5.1: Number & Operation

5.1.1: Divide multi-digit numbers; solve real-world and mathematical problems using arithmetic.

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

No Alien Left Behind (Division with Remainders)

5.1.1.2: Consider the context in which a problem is situated to select the most useful form of the quotient for the solution and use the context to interpret the quotient appropriately.

No Alien Left Behind (Division with Remainders)

5.1.1.3: Estimate solutions to arithmetic problems in order to assess the reasonableness of results of calculations.

Cannonball Clowns (Number Line Estimation)

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

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)

5.1.2: 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.

5.1.2.1: Read and write decimals using place value to describe decimals in terms of groups from millionths to millions.

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

5.1.2.2: 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)

5.1.2.4: Recognize and generate equivalent decimals, fractions, mixed numbers and improper fractions in various contexts.

Fraction Artist 1 (Area Models of Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

5.1.3: Add and subtract fractions, mixed numbers and decimals to solve real-world and mathematical problems.

5.1.3.1: Add and subtract decimals and fractions, using efficient and generalizable procedures, including standard algorithms.

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)

5.1.3.2: Model addition and subtraction of fractions and decimals using a variety of representations.

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)

5.1.3.4: Solve real-world and mathematical problems requiring addition and subtraction of decimals, fractions and mixed numbers, including those involving measurement, geometry and data.

Adding Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)

5.2: Algebra

5.2.1: Recognize and represent patterns of change; use patterns, tables, graphs and rules to solve real-world and mathematical problems.

5.2.1.1: Create and use rules, tables, spreadsheets and graphs to describe patterns of change and solve problems.

Graphing Skills

5.2.1.2: Use a rule or table to represent ordered pairs of positive integers and graph these ordered pairs on a coordinate system.

Points, Lines, and Equations

5.2.2: Use properties of arithmetic to generate equivalent numerical expressions and evaluate expressions involving whole numbers.

5.2.2.1: Apply the commutative, associative and distributive properties and order of operations to generate equivalent numerical expressions and to solve problems involving whole numbers.

Modeling Whole Numbers and Decimals (Base-10 Blocks)
Order of Operations

5.3: Geometry & Measurement

5.3.2: Determine the area of triangles and quadrilaterals; determine the surface area and volume of rectangular prisms in various contexts.

5.3.2.1: Develop and use formulas to determine the area of triangles, parallelograms and figures that can be decomposed into triangles.

Area of Triangles

5.4: Data Analysis

5.4.1: Display and interpret data; determine mean, median and range.

5.4.1.2: Create and analyze double-bar graphs and line graphs by applying understanding of whole numbers, fractions and decimals. Know how to create spreadsheet tables and graphs to display data.

Elevator Operator (Line Graphs)
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)