NO: Number and Operations

NO.1: Students shall understand numbers, ways of representing numbers, relationships among numbers and number systems.

NO.1.1: Demonstrate conceptual understanding to find a specific percent of a number, using models, real-life examples, or explanations

Percent of Change
Percents and Proportions

NO.1.2: Find decimal and percent equivalents for proper fractions and explain why they represent the same value

Modeling Decimals (Area and Grid Models)
Percents, Fractions, and Decimals

NO.1.3: Round and compare decimals to a given place value including thousandths

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)

NO.1.4: Convert, compare and order fractions (mixed numbers and improper fractions) decimals and percents and find their approximate locations on a number line

Modeling Decimals (Area and Grid Models)
Percents, Fractions, and Decimals

NO.1.5: Recognize and identify perfect squares and their square roots

Operations with Radical Expressions
Square Roots

NO.2: Students shall understand meanings of operations and how they relate to one another.

NO.2.1: Use divisibility rules to determine if a number is a factor of another number (4, 6, 9)

Factor Trees (Factoring Numbers)

NO.2.3: Apply the addition, subtraction, multiplication and division properties of equality to onestep equations with whole numbers

Modeling One-Step Equations
Solving Algebraic Equations II

NO.2.4: Apply rules (conventions) for order of operations to whole numbers with and without parentheses

Order of Operations

NO.3: Students shall compute fluently and make reasonable estimates.

NO.3.1: Apply, with and without appropriate technology, algorithms with computational fluency to perform whole number operations (+, -, x, /)

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Sums and Differences with Decimals

NO.3.3: Solve, with and without appropriate technology, multistep problems using a variety of methods and tools (i.e., objects, mental computation, paper and pencil)

Estimating Sums and Differences

NO.3.4: Estimate reasonable solutions to problem situations involving fractions and decimals

Estimating Sums and Differences
Multiplying Decimals (Area Model)

NO.3.7: Determine the percent of a number and solve related problems in real world situations

Percent of Change
Percents and Proportions
Polling: Neighborhood

A: Algebra

A.1: Students shall recognize, describe and develop patterns, relations and functions.

A.1.1: Solve problems by finding the next term or missing term in a pattern or function table using real world situations

Finding Patterns

A.2: Students shall represent and analyze mathematical situations and structures using algebraic symbols.

A.2.1: Model, write and solve onestep equations by informal methods using manipulatives and appropriate technology

Solving Equations on the Number Line

A.2.2: Write simple algebraic expressions using appropriate operations (+, -, x, /) with one variable

Using Algebraic Expressions

A.2.3: Evaluate algebraic expressions with one variable using appropriate properties and operations (+, -, x, /)

Equivalent Algebraic Expressions I

G: Geometry

G.1: Students shall analyze characteristics and properties of 2 and 3 dimensional geometric shapes and develop mathematical arguments about geometric relationships.

G.1.3: Identify, describe, draw, and classify triangles as equilateral, isosceles, scalene, right, acute, obtuse, and equiangular

Classifying Triangles
Pythagorean Theorem with a Geoboard

G.1.5: Identify similar figures and explore their properties

Circles
Similarity in Right Triangles

G.3.1: Identify and describe line and rotational symmetry in twodimensional shapes, patterns and designs

Holiday Snowflake Designer
Quilting Bee (Symmetry)

G.3.2: Describe positions and orientations of shapes under transformation (translation, reflection and rotation) recognizing the size and shape do not change

Rock Art (Transformations)
Rotations, Reflections, and Translations

G.4: Students shall specify locations and describe spatial relationships using coordinate geometry and other representational systems.

G.4.1: Use ordered pairs to plot points in Quadrant I

City Tour (Coordinates)
Points in the Coordinate Plane

G.5: Students shall use visualization, spatial reasoning and geometric modeling.

G.5.1: Identify two-dimensional patterns (nets) for threedimensional solids, such as prisms, pyramids, cylinders, and cones

Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

M: Measurement

M.1: Students shall use attributes of measurement to describe and compare mathematical and real-world objects.

M.1.2: Make conversions within the same measurement system in real world problems

Unit Conversions

M.2: Students shall identify and use units, systems and processes of measurement.

M.2.1: Solve real world problems involving one elapsed time, counting forward and backward (calendar and clock)

Elapsed Time

M.2.4: Establish and apply formulas to find area and perimeter of triangles, rectangles, and parallelograms

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

DAP: Data Analysis and Probability

DAP.1: Students shall formulate questions that can be addressed with data and collect, organize and display relevant data to answer them.

DAP.1.1: Formulate questions, design studies, and collect data about a characteristic shared by two populations or different characteristics within one population

Polling: City
Polling: Neighborhood
Populations and Samples
Real-Time Histogram

DAP.1.2: Collect data and select appropriate graphical representations to display the data including Venn diagrams

Box-and-Whisker Plots
Compound Inequalities
Describing Data Using Statistics
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 2 (Graphs and Statistics)
Stem-and-Leaf Plots

DAP.1.3: Construct and interpret graphs, using correct scale, including line graphs and double-bar graphs

Elevator Operator (Line Graphs)
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Stem-and-Leaf Plots

DAP.2: Students shall select and use appropriate statistical methods to analyze data.

DAP.2.1: Interpret graphs such as double line graphs and circle graphs

Elevator Operator (Line Graphs)
Graphing Skills
Prairie Ecosystem

DAP.2.2: Compare and interpret information provided by measures of central tendencies (mean, median and mode) and measures of spread (range)

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Sight vs. Sound Reactions
Stem-and-Leaf Plots

DAP.3: Students shall develop and evaluate inferences and predictions that are based on data.

DAP.3.1: Use observations about differences in data to make justifiable inferences

Polling: City
Real-Time Histogram

DAP.4: Students shall understand and apply basic concepts of probability.

DAP.4.1: Distinguish between theoretical and experimental probability

Geometric Probability
Independent and Dependent Events
Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability