5.1: Students compute with whole numbers, decimals, and fractions and understand the relationship among decimals, fractions, and percents. They understand the relative magnitudes of numbers. They understand prime and composite numbers.

5.1.2: Round whole numbers and decimals to any place value.

Rounding Whole Numbers (Number Line)

5.1.3: Arrange in numerical order and compare whole numbers or decimals to two decimal places by using the symbols for less than (<), equals (=), and greater than (>).

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

5.1.4: Interpret percents as a part of a hundred. Find decimal and percent equivalents for common fractions and explain why they represent the same value.

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

5.1.5: Explain different interpretations of fractions: as parts of a whole, parts of a set, and division of whole numbers by whole numbers.

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)

5.1.6: Describe and identify prime and composite numbers.

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

5.1.7: Identify on a number line the relative position of simple positive fractions, positive mixed numbers, and positive decimals.

Comparing and Ordering Decimals

5.2: Students solve problems involving multiplication and division of whole numbers and solve problems involving addition, subtraction, and simple multiplication and division of fractions and decimals.

5.2.1: Solve problems involving multiplication and division of any whole numbers.

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

5.2.2: Add and subtract fractions (including mixed numbers) with different denominators.

Fraction Artist 2 (Area Models of Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)

5.2.5: Add and subtract decimals and verify the reasonableness of the results.

Adding Decimals (Base-10 Blocks)
Subtracting Decimals (Base-10 Blocks)

5.2.6: Use estimation to decide whether answers are reasonable in addition, subtraction, multiplication, and division problems.

Adding Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Subtracting Decimals (Base-10 Blocks)

5.2.7: Use mental arithmetic to add or subtract simple decimals.

Adding Decimals (Base-10 Blocks)
Subtracting Decimals (Base-10 Blocks)

5.3: Students use variables in simple expressions, compute the value of an expression for specific values of the variable, and plot and interpret the results. They use two-dimensional coordinate grids to represent points and graph lines.

5.3.4: Identify and graph ordered pairs of positive numbers.

Elevator Operator (Line Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations

5.3.5: Find ordered pairs (positive numbers only) that fit a linear equation, graph the ordered pairs, and draw the line they determine.

Points, Lines, and Equations

5.3.7: Use information taken from a graph or equation to answer questions about a problem situation.

Graphing Skills

5.4: Students identify, describe, and classify the properties of plane and solid geometric shapes and the relationships between them

5.4.1: Measure, identify, and draw angles, perpendicular and parallel lines, rectangles, triangles, and circles by using appropriate tools (e.g., ruler, compass, protractor, appropriate technology, media tools).

Classifying Quadrilaterals

5.4.4: Identify, describe, draw, and classify polygons, such as pentagons and hexagons.

Classifying Quadrilaterals

5.4.6: Identify shapes that have reflectional and rotational symmetry.

Quilting Bee (Symmetry)

5.5: Students understand and compute the areas and volumes of simple objects, as well as measuring weight, temperature, time, and money.

5.5.1: Understand and apply the formulas for the area of a triangle, parallelogram, and trapezoid.

Area of Triangles

5.5.2: Solve problems involving perimeters and areas of rectangles, triangles, parallelograms, and trapezoids, using appropriate units.

Area of Triangles
Fido's Flower Bed (Perimeter and Area)

5.5.4: Find the surface area and volume of rectangular solids using appropriate units.

Balancing Blocks (Volume)

5.5.5: Understand and use the smaller and larger units for measuring weight (ounce, gram, and ton) and their relationship to pounds and kilograms.

Cannonball Clowns (Number Line Estimation)

5.6: Students collect, display, analyze, compare, and interpret data sets. They use the results of probability experiments to predict future events.

5.6.1: Explain which types of displays are appropriate for various sets of data.

Graphing Skills

5.6.2: Find the mean, median, mode, and range of a set of data and describe what each does and does not tell about the data set.

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

5.6.3: Understand that probability can take any value between 0 and 1, events that are not going to occur have probability 0, events certain to occur have probability 1, and more likely events have a higher probability than less likely events.

Spin the Big Wheel! (Probability)

5.7: Problem Solving

5.7.1: Analyze problems by identifying relationships, telling relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.

Function Machines 2 (Functions, Tables, and Graphs)
Pattern Flip (Patterns)

5.7.6: Know and apply appropriate methods for estimating results of rational-number computations.

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