4.1: Number & Operation

4.1.2: Demonstrate mastery of multiplication and division basic facts; multiply multi-digit numbers; solve real-world and mathematical problems using arithmetic.

4.1.2.1: Demonstrate fluency with multiplication and division facts.

Critter Count (Modeling Multiplication)

4.1.2.4: Solve multi-step real-world and mathematical problems requiring the use of addition, subtraction and multiplication of multi-digit whole numbers. Use various strategies including the relationships between the operations and a calculator to check for accuracy.

Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)

4.1.2.5: Use strategies and algorithms based on knowledge of place value and properties of operations to divide multi-digit whole numbers by one- or two-digit numbers. Strategies may include mental strategies, partial quotients, the commutative, associative, and distributive properties and repeated subtraction.

No Alien Left Behind (Division with Remainders)

4.1.3: Represent and compare fractions and decimals in real-world and mathematical situations; use place value to understand how decimals represent quantities.

4.1.3.1: Represent equivalent fractions using fraction models such as parts of a set, fraction circles, fraction strips, number lines and other manipulatives. Use the models to determine equivalent fractions.

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)

4.1.3.2: Locate fractions on a number line. Use models to order and compare whole numbers and fractions, including mixed numbers and improper fractions.

Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)

4.1.3.4: Read and write decimals with words and symbols; use place value to describe decimals in terms of groups of thousands, hundreds, tens, ones, tenths, hundredths and thousandths.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

4.1.3.5: Compare and order decimals and whole numbers using place value, a number line and models such as grids and base 10 blocks.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cannonball Clowns (Number Line Estimation)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

4.1.3.7: Read and write tenths and hundredths in decimal and fraction notations using words and symbols; know the fraction and decimal equivalents for halves and fourths.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Fractions Greater than One (Fraction Tiles)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Toy Factory (Set Models of Fractions)
Treasure Hunter (Decimals on the Number Line)

4.2: Algebra

4.2.1: Use input-output rules, tables and charts to represent patterns and relationships and to solve real-world and mathematical problems.

4.2.1.1: Create and use input-output rules involving addition, subtraction, multiplication and division to solve problems in various contexts. Record the inputs and outputs in a chart or table.

Function Machines 1 (Functions and Tables)

4.2.2: Use number sentences involving multiplication, division and unknowns to represent and solve real-world and mathematical problems; create real-world situations corresponding to number sentences.

4.2.2.1: Understand how to interpret number sentences involving multiplication, division and unknowns. Use real-world situations involving division to represent number sentences.

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

4.2.2.2: Use multiplication, division and unknowns to represent a given problem situation using a number sentence. Use number sense, properties of multiplication, and the relationship between multiplication and division to find values for the unknowns that make the number sentences true.

Critter Count (Modeling Multiplication)
Multiplying Decimals (Area Model)

4.3: Geometry & Measurement

4.3.1: Name, describe, classify and sketch polygons.

4.3.1.2: Describe, classify and draw quadrilaterals, including squares, rectangles, trapezoids, rhombuses, parallelograms and kites. Recognize quadrilaterals in various contexts.

Classifying Quadrilaterals

4.3.2: Understand angle and area as measurable attributes of real-world and mathematical objects. Use various tools to measure angles and areas.

4.3.2.3: Understand that the area of a two-dimensional figure can be found by counting the total number of same size square units that cover a shape without gaps or overlaps. Justify why length and width are multiplied to find the area of a rectangle by breaking the rectangle into one unit by one unit squares and viewing these as grouped into rows and columns.

Balancing Blocks (Volume)
Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)

4.3.2.4: Find the areas of geometric figures and real-world objects that can be divided into rectangular shapes. Use square units to label area measurements.

Fido's Flower Bed (Perimeter and Area)

4.3.3: Use translations, reflections and rotations to establish congruency and understand symmetries.

4.3.3.1: Apply translations (slides) to figures.

Rock Art (Transformations)

4.3.3.2: Apply reflections (flips) to figures by reflecting over vertical or horizontal lines and relate reflections to lines of symmetry.

Quilting Bee (Symmetry)
Rock Art (Transformations)

4.3.3.3: Apply rotations (turns) of 90° clockwise or counterclockwise.

Rock Art (Transformations)

4.3.3.4: Recognize that translations, reflections and rotations preserve congruency and use them to show that two figures are congruent.

Rock Art (Transformations)