1. Whole Numbers

• Place Value
• Standard and Word Form
• Rounding large Numbers
• Comparing and Ordering Numbers
• Estimating Sums and Differences
• Addition Facts and Subtraction Facts
• Problem Solving: Deciding when to Add or Subtract
• Multiplying Whole Numbers
• Multiplying Facts
• Estimating Products
• Using Mental math to Multiply
• Deciding When to Multiply
• Dividing Whole Numbers
• Division Facts
• Estimating Quotients
• Deciding When to Divide
1. Decimals
   • Introduction to Decimals
   • Reading and Writing decimals
   • Equivalent Decimals and Writing a Decimal as a Fraction
   • Comparing and Ordering Decimals
   • Rounding Decimals
   • Estimating Sums and Differences
   • Adding Decimals
   • Subtracting Decimals
   • Multiplying Decimals
   • Multiplying a Whole Number by a Decimal
   • Multiplying a Decimal by 10,100, or 1,000
   • Adding, Subtracting, and Multiplying Money
   • Dividing Decimals
   • Dividing a Decimal by a Whole Number
   • Dividing a Decimal by 10, 100, and 1,000
   • Finding Averages
   • Estimating Quotient
   • Dividing a Whole Number by a Decimal
   • Dividing a Decimal by a Decimal
2. Number Theory and Fraction Concepts
   • Factors and Divisibility
   • Factors and Multiples
   • Primes and Composites
   • Exponents
   • Prime Factorization with Exponents
   • Greatest Common factor
   • Least Common Multiple
   • Drawing Diagrams
   • Introduction to Fractions
   • Writing a Fraction as Part of a Set or Part of a Whole
   • Estimating Fractional Amounts
   • Equivalent Fractions
   • Simplest Form
   • Writing Fractions with the Least Common denominator
   • Fractions, Mixed Numbers, and Decimals
   • Improper Fractions and Mixed Numbers
   • Improper Fractions, Quotients, and Mixed Numbers
   • Comparing and Ordering Fractions and Mixed Numbers
   • Writing Equivalent Fractions and Decimals
   • Dividing to Change a Fraction to a Decimal
3. Operations with Fractions
   • Adding and Subtracting Fractions
   • Adding Fractions with Like Denominators
   • Adding Fractions with Unlike Denominators
   • Adding Mixed Numbers
   • Subtracting Fractions
   • Subtracting Mixed Numbers with Like Denominators
   • Subtracting Mixed Numbers with Unlike Denominators
   • Multiplying Fractions
   • Estimating Products
   • Multiplying Fractions
   • Multiplying a Fraction by a Whole Number
   • Multiplying Mixed Numbers
   • Overestimating and Underestimating
   • Estimating Quotients
   • Dividing a Whole Number by a Fraction
   • Dividing Fractions
   • Dividing a Fraction by a Whole Number
   • Dividing Mixed Numbers
4. Geometry

·      Lines and Polygons

·      Parallel and Perpendicular Lines

·      Midpoints and Bisectors

·      Polygons

·      Find a Pattern

·      Triangles and Quadrilaterals

·      Triangles

·      Classifying Triangles

·      Diagonals and Angles of Quadrilaterals

·      Transformation and 3-D Geometry

·      Congruent Triangles

·      Slides, Flips, and Turns

·      Line Symmetry

·      Lines and Planes in Space

·      Prisms and Pyramids

6. Ratio, Proportion, and Percent

·      Ratios

·      Equal Ratios

·      Rates and Unit Rates

·      Meaning of Proportion

·      Cross Products in Proportions

·      Solving Proportions Using Cross Products

·      Similar Figures

·      Scale Drawings

·      Percent

·      Meaning of Percent

·      Fractions, decimals, Percent

·      Finding a Percent of a Number

·      Using Mental math to Find a percent of a Number

·      Estimating Percents

·      Percents greater Than 100 or Less Than 1

·      Applications of Percent

·      Interest

·      Finding Percent

·      Finding Base

·      Percent of Increase and Decrease

7. Measurement

·      Metrics Units of Length

·      Metrics Units of Mass and Capacity

·      Converting Units in the Customary System

·      Converting Rates

·      Computing with Customary Measures

·      Computing with Time

·      Perimeter and Area

·      Perimeter

·      Area of Rectangles and Squares

·      Area of Triangles

·      Area of Parallelograms and Trapezoids

·      Area of Compound Shapes

·      Changing Dimensions and Effect on Area and Perimeter

·      Pi and Circumference

·      Area of Circles

·      Surface Area and Volume

·      Surface Area of Prisms

·      Surface area of Cylinders

·      Volume of rectangular Prisms

·      Choosing Between Surface Area and Volume

·      Connecting Volume, Mass, and Capacity

·      Converting Between Measurement Systems

·      Volume of Triangular Prisms and Cylinders

8. Pre-Algebra Basics

·      Integers

·      Integers on the Number Line

·      Absolute Value

·      Comparing and Ordering Integers

·      Addition of Integers

·      Subtraction of Integers

·      Multiplication of Integers

·      Division of Integers

·      Operations With Integers

·      Expressions and Equations

·      Order of Operations

·      Translating Words to Algebraic Expressions

·      Evaluating Algebraic Expressions

·      Order of Operations with Parentheses

·      Solving 1-step Equations

·      Solving 2-step Equations

·      The Coordinate Plane

·      Rational Numbers and Exponents

·      Defining and Comparing rational Numbers

·      Computing with Rational Numbers

·      Solving Equations with Rational Numbers

·      Exponents and Square Roots

·      Evaluating Expressions with Exponents

·      The Pythagorean Theorem