4.N: Number Sense and Operations

4.N.1: Exhibit an understanding of the base ten number system by reading, modeling, writing, and interpreting whole numbers to at least 100,000; demonstrating an understanding of the values of the digits; and comparing and ordering the numbers.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

4.N.2: Represent, order, and compare large numbers (to at least 100,000) using various forms, including expanded notation, e.g., 853 = 8 x 100 + 5 x 10 + 3.

Cannonball Clowns (Number Line Estimation)

4.N.3: Demonstrate an understanding of fractions as parts of unit wholes, as parts of a collection, and as locations on the 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)

4.N.4: Select, use, and explain models to relate common fractions and mixed numbers (1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/10, 1/12, and 1-1/2), find equivalent fractions, mixed numbers, and decimals, and order fractions.

Adding Fractions (Fraction Tiles)
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)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Toy Factory (Set Models of Fractions)

4.N.5: Identify and generate equivalent forms of common decimals and fractions less than one whole (halves, quarters, fifths, and tenths).

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)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Toy Factory (Set Models of Fractions)

4.N.6: Exhibit an understanding of the base ten number system by reading, naming, and writing decimals between 0 and 1 up to the hundredths.

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

4.N.7: Recognize classes (in particular, odds, evens; factors or multiples of a given number; and squares) to which a number may belong, and identify the numbers in those classes. Use these in the solution of problems.

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Pattern Flip (Patterns)

4.N.8: Select, use, and explain various meanings and models of multiplication and division of whole numbers. Understand and use the inverse relationship between the two operations.

Factor Trees (Factoring Numbers)
Function Machines 3 (Functions and Problem Solving)

4.N.9: Select, use, and explain the commutative, associative, and identity properties of operations on whole numbers in problem situations, e.g., 37 x 46 = 46 x 37, (5 x 7) x 2 = 5 x (7 x 2).

Critter Count (Modeling Multiplication)

4.N.10: Select and use appropriate operations (addition, subtraction, multiplication, and division) to solve problems, including those involving money.

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Multiplying Decimals (Area Model)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)
Pattern Flip (Patterns)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)

4.N.12: Add and subtract (up to five-digit numbers) and multiply (up to three digits by two digits) accurately and efficiently.

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

4.N.13: Divide up to a three-digit whole number with a single-digit divisor (with or without remainders) accurately and efficiently. Interpret any remainders.

No Alien Left Behind (Division with Remainders)

4.N.15: Demonstrate in the classroom an understanding of and the ability to use the conventional algorithm for division of up to a three-digit whole number with a single-digit divisor (with or without remainders).

No Alien Left Behind (Division with Remainders)

4.N.16: Round whole numbers through 100,000 to the nearest 10, 100, 1000, 10,000, and 100,000.

Rounding Whole Numbers (Number Line)

4.N.17: Select and use a variety of strategies (e.g., front-end, rounding, and regrouping) to estimate quantities, measures, and the results of whole-number computations up to three-digit whole numbers and amounts of money to $1000, and to judge the reasonableness of the answer.

Cannonball Clowns (Number Line Estimation)
Multiplying Decimals (Area Model)

4.P: Patterns, Relations, and Algebra

4.P.1: Create, describe, extend, and explain symbolic (geometric) and numeric patterns, including multiplication patterns like 3, 30, 300, 3000, ....

Function Machines 1 (Functions and Tables)
Pattern Flip (Patterns)

4.P.5: Solve problems involving proportional relationships, including unit pricing (e.g., four apples cost 80¢, so one apple costs 20¢) and map interpretation (e.g., one inch represents five miles, so two inches represent ten miles).

Estimating Population Size

4.P.6: Determine how change in one variable relates to a change in a second variable, e.g., input-output tables.

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)

4.G: Geometry

4.G.1: Compare and analyze attributes and other features (e.g., number of sides, faces, corners, right angles, diagonals, and symmetry) of two- and three-dimensional geometric shapes.

Classifying Quadrilaterals
Rock Art (Transformations)

4.G.2: Describe, model, draw, compare, and classify two- and three-dimensional shapes, e.g., circles, polygons-especially triangles and quadrilaterals-cubes, spheres, and pyramids.

Classifying Quadrilaterals

4.G.6: Using ordered pairs of numbers and/or letters, graph, locate, identify points, and describe paths (first quadrant).

City Tour (Coordinates)
Function Machines 2 (Functions, Tables, and Graphs)

4.G.7: Describe and apply techniques such as reflections (flips), rotations (turns), and translations (slides) for determining if two shapes are congruent.

Rock Art (Transformations)

4.M: Measurement

4.M.1: Demonstrate an understanding of such attributes as length, area, weight, and volume, and select the appropriate type of unit for measuring each attribute.

Balancing Blocks (Volume)
Cannonball Clowns (Number Line Estimation)
Fido's Flower Bed (Perimeter and Area)

4.M.2: Carry out simple unit conversions within a system of measurement, e.g., hours to minutes, cents to dollars, yards to feet or inches, etc.

Cannonball Clowns (Number Line Estimation)

4.M.3: Identify time to the minute on analog and digital clocks using a.m. and p.m. Compute elapsed time using a clock (e.g., hours and minutes since...) and using a calendar (e.g., days since...).

Elapsed Time

4.M.4: Estimate and find area and perimeter of a rectangle, triangle, or irregular shape using diagrams, models, and grids or by measuring.

Balancing Blocks (Volume)
Fido's Flower Bed (Perimeter and Area)

4.M.5: Identify and use appropriate metric and English units and tools (e.g., ruler, angle ruler, graduated cylinder, thermometer) to estimate, measure, and solve problems involving length, area, volume, weight, time, angle size, and temperature.

Cannonball Clowns (Number Line Estimation)
Fido's Flower Bed (Perimeter and Area)
Measuring Trees

4.D: Data Analysis, Statistics, and Probability

4.D.1: Collect and organize data using observations, measurements, surveys, or experiments, and identify appropriate ways to display the data.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram

4.D.2: Match a representation of a data set such as lists, tables, or graphs (including circle graphs) with the actual set of data.

Graphing Skills

4.D.3: Construct, draw conclusions, and make predictions from various representations of data sets, including tables, bar graphs, pictographs, line graphs, line plots, and tallies.

Forest Ecosystem
Graphing Skills
Reaction Time 1 (Graphs and Statistics)