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 Quality Core Curriculum addressed within the Probability 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; Data Analysis 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 Data Analysisic 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. 25 Topic: Area, Perimeter, Volume Standard: Uses concrete models to develop and apply formulas for area, perimeter, and volume. Strand: Statistics & Probability 44 Topic: Probability Standard: Identifies possible outcomes of a simple experiment and predicts or describes probability of a given event. 45 Topic: Probability Standard: Explores the relationship between actual outcomes (experimental probability) and expected outcomes (theoretical probability).   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; Data Analysis 5 Topic: Expressions, Equations, Inequalities Standard: Identifies the use of a variable as a placeholder in an Data Analysisic expression or equation. 6 Topic: Expressions Standard: Evaluates Data Analysisic expressions (e.g., Given 3a + 4. If a = 2, then 3(2) + 4 = 10). 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.) 6 Topic: Expressions Standard: Evaluates Data Analysisic expressions (e.g., Given 3a + 4. If a = 2, then 3(2) + 4 = 10). Strand: Statistics & Probability 38 Topic: Simple Probability Standard: Identifies possible outcomes of simple experiments and predicts or describes the probability of a given event expressed as a rational number from 0 through 1. 39 Topic: Compound Probability Standard: Conducts and interprets a compound probability experiment. 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; Data Analysis 5 Topic: Expressions, Equations, Inequalities Standard: Identifies the use of a variable as a placeholder in Data Analysisic expressions, equations, and inequalities. 10 Topic: Expressions Standard: Evaluates Data Analysisic expressions using substitution. 17 Topic: Formulas, Pythagorean Theorem Standard: Applies formulas (e.g., area, perimeter, circumference, volume, surface area), including investigating and using the Pythagorean Theorem. Strand: Geometry & Spatial Sense; Measurement 24 Topic: Geometric Properties, Geometric Figures Standard: Uses geometric figures, properties, and relations to solve problems. Strand: Statistics & Probability 42 Topic: Probability Standard: Identifies possible outcomes of simple and compound experiments, and predicts or describes the probability of a given event, expressed as a rational number from 0 through 1.