MATH

Grade 6

COURSE DESCRIPTION-6th Grade Math

The focus of the sixth grade mathematics curriculum is on rational numbers. Communication and problem solving skills are interspersed throughout the curriculum. The program begins with a review of concepts and skills involving whole numbers and their applications.  It is followed by the instructional units listed below.

Decimals and Whole Numbers

• Place Value

• Reading, Writing, Comparing and Ordering Decimals

• Estimating Sums, Differences, Products and Quotients

• Order of Operations

• Adding and Subtracting

• Multiplying by Powers of Ten

• Dividing Decimals by Whole Numbers and Decimals, including Terminating and Repeating Decimals

• Using Exponents

• Finding Area of Triangles and Parallelograms

• Finding Circumference and Area of Circles

• Rounding

Statistics

• Measures of Central Tendency-Mean, Median, Mode

• Effects of Change on Data

• Creating Line, Double Bar, and Stem and Leaf Plots

• Analyzing Line, Double Bar, Stem and Leaf Plots, and Circle Graphs

• Making Predictions form Graphs

• Misleading Statistics

• Simple Probability

Equation Solving

• Plan for Problem Solving

• Reading and Writing Expressions

• Solving Addition and Subtraction Equations Using Inverse Operations

• Solving Multiplication and Division Equations Using Inverse Operations

• Solving One Step Algebraic Equations

• Using Variables

• Exploring Situations with Two Variables

Number Theory

• Divisibility Rules for 2, 3, 5, 6, 9, 10

• Primes and Prime Factorization

• Lowest Common Multiple (LCM)

• Greatest Common Factor (GCF)

Fractions

• Fractional Parts of Numbers

• Equivalent Fractions, Decimals and Percents

• Mixed Numbers and Improper Fractions

• Ordering Mixed Numbers and Decimals

• Estimating Sums and Differences

• Writing Rational Numbers as Fractions, Decimals, and Percents

• Adding and Subtracting Fractions, Mixed Numbers, and Whole Numbers

• Pictorial Representations of Fractions

• Multiplying Fractions and Mixed Numbers

• Dividing Fractions and Mixed Numbers Using Reciprocals

• Relating Fractional Ratios to Equivalent Decimals and Percents

• Fractional Ratios as Rates

Units of Measure

• Converting and Using Customary Measures of Length, Weight, Capacity, and Time

• Converting and Using Metric Measures of Length, Weight, and Capacity

• Problem Solving Using Customary Measures

• Square Units of Measure

Plane Geometry

• Lines and Angles

• Measuring Angles

• Constructing Congruent Segments and Angles

• Intersecting, Perpendicular, and Parallel Lines

• Polygons and Interior Angles

• Symmetry, Reflections, and Rotations

• Classifying triangles

Ratio, Proportion, and Percent

• Ratio

• Rate

• Writing and Solving Proportions

• Indirect Measurement Using Proportion

• Estimating Percents

• Fractions and Decimals as Percents

Coordinate Graphing

• Plotting Points

• Graphing Simple Lines

KEY TEXT

McDougal Littell Middle School - Course 1.  McDougal Littell, Houghton Mifflin

 ADVANCED MATHEMATICS

COURSE DESCRIPTION

The Advanced Mathematics course is an accelerated course combining grade 6 and grade 7  mathematics.  Fifth grade students are recommended for Advanced Mathematics by their fifth grade teachers based upon day to day student achievement, consistency of effort, CMT-5 scores, OLSAT scores, and performance on a placement test.  Students selected for Advanced Mathematics must be able to demonstrate a superior level of understanding and application of the fifth grade mathematics curriculum.  The course proceeds at a pace suitable for outstanding students, and requires nightly homework and review.  Each unit begins with a brief review, followed by application, enrichment, and problem solving.  The course includes the same objectives as grade 6 mathematics, with the following enrichments:

Decimals and Whole Numbers

• Finding Area of Quadrilaterals and other Polygons

• Finding Fractional Areas of Circles

• Using Scientific Notation

Statistics

• Measures of Central Tendency-Mean, Median, Mode, with Data Analysis

• Creating Circle Graphs

• Project:  Conducting a survey, creating a graph, and analyzing the results

Equation Solving

• Solving One and Two Step Algebraic Equations

• Evaluating Variable Expressions

• Solving Inequalities

• Writing and Solving Variable Expressions

Fractions and Percents

• Solving Story Problems using Mixed Numbers and Fractions

• Writing Rational Numbers as Percents

• Determining Percent of a Whole Number, Fraction, Decimal, or Mixed Number

• Problem Solving:  Determining Sales Price Based on Percent of Markdown

Units of Measure

• Problem Solving: Using Customary Measures in Real Life Situations

• Utilizing Cube Units of Measure (Volume)

Plane Geometry

• Complementary and Supplementary Angles

• Constructing Congruent Segments and Angles

• Polygons and Interior and Exterior Angles

• Adjacent Angles

Ratio, Proportion, and Percent

• Problem Solving: Rate

• Problem Solving: Scale Drawings

• Problem Solving: Determine Indirect Measurements

• Percent Proportions

• Solving a Simpler Problem to Estimate Percent

• Problem Solving:  Determining Sales Tax and Tips

Coordinate Graphing

• Graphing Simple Lines

Integers

• Introduction/Definition – Use of Number Line

• Comparing and Ordering Integers

• Coordinate Plane –Plotting Points

• Basic Operations with Integers

KEY TEXT

McDougal Littell Middle School - Course 1.  McDougal Littell, Houghton Mifflin