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Quality Core Curriculum
addressed within the graphing unit


Sixth Grade

Strand: Problem Solving

1 Topic: Problem Solving Strategies, Reasoning, Estimation Strategies, Mental Computation
Standard: Solves problems, reasons, and estimates throughout mathematics.

Selects and uses problem-solving strategies such as reading the problem, drawing a picture or diagram, using trial and error, making a table or chart, looking for patterns, making a simpler problem and then generalizing, working backwards, etc.

Selects and uses appropriate tools (such as mental computation, calculators, manipulative materials, paper and pencil, computer) in solving problems.
Uses appropriate estimation strategies (such as front-end, breaking numbers apart, compatible numbers, guess and check, clustering, rounding, compensation) to check the reasonableness of results.
Solves non-routine problems for which the answer is not obvious.
Relates concepts and skills to practical applications.

2 Topic: Communication, Reasoning
Standard: Describe orally and in writing, using the appropriate mathematical vocabulary, mathematical concepts and procedures, such as solving a word problem or computing.

3 Topic: Technology, Calculator Skills, Computer Skills, Problem Solving, Reasoning
Standard: Uses scientific calculator and computer skills to solve problems, to discover patterns and sequences, to investigate situations and draw conclusions.

46 Topic Problem Solving Strategies
Standard: Selects and uses appropriate problem-solving strategies, determines operations to use and whether problems contain extraneous or insufficient information.

47 Topic: Problem Solving
Standard: Solves problems using one or two operations.


Strand: Patterns & Relationships; Algebra

5 Topic: Expressions, Equations (Number Sentences)
Standard: Uses a variable to represent an unknown amount in a mathematical expression or equation (number sentence), and evaluates simple algebraic expressions (e.g., Given a + 4. If a = 2, then 2 + 4 = 6).


Strand: Geometry & Spatial Sense; Measurement

12 Topic Lines and Line Segments
Standard: Uses characteristics and properties of lines and line segments to compare and contrast (i.e., geometric shapes, angles) and to establish relationships.

13 Topic
Angles
Standard: Identifies the component parts of an angle, its vertex, and sides or rays; and classifies angles as acute, right, obtuse, or straight.

14 Topic: Geometric Figures
Standard: Identifies lines of symmetry.

19 Topic Graphing
Standard: Locates, names, and graphs an ordered pair of numbers on a coordinate plane.

20 Topic: Circles
Standard: Identifies terms associated with a circle and finds the circumference using pi.

 

Seventh Grade

Strand: Problem Solving

1 Topic: Problem Solving Strategies, Reasoning, Estimation Strategies, Mental Computation
Standard: Solves problems, reasons, and estimates throughout mathematics.

Selects and uses problem-solving strategies such as reading the problem, drawing a picture or diagram, using trial and error, making a table or chart, looking for patterns, making a simpler problem and then generalizing, working backwards, etc.
Selects and uses appropriate tools (such as mental computation, calculators, manipulative materials, paper and pencil, computer) in solving problems.
Uses appropriate estimation strategies (such as front-end, breaking numbers apart, compatible numbers, guess and check, clustering, rounding, compensation) to check the reasonableness of results.
Solves nonroutine problems for which the answer is not obvious.
Relates concepts and skills to practical applications.

2 Topic: Communication, Reasoning
Standard: Describes orally and in writing, using the appropriate mathematical vocabulary, mathematical concepts and procedures, such as solving a word problem or computing.

3 Topic: Technology, Calculator Skills, Computer Skills, Problem Solving, Reasoning
Standard: Uses scientific calculator and computer skills to solve problems, to discover patterns and sequences, to investigate situations and draw conclusions.

40 Topic: Problem Solving Strategies
Standard: Selects and uses appropriate problem-solving strategies to solve single- and multiple-step problems.


Strand: Patterns & Relationships; Algebra

5 Topic: Expressions, Equations, Inequalities
Standard: Identifies the use of a variable as a placeholder in an algebraic expression or equation.

12 Topic: Variables
Standard: Determines how changes in one variable can affect another variable (e.g., Given b = 2a. If a = 2, then b = 4. If a = 3, then b = 6).


Strand: Geometry & Spatial Sense; Measurement

17 Topic: Angles
Standard: Classifies angles as acute, right, obtuse, or straight; and names angles using points, numbers, and letters.

22 Topic: Graphing, Integers
Standard: Identifies and graphs an ordered pair of integers on a four-quadrant coordinate plane.

 

Eighth Grade

Strand: Problem Solving

1 Topic: Problem Solving Strategies, Reasoning, Estimation Strategies, Mental Computation
Standard: Solves problems, reasons, and estimates throughout mathematics.

Selects and uses problem-solving strategies such as reading the problem, drawing a picture or diagram, using trial and error, making a table or chart, looking for patterns, making a simpler problem and then generalizing, working backwards, etc.
Selects and uses appropriate tools (such as mental computation, calculators, manipulative materials, paper and pencil, computer) in solving problems.
Uses appropriate estimation strategies (such as front-end, breaking numbers apart, compatible numbers, guess and check, clustering, rounding, compensation) to check the reasonableness of results.
Solves nonroutine problems for which the answer is not obvious.
Relates concepts and skills to practical applications.

2 Topic: Communication, Reasoning
Standard: Describe orally and in writing, using the appropriate mathematical vocabulary, mathematical concepts and procedures, such as solving a word problem or computing.

3 Topic: Technology, Calculator Skills, Computer Skills, Problem Solving, Reasoning
Standard: Uses scientific calculator and computer skills to solve problems, to discover patterns and sequences, to investigate situations and draw conclusions.

43 Topic: Problem Solving Strategies
Standard: Selects and uses appropriate problem-solving strategies to solve single- and multiple-step problems.


Strand: Patterns & Relationships; Algebra

5 Topic: Expressions, Equations, Inequalities
Standard: Identifies the use of a variable as a placeholder in algebraic expressions, equations, and inequalities.

15 Topic: Relations, Functions
Standard: Examines relations (functions) to determine how changes in one variable can effect another variable (e.g., Given b = 2a. If a = 2, then b = 4. If a = 3, then b = 6).

24 Topic: Geometric Properties, Geometric Figures
Standard: Uses geometric figures, properties, and relations to solve problems.

25 Topic: Graphing, Integers
Standard: Identifies and graphs an ordered pair of integers on a four-quadrant coordinate plane.

28 Topic: Angle Measurement
Standard: Measures and draws angles using a protractor and classifies angles by their measures (e.g., acute, obtuse, right, straight, complementary, supplementary).

(NOTE: This QCC indicates the student will use a protractor to measure angles. Using the investigations from InterMath, it is more likely that the student will use software such as Geometer's SketchPad to measure angles.)