Fabulous Fractions (4-6)
Using five hands-on models to give students the conceptual foundation for developing meaning and understanding of fractions.

Understand fair shares
Recognize fractional numbers as equal parts of a whole and as equal parts of a group or set
Recognize and understand the values and meaning of the numerator and denominator
Understand the relative size of fractions
Recognize and name equivalent fractions

Materials: Fabulous Fractions book, Unit Square Transparency, Fraction Circle Model, Fraction Fringe, Plastic Pattern Blocks, Fraction Pattern Blocks

Geometry (6-9)
Using hands-on experiences of paper cutting, geoboards, puzzles, sorting, covering, and filling to help students understand geometric formulas and dimensions.

Area and perimeter formulas for two-dimensional figures
Sorting two- and three-dimensional figures
Pythagorean relationship

Materials: Looking at Geometry book, Wooden Cubes, Overhead Geoboard, Power Solids

Investigations with Integers (6-9)
Develop an understanding of integers using different models

Learn to add, subtract, multiply and divide integers
Understand "why" answers are positive or negative
Directional models, value models and playful practice

Materials: Positive vs Negative: Investigations with Integers book, Tile Spacers, one additional AIMS publication

Linear Equations (6-9)
Using science investigations, business situations, and geometric patterns as the context for studying linear patterns known as algebraic linear functions.

Use real-world situations to help students organize data, graph ordered pairs, and write rules.

Materials: Looking at Lines book, 3 x 5 Mirrors, Wooden Cubes

Marvelous Multiplication (4-6)
Helping students master the concepts and operations of multiplication and division.

Master the concept of place value at concrete and representational stages
Develop meaning for multiplication and division at concrete and representational stages
Use models and algorithms to construct understanding
Explore historical connections and alternate ways to multiply and divide
Practice basic facts to achieve 100% mastery

Materials: Marvelous Multiplication/Dazzling Division book, AIMS Base Ten Blocks, Multiplication Facts Chart, 2-cm Area Tiles

Multiplication the Algebra Way (6-9)
Using the familiar context of arithmetic to introduce and reinforce key concepts, with emphasis on the distributive property, integers, and pattern generalization.

Focus on the distributive property as it bridges arithmetic to algebra
Connect expanded notation and algebraic expressions
Explore multiple representations of integers
Model addition and subtraction of integers
Incorporate integers in algebraic expressions and equations

Materials: Multiplication the Algebra Way book, Base Ten Set, Fractional Transparencies

Proportional Reasoning (6-9)
Using manipulatives and visual representations to discover patterns and master proportional reasoning.

Engage students with aerial photography and shrinking plastic to apply proportional reasoning skills
Help students use prior knowledge of fractions to enter the symbolic world of algebra

Materials: Proportional Reasoning book, 30-meter Fiberglass Tape, Fraction Pattern Blocks

Solving Equations (6-9)
Exploring the big ideas of equality and inverse operations that are needed for solving equations through the varied contexts of hunting treasure, maintaining inventories, and exploring magic tricks.

Use hands-on methods to solve equations
Teach students to transition from concrete to abstract solution methods

Materials: Solving Equations book and DVD, Balance, Algebra Blocks