M4.A: Numbers and Operations

M4.A.1: Demonstrate an understanding of numbers, ways of representing numbers, relationships among numbers and number systems.

M4.A.1.1: Use models and/or words to represent quantities as decimals, fractions or mixed numbers.

M4.A.1.1.1: Write the fraction or decimal, including mixed numbers, which corresponds to a drawing or set - no simplification necessary.

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Toy Factory (Set Models of Fractions)
Treasure Hunter (Decimals on the Number Line)

M4.A.1.1.2: Create a drawing or set that represents a given fraction or decimal, including mixed numbers (through the tenths).

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Toy Factory (Set Models of Fractions)
Treasure Hunter (Decimals on the Number Line)

M4.A.1.1.4: Write whole numbers in expanded, standard and/or word form through 6 digits (example of standard to expanded form: 43,076 = 40,000+3000+70+6).

Cannonball Clowns (Number Line Estimation)

M4.A.1.2: Compare quantities and magnitudes of numbers.

M4.A.1.2.1: Locate/identify fractions or decimals on a number line (decimals and fractions through the tenths - do not mix fractions and decimals).

Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Treasure Hunter (Decimals on the Number Line)

M4.A.1.2.2: Compare and/or order whole numbers through 6 digits and amounts of money to $100 (limit sets for ordering, to no more than 4 numbers).

Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)

M4.A.3: Compute accurately and fluently and make reasonable estimates.

M4.A.3.1: Apply rounding and/or estimation strategies to solve problems.

M4.A.3.1.1: Round whole numbers to the nearest ten, hundred, thousand, ten-thousand or hundred-thousand.

Rounding Whole Numbers (Number Line)

M4.A.3.1.3: Estimate the answer to addition, subtraction and multiplication problems using whole numbers through 6 digits (for multiplication, no more than 2 digits X 1 digit, excluding powers of 10).

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

M4.A.3.2: Compute using fractions or decimals (written vertically or horizontally - straight computation only).

M4.A.3.2.1: Solve addition or subtraction problems involving decimals through hundredths (decimal numbers must have the same number of places).

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

M4.A.3.2.2: Solve addition or subtraction problems with fractions with like denominators (denominators to 10, no simplifying necessary).

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

M4.B: Measurement

M4.B.1: Demonstrate an understanding of measurable attributes of objects and figures, and the units, systems and processes of measurement.

M4.B.1.1: Determine time and/or calculate elapsed time.

M4.B.1.1.3: Calculate the elapsed time, to the minute, in a given situation (limited to 2 adjacent hours).

Elapsed Time

M4.B.1.1.4: Determine the beginning or ending time, given the elapsed time (limited to 2 adjacent hours).

Elapsed Time

M4.B.2: Apply appropriate techniques, tools and formulas to determine measurements.

M4.B.2.1: Select and/or use appropriate tools and/or attributes for measuring quantities.

M4.B.2.1.1: Use or read a ruler (provided) to measure to the nearest 1/4 inch or centimeter.

Measuring Trees

M4.B.2.2: Estimate measurements of figures.

M4.B.2.2.1: Make reasonable estimates of weights, lengths and capacities of familiar objects (measurements in the same system).

Cannonball Clowns (Number Line Estimation)

M4.C: Geometry

M4.C.1: Analyze characteristics and properties of two- and three- dimensional geometric shapes and demonstrate understanding of geometric relationships.

M4.C.1.1: Identify/describe the basic properties of geometric figures in two or three dimensions.

M4.C.1.1.1: Identify, classify and/or compare two-dimensional figures (circle, triangle, square, parallelogram, trapezoid, rhombus, rectangle, pentagon, hexagon, octagon).

Classifying Quadrilaterals

M4.C.1.2: Represent and/or use properties or relationships of points, lines, line segments, rays and angles.

M4.C.1.2.1: Identify points, lines, line segments or rays.

City Tour (Coordinates)
Elevator Operator (Line Graphs)

M4.C.2: Identify and/or apply concepts of transformations or symmetry.

M4.C.2.1: Apply the concepts of reflection and symmetry.

M4.C.2.1.1: Identify or create figures that have one, two or no lines of symmetry.

Quilting Bee (Symmetry)

M4.C.3: Locate and describe relationships using the coordinate plane.

M4.C.3.1: Locate points on a simple grid.

M4.C.3.1.1: Match or plot the ordered pair with the appropriate point (or object) on a simple grid.

City Tour (Coordinates)

M4.D: Algebraic Concepts

M4.D.1: Demonstrate an understanding of patterns, relations and functions.

M4.D.1.1: Recognize, describe, extend, create and/or replicate a variety of patterns.

M4.D.1.1.1: Extend or find a missing element in a numerical or geometric pattern (+, - or x may be used - numerical patterns must be whole numbers).

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

M4.D.1.1.2: Identify/describe the rule for a numerical or geometric pattern shown (+, - or x may be used - numerical patterns must be whole numbers).

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

M4.D.1.1.3: Create or replicate a numerical or geometric pattern showing 3 repetitions (+, - or x may be used - numerical patterns must be whole numbers or money).

Pattern Flip (Patterns)

M4.D.1.2: Apply simple function rules.

M4.D.1.2.1: Determine the missing elements in a function table (functions may use +, - or x and whole numbers or money).

Function Machines 1 (Functions and Tables)

M4.D.1.2.2: Determine the rule for a function given a table (functions may use +, - or x and whole numbers).

Function Machines 1 (Functions and Tables)

M4.E: Data Analysis and Probability

M4.E.1: Formulate questions that can be addressed with data and/or collect, organize, display and analyze data.

M4.E.1.1: Interpret data shown on tables, charts, line graphs, bar graphs or pictographs.

M4.E.1.1.1: Describe, interpret and/or answer questions based on data shown in tables, charts, bar graphs or pictographs.

Forest Ecosystem
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)

M4.E.1.2: Organize or display data using tables, bar graphs, line graphs or pictographs.

M4.E.1.2.1: Graph data or complete a graph given the data (bar graph or pictograph - grid is provided).

Forest Ecosystem
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)

M4.E.1.2.2: Translate information from one type of display to another (table, chart, bar graph, or pictograph).

Forest Ecosystem
Reaction Time 1 (Graphs and Statistics)