Organize, represent, compare, and interpret categorical data on simple graphs and charts and communicate their findings

• Collect, record, organize, display, and interpret numerical data on bar graphs, and other representations

• Display, analyze, compare and interpret different data sets, including data sets that are not the same size

• Demonstrate an understanding of patterns and how they grow, and describe them in general ways

• Conduct simple probability experiments by determining the number of possible outcomes, and make simple predictions

Performance Indicators

4.3.1 Compare and interpret picture graphs, bar graphs and circle graphs.

4.3.2 Model, talk, and write about real-world situations that use change.

4.3.3 Predict a 50/50 chance.

4.3.4 Predict most likely, least likely, equally likely.

CONTENT STANDARD 5

5. Problem Solving and Reasoning

Students will:

• Make decisions about how to set up a problem, justify their reasoning, and make connections between problems

• Use strategies, skills and concepts to make decisions about how to approach problems, find solutions, and make generalizations to other situations

Performance Indicators

5.3.1 Create and solve word problems with addition and/or subtraction of two 3-digit numerals (regrouping).

5.3.2 Create and solve word problems with multiplication (facts through tens).

5.3.3 Create and solve word problems with amounts up to $1,000.00.

5.3.4 Distinguish if information given is (in)sufficient to solve a problem.

5.3.5 Determine an appropriate story problem when given a number sentence.

5.3.6 Estimate probable answers from word problems/story problems up to the nearest thousand.

Revised September 2000

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