MA6.1: Students use numbers, number sense, and number relationships in a problem-solving situation.

MA6.1.1: Students use the concept of place value to read and write decimals (to 1000ths) in words, standard, and expanded form.

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

MA6.1.2: Students multiply decimals (10ths & 100ths) and divide whole numbers by 2-digit divisors and divide decimals by whole numbers.

Multiplying Decimals (Area Model)
Multiplying with Decimals

MA6.1.3: Students represent the number line using integers.

Adding and Subtracting Integers
Adding on the Number Line
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

MA6.1.4: Students explain their choice of estimation and problem solving strategies and justify results when performing number operations with fractions and decimals in problem-solving situations.

Modeling Fractions (Area Models)

MA6.1.5: Students identify prime and composite numbers and apply prime factorization to numbers less than 100.

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Finding Factors with Area Models

MA6.1.6: Students demonstrate an understanding of fractions and decimals by:

MA6.1.6.b: converting between mixed numbers and improper fractions;

Dividing Mixed Numbers
Fractions Greater than One (Fraction Tiles)
Improper Fractions and Mixed Numbers
Multiplying Mixed Numbers

MA6.1.6.c: simplifying fractions and mixed numbers;

Adding Fractions (Fraction Tiles)
Estimating Sums and Differences
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Multiplying Fractions
Toy Factory (Set Models of Fractions)

MA6.1.6.d: writing fractions in equivalent forms;

Adding Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators
Improper Fractions and Mixed Numbers
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

MA6.1.6.e: using parts of a set;

Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

MA6.1.6.g: converting between decimals (from .01 to .99), fractions and representing percentages.

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

MA6.1.7: Students add and subtract mixed numbers with like denominators.

Adding Fractions (Fraction Tiles)
Estimating Sums and Differences
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators
Improper Fractions and Mixed Numbers
Modeling Fractions (Area Models)
Rational Numbers, Opposites, and Absolute Values
Toy Factory (Set Models of Fractions)

MA6.2: Students apply geometric concepts, properties, and relationships in a problem-solving situation.

MA6.2.1: Students classify, describe, compare, and draw representations of 1- and 2- dimensional objects and angles.

Classifying Triangles

MA6.3: Students use a variety of tools and techniques of measurement in a problem-solving situation.

MA6.3.4: Students demonstrate relationships within the U.S. customary units for weight and capacity and within the metric system (centimeters to meters) in problem-solving situations.

Unit Conversions

MA6.3.5: Students determine the area and perimeter of regular polygons and the area of parallelograms, with and without models.

Area of Parallelograms
Area of Triangles
Perimeter and Area of Rectangles

MA6.4: Students use algebraic methods to investigate, model, and interpret patterns and functions involving numbers, shapes, data, and graphs in a problem-solving situation.

MA6.4.1: Students recognize, describe, extend, create, and generalize patterns, such as numeric sequences, by using manipulatives, numbers, graphic representations, including charts and graphs.

Graphing Skills
Stem-and-Leaf Plots

MA6.5: Students use data analysis and probability to analyze given situations and the results of experiments.

MA6.5.1: Students systematically collect, organize, and describe/represent numeric data using line graphs.

Elevator Operator (Line Graphs)
Graphing Skills

MA6.5.2: Students, given a scenario, recognize and communicate the likelihood of events using concepts from probability (i.e., impossible, equally likely, certain) appropriate to grade level.

Geometric Probability
Independent and Dependent Events
Theoretical and Experimental Probability