H E L E N   K E L L E R  M I D D L E  S C H O O L

One can never consent to creep when one feels an impulse to soar...Helen A. Keller

MATH

Grade 6


 

6th Grade Math Advanced Math
Requirements


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

Fifth grade students are recommended for Advanced Mathematics by their fifth grade teachers based upon data from multiple sources. 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



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Helen Keller Middle School. All rights reserved.