Sunday, December 3, 2017

Update for 12/3

        Dear Parents,

        This week in science we are moving into studying microorganisms such as bacteria, mold, and protists.  Our cells and microorganisms test will be next Monday, 12/11.  In writing, students will be working on their opinion essay regarding whether or not chocolate milk should be sold in school.  In 5.1 math, we will be wrapping up our exploration of adding, subtracting, multiplying, and dividing.  Our Unit 3 test will be this Friday, 12/8.  In 6.1 math, we will also be wrapping up our algebra unit with our Unit 3 test this Friday, 12/8.  Please make sure your student is reviewing the work on Remind.

         Please let me know if you have any questions!

         Jenny M-G



5.1 grade math standards:
MGSE5.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Perform operations with multi-digit whole numbers and with decimals to the hundredths.
MGSE5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

BIG IDEAS • Students will understand that the placement of the decimal is determined by multiplying or dividing a number by 10 or a multiple of 10. • Students will understand that multiplication and division are inverse operations of each other. • Students will understand that rules for multiplication and division of whole numbers also apply to decimals.

ESSENTIAL QUESTIONS • How can we use exponents to represent powers of 10? • How does multiplying or dividing by a power of ten affect the product? • How can we use models to help us multiply and divide decimals? • How do the rules of multiplying whole numbers relate to multiplying decimals? • How are multiplication and division related? • How are factors and multiples related to multiplication and division?


6th grade math standards:
MGSE6.EE.1 Write and evaluate expressions involving whole-number exponents.
MGSE6.EE.2 Write, read, and evaluate expressions in which letters stand for numbers. MGSE6.EE.2a Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation “Subtract y from 5” as 5-y.
MGSE6.EE.2b Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. For example, describe the expression 2(8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms.
MGSE6.EE.2c Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas 𝑉 = 𝑠3 and 𝐴 = 6𝑠2 to find the volume and surface area of a cube with sides of length 𝑠 = 1 2.
 MGSE6.EE.3 Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6(4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y. MGSE6.EE.4 Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them.) For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.
MGSE6.NS.4 Find the common multiples of two whole numbers less than or equal to 12 and the common factors of two whole numbers less than or equal to 100. a. Find the greatest common factor of 2 whole numbers and use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factors. (GCF) Example: 36 + 8 = 4(9 + 2) b. Apply the least common multiple of two whole numbers less than or equal to 12 to solve real-world problems.

ESSENTIAL QUESTIONS • How are “standard form” and “exponential form” related? • What is the purpose of an exponent? • How are exponents used when evaluating expressions? • How is the order of operations used to evaluate expressions? • How are exponents useful in solving mathematical and real world problems? • How are properties of numbers helpful in evaluating expressions? • What strategies can I use to help me understand and represent real situations using algebraic expressions? • How are the properties (Identify, Associative and Commutative) used to evaluate, simplify and expand expressions? • How is the Distributive Property used to evaluate, simplify and expand expressions? • How can I tell if two expressions are equivalent?

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