6: Number and Number Sense

6.2: The student will

6.2.a: investigate and describe fractions, decimals, and percents as ratios;

Beam to Moon (Ratios and Proportions)
Part-to-part and Part-to-whole Ratios
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Proportions and Common Multipliers

6.2.b: identify a given fraction, decimal, or percent from a representation;

Comparing and Ordering Decimals
Estimating Sums and Differences
Fraction Artist 1 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Proportions and Common Multipliers
Toy Factory (Set Models of Fractions)
Treasure Hunter (Decimals on the Number Line)

6.2.c: demonstrate equivalent relationships among fractions, decimals, and percents; and

Modeling Decimals (Area and Grid Models)
Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals

6.2.d: compare and order fractions, decimals, and percents.

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Comparing and Ordering Decimals
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Rational Numbers, Opposites, and Absolute Values
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Toy Factory (Set Models of Fractions)
Treasure Hunter (Decimals on the Number Line)

6.3: The student will

6.3.b: order and compare integers; and

Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

6.3.c: identify and describe absolute value of integers.

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

6.4: The student will demonstrate multiple representations of multiplication and division of fractions.

Dividing Fractions
Dividing Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers

6.5: The student will investigate and describe concepts of positive exponents and perfect squares.

Operations with Radical Expressions
Square Roots

6.6: The student will

6.6.a: multiply and divide fractions and mixed numbers; and

Dividing Fractions
Dividing Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers

6.6.b: estimate solutions and then solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of fractions.

Dividing Mixed Numbers
Estimating Sums and Differences
Fractions with Unlike Denominators
Improper Fractions and Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers

6.7: The student will solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of decimals.

Multiplying with Decimals
Sums and Differences with Decimals

6.8: The student will evaluate whole number numerical expressions, using the order of operations.

Order of Operations

6.10: The student will

6.10.c: solve practical problems involving area and perimeter; and

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

6.10.d: describe and determine the volume and surface area of a rectangular prism.

Balancing Blocks (Volume)
Prisms and Cylinders
Surface and Lateral Areas of Prisms and Cylinders

6.11: The student will

6.11.a: identify the coordinates of a point in a coordinate plane; and

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations
Slope

6.11.b: graph ordered pairs in a coordinate plane.

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Points in the Coordinate Plane
Points, Lines, and Equations
Slope

6.12: The student will determine congruence of segments, angles, and polygons.

Constructing Congruent Segments and Angles
Rock Art (Transformations)
Triangle Angle Sum

6.14: The student, given a problem situation, will

6.14.a: construct circle graphs;

Graphing Skills

6.14.b: draw conclusions and make predictions, using circle graphs; and

Graphing Skills

6.14.c: compare and contrast graphs that present information from the same data set.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)

6.15: The student will

6.15.a: describe mean as balance point; and

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

6.15.b: decide which measure of center is appropriate for a given purpose.

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

6.16: The student will

6.16.a: compare and contrast dependent and independent events; and

Independent and Dependent Events

6.16.b: determine probabilities for dependent and independent events.

Independent and Dependent Events
Theoretical and Experimental Probability

6.17: The student will identify and extend geometric and arithmetic sequences.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences

6.19: The student will investigate and recognize

6.19.a: the identity properties for addition and multiplication;

Solving Algebraic Equations I

6.19.c: the inverse property for multiplication.

Solving Algebraic Equations I

6.20: The student will graph inequalities on a number line.

Absolute Value Equations and Inequalities
Compound Inequalities
Solving Linear Inequalities in One Variable