Quality Core Curriculum
addressed within the InterMath Triangles 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 problemsolving 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 frontend, 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: 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.
16 Topic: Geometric Figures
Standard: Identifies congruent and similar geometric figures.
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.
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 problemsolving 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 frontend, 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: 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.
19 Topic: Geometric Figures
Standard: Contrasts and classifies plane and solid geometric figures (polygons, cones, cylinders, prisms, pyramids).
20 Topic: Geometric Figures
Standard: Compares and contrasts geometric figures with respect to congruency and similarity (scaling, dilations).
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.)
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 problemsolving 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 frontend, 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: 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 ngons (pentagon, hexagon, octagon).
22 Topic: Geometric Figures
Standard: Uses properties to determine similarity and congruency of geometric figures.
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.
27 Topic: Transformations
Standard: Determines how changing a linear measure on a geometric figure affects area and volume.
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.)
