Segment A of Mathematics 6 will teach students to apply place value concepts to order and compare decimals, and use the number line to order and compare decimals, fractions, and mixed numbers. Topics include how to apply the associative, commutative, and distributive and/or identity properties to write equivalent forms of expressions, model and compare values of whole numbers, mixed numbers, fractions, and decimals, and apply number theory concepts to calculate the GCF (Greatest Common Factor) and/or LCM (Least Common Multiple) of two numbers. Students will learn to represent whole numbers, fractions, mixed numbers, decimals, and percent in equivalent forms, as well as develop, analyze, and apply the meaning of ratio, rate, and percent to solve problems.

In Segment B of Mathematics 6, students will learn that patterns exhibit relationships that can be extended, described, and generalized. Relations and functions are mathematical relationships that can be represented and analyzed using words, tables, graphs, and equations. Measures can be estimated by using known referents, and can represent mathematical situations and structures in many equivalent forms. Some questions can be answered by collecting, representing, and analyzing data, and the question to be answered determines the data to be collected, how best to collect it, and how best to represent it. Numerical measures describe the center and spread of numerical data.

**PRE-REQUISITES:** Math 5

**ESTIMATED COMPLETION TIME:** 32-36 weeks or approximately 125 – 135 hours

**MAJOR TOPICS AND CONCEPTS — SEGMENT A **

Numbers, Expressions, and Equations

- Place Value and Exponents
- Rounding and Estimating Numbers
- Order of Operations
- Variables and Expressions
- Properties of Equality
- Solving Equations with Whole Numbers

Decimals, Numbers, & Fraction Concepts

- Understanding, Comparing, Rounding, and Estimating Decimals
- Decimal Computation
- Applications with Decimals
- Factors, Multiples, and Divisibility
- Prime Numbers, GCF, and LCM
- Fraction Concepts

Focus on Fractions

- Adding and Subtracting Fractions
- Adding and Subtracting Mixed Numbers
- Multiplying Fractions
- Dividing Fractions
- Expressions with Fractions
- Solving Equations with Fractions

Ratio, Rates, and Proportions

- Understanding Ratios
- Equal Ratios
- Rates and Unit Rates
- Understanding Proportions
- Solving Proportions
- Similarity and Scale Drawings
- Percent

**MAJOR TOPICS AND CONCEPTS — SEGMENT B**

Patterns, Rules, and Tables

- Recognizing Patterns
- Completing Patterns
- Patterns and Rules • Equations from Patterns • Input/Output Charts
- X/Y Tables and Equations

Geometry and Measurement

- 1, 2, and 3 Dimensional Shapes
- Identify Angles and Triangles
- Angle Properties of Triangles and Quadrilaterals
- Perimeter of Polygons
- Area of Squares and Rectangles
- Area of Circles
- Circumference of Circles
- Polygons on the Coordinate Plane

Statistics and Data Displays

- Sampling and Statistics
- Mean, Median, Mode, and Range
- Frequency Tables and Line Plots
- Line and Bar Graphs
- Histograms
- Circle Graphs
- Stem and Leaf Plots
- Box and Whisker Plots

Probability and Predictions

- The Counting Principle and Sample Space
- Probability as a Fraction, Decimal, or Percent.
- Tree Diagrams
- Permutations and Combinations
- Experimental Probability

**LINKS TO FULL COURSE CURRICULUM MAPS**