M5.A: Numbers and Operations

M5.A.1: Demonstrate an understanding of numbers, ways of representing numbers, relationships among numbers and number systems.

M5.A.1.1: Express numbers in equivalent forms.

M5.A.1.1.1: Use expanded notation to represent whole numbers or decimals (whole numbers less than 10,000,000 and decimals through hundredths).

Cannonball Clowns (Number Line Estimation)
Comparing and Ordering Decimals

M5.A.1.2: Demonstrate understanding of place value of whole numbers and decimals.

M5.A.1.2.2: Identify the place value of a digit (from millions through hundredths).

Cannonball Clowns (Number Line Estimation)
Rounding Whole Numbers (Number Line)
Target Sum Card Game (Multi-digit Addition)

M5.A.1.3: Compare quantities or magnitudes of numbers.

M5.A.1.3.1: Compare whole numbers through 9 digits using the words more, less, equal, least, most, greater than, less than or the symbols <, >, =.

Modeling Whole Numbers and Decimals (Base-10 Blocks)

M5.A.1.3.2: Compare and/or order decimals through the hundredths. (Limit sets for ordering to no more than 4 numbers.)

Adding Whole Numbers and Decimals (Base-10 Blocks)
Comparing and Ordering Decimals
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)

M5.A.1.3.3: Compare proper fractions through 16ths with like and unlike denominators.

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)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

M5.A.1.5: Use or develop models to represent fractions and/or mixed numbers.

M5.A.1.5.1: Use or develop regions and/or sets (e.g., circle graph, base ten blocks) to model fractions and mixed numbers through hundredths (may include reducing the 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)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

M5.A.1.6: Apply number theory concepts (i.e., primes, factors, multiples, composites).

M5.A.1.6.1: Define/list/identify prime and composite numbers less than or equal to 100.

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

M5.A.1.6.2: Define/list/identify factors and/or multiples of a given whole number less than or equal to 50.

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

M5.A.2: Understand the meanings of operations, use operations and understand how they relate to each other.

M5.A.2.1: Solve problems involving decimals, fractions and/or whole numbers (straight computation or word problems).

M5.A.2.1.1: Solve problems involving addition, subtraction, multiplication and division of whole numbers (multipliers up to 2 digits - divisors one digit) and decimals including money (answer through hundredths - no divisors with decimals).

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

M5.A.2.1.2: Solve problems involving addition and subtraction of fractions (through 16ths - like and unlike denominators - for unlike denominators, the LCD must be one of the given denominators).

Adding Fractions (Fraction Tiles)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)

M5.A.3: Compute accurately and fluently and make reasonable estimates.

M5.A.3.1: Apply estimation strategies to a variety of problems.

M5.A.3.1.1: Round whole numbers through millions and decimals through hundredths.

Rounding Whole Numbers (Number Line)

M5.A.3.1.2: Use estimation to solve problems involving whole numbers and/or decimals (up to 2-digit multipliers, single-digit divisors or multiples of 10; whole numbers through thousands and decimals through hundredths).

Adding Whole Numbers and Decimals (Base-10 Blocks)
Critter Count (Modeling Multiplication)
Multiplying Decimals (Area Model)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

M5.A.3.2: Compute accurately without the use of a calculator (straight computation or 1 operation word problems).

M5.A.3.2.1: Use addition, subtraction, multiplication and division to compute accurately without a calculator (multipliers up to 2 digits, single-digit divisors or multiples of 10 - whole numbers through thousands and decimals through hundredths - no division with decimals).

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)
Fractions Greater than One (Fraction Tiles)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)

M5.B: Measurement

M5.B.1: Demonstrate an understanding of measurable attributes of objects and figures, and the units, systems and processes of measurement.

M5.B.1.1: Select appropriate units (customary or metric) to measure specific attributes of objects.

M5.B.1.1.1: Select the appropriate unit for measuring weight (mass), capacity, length, perimeter and area.

Area of Triangles
Cannonball Clowns (Number Line Estimation)
Fido's Flower Bed (Perimeter and Area)

M5.B.1.2: Solve problems using simple conversions and/or add and subtract measurements.

M5.B.1.2.1: Convert using linear measurements, capacity, and weight (mass) within the same system to the unit immediately above or below the given unit (using only the units below - use a conversion chart or a "hint" with problems e.g., hint: 16oz = 1lb).

M5.B.1.2.1.a: Metric using mm, cm, m and km; mL and L; g and kg

Cannonball Clowns (Number Line Estimation)

M5.B.1.2.1.b: Customary using cup, pint, quart, gallon; in, ft, yd; oz, lb

Cannonball Clowns (Number Line Estimation)

M5.B.1.3: Estimate and/or compare the perimeters or areas of 2 figures without computation.

M5.B.1.3.2: Estimate the area of an irregular figure shown on a grid.

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

M5.B.2: Apply appropriate techniques, tools and formulas to determine measurements.

M5.B.2.1: Use appropriate tools to determine measurements.

M5.B.2.1.1: Use a ruler to measure to the nearest 1/8 inch or centimeter.

Measuring Trees

M5.B.2.2: Solve problems involving length, time, weight (mass), capacity, temperature, perimeter and/or area.

M5.B.2.2.1: Find the perimeter of a figure drawn and labeled (with the same units throughout).

Fido's Flower Bed (Perimeter and Area)

M5.B.2.2.2: Find the area of a square or rectangle (with the same units throughout - whole numbers only).

Area of Triangles
Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)

M5.B.2.2.3: Solve problems involving weight, time, temperature, length and capacity (with the same units throughout - limited to 3 digits).

Cannonball Clowns (Number Line Estimation)

M5.C: Geometry

M5.C.1: Analyze characteristics and properties of two- and three- dimensional geometric shapes and demonstrate understanding of geometric relationships.

M5.C.1.1: Define and/or use basic properties of quadrilaterals (parallelograms, squares, rectangles, trapezoids, rhombi), triangles, circles, pyramids, cubes, and/or prisms.

M5.C.1.1.2: Identify and/or describe properties of all types of quadrilaterals (parallelogram, rectangle, rhombus, square, trapezoid).

Classifying Quadrilaterals

M5.C.1.2: Represent and/or use properties of lines, line segments, rays, points and planes.

M5.C.1.2.1: Identify, draw and/or label points, lines, line segments and rays.

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Points in the Coordinate Plane

M5.C.2: Identify and/or apply concepts of transformations or symmetry.

M5.C.2.1: Analyze transformations and/or use symmetry to analyze mathematical situations.

M5.C.2.1.1: Draw or identify a translation (slide), reflection (flip) or rotation (turn) of a 2-dimensional shape.

Rock Art (Transformations)

M5.D: Algebraic Concepts

M5.D.1: Demonstrate an understanding of patterns, relations and functions.

M5.D.1.1: Create or extend patterns.

M5.D.1.1.1: Extend or find a missing element in a numerical or simple geometric pattern (+, -, x or ÷ of whole numbers). Pattern must show 3 repetitions.

Pattern Flip (Patterns)

M5.D.1.1.2: Create or replicate a numerical or geometric pattern showing 3 repetitions of that pattern (+, -, x or ÷ of whole numbers may be used).

Pattern Flip (Patterns)

M5.E: Data Analysis and Probability

M5.E.1: Formulate or answer questions that can be addressed with data and/or organize, display, interpret or analyze data.

M5.E.1.1: Organize, display and/or interpret data using pictographs, tallies, tables, charts, line, bar graphs.

M5.E.1.1.1: Display and/or interpret data shown in tallies, tables, charts, pictographs, bar graphs, line graphs and using a title, appropriate scale, and labels. A grid will be provided to display data on bar graphs or line graphs.

Distance-Time Graphs
Elevator Operator (Line Graphs)
Forest Ecosystem
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

M5.E.2: Select and/or use appropriate statistical methods to analyze data.

M5.E.2.1: Describe data sets using mean, median, mode and/or range.

M5.E.2.1.1: Determine the mean/average (answer is a whole number), median (answer is a whole number or average of 2 numbers) and range of data (up to 10 numbers).

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

M5.E.2.1.2: Identify the mode in a set of data (up to 10 numbers).

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

M5.E.3: Understand and/or apply basic concepts of probability or outcomes.

M5.E.3.1: Predict or determine all possible combinations, outcomes and/or calculate the probability of a simple event.

M5.E.3.1.1: Predict or determine whether some outcomes are certain, more likely, less likely, equally likely, or impossible (information could be represented by pictographs, bar graphs, charts, tables and/or spinners).

Spin the Big Wheel! (Probability)

M5.E.3.1.2: Determine the probability of an outcome (e.g., a coin toss, a roll of a number cube) and express as a fraction without reduction.

Spin the Big Wheel! (Probability)