### M5:1: Demonstrates conceptual understanding of rational numbers with respect to:

#### M5:1.1: whole numbers from 0 to 9,999,999 through equivalency, composition, decomposition, or place value using models, explanations, or other representations;

Equivalent Fractions (Fraction Tiles)

Modeling Decimals (Area and Grid Models)

Modeling Whole Numbers and Decimals (Base-10 Blocks)

#### M5:1.2: positive fractional numbers (proper, mixed number, and improper) (halves, fourths, eighths, thirds, sixths, twelfths, fifths, or powers of ten [10, 100, 1000]), decimals (to thousandths), or benchmark percents (10%, 25%, 50%, 75% or 100%) as a part to whole relationship in area, set, or linear models using models, explanations, or other representations.

Equivalent Fractions (Fraction Tiles)

Fraction Artist 1 (Area Models of Fractions)

Fraction Garden (Comparing Fractions)

Fraction, Decimal, Percent (Area and Grid Models)

Modeling Fractions (Area Models)

Toy Factory (Set Models of Fractions)

### M5:2: Demonstrates understanding of the relative magnitude of numbers by ordering, comparing, or identifying equivalent positive fractional numbers, decimals, or benchmark percents within number formats (fractions to fractions, decimals to decimals, or percents to percents); or integers in context using models or number lines.

Fraction, Decimal, Percent (Area and Grid Models)

### M5:3: Demonstrates conceptual understanding of mathematical operations by describing or illustrating the meaning of a remainder with respect to division of whole numbers using models, explanations, or solving problems.

No Alien Left Behind (Division with Remainders)

### M5:4: Accurately solves problems involving multiple operations on whole numbers or the use of the properties of factors, multiples, prime, or composite numbers; and addition or subtraction of fractions (proper) and decimals to the hundredths place. (Division of whole numbers by up to a two-digit divisor.)

Adding Fractions (Fraction Tiles)

Adding Whole Numbers and Decimals (Base-10 Blocks)

Cargo Captain (Multi-digit Subtraction)

Chocomatic (Multiplication, Arrays, and Area)

Critter Count (Modeling Multiplication)

Fractions Greater than One (Fraction Tiles)

Modeling Fractions (Area Models)

No Alien Left Behind (Division with Remainders)

Number Line Frog Hop (Addition and Subtraction)

Pattern Flip (Patterns)

Subtracting Whole Numbers and Decimals (Base-10 Blocks)

### M5:7: Estimates and evaluates the reasonableness of solutions appropriate to grade level.

Cannonball Clowns (Number Line Estimation)

Multiplying Decimals (Area Model)

### M5:8: Applies properties of numbers (odd, even, factor, multiple, prime, composite, divisibility, remainders, composition/decomposition) to solve problems and to simplify computations.

Chocomatic (Multiplication, Arrays, and Area)

Number Line Frog Hop (Addition and Subtraction)

Pattern Flip (Patterns)

### M5:9: Uses properties or attributes of angles (right, acute, or obtuse) or sides (number of congruent sides, parallelism, or perpendicularity) to identify, describe, classify, or distinguish among different types of triangles (right, acute, obtuse, equiangular, or equilateral) or quadrilaterals (rectangles, squares, rhombi, trapezoids, or parallelograms).

Classifying Quadrilaterals

### M5:14: Demonstrates conceptual understanding of perimeter of polygons, and the area of rectangles or right triangles through models, manipulatives, or formulas, the area of polygons or irregular figures on grids, and volume of rectangular prisms (cubes) using a variety of models, manipulatives, or formulas. Expresses all measures using appropriate units.

Area of Triangles

Balancing Blocks (Volume)

Chocomatic (Multiplication, Arrays, and Area)

Fido's Flower Bed (Perimeter and Area)

### M5:16: Determines elapsed and accrued time to the nearest minute.

Elapsed Time

### M5:18: Solves problems using the Cartesian coordinate system (all quadrants) to locate coordinates and to represent data from tables.

Elevator Operator (Line Graphs)

Graphing Skills

Points in the Coordinate Plane

Points, Lines, and Equations

### M5:23: Interprets a given representation (tables, bar graphs, circle graphs, or line graphs) to answer questions related to the data, to analyze the data to formulate or justify conclusions, to make predictions, or to solve problems. And (tally charts, frequency charts, line graphs, Venn diagrams, pictographs, line plots, histograms).

Elevator Operator (Line Graphs)

Forest Ecosystem

Graphing Skills

Reaction Time 1 (Graphs and Statistics)

### M5:24: Analyzes patterns, trends, or distributions in data in a variety of contexts by determining or using measures of central tendency (mean, median, or mode) or range to analyze situations, or to solve problems.

Movie Reviewer (Mean and Median)

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

### M5:25: Identifies or describes representations or elements of representations that best display a given set of data or situation, consistent with the representations required in M5:23. Organizes and displays data using line plots, bar graphs, tally charts and frequency charts, or tables to answer question related to the data, to analyze the data to formulate or justify conclusions, to make predictions, or to solve problems.

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)

### M5:26: Uses counting techniques to solve problems in context involving combinations using a variety of strategies (e.g., organized lists, tables, tree diagrams, or others); or determines the possible outcomes for a sample space that contains equally likely outcomes.

Spin the Big Wheel! (Probability)

### M5:27: For a probability event in which the sample space may or may not contain equally likely outcomes, determines the experimental or theoretical probability of an event and expresses the result as a fraction.

Spin the Big Wheel! (Probability)

### M5:28: In response to a teacher- or student-generated question or hypothesis, collects appropriate data, organizes the data, appropriately displays/represents numerical and/or categorical data, analyzes the data to draw conclusions about the questions or hypothesis being tested, and when appropriate makes predictions, asks new questions, or makes connections to real-world situations.

Graphing Skills

### M5:29: Uses experimental probability, evaluates the possible outcomes, and describes the likelihood or chance of an event as a ratio of actual times the event occurred to the number of trials written as either a ratio or as part to whole.

Spin the Big Wheel! (Probability)

Correlation last revised: 4/4/2018