Currituck County Schools / Overview



|Subject: Algebra 1 |Timeframe Needed for Completion: |

|Grade Level: 8th/9th | |

|Unit Title: Numbers and Expressions |Grading Period: 1st 9 weeks |

|Big Idea/Theme: Is it reasonable? |

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|Understandings: operations with rational numbers, rules of exponents, perform operations with polynomials, factor binomials and trinomials; simplify radicals involving products and quotients. |

|Essential Questions: |Curriculum Goals/Objectives (to be assessed at the end of the unit/quarter) |

|What is the structure of the real number system and how are the subsets related? |Apply the laws of exponents, operate with polynomials, and factor polynomials (1.01). |

|What are Algebraic properties and how are they useful in Algebra? |Use formulas and algebraic expressions, including iterative and recursive forms, to model and solve |

|Why are exponents used in multiplication and in equations? |problems (1.02). |

|How is multiplying two binomials similar to multiplying two digit numbers? | |

|How is simplifying radical expressions similar to simplifying monomial expressions? | |

|Essential Skills/Vocabulary: |Assessment Tasks: |

|Vocabulary: absolute value, coefficient, constant, coordinates, equation, integers, like terms, ordered | |

|pair, order of operations, rational number, real number, reciprocal, variable, exponent, scientific |Quick writes |

|notation, base, power, binomial, monomial, polynomial, trinomial, degree, factor, perfect square, |Teacher made tests and quizzes |

|standard form of polynomials, square root., radical, simplify. |Find the error |

| |Foldables |

|Essential skills: |Cornell notes |

|name sets of real numbers |Groupwork |

|add, subtract, multiply and divide rational numbers |Projects |

|multiply and divide monomials using rules of exponents, including negative exponents and zero exponents |Graphic organizers |

|operate with scientific notation |Venn Diagrams |

|factor binomials using GCF, difference of squares |Anticipation/prediction guides |

|factor trinomials using perfect squares, with the leading coefficient 1, and other numbers | |

|simplify radical expressions using the product and quotient properties of square roots, and | |

|rationalizing the denominator | |

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|Guiding Questions: | |

|How are the GCF and the Distributive property used to factor polynomials? | |

|How can I solve equations using properties of equality? | |

|How are monomials factored? | |

|How are binomials factored? | |

|How are trinomials factored? | |

|How can you find the other factor of a polynomial if you know the product and one of the factors? | |

|How are adding and multiplying polynomials different? | |

|What does FOIL stand for? | |

|How is factoring a polynomial connected to the FOIL method? | |

|What do you do differently when finding the degree of a monomial versus finding the degree of a binomial| |

|or trinomial? | |

|If the base and height of a rectangular prism are binomials, how is the volume computed? | |

|How are powers multiplied? Divided? | |

|What is the difference between multiplying and dividing monomials with exponents? | |

|How is a problem simplified with a negative exponent? | |

|How is a number written in scientific notation? | |

|What is the square root of a number? The cube root? | |

|What is the relationship between the square root of a number and the square of a number? | |

|In the equation y = 4x, what is the constant of variation? | |

|How do you multiply fractions? How does it differ from dividing fractions? | |

|What is the multiplicative reciprocal or inverse? | |

|What is the product of a number and its multiplicative inverse? | |

|What happens if you multiply each side of an equation by the same number? | |

|What strategy should you use when solving a multi-step equation? | |

|What is a rational number? | |

|How can a rational number be represented as a fraction, a decimal, a percent, and in a pie diagram? | |

|If you add or subtract something from one side of an equation, why must you do the same thing to the | |

|other side? | |

|Explain the difference when adding and multiplying negative integers. | |

|Why do opposites have the same absolute value? | |

|Why is the order of operations important? | |

|How are the commutative and associative properties similar? Different? | |

|What is an exponential function? | |

|How can we find the factors of polynomials? | |

|Materials Suggestions: |

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