1 / 13

Chapter 1

Chapter 1. Decimals Patterns and Algebra. Lesson 1-1 A Plan for Problem Solving. Understand the Problem (Explore) – What is the question being asked? Plan – What strategy will you use? Solve – Carry out the plan. Explain in words how you did so.

sezja
Download Presentation

Chapter 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 1 Decimals Patterns and Algebra

  2. Lesson 1-1 A Plan for Problem Solving • Understand the Problem (Explore) – What is the question being asked? • Plan – What strategy will you use? • Solve – Carry out the plan. Explain in words how you did so. • Look Back (Examine) – Verify your answer by solving another way. Is your answer reasonable?

  3. Lesson 1-2 Powers and Exponents • Factors – two or more numbers multiplied together. • Powers – Numbers expressed using exponents • Exponent – tells how many times a base is used as a factor. • Base – the common or repeated factor.

  4. Lesson 1-2 Powers and Exponents (cont.) Squared – a number raised to the second power Cubed – a number raised to the third power Evaluate – to find the answer or value of Standard Form – a number written without exponents Exponential Form – a number written with exponents

  5. Lesson 1-3 Order of Operations • Numerical Expressions – expressions that use only numbers • Order of operations – • Do all operations within grouping symbols first • Evaluate all powers • Multiply and divide in order from left to right • Add and subtract in order from left to right

  6. Lesson 1-4 Algebra: Variables and Expressions Algebraic Expression – an expression that contains numbers, variables, and at least one operation Term- the parts of an expression separated by plus or minus signs Coefficient – A number multiplied by a variable Constant – a term that does not contain a variable.

  7. 4x (4 is the coefficient) 6x + y – 10 (6 is the coefficient; 10 is the constant; the coefficient of y is one because 1 * y = y)

  8. Lesson 1-5 Algebra: Equations • Equation – a mathematical sentence that contains an equal sign • Solution – the value that makes an equation true • Solving an Equation – the process of finding a solution • Defining a variable – choosing a variable to represent an unknown

  9. Lesson 1-6 Algebra: Properties Equivalent Expressions – expressions that have the same value. 8(250) = 8(200) + 8(50) Properties – statements that are true for any number or variable. Distributive Property – To multiply a sum by a number, multiply each addend of the sum by the number outside parentheses. See example above Commutative Property – the order in which two numbers are added or multiplied does not change the sum or product. 5 x 11 = 11 x 5

  10. Associative Property – The way in which three numbers are grouped when they are added or multiplied does not change their sum or product. (5 + 4) + 6 = 5 + (4 + 6) Identity Property – The sum of an addend and 0 is the addend. The product of a factor and 1 is the factor. 5 + 0 = 5; 5 x 1 = 5

  11. Lesson 1-7 Sequences • Sequence – an ordered list of numbers. • Term – The number or shape in a sequence. • Arithmetic Sequence – each term is found by adding the same number to the previous term. 3, 5, 7, 9… (+2) • Geometric Sequence – Each term is found by multiplying the previous term by the same number. 4, 12, 36, 108… (x3)

  12. Lesson 1-8 Measurement: The Metric System

  13. Lesson 1-9 Scientific Notation Scientific Notation – used to express very large or very small numbers. A number between 1 and 10 times a power of ten. 4.83 x 102 is written in scientific notation. 483 is written in standard form. When changing from scientific notation to standard form, the exponent tells you how far to move the decimal point.

More Related