1: Number Concepts/Number and Relationship Operations

1.1: Students will demonstrate number sense and apply number theory concepts.

1.1.1: demonstrate an understanding of number meanings with respect to whole numbers, fractions and decimals

Comparing and Ordering Decimals
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)
Percents, Fractions, and Decimals
Sums and Differences with Decimals
Toy Factory (Set Models of Fractions)
Treasure Hunter (Decimals on the Number Line)

1.1.2: explore integers, ratios and percents in common, meaningful situations

Beam to Moon (Ratios and Proportions) - Metric
Estimating Population Size
Fraction, Decimal, Percent (Area and Grid Models)
Integers, Opposites, and Absolute Values
Part-to-part and Part-to-whole Ratios
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Proportions and Common Multipliers
Real-Time Histogram
Road Trip (Problem Solving)

1.1.3: read and write whole numbers and decimals and demonstrate an understanding of place value (to millions and to thousandths)

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cannonball Clowns (Number Line Estimation)
Comparing and Ordering Decimals
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Rounding Whole Numbers (Number Line)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Sums and Differences with Decimals
Target Sum Card Game (Multi-digit Addition)
Treasure Hunter (Decimals on the Number Line)

1.1.4: order whole numbers, fractions and decimals and represent them in multiple ways

Comparing and Ordering Decimals
Equivalent Fractions (Fraction Tiles)
Estimating Sums and Differences
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)
Percents, Fractions, and Decimals
Proportions and Common Multipliers
Rational Numbers, Opposites, and Absolute Values
Toy Factory (Set Models of Fractions)
Treasure Hunter (Decimals on the Number Line)

1.2: Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.

1.2.2: model problem situations involving the addition and subtraction of simple fractions

Fraction Artist 2 (Area Models of Fractions)

1.2.4: apply computational facts and procedures (algorithms) in a wide variety of problem situations involving whole numbers and decimals

Multiplying Decimals (Area Model)

2: Patterns and Relations

2.1: Students will explore, recognize, represent and apply patterns and relationships, both informally and formally.

2.1.1: describe, extend and create a wide variety of patterns and relationships to model and solve problems involving real-world situations and mathematical concepts

Arithmetic Sequences
Geometric Sequences
Pattern Flip (Patterns)

2.1.3: represent mathematical patterns and relationships in a variety of ways (including rules, tables and one- and two-dimensional graphs)

Fraction, Decimal, Percent (Area and Grid Models)
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Pattern Finder
Points, Lines, and Equations

2.1.4: solve linear equations using informal, non-algebraic methods

Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations by Graphing Each Side
Solving Two-Step Equations

3: Shape and Space

3.1: Students will demonstrate an understanding of and apply concepts and skills associated with measurement.

3.1.1: extend understanding of measurement concepts and attributes to include volume, temperature, perimeter and angle

Balancing Blocks (Volume)
Fido's Flower Bed (Perimeter and Area)
Perimeter and Area of Rectangles
Pyramids and Cones

3.1.2: communicate using standard units, understand the relationship among commonly used SI units (e.g., mm, cm, m, km) and select appropriate units in given situations

Cannonball Clowns (Number Line Estimation)
Unit Conversions

3.1.3: estimate and apply measurement concepts and skills in relevant problem situations and select and use appropriate tools and units

Estimating Population Size

3.2: Students will demonstrate spatial sense and apply geometric concepts, properties and relationships.

3.2.1: identify, draw and build physical models of geometric figures

Classifying Quadrilaterals

3.2.2: describe, model and compare 2- and 3-D figures and shapes, explore their properties and classify them in alternative ways

Classifying Quadrilaterals
Classifying Triangles

3.2.3: investigate and predict the results of transformations and begin to use them to compare shapes and explain geometric concepts (e.g., symmetry and similarity)

Circles
Holiday Snowflake Designer
Rock Art (Transformations)
Rotations, Reflections, and Translations

3.2.4: solve problems using geometric relationships and spatial reasoning

3D and Orthographic Views

4: Data Management and Probability

4.1: Students will solve problems involving the collection, display and analysis of data.

4.1.1: collect, organize and describe relevant data in multiple ways

Box-and-Whisker Plots
Describing Data Using Statistics
Graphing Skills
Polling: City
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

4.1.2: construct a variety of data displays (including tables, charts and graphs) and consider their relative appropriateness

Box-and-Whisker Plots
Distance-Time Graphs - Metric
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 2 (Graphs and Statistics)
Stem-and-Leaf Plots

4.1.3: read, interpret, and make and modify predictions from displays of relevant data

Box-and-Whisker Plots
Graphing Skills
Reaction Time 2 (Graphs and Statistics)
Stem-and-Leaf Plots

4.1.4: develop and apply measures of central tendency (mean, median and mode)

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

4.1.5: formulate and solve simple problems (both real-world and from other academic disciplines) that involve the collection, display and analysis of data and explain conclusions which may be drawn

Conditional Statements
Describing Data Using Statistics
Estimating Population Size
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 2 (Graphs and Statistics)

4.2: Students will represent and solve problems involving uncertainty.

4.2.1: explore, interpret and make conjectures about everyday probability situations by estimating probabilities, conducting experiments, beginning to construct and conduct simulations, and analyzing claims which they see and hear

Independent and Dependent Events

4.2.2: determine theoretical probabilities using simple counting techniques

Probability Simulations