3.1: Number & Operation

3.1.1: Compare and represent whole numbers up to 10,000, with an emphasis on place value.

3.1.1.1: Read, write and represent whole numbers up to 10,000. Representations may include numerals, expressions with operations, words, pictures, number lines, and manipulatives such as bundles of sticks and base 10 blocks.

Modeling Whole Numbers and Decimals (Base-10 Blocks)
Number Line Frog Hop (Addition and Subtraction)

3.1.1.4: Round numbers to the nearest 1000, 100 and 10. Round up and round down to estimate sums and differences.

Rounding Whole Numbers (Number Line)

3.1.1.5: Compare and order whole numbers up to 10,000.

Modeling Whole Numbers and Decimals (Base-10 Blocks)

3.1.2: Add and subtract multi-digit whole numbers; represent multiplication and division in various ways; solve real-world and mathematical problems using arithmetic.

3.1.2.1: Add and subtract multi-digit numbers, using efficient and generalizable procedures based on knowledge of place value, including standard algorithms.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Fractions Greater than One (Fraction Tiles)
Number Line Frog Hop (Addition and Subtraction)
Rounding Whole Numbers (Number Line)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)

3.1.2.3: Represent multiplication facts by using a variety of approaches, such as repeated addition, equal-sized groups, arrays, area models, equal jumps on a number line and skip counting. Represent division facts by using a variety of approaches, such as repeated subtraction, equal sharing and forming equal groups. Recognize the relationship between multiplication and division.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Function Machines 3 (Functions and Problem Solving)
No Alien Left Behind (Division with Remainders)

3.1.2.4: Solve real-world and mathematical problems involving multiplication and division, including both "how many in each group" and "how many groups" division problems.

Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)

3.1.2.5: Use strategies and algorithms based on knowledge of place value and properties of addition and multiplication to multiply a two- or three-digit number by a one-digit number. Strategies may include mental strategies, partial products, the standard algorithm, and the commutative, associative, and distributive properties.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)

3.1.3: Understand meanings and uses of fractions in real-world and mathematical situations.

3.1.3.1: Read and write fractions with words and symbols. Recognize that fractions can be used to represent parts of a whole, parts of a set, points on a number line, or distances on a number line.

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

3.1.3.2: Understand that the size of a fractional part is relative to the size of the whole.

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

3.1.3.3: Order and compare unit fractions and fractions with like denominators by using models and an understanding of the concept of numerator and denominator.

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Modeling Fractions (Area Models)

3.2: Algebra

3.2.1: Use single-operation input-output rules to represent patterns and relationships and to solve real-world and mathematical problems.

3.2.1.1: Create, describe, and apply single-operation input-output rules involving addition, subtraction and multiplication to solve problems in various contexts.

Function Machines 1 (Functions and Tables)

3.3: Geometry & Measurement

3.3.2: Understand perimeter as a measurable attribute of real-world and mathematical objects. Use various tools to measure perimeter.

3.3.2.2: Find the perimeter of a polygon by adding the lengths of the sides.

Fido's Flower Bed (Perimeter and Area)

3.3.2.3: Measure distances around objects.

Fido's Flower Bed (Perimeter and Area)

3.3.3: Use time, money and temperature to solve real-world and mathematical problems.

3.3.3.1: Tell time to the minute, using digital and analog clocks. Determine elapsed time to the minute.

Elapsed Time

3.4: Data Analysis

3.4.1: Collect, organize, display, and interpret data. Use labels and a variety of scales and units in displays.

3.4.1.1: Collect, display and interpret data using frequency tables, bar graphs, picture graphs and number line plots having a variety of scales. Use appropriate titles, labels and units.

Forest Ecosystem
Mascot Election (Pictographs and Bar Graphs)
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)