Ware Academy
Mathematics Curriculum
Sixth Grade
Megan Coulbourne
mcoulbourne@wareacademy.org
Course Objectives
Students will be prepared for the seventh grade mathematics program Algebra I, Part I.
Students will be required to problem solve, utilizing critical thinking skills.
Students will be required to demonstrate how they arrived at their conclusions.
Instruction will include a balance among conceptual understanding, connections to prior
knowledge, skill proficiency, and problem solving experiences.
I.
Numeration
A. Connecting Numbers
1. Factors
2. Whole Numbers and Place Value
3. Comparing and Ordering Whole Numbers
4. Decimals and Place Value
5. Comparing and Ordering Decimals
6. Adding and Subtracting Decimals
7. Comparing Fractions
8. Writing a Fraction as a Decimal
B. Using Whole Numbers
1. Properties
2. Adding Whole Numbers
3. Subtracting Whole Numbers
4. Multiplying Whole Numbers
5. Dividing Whole Numbers
6. Rounding
7. Compatible Numbers
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Sixth Grade
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C. Decimals
1. Adding Decimals
2. Subtracting Decimals
3. Multiplying Decimals
4. Dividing Decimals
5. Multiplying and Dividing Decimals by Powers of Ten
II.
Fractions
A. Number Theory and Fractions
1. Prime Numbers
2. Composite Numbers
3. Multiples
4. Least Common Multiples
5. Greatest Common Factors
6. Prime Factorization
7. Rules for Divisibility
8. Fractions as Lowest Terms
9. Mixed Numbers
B. Adding and Subtracting Fractions
1. Least Common Multiple
2. Equivalent Fractions
3. Adding and Subtracting Like Fractions
4. Adding and Subtracting Unlike Fractions
C. Multiplying and Dividing Fractions
1. Multiplying with Fractions
2. Multiplying Mixed Numbers
3. Dividing with Fractions
4. Dividing Mixed Numbers
III.
Geometry and Spatial Concepts
A. Geometric Figures
1. Points, Lines, Planes
2. Angles
3. Polygons
4. Triangles
5. Quadrilaterals
6. Bisecting Line Segments
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Sixth Grade
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B. Symmetry
1. Symmetry
2. Congruence
3. Transformations
C. Solid Figures
1. Faces, Edges, Vertices
IV.
Algebra: Equations and Relationships
A. Expressions and Equations
1. Numerical Expressions
2. Algebraic Expressions
3. Inverse Operations
4. Solving Addition and Subtracting Equations
B. Algebra: Real Life Relationships
1. Solving Multiplication and Division Equations
2. Money Relationships
3. Temperature Relationships
4. Time and Distance Relationships
V.
Proportional Reasoning
A. Ratio, Proportion, and Percent
1. Ratios
2. Rates
3. Percents and Decimals
4. Writing a Proportion
B. Percent and Change
1. Percent of a Number
2. Discount
3. Simple Interest
C. Ratio, Proportion and Similar Figures
1. Similar and Congruent Figures
2. Ratios and Similar Figures
3. Proportions and Similar Figures
4. Proportions and Indirect Measurement
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Sixth Grade
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D. Applications of Ratios and Percent
1. Estimating Scale
2. Scale Drawings
3. Proportions and Scale Drawings
VI.
Measurement: 1, 2, and 3 Dimensions
A. Measurement
1. Customary Measurements
2. Metric Measurements
3. Parts of a Circle
4. Perimeter and Circumference
B. Measuring Area
1. Triangles
2. Parallelograms
3. Circles
C. Measuring Solids
1. Volume
2. Surface
VII.
Algebra: Integers and Equations
A. Number Relationships
1. Integers
2. Rational Numbers
3. Terminating and Repeating Decimals
B. Operations with Integers
1. Adding Integers
2. Subtracting Integers
3. Multiplying Integers
4. Dividing Integers
C. Equations and Relations
1. Evaluating Expressions
2. Solving Equations with Integers
3. Two-Step Equations
4. Inequalities
5. Graphing Ordered Pairs
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Sixth Grade
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Evaluation
Based on the following:
Homework - 10%
Classwork – 20%
Quizzes – 20%
Tests, Projects – 40%
Exam – 10%