5.N: Number & Operations

5.N.1: Divide multi-digit numbers and solve real-world and mathematical problems using arithmetic.

5.N.1.3: Recognize that quotients can be represented in a variety of ways, including a whole number with a remainder, a fraction or mixed number, or a decimal and consider the context in which a problem is situated to select and interpret the most useful form of the quotient for the solution.

No Alien Left Behind (Division with Remainders)

5.N.1.4: Solve real-world and mathematical problems requiring addition, subtraction, multiplication, and division of multi-digit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

5.N.2: Read, write, represent, and compare fractions and decimals; recognize and write equivalent fractions; convert between fractions and decimals; use fractions and decimals in real-world and mathematical situations.

5.N.2.1: Represent decimal fractions (e.g., 1/10. 1/100) using a variety of models (e.g., 10 by 10 grids, rational number wheel, base-ten blocks, meter stick) and make connections between fractions and decimals.

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

5.N.2.2: Represent, read and write decimals using place value to describe decimal numbers including fractional numbers as small as thousandths and whole numbers as large as millions.

Comparing and Ordering Decimals
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Treasure Hunter (Decimals on the Number Line)

5.N.2.3: Compare and order fractions and decimals, including mixed numbers and fractions less than one, and locate on a number line.

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Comparing and Ordering Decimals
Equivalent Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Toy Factory (Set Models of Fractions)
Treasure Hunter (Decimals on the Number Line)

5.N.2.4: Recognize and generate equivalent decimals, fractions, mixed numbers, and fractions less than one in various contexts.

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)
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)

5.N.3: Add and subtract fractions with like and unlike denominators, mixed numbers and decimals to solve real-world and mathematical problems.

5.N.3.2: Illustrate addition and subtraction of fractions with like and unlike denominators, mixed numbers, and decimals using a variety of representations (e.g., fraction strips, area models, number lines, fraction rods).

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Fractions Greater than One (Fraction Tiles)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

5.N.3.3: Add and subtract fractions with like and unlike denominators, mixed numbers, and decimals, using efficient and generalizable procedures, including but not limited to standard algorithms in order to solve real-world and mathematical problems including those involving money, measurement, geometry, and data.

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

5.N.3.4: Find 0.1 more than a number and 0.1 less than a number. Find 0.01 more than a number and 0.01 less than a number. Find 0.001 more than a number and 0.001 less than a number.

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

5.A: Algebraic Reasoning & Algebra

5.A.1: Describe and graph patterns of change created through numerical patterns.

5.A.1.1: Use tables and rules of up to two operations to describe patterns of change and make predictions and generalizations about real-world and mathematical problems.

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

5.A.1.2: Use a rule or table to represent ordered pairs of whole numbers and graph these ordered pairs on a coordinate plane, identifying the origin and axes in relation to the coordinates.

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Function Machines 1 (Functions and Tables)
Points, Lines, and Equations

5.A.2: Understand and interpret expressions, equations, and inequalities involving variables and whole numbers, and use them to represent and evaluate real-world and mathematical problems.

5.A.2.1: Generate equivalent numerical expressions and solve problems involving whole numbers by applying the commutative, associative, and distributive properties and order of operations (no exponents).

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Order of Operations

5.GM: Geometry & Measurement

5.GM.2: Understand how the volume of rectangular prisms and surface area of shapes with polygonal faces are determined by the dimensions of the object and that shapes with varying dimensions can have equivalent values of surface area or volume.

5.GM.2.1: Recognize that the volume of rectangular prisms can be determined by the number of cubes (n) and by the product of the dimensions of the prism (a×b×c = n). Know that rectangular prisms of different dimensions (p, q, and r) can have the same volume if a×b×c = p×q×r = n.

Balancing Blocks (Volume)

5.GM.2.3: Find the perimeter of polygons and create arguments for reasonable values for the perimeter of shapes that include curves.

Fido's Flower Bed (Perimeter and Area)

5.GM.3: Understand angle and length as measurable attributes of real-world and mathematical objects. Use various tools to measure angles and lengths.

5.GM.3.2: Choose an appropriate instrument and measure the length of an object to the nearest whole centimeter or 1/16-inch.

Cannonball Clowns (Number Line Estimation)
Measuring Trees

5.GM.3.3: Recognize and use the relationship between inches, feet, and yards to measure and compare objects.

Cannonball Clowns (Number Line Estimation)

5.GM.3.4: Recognize and use the relationship between millimeters, centimeters, and meters to measure and compare objects.

Cannonball Clowns (Number Line Estimation)

5.D: Data & Probability

5.D.1: Display and analyze data to find the range and measures of central tendency (mean, median, and mode).

5.D.1.1: Find the measures of central tendency (mean, median, or mode) and range of a set of data. Understand that the mean is a “leveling out” or central balance point of the data.

Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

5.D.1.2: Create and analyze line and double-bar graphs with whole numbers, fractions, and decimals increments.

Elevator Operator (Line Graphs)
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)