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Bartlesville 6th Grade Physical Science Curriculum

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Bartlesville Independent School District 30 Science Department 6th Grade Physical Science Curriculum l Quarterly Assessments Topic List l Course Objectives 1. Physical Properties in Matter n A & B: Physical Properties n C: Physical Changes n D: Matter Conservation n E: Chemical Reactions n F (Local): Mixtures 2. Transfer of Energy n A: Energy Transfer n B: Electrical Circuits n C: Currents & Magnets n D (Local): Energy Conservation n E (Local): Energy Transfer n F (Local): Energy & the Environment 3.
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STANDARD: ALG 10.0
STATE ASSESSMENTS CSTCAHSEE The sum of two binomials isx+ 6 2 5x- 6x. If one of the binomials is x 2 3x- 2x, what is the other binomial? 2 A. 2x- 4x The length of the rectangle above is 2 B. 2x- 8x 26 units longer than the width. C. 8x+ 4x Which expression could be used to 2 D. 8x- 8x represent the area of the rectangle?
Which of the following expressions is equal to (x+ 2) + (x– 2)(2x+ 1) ? 2 A. 2x– 2x 2 B. 2x– 4x 2 C. 2x+x 2 D. 4x+ 2x
ucpdi@ucsd.edu University of California ©2006
2 A.x+ 6x 2 B.x- 36 2 C.x+ 6x+ 6 2 D.x+ 12x+36
Simplify 2 2 (x– 3x+ 1) – (x+ 2x+ 7)
A.x– 6 B. –x+ 8 C. –5x– 6 2 D. 2x– x + 8
Simplify 3 2 4x+ 2x– 8x 2x
2 A. 2x+x– 4 2 B. 4x+ 2x– 8 2 2 C. 2x+ 2x– 8x 4 32 D. 8x+ 4x– 16x
ALGEBRA 1
University of California Professional Development Institute (UCPDI) & San Diego Mathematics Project (SDMP) MATHEMATICS Algebra 1 STANDARD: 10.0 Students add, subtract, multiply, and divide monomials and polynomials. Students solve multi-step problems, including word problems, by using these techniques.
BIG MATHEMATICAL IDEAS
• Monomialsand polynomials are algebraic expressionsin one or morevariables. • Apolynomial is the sum or difference of terms which have variables raised to positive integer powers and have coefficients that may be real or complex. For example, the following are all polynomials: 3 22 3 5x -2x +x - 13, x y+ xy, and 2 2 (1 + i)a+ ib . • Eventhough the prefix poly-means many, the word polynomial is used to refer to polynomials with 1 term (monomials), 2 terms (binomials), 3 terms, (trinomials), etc. • Polynomialscan be used to represent unknownquantities and theirrelationshipsin word problems. • Arithmeticaltechniques for adding, subtracting, multiplying and dividing are used to represent relationships and simplify the expressions.
ucpdi@ucsd.edu University of California ©2006
• Thecommutative and associative properties of addition and multiplication, and the distributive property of multiplication over addition are used to simplify polynomial expressions and perform the appropriate arithmetical operations. • Multistepproblems often involve the consideration of a number of different concepts, quantities and their relationships all at the same time. • Whensolving such problems, it is important to identify the quantities, relationships that exist among the quantities, valuesthat are known or given and those that we want to find. The solution to a multi-step problem often involves finding the values of intermediary quantities, creating the need for additional steps.
• Whensolving multistep word problems involving monomials and polynomials, there are usually a number of arithmetic steps that are necessary. • Theproperties of the Real Numberscan be used to simplify expressions and equations and to justify the processes involved.
ALGEBRA 1