1: Students develop number sense and use numbers and number relationships in problem-solving situations and communicate the reasoning used in solving these problems.

1.1: demonstrate meanings for whole numbers, and commonly used fractions and decimals (for example, 1/3, 3/4, 0.5, 0.75), and represent equivalent forms of the same number through the use of physical models, drawings, calculators, and computers;

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)

1.2: read and write whole numbers and know place-value concepts and numeration through their relationships to counting, ordering, and grouping;

Cannonball Clowns (Number Line Estimation)
Modeling Whole Numbers and Decimals (Base-10 Blocks)

2: Students use algebraic methods to explore, model, and describe patterns and functions involving numbers, shapes, data, and graphs in problem-solving situations and communicate the reasoning used in solving these problems.

2.2: describe patterns and other relationships using tables, graphs, and open sentences;

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Pattern Flip (Patterns)

2.3: recognize when a pattern exists and use that information to solve a problem; and

Pattern Finder

3: Students use data collection and analysis, statistics, and probability in problem-solving situations and communicate the reasoning used in solving these problems.

3.1: construct, read, and interpret displays of data including tables, charts, pictographs, and bar graphs;

Forest Ecosystem
Graphing Skills
Reaction Time 1 (Graphs and Statistics)

3.2: interpret data using the concepts of largest, smallest, most often, and middle;

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

3.3: generate, analyze, and make predictions based on data obtained from surveys and chance devices; and

Reaction Time 2 (Graphs and Statistics)
Spin the Big Wheel! (Probability)

4: Students use geometric concepts, properties, and relationships in problem-solving situations and communicate the reasoning used in solving these problems.

4.1: recognize shapes and their relationships (for example, symmetry, congruence) using a variety of materials (for example, pasta, boxes, pattern blocks);

Classifying Quadrilaterals

4.2: identify, describe, draw, compare classify, and build physical models of geometric figures;

Classifying Quadrilaterals

5: Students use a variety of tools and techniques to measure, apply the results in problem-solving situations, and communicate the reasoning used in solving these problems.

5.5: select and use appropriate standard and non-standard units of measurement in problem-solving situations.

Cannonball Clowns (Number Line Estimation)

6: Students link concepts and procedures as they develop and use computational techniques, including estimation, mental arithmetic, paper-and-pencil, calculators, and computers, in problem-solving situations and communicate the reasoning used in solving these problems.

6.1: demonstrate conceptual meanings for the four basic arithmetic operations of addition, subtraction, multiplication, and division;

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)
Factor Trees (Factoring Numbers)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Multiplying Decimals (Area Model)
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)
Target Sum Card Game (Multi-digit Addition)

6.2: add and subtract commonly-used fractions and decimals using physical models (for example, 1/3, 3/4, 0.5, 0.75);

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

6.3: demonstrate fluency with basic addition, subtraction, multiplication, and division facts without the use of a calculator;

Critter Count (Modeling Multiplication)

6.4: construct, use, and explain procedures to compute and estimate with whole numbers; and

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)

6.5: select and use appropriate algorithms for computing with whole numbers in problem-solving situations.

No Alien Left Behind (Division with Remainders)