zero and negative exponents common core algebra 1 homework

How to Teach Zero and Negative Exponents

Why is a 0  = 1?

Patterns with negative bases, patterns with negative exponents.

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Zero and Negative Exponents - PDFs

7-1 Assignment - Zero and Negative Exponents  (FREE) 7-1 Bell Work - Zero and Negative Exponents  (FREE) 7-1 Exit Quiz - Zero and Negative Exponents  (FREE) 7-1 Slide Show - Zero and Negative Exponents  (FREE) 7-1 Guide Notes SE - Zero and Negative Exponents  (FREE) 7-1 Guided Notes Teacher Edition - Zero and Negative Exponents ( Members Only ) 7-1 Lesson Plan - Zero and Negative Exponents ( Members Only ) 7-1 Online Activities - Zero and Negative Exponents ( Members Only ) 7-1 Video Lesson - Zero and Negative Exponents ( Members Only ) 7-1 Project - Zero and Negative Exponents ( Members Only )

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Algebra 1: Common Core (15th Edition)

By charles, randall i., chapter 7 - exponents and exponential functions - 7-1 zero and negative exponents - lesson check - page 421: 1, work step by step, update this answer.

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• Algebra1 Worksheet
• Algebra 1 - Worksheet 13 - Zero and . . .

Algebra 1 - Worksheet 13 - Zero and Negative Exponents

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Kindergarten

• Counting and Cardinality
• Operations and Algebraic Thinking
• Number and Operations in Base Ten
• Measurement and Data
• Number and Operations: Fractions
• Ratios and Proportional Relationships
• The Number System
• Expressions and Equations
• Statistics and Probability

High School: Number and Quantity

• The Real Number System
• The Complex Number System
• Vector and Matrix Quantities

High School: Algebra

• Seeing Structure in Expressions
• Arithmetic with Polynomials and Rational Expressions
• Creating Equations
• Reasoning with Equations and Inequalities

High School: Functions

• Interpreting Functions
• Building Functions
• Linear, Quadratic, and Exponential Models
• Trigonometric Functions

High School: Geometry

• Similarity, Right Triangles, and Trigonometry
• Expressing Geometric Properties with Equations
• Geometric Measurement and Dimension
• Modeling with Geometry

High School: Statistics & Probability

• Interpreting Categorical and Quantitative Data
• Making Inferences and Justifying Conclusions
• Conditional Probability & the Rules of Probability
• Using Probability to Make Decisions

Common Core Math

High school: algebra: seeing structure in expressions, interpret the structure of expressions., hsa.sse.a.1, interpret expressions that represent a quantity in terms of its context., hsa.sse.a.1.a.

• Analyzing structure with linear inequalities
• Analyzing structure word problem: pet store (1 of 2)
• Analyzing structure word problem: pet store (2 of 2)
• Factors & divisibility
• Intro to factors & divisibility
• Polynomials intro
• Reasoning about unknown variables
• Reasoning about unknown variables: divisibility
• Structure in rational expression
• The parts of polynomial expressions

HSA.SSE.A.1.b

• Interpreting expressions with multiple variables
• Interpreting expressions with multiple variables: Cylinder
• Interpreting expressions with multiple variables: Resistors

HSA.SSE.A.2

• Difference of squares
• Difference of squares intro
• Equivalent forms of exponential expressions
• Evaluate expressions using structure
• Factor higher degree polynomials
• Factor polynomials using structure
• Factor polynomials: common factor
• Factor polynomials: quadratic methods
• Factor polynomials: quadratic methods (challenge)
• Factoring by common factor review
• Factoring by grouping
• Factoring difference of cubes
• Factoring difference of squares: analyzing factorization
• Factoring difference of squares: leading coefficient ≠ 1
• Factoring difference of squares: missing values
• Factoring difference of squares: shared factors
• Factoring difference of squares: two variables (example 2)
• Factoring higher degree polynomials
• Factoring higher-degree polynomials
• Factoring higher-degree polynomials: Common factor
• Factoring perfect squares
• Factoring perfect squares: missing values
• Factoring perfect squares: negative common factor
• Factoring perfect squares: shared factors
• Factoring polynomials by taking a common factor
• Factoring polynomials challenge
• Factoring polynomials: common binomial factor
• Factoring quadratics as (x+a)(x+b)
• Factoring quadratics in any form
• Factoring quadratics: common factor + grouping
• Factoring quadratics: Difference of squares
• Factoring quadratics: leading coefficient = 1
• Factoring quadratics: leading coefficient ≠ 1
• Factoring quadratics: negative common factor + grouping
• Factoring quadratics: Perfect squares
• Factoring sum of cubes
• Factoring two-variable quadratics
• Factoring two-variable quadratics: grouping
• Factoring two-variable quadratics: rearranging
• Factoring using the difference of squares pattern
• Factoring using the perfect square pattern
• Factoring with the distributive property
• Factorization with substitution
• Finding zeros of polynomials (1 of 2)
• Finding zeros of polynomials (2 of 2)
• Finding zeros of polynomials (example 2)
• GCF factoring introduction
• Identify quadratic patterns
• Identifying perfect square form
• Identifying quadratic patterns
• Intro to grouping
• Manipulate expressions using structure
• Manipulating expressions using structure
• Manipulating expressions using structure (example 2)
• Perfect square factorization intro
• Perfect squares
• Perfect squares intro
• Polynomial special products: difference of squares
• Polynomial special products: perfect square
• Solve equations using structure
• Solving quadratics using structure
• Strategy in factoring quadratics (part 1 of 2)
• Strategy in factoring quadratics (part 2 of 2)
• Taking common factor from binomial
• Taking common factor from trinomial
• Taking common factor: area model
• Worked example: evaluating expressions using structure
• Worked example: evaluating expressions using structure (more examples)

Write expressions in equivalent forms to solve problems.

Hsa.sse.b.3, choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression., hsa.sse.b.3.a.

• Compare features of functions
• Comparing features of quadratic functions
• Comparing functions: shared features
• Features of quadratic functions
• Features of quadratic functions: strategy
• Finding features of quadratic functions
• Finding the vertex of a parabola in standard form
• Forms & features of quadratic functions
• Graph parabolas in all forms
• Graph quadratics in standard form
• Graphing quadratics review
• Graphing quadratics: standard form
• Interpret quadratic models
• Interpret quadratic models: Factored form
• Quadratic equations word problem: box dimensions
• Quadratic equations word problem: triangle dimensions
• Quadratic word problems (standard form)
• Quadratics by factoring
• Quadratics by factoring (intro)
• Solving quadratics by factoring
• Solving quadratics by factoring review
• Solving quadratics by factoring: leading coefficient ≠ 1
• Worked examples: Forms & features of quadratic functions

HSA.SSE.B.3.b

• Comparing maximum points of quadratic functions
• Completing the square
• Completing the square (intermediate)
• Completing the square (intro)
• Completing the square review
• Interpret quadratic models: Vertex form
• Quadratic word problem: mosquitoes
• Solving quadratics by completing the square
• Solving quadratics by completing the square: no solution
• Vertex & axis of symmetry of a parabola
• Worked example: Completing the square (intro)
• Worked example: completing the square (leading coefficient ≠ 1)
• Worked example: Rewriting & solving equations by completing the square
• Worked example: Rewriting expressions by completing the square

HSA.SSE.B.3.c

• Interpret change in exponential models: changing units
• Interpret change in exponential models: with manipulation
• Interpreting change in exponential models: changing units
• Interpreting change in exponential models: with manipulation

HSA.SSE.B.4

• Finite geometric series
• Finite geometric series formula
• Finite geometric series in sigma notation
• Finite geometric series word problem: mortgage
• Finite geometric series word problem: social media
• Finite geometric series word problems
• Geometric series intro
• Geometric series introduction
• Geometric series with sigma notation
• Geometric series word problems: hike
• Geometric series word problems: swing
• Worked example: finite geometric series (sigma notation)

• Get started
• Pre-Algebra

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Exercise 60 Page   422

Begin by writing an expression that models a single year. Then, consider how that expression could change to account for the other time frames using exponents .

Check the answer

Practice exercises, asses your skill.

To find the budget from 2 years ago, let's create a model of the budget using some concrete examples.

Creating a Model Expression

Recall that the budget started as $ 500. The budget then doubles each year.

Compare the number of years with the exponents in the final expressions. Can you find a pattern? In each of the final expressions, there is an exponent whose value matches the number of years that have passed. Therefore, if y years have passed, we would get the following expression. 2^y* 500 Using this expression, we can find the budget for any number of years! Let's use this expression to find the budget for two years ago.

The Budget 2 Years Ago

a^(- m)=1/a^m

Calculate power

1/b* a = a/b

Calculate quotient

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