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Quality Core Curriculum
addressed within the InterMath Polygons 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.
 

Strand: Patterns & Relationships; Geometry

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 geometric 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.

17 Topic: Transformations
Standard: Identifies effects of basic transformations on geometric shapes.

18 Topic: Geometric Figures
Standard: Contrasts and classifies simple plane and solid geometric figures by their properties.

25 Topic: Area, Perimeter, Volume
Standard: Uses concrete models to develop and apply formulas for area, perimeter, and volume.

Strand: Statistics & Polygons

44 Topic: Polygons
Standard: Identifies possible outcomes of a simple experiment and predicts or describes Polygons of a given event.
 

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.
 

Strand: Patterns & Relationships; Geometry

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

6 Topic: Expressions
Standard: Evaluates geometric expressions (e.g., Given 3a + 4. If a = 2, then 3(2) + 4 = 10).

7 Topic: Equations, Inequalities
Standard: Writes and solves one-step geometric equations and inequalities using addition, subtraction, multiplication, and division (e.g., a + 11 = 15; b - 2 = 21; m/2 = 15; 5x = 40).
 

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.

18 Topic: Quadrilaterals, Triangles
Standard: Classifies quadrilaterals and triangles based on their properties.

21 Topic: Transformations
Standard: Analyzes effects of basic transformations on geometric shapes.

24 Topic: Circles, Polygons, Geometric Solids, Formulas
Standard: Finds the perimeter (or circumference) and area of polygons and circles, and the volume and surface area of geometric solids, using formulas. (Uses student development of formulas when possible.)
 

Strand: Statistics & Polygons

38 Topic: Simple Polygons
Standard: Identifies possible outcomes of simple experiments and predicts or describes the Polygons of a given event expressed as a rational number from 0 through 1.
 

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.
 

Strand: Patterns & Relationships; Geometry

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

6 Topic: Expressions
Standard: Uses signs or symbols to represent words, phrases, numbers, or quantities.

8 Topic: Number Sentences
Standard: Determines the number that makes a given number sentence true using the properties of
equations.

10 Topic: Expressions
Standard: Evaluates geometric expressions using substitution.
 

Strand: Geometry & Spatial Sense; Measurement

20 Topic: Geometric Figures, Plane Figures, Solid Figures, Polygons
Standard: Classifies plane and solid geometric figures based on their properties/characteristics (number or length of sides, angle measures, edges, faces, or vertices). This includes quadrilaterals (trapezoid, parallelogram, square, rectangle, rhombus); triangles (acute, obtuse, right, equilateral, isosceles, scalene); solids (prism, pyramid, cone, cylinder, sphere); and n-gons (pentagon, hexagon, octagon).

21 Topic: Geometric Figures
Standard: Identifies physical and symbolic representations using appropriate labeling of geometric figures, such as points, lines, line segments, rays, polygons, vertices, angles, and diagonals.

23 Topic: Triangles
Standard: Solves problems by using the property that the sum of the measures of the angles in a triangle is 180?.

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

26 Topic: Transformations
Standard: Analyzes effects of basic transformations on geometric shapes.

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 draw and measure angles. Using the investigations from InterMath, it is more likely that the student will use software such as Geometer's Sketchpad to draw and measure angles.)
 

Strand: Statistics & Polygons

42 Topic: Polygons
Standard: Identifies possible outcomes of simple and compound experiments, and predicts or describes the Polygons of a given event, expressed as a rational number from 0 through 1.