Section 1.5
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Parametric equations allow functions to be defined using a third variable t, called a parameter, to define both x and y values. For example, a function can be defined parametrically as x=f(t) and y=g(t). Inverse functions relate each element of an ordered pair (x,y) to another ordered pair by reflecting points across the line y=x. This is known as the inverse reflection principle. Inverse functions satisfy the horizontal line test, meaning each x value corresponds to only one y value.
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Pa section 1.6
The document defines and provides examples of calculating the median, mode, and range of data sets. It explains that the median is the middle value of a data set in numerical order, or the mean of the two middle values for an even number of values. The mode is the value that occurs most frequently. The range is the difference between the greatest and least values. Examples are provided to demonstrate calculating each metric for temperature and score data sets.
Pa section 1.6
The document defines and provides examples of calculating the median, mode, and range of data sets. It explains that the median is the middle value of a data set in numerical order, or the mean of the two middle values for an even number of values. The mode is the value that occurs most frequently in a data set. The range is the difference between the greatest and least values. Examples are given of calculating each for a set of monthly temperature data.
Alg 2 section 1.6
The document discusses solving linear inequalities and includes three topics: forms of linear inequalities, compound inequalities, and homework assigned which includes odd numbered problems 23 through 33 and 37 through 47 on page 45 of the text.
Pc sections p.6-p.7
This document lists key properties of numbers and operations covered in two sections. Section P.6 covers commutative and associative properties of addition and multiplication as well as the distributive property of multiplication over addition and subtraction. Section P.7 directs students to complete specific math problems from two different pages focusing on odd numbered questions.
Alg 1 sections 1.5-1.6
1. This document discusses different ways to represent functions including equations, tables, and mapping diagrams. It provides examples of each.
2. Strategies for solving problems are outlined, including using formulas, patterns, and drawing diagrams. Specific math problems are provided as examples.
3. Homework assignments are listed at the end, including problem numbers from pages 31-32 and 38-39.
Alg2 sections 1.4-1.5
This document provides an overview of rewriting formulas and equations. It includes sections on common formulas, solving for variables, examples to practice, and application problems. Formulas covered include distance, temperature, areas of shapes, and circumference. It also discusses strategies for problem solving like using formulas, patterns, and diagrams. Sample problems are provided for average speed, finding heights from a pattern, and positioning posters on a wall. The document concludes with assigned homework problems.
Pc sections p.4-p.5
This document provides an overview of topics in algebra including:
1) Different forms of equations for lines (slope-intercept, point-slope, etc.) and quadratics (general, vertex).
2) How to determine if lines are parallel or perpendicular.
3) Methods for graphing and solving linear and quadratic equations (finding intercepts, using a graphing calculator, extracting roots, using the quadratic formula).
4) An example word problem on investing money with different interest rates and determining the amount to invest to earn a target return.
5) Assigned homework problems from the textbook.
Alg1 sections 1.1-1.2
This document summarizes key concepts from sections 1 and 2 of chapter 1 including:
- PEMDAS order of operations with parentheses, exponents, multiplication/division, addition/subtraction.
- Definitions of powers/exponents as repeated multiplication with a base and exponent.
- Examples of evaluating expressions and algebraic equations.
- Formulas for estimating a frog's jump distance, points earned in soccer, and adult height based on childhood height.
- Practice problems listed for pages 5-7 and 10-12.
Pa sections 1-2
The document provides instructions for performing mathematical operations including addition, subtraction, multiplication, and division. It lists common words and phrases used to indicate each operation, such as "add", "subtract", "double", and "divide". It then provides two examples of multi-step operations where the reader writes down a number and performs successive operations of doubling, adding, subtracting, and dividing the number.
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Section 1.5
- 2. Defining a function Parametrically Another way to define functions or relations is to define both elements of the ordered pair (x, y) in terms of another variable t, called a parameter.
- 3. Example
- 4. On the ti-84
- 7. Inverse Functions The Inverse Reflection Principle The points (a, b) and (b, a) in the coordinate plane are symmetric with respect to the line y=x. The points (a, b) and (b, a) are reflections of each other across the line y=x.