6th Grade Math Enduring Understandings: • Mathematics is a system for organizing the world quantitatively. It gives us tools to analyze, problem solve, and communicate about ourselves and our world. • Math is a tool for understanding and modeling relationships. • Mathematical comparisons allow us to make informed decisions about our world. • Rational numbers allow us to make sense of situations that involve numbers that are not whole.
Unit 1 – Intro to 6th grade math Transfer: Students will be able to independently use their learning to solve multioperation problems Enduring Understandings: Essential Questions: Students will understand that there is a How does the order make a difference? specific order of operations based in mathematical reasoning and used by all mathematicians to provide consistent results Knowledge: Skill: Students will know: Students will be skilled at: • how to use repeated multiplication • Using exponents • the order of operations • Evaluating number expressions using the order of operations • formulas for solving for perimeter and area • Finding the perimeter and area of rectangles Assessments: Resources: Journal writing Math Course 2 – McDougal Little, Chapter Quizzes 1 Tests Vocabulary: Variable expression evaluate power order of operations solution perimeter Concepts: Interpreting expressions Evaluating powers Order of operations Solving for perimeter Solving for area
base area
exponent
equation
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Unit 2: Integers Transfer: Students will be able to independently use their learning to perform operations using positive and negative numbers Enduring Understandings: Essential Questions: Students will understand that integers How are operations with negative numbers have magnitude and direction. different than using only non-negative Students will understand that situations in numbers? life can be transferred into algebraic When are integers used to solve problems? thinking and reasoning. How can technology make budget keeping Spreadsheets can be “programmed” for easier? easy bookkeeping. Knowledge: Skill: Students will know: Students will be skilled at: • How to perform operations using • Ordering integers negative numbers • Adding and subtracting integers • Where ordered pairs are found on • Multiplying and dividing integers a coordinate plane • Graphing ordered pairs on a coordinate plane. • Making spreadsheet Assessments: Resources: Journal writing Math Course 2 – McDougal Little, Chapter Quizzes 6 tests Road Trip Project Vocabulary: Integer Absolute value x-coordinate y-coordinate quadrant origin Opposite ordered pair coordinate plane Concepts: What is an integer? Ordering integers Graphing numbers on a numberline Absolute value opposite Adding integers Subtracting integers Multiplication/division integers Graphing in the coordinate plane Coordinate plane Ordered pairs
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Unit 3: Prime Factorization Transfer: Students will be able to independently use their learning to identify similarities and differences in factors of numbers and draw connections between numbers. Enduring Understandings: Essential Questions: Students will understand that every How are factors and multiples related to number is made of factors. multiplication and division? Students will understand that numbers are Why and when would it be useful to know compatible based on their prime the factors of a number? factorization. What relationships are revealed by Students will understand that factors and breaking the number into factors? multiples are related in ways that are similar to the way that multiplication and division are related. Students will understand that many patterns, formulas, and number concepts in number theory rely on prime numbers and the ability to express a number as a product of prime numbers Knowledge: Students will know: • The difference between prime and composite numbers • When to solve for GCF or LCM • The difference between factors and multiples • Goldbach’s conjecture
Skill: Students will be skilled at: • Factoring numbers • Solving for the greatest common factor (GCF) and least common multiple (LCM) of various sets of numbers.
Assessments: Resources: Journal writing Math Course 2 – McDougal Little, Chapter Quizzes 4 Tests Project Vocabulary: Prime number composite number factorization factor tree Greatest common factor relatively prime multiple common multiple Least common multiple Concepts: Identifying prime and composite numbers Finding factors Prime factorization
Greatest common factor Least common multiple Problem solving
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Unit 4: Fractions and Decimals Transfer: Students will be able to independently use their learning to solve real life problems involving parts, such as shopping, cooking, playing music, ect. Enduring Understandings: Essential Questions: Students will understand that fractions and What is the relationship between fractions decimals are parts of a whole. and decimals? Students will understand that fractions and How are different “parts” (fractions and decimals can be added using like decimals) combined? denominators. Students will understand that the fraction a/b represents a equal sized parts of a whole that is divided into b equal sized parts.
Knowledge: Students will know: • Fractional parts • Parts of a whole • Decimal place values
Skill: Students will be skilled at: • Using decimals and fractions to represent parts of a whole. • Modeling addition and subtractions of decimals and fractions • Solve problems involving fractions and decimals. Resources: Math Course 2 – McDougal Little, Chapter 2, 4, 5
Assessments: Journal writing Quizzes Tests Amateur Architect Vocabulary: Fraction decimal numerator denominator equivalent fractions Simplest form least common denominator mixed number proper fraction improper fraction terminating decimal repeating decimal meter gram Liter milli centi kilo reciprocal