4.NSBT: Number Sense and Base Ten

4.NSBT.1: Understand that, in a multi-digit whole number, a digit represents ten times what the same digit represents in the place to its right.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cannonball Clowns (Number Line Estimation)
Cargo Captain (Multi-digit Subtraction)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Rounding Whole Numbers (Number Line)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)
Whole Numbers with Base-10 Blocks

4.NSBT.2: Recognize math periods and number patterns within each period to read and write in standard form large numbers through 999,999,999.

Cannonball Clowns (Number Line Estimation)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Whole Numbers with Base-10 Blocks

4.NSBT.3: Use rounding as one form of estimation and round whole numbers to any given place value.

Rounding Whole Numbers (Number Line)

4.NSBT.4: Fluently add and subtract multi-digit whole numbers using strategies to include a standard algorithm.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)
Whole Numbers with Base-10 Blocks

4.NSBT.5: Multiply up to a four-digit number by a one-digit number and multiply a two-digit number by a two-digit number using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using rectangular arrays, area models and/or equations.

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

4.NSBT.6: Divide up to a four-digit dividend by a one-digit divisor using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division.

No Alien Left Behind (Division with Remainders)
Pattern Flip (Patterns)

4.NSF: Number Sense and Operations – Fractions

4.NSF.1: Explain why a fraction (i.e., denominators 2, 3, 4, 5, 6, 8, 10, 12, 25, 100), a/b, is equivalent to a fraction, n x a/n x b, by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

4.NSF.2: Compare two given fractions (i.e., denominators 2, 3, 4, 5, 6, 8, 10, 12, 25, 100) by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2 and represent the comparison using the symbols >, =, or <.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

4.NSF.3: Develop an understanding of addition and subtraction of fractions (i.e., denominators 2, 3, 4, 5, 6, 8, 10, 12, 25, 100) based on unit fractions.

4.NSF.3.a: Compose and decompose a fraction in more than one way, recording each composition and decomposition as an addition or subtraction equation;

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

4.NSF.3.b: Add and subtract mixed numbers with like denominators;

Fractions Greater than One (Fraction Tiles)

4.NSF.3.c: Solve real-world problems involving addition and subtraction of fractions referring to the same whole and having like denominators.

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

4.NSF.4: Apply and extend an understanding of multiplication by multiplying a whole number and a fraction (i.e., denominators 2, 3, 4, 5, 6, 8, 10, 12, 25, 100).

4.NSF.4.a: Understand a fraction a/b as a multiple of 1/b;

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

4.NSF.4.b: Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number;

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

4.NSF.6: Write a fraction with a denominator of 10 or 100 using decimal notation, and read and write a decimal number as a fraction.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

4.NSF.7: Compare and order decimal numbers to hundredths, and justify using concrete and visual models.

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.ATO: Algebraic Thinking and Operations

4.ATO.1: Interpret a multiplication equation as a comparison (e.g. interpret 35 = 5x7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5.) Represent verbal statements of multiplicative comparisons as multiplication equations.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)
Multiplying Decimals (Area Model)

4.ATO.2: Solve real-world problems using multiplication (product unknown) and division (group size unknown, number of groups unknown).

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

4.ATO.3: Solve multi-step, real-world problems using the four operations. Represent the problem using an equation with a variable as the unknown quantity.

Cannonball Clowns (Number Line Estimation)
Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)

4.ATO.4: Recognize that a whole number is a multiple of each of its factors. Find all factors for a whole number in the range 1 – 100 and determine whether the whole number is prime or composite.

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

4.ATO.5: Generate a number or shape pattern that follows a given rule and determine a term that appears later in the sequence.

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

4.G: Geometry

4.G.1: Draw points, lines, line segments, rays, angles (i.e., right, acute, obtuse), and parallel and perpendicular lines. Identify these in two-dimensional figures.

City Tour (Coordinates)
Classifying Quadrilaterals
Elevator Operator (Line Graphs)

4.G.2: Classify quadrilaterals based on the presence or absence of parallel or perpendicular lines.

Classifying Quadrilaterals
Classifying Triangles
Parallelogram Conditions

4.G.3: Recognize right triangles as a category, and identify right triangles.

Classifying Quadrilaterals
Classifying Triangles
Parallelogram Conditions

4.G.4: Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.

Quilting Bee (Symmetry)

4.MDA: Measurement and Data Analysis

4.MDA.1: Convert measurements within a single system of measurement, customary (i.e., in., ft., yd., oz., lb., sec., min., hr.) or metric (i.e., cm, m, km, g, kg, mL, L) from a larger to a smaller unit.

Cannonball Clowns (Number Line Estimation)

4.MDA.2: Solve real-world problems involving distance/length, intervals of time within 12 hours, liquid volume, mass, and money using the four operations.

Elapsed Time
Road Trip (Problem Solving)

4.MDA.3: Apply the area and perimeter formulas for rectangles.

Chocomatic (Multiplication, Arrays, and Area)

4.MDA.4: Create a line plot to display a data set (i.e., generated by measuring length to the nearest quarter-inch and eighth-inch) and interpret the line plot.

Reaction Time 2 (Graphs and Statistics)

4.MDA.7: Solve addition and subtraction problems to find unknown angles in real-world and mathematical problems.

Polygon Angle Sum