1: The student will use algebraic methods to describe patterns, simplify and write algebraic expressions and equations, and solve simple equations in a variety of contexts.

1.1: Generalize and extend patterns and functions using tables, graphs, and number properties (e.g., number sequences, prime and composite numbers, recursive patters like the Fibonacci numbers).

Arithmetic Sequences
Arithmetic and Geometric Sequences
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Geometric Sequences
Introduction to Functions
Points, Lines, and Equations

1.2: Write algebraic expressions and simple equations that correspond to a given situation.

Compound Interest
Linear Inequalities in Two Variables
Using Algebraic Expressions

1.3: Use substitution to simplify and evaluate algebraic expressions (e.g., if x = 5 evaluate 3 - 5x).

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II

1.4: Write and solve one-step equations with one variable using number sense, the properties of operations, and the properties of equality (e.g., 1/3x = 9).

Modeling One-Step Equations
Solving Algebraic Equations II
Solving Equations on the Number Line

2: The student will use numbers and number relationships to solve a variety of problems. The student will estimate and compute with integers, fractions, and decimals.

2.1: Convert compare, and order decimals, fractions, and percents using a variety of methods.

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)
Percents, Fractions, and Decimals
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)

2.2: Number Operations

2.2.a: Multiply and divide fractions and mixed numbers to solve problems using a variety of methods.

Dividing Fractions
Dividing Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers

2.2.b: Multiply and divide decimals with one- or two-digit multipliers or divisors to solve problems.

Multiplying Decimals (Area Model)

2.2.c: Estimate and find solutions to single and multi-step problems using whole numbers, decimals, fractions, and percents (e.g., 7/8 + 8/9 is about 2, 3.9 + 5.3 is about 9).

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Dividing Fractions
Dividing Mixed Numbers
Estimating Sums and Differences
Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators
Improper Fractions and Mixed Numbers
Modeling Fractions (Area Models)
Multiplying Decimals (Area Model)
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Sums and Differences with Decimals

2.2.d: Use the basic operations on integers to solve problems.

Adding on the Number Line
Addition of Polynomials

2.2.e: Build and recognize models of multiples to develop the concept of exponents and simplify numerical expressions with exponents and parentheses using order of operations.

Finding Factors with Area Models
Order of Operations

4: The student will use measurements within the metric and customary systems to solve problems in a variety of contexts.

4.1: Use formulas to find the circumference and area of circles in terms of pi.

Circumference and Area of Circles

4.2: Convert, add, or subtract measurements within the same system to solve problems (e.g., 9 feet 8 inches + 3 feet 6 inches, 150 minutes = __ hours and __ minutes, 6 square inches = __ square feet).

Unit Conversions

5: The student will use data analysis, probability, and statistics to interpret data in a variety of contexts.

5.1: Organize, construct displays, and interpret data to solve problems (e.g., data from student experiments, tables, diagrams, charts, graphs).

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

5.3: Find the measures of central tendency (mean, median, mode, and range) of a set of data (with and without outliers) and understand why a specific measure provides the most useful information in a given context.

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