Instructional Services

Grade 6 Mathematics
Student Lessons

These lessons and activities are provided to give students extra opportunity to continue learning. Each lesson is aligned to the NC Standard Course of Study (see links in objectives) and contains focused practice and review. Enrichment lessons and activities are included to stretch students’ thinking and provide insight to familiar concepts.

Students can complete the lessons at home on their own at their own pace. If questions arise, then students can check with their teacher for additional assistance.

 

Objective

Lesson

Enrichment

6th Grade Math

1.01     Develop number sense for negative rational numbers.

  1. Connect the model, number word, and number using a variety of representations, including the number line.
  2. Compare and order.
  3. Make estimates in appropriate situations.

Rational Numbers: Negative
Word | PDF

Rational Numbers: Ordering
Word | PDF

Rational Numbers: Ordering
Word | PDF

1.02     Develop meaning for percents.

  1. Connect the model, number word, and number using a variety of representations.
  2. Make estimates in appropriate situations

Percents: Representations, Connections
Word | PDF

Percents: Fractions
Word | PDF

Percents: Meaning
Word | PDF

1.03     Compare and order rational numbers.

 

 

1.04     Develop fluency in addition, subtraction, multiplication, and division of non-negative rational numbers.

  1. Analyze computational strategies.
  2. Describe the effect of operations on size.
  3. Estimate the results of computations.
  4. Judge the reasonableness of solutions.

Fractions: Addition, Subtraction
Word | PDF

Fractions: Addition, Subtraction
Word | PDF

Fractions: Operations
Word | PDF

Fractions: Multiplication, Division
Word | PDF

1.05     Develop fluency in the use of factors, multiples, exponential notation, and prime factorization.

Greatest Common Factor, Least Common Multiple
Word | PDF

Greatest Common Factor, Least Common Multiple, Prime Factorization
Word | PDF

Prime Factorization, Exponents
Word | PDF

1.06     Use exponential, scientific, and calculator notation to write very large and very small numbers.

 

Scientific Notation
Word | PDF

1.07     Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.

 

 

2.01     Estimate and measure length, perimeter, area, angles, weight, and mass of two- and three-dimensional figures, using appropriate tools.

Angles: Complimentary, Supplementary
Word | PDF

Area, Perimeter:
Word | PDF

Angles: Complimentary, Supplementary
Word | PDF

Volume
Word | PDF

2.02     Solve problems involving perimeter/circumference and area of plane figures.

Circles: Area Circumference
Word | PDF

 

3.01     Identify and describe the intersection of figures in a plane.

 

 

3.02     Identify the radius, diameter, chord, center, and circumference of a circle; determine the relationships among them.

 

Area, Perimeter: Complex Shapes
Word | PDF

3.03     Transform figures in the coordinate plane and describe the transformation.

Transformations: Coordinates
Word | PDF

Transformations: Coordinates
Word | PDF

3.04     Solve problems involving geometric figures in the coordinate plane.

 

 

4.01     Develop fluency with counting strategies to determine the sample space for an event. Include lists, tree diagrams, frequency distribution tables, permutations, combinations, and the Fundamental Counting Principle.

 

 

4.02     Use a sample space to determine the probability of an event.

Probability: Sample Space
Word | PDF

Probability: Future Event
Word | PDF

4.03     Conduct experiments involving simple and compound events.

 

 

4.04     Determine and compare experimental and theoretical probabilities for simple and compound events.

Probability: Simple, Compound Events
Word | PDF

Probability: Simple, Compound, Independent, Dependent Events
Word | PDF

4.05     Determine and compare experimental and theoretical probabilities for independent and dependent events.

Probability: Independent, Dependent Events
Word | PDF

 

4.06     Design and conduct experiments or surveys to solve problems; report and analyze results.

 

 

5.01     Simplify algebraic expressions and verify the results using the basic properties of rational numbers.

  1. Identity.
  2. Commutative.
  3. Associative.
  4. Distributive.
  5. Order of operations.

Properties: Simplifying Algebraic Expressions
Word | PDF

Properties: Order of Operations
Word | PDF

Properties: Distributive
Word | PDF


Properties: Order of Operations
Word | PDF

5.02     Use and evaluate algebraic expressions.

Algebraic Expressions: Evaluating (1)
Word | PDF

Algebraic Expressions: Evaluating (2)
Word | PDF

 

5.03     Solve simple (one- and two-step) equations or inequalities.

Solving Equations: One-Step (1)
Word | PDF

Solving Equations: One-Step (2)
Word | PDF

Solving Equations: One-Step, Two-Step
Word | PDF

Solving Problems: General
Word | PDF

5.04     Use graphs, tables, and symbols to model and solve problems involving rates of change and ratios.

Ratios
Word | PDF

Ratios: Exchange Rates
Word | PDF

 

 

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