Oct. 26
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1. The document provides an agenda for a math class that includes a warm-up, final exam review, and Khan Academy schedule. The warm-up contains two math problems - solving for v in an equation and finding the length of a rectangle given its perimeter and width. 2. It also lists "Final Exam Review Questions (5)" as another item on the agenda. 3. The class will review material from Khan Academy videos after the warm-up and exam questions.
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Tomorrow's class will cover graphing inequalities and absolute value functions. Students should complete and submit yesterday's assignment on car problems by tomorrow for full credit, and should ask questions if needed, though no more class time will be devoted to explaining that assignment. The final exam will require determining independent and dependent variables, constants, plotting points to find slopes, and answering questions. Students should prepare their notes, pencils and desks before beginning the exam.
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The document provides an overview of classroom activities for today which includes:
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The document provides notes and assignments for a math class, including a warm-up with math problems, notes on converting fractions to decimals and decimals to fractions, and assigning homework to write decimals as fractions and fractions as decimals. It also announces an upcoming test on multiplication and division and a Khan Academy session to review percents.
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The document provides instruction on solving quadratic equations using the quadratic formula. It introduces the quadratic formula as the ultimate method for solving all quadratic equations, including those deemed previously "unsolvable". The formula is presented as ax^2 + bx + c = 0, and students are walked through examples of plugging values into the formula and solving for x. While the quadratic formula can solve all quadratic equations, it requires memorizing the formula and being careful with signs and order of operations.
Dec. 2nd, 2013
The document provides an agenda and notes for a math class focusing on fractions, decimals, and percents. The agenda includes a warm-up on simplifying fractions, working on class work problems focusing on fractions, and reviewing Khan Academy topics on the fraction, decimal, and percent unit. The class notes include reviewing ways to convert fractions to decimals, memorizing common fraction conversions, and practicing mental math skills for finding percentages of numbers by moving the decimal point.
October 30, 2013
This document provides a math word problem asking how many weeks it will take for Spencer, who starts with $100 but spends $2 per week, to have less money than Sabrina, who starts with $50 but saves $3 per week. It shows setting up the inequality 100 - 2W < 50 + 3W and notes that to solve it, the sign of the inequality should be flipped and the value on the other side negated.
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The document contains class notes and practice problems on solving various types of equations, including:
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November 21, 2013
The document provides information about fractions including definitions, examples, and formulas for adding and subtracting fractions. It discusses that fractions represent a part-whole relationship and can be placed on a number line between 0 and 1. Formulas are given for adding and subtracting fractions with the same or different denominators. The document also includes a class work assignment involving labeling fractions on a ruler and solving fraction equations.
Feb.4
1. The document provides practice problems and review material on scientific notation, exponents, negative and zero exponents, monomials, and multiplying monomials.
2. It defines monomials as expressions with one term that cannot contain plus or minus signs, and explains that when multiplying monomials you multiply the coefficients and add the exponents of the same variables.
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November 25, 2013
This document contains class notes on decimals, fractions, and percents. It begins by defining decimals as fractions with denominators that are multiples of 10. It then defines percent and explains that fractions, decimals, and percents represent the same values but in different forms. The document provides instructions for reading, writing, and understanding the place values of decimals. It also gives methods for converting between fractions, decimals, and percents by moving decimals or dividing the numerator by the denominator. Examples are provided for converting specific values between these different forms.
January 14
The document provides a daily schedule and notes for a math class that includes reviewing graphing inequalities, practicing related questions on Khan Academy, and an introduction to parallel and perpendicular lines. It shares the students' time spent on Khan Academy problems over the past week and notes there will be a test this week on graphing inequalities and parallel/perpendicular lines. Examples are given for finding the equations of parallel and perpendicular lines.
May 5, 2014
- The document contains notes from math classes on reviewing quadratics, simplifying radicals, and working with square roots.
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April 3, 2014
The document provides examples and explanations for graphing quadratic functions. It begins with an overview of how the a, b, and c values in the quadratic function y=ax2 + bx + c impact the graph. Examples are then worked through step-by-step to show how to find the axis of symmetry, vertex, y-intercept, and additional points to graph the function. An application example models the height of a basketball shot as a quadratic function to find the maximum height and time to reach it. The document concludes with a check your understanding example modeling the height of a dive.
October 23, 2013
This document discusses multi-step and compound inequalities. It provides examples of solving multi-step inequalities by combining like terms and then solving for x. It also explains that for compound inequalities using "and", both inequalities must be true, and the solution set is the intersection of the two individual inequalities. An example of graphing the solution set of -1 < x < 2 is given.
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The document is a summary of a Khan Academy math lesson on ordering fractions, prime factorization, and working with fractions. It includes warm-up problems on ordering fractions, adding and subtracting fractions with different denominators, and multiplying and dividing mixed numbers. It defines key vocabulary terms like fundamental theorem of arithmetic, prime number, prime factorization, and greatest common factor. It provides examples of using prime factorization to simplify fractions by finding their greatest common factor. It also includes practice problems identifying numbers as prime or composite, writing their prime factorizations, and finding the prime factorizations of given numbers.
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The document provides an overview of topics covered in a math class, including:
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The document discusses quadratic equations. It begins by defining quadratic equations as polynomials of degree two that are set equal to zero. It then provides examples of identifying quadratic equations from collections of equations. Methods covered for solving quadratic equations include factoring, using the quadratic formula, and determining the nature of roots based on the discriminant. It also discusses writing quadratic equations in standard form and translating word problems into quadratic equations.
Monday, september 24, 2012
The document outlines the daily lesson plan for a math class which includes warm-up problems on solving equations, working through examples of adding, subtracting, multiplying and dividing equations, and explaining how to solve equations involving division. Students are provided practice problems to work through involving various equation types and instructed on the key steps to solving different kinds of equations.
Sept. 15, 2014
This document provides information and instructions for an upcoming algebra test. It discusses Khan Academy assignments that are due by Sunday at 7:00 pm. It also details the format and content of the test, which will be tomorrow and will include topics like order of operations, integers, simplifying expressions, translating expressions and equations, and identifying parts of algebraic expressions and equations. The document provides sample problems for a warm-up review covering these test topics.
September 23, 2014
This document contains notes and examples from a math lesson that covered several topics:
1) Simplifying expressions using order of operations and solving equations. Examples included 10 – 2 -3 + 36 ÷ 4 • 9 and -1 - 2 - 3 • 4 - 5 = -20.
2) Translating phrases to algebraic expressions such as "8 less than the square of a number" becoming x^2 – 8.
3) Solving fractional equations using the same process regardless of appearance, with examples like 1/3 x + 5/7 = 1/2.
4) Writing and solving word problems that can be translated to equations, such as one about Jay, Kay, and
Math-tanong CEER 2012 - Set 1 Solutions
The document provides solutions to 10 math word problems. Question 10 asks for the length of segment AE given that segment ED is 6 units, segment AB is 10 units, and angle ECD is 60 degrees. The solution notes that triangles CDE and EAF are both 30-60-90 triangles. It is determined that EF = 4√3, BF = 2√3, and AF = 10 - 2√3. Using the properties of 30-60-90 triangles, the length of AE is calculated to be 20 - 4√3 units.
Math-tanong CEER 2012 - Set 1 solutions
This document contains a practice math test with 10 questions and detailed solutions. It addresses topics like finding the least common multiple, calculating percentages from a pie chart, identifying perfect squares and cubes, substitution in algebraic expressions, calculating averages, and using properties of 30-60-90 triangles to solve for lengths in a geometry problem. The practice test provides step-by-step workings to demonstrate how to arrive at the answers as well as expert shortcuts for some questions.
Guía de ejercitación noveno
1. The document is a math guide with exercises on quadratic equations for 9th grade students.
2. It contains examples of determining if numbers satisfy quadratic equations and solving quadratic equations by factoring.
3. The exercises ask students to determine if given numbers satisfy various quadratic equations and to solve other quadratic equations by factoring.
Factoring Special Products in Difference of Squares
The document provides examples of factoring quadratic expressions of the form a^2 +/- b^2 into the form (a +/- b)(a -/+ b). It demonstrates factoring several quadratic expressions using this method, including expressions with coefficients other than 1. It also introduces a formula for factoring expressions of the form a^2 + 2ab + b^2 and applies this formula to one example. Finally, it factors one expression where the middle term is negative by distributing the negative sign appropriately.
7th PreAlg - L57--Feb10
1) The document provides instructions for an assignment that is due on February 17th and mentions an extra credit test.
2) It includes 5 warmup questions involving exponents, simplifying expressions, and graphing an equation.
3) The lesson explains how to multiply and divide terms with the same base by adding or subtracting their exponents, and provides 6 examples to solve.
1 2 part 2 Evaluating Expressions
This document provides instructions on evaluating expressions by substituting values for variables and simplifying. It includes examples of evaluating algebraic expressions by substituting values for variables a, b, and c. The document also defines key vocabulary like "evaluate" and provides practice problems and assignments for students to complete. It concludes by emphasizing that evaluating expressions involves substituting values before simplifying.
MATH: ORDER OF OPERATIONS
1. Student X was first in line, Student Z was second, Student Y was third, and Student L was last.
2. The order of operations is: multiply, subtract, square, multiply.
3. Order of operations dictates that exponents, multiplication/division from left to right, then addition/subtraction from left to right must be followed when evaluating expressions.
Solving Quadratic-Equation.pptx
The document provides information about an online math class, including:
- A prayer asking God for guidance and wisdom as students wait to be taught.
- Reminders for online class such as turning on cameras, being on time, muting/unmuting audio.
- The weekly task of answering pretest questions from the module.
- An overview of the math topic for the first week of quarter 1 - quadratic equations. It discusses methods for solving quadratic equations such as extracting square roots, factoring, completing the square, and using the quadratic formula.
March 15
The document summarizes different methods for factoring trinomials:
1. Factor the greatest common factor (GCF) out of a trinomial expression to simplify it. For example, 30x^3 + 5x^2 - 25x can be factored to 5x(6x^2 + x - 5).
2. A perfect square trinomial that is the sum of two binomials factors into the square of a sum, e.g. (x + 1)^2. A perfect square trinomial that is the difference factors into the square of a difference, e.g. (x - 4)^2.
3. The difference of two squares, where both terms are
Factorise quadratic equations 3
The document provides instructions for factorizing quadratic equations. It begins with examples of factorizing polynomial expressions. It then lists steps for factorizing quadratics in standard form using the difference of squares method. Students are assigned practice problems factorizing various quadratic expressions in their textbook. The learning objective is stated as factorizing quadratics with the difference of two squares method.
Topic 14 algebra
The document discusses rules for indices and factorizing algebraic expressions. It provides examples of:
- Multiplying and dividing terms with the same base using index rules like ab × ac = ab+c and ab ÷ ac = ab-c.
- Expanding single and double brackets by distributing terms.
- Finding common factors to group like terms.
- Factorizing quadratics and using differences of squares.
- Solving equations set equal to zero by factorizing.
Wed. 26th
1) The document is a student's Khan Academy progress report and homework assignments for the week. It includes time spent on Khan Academy each day, scores on recent problem sets, and upcoming homework topics.
2) The student needs to complete problems 2-4 and 2-5 from their math textbook and write topics to cover on Khan Academy this Saturday.
3) The final section reviews solving equations with fractions, showing an example of multiplying all terms by the denominator to clear the fractions.
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John bird higher engineering mathematics - 5e - remedial algebra
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Factoring Special Products in Difference of Squares
Factoring Special Products in Difference of Squares
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The document provides classwork and practice problems related to algebraic expressions and one-step equations. New vocabulary terms introduced are coefficient and like terms. Examples are given of adding and subtracting like terms. There are also practice problems for translating expressions, solving one-step equations, and word problems involving algebraic relationships between variables.
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This document provides instructions and examples for students on organizing their math notebooks. It includes examples of how to categorize different math concepts like properties, formulas, and vocabulary in the resource section. It also provides warm-up problems covering large and small numbers. Students are instructed to complete homework assignment 1.1 by the due date of August 23, 2016. They are also given examples of translating expressions and equations.
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August 18, 2016
This document contains reminders for school supplies needed by Monday, an overview of the 5 essential understandings of algebra, and 5 fraction practice questions. The 5 essential understandings are: 1) Algebra is a method for solving math problems, not the problems themselves. 2) Mathematics uses symbols as shortcuts. 3) Algebra rules come from natural number rules. 4) Algebra examines patterns and relationships between numbers. 5) Look for equality and use it to your advantage when solving problems. Mastering multiplication tables is also emphasized.
Aug 17, 2016
The document outlines the daily routine and learning process for a math class. It includes:
1. A warm-up with 4-5 review or new problems to introduce topics for the day. Class work is to be completed during class time and any unfinished work should be done outside of class.
2. New concepts are introduced through demonstration by the teacher, then practiced together through examples before students work independently.
3. Additional learning resources like online math sites are provided to support studying outside of class, since class time is limited to 60 minutes per day.
4. A short practice test is included covering translating expressions, order of operations, and fractions to gauge readiness.
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i) The document discusses various methods for solving systems of linear equations, including graphing, substitution, elimination, and cross-multiplication.
ii) It also addresses solving systems that can be reduced to linear equations, such as transforming non-linear equations using substitution.
iii) Examples are provided to illustrate each method for deriving the solution of a system of equations.
March 29, 2016
The document provides examples for solving systems of equations through various methods like elimination, substitution, and word problems. It demonstrates setting up systems as equations based on information provided, choosing an elimination method by adding or multiplying equations, isolating variables, substituting values, and checking solutions. Word problems are converted to systems of equations and then solved to find unknown variable values.
March 28, 2016
The document provides information about assignments and tests for today and upcoming dates. It includes notes about 4th quarter grade trackers, make-up tests during lunch, systems of equations lessons for some periods today and tomorrow, and distributing worksheets. The document also contains math content on solving systems of equations by graphing, substitution, and elimination.
March 31, 2016
The document discusses reviewing Khan Academy topics on systems of equations and solving 3x3 systems. It includes examples of solving systems of equations by elimination, addition, and substitution. Students will review methods, complete assignments, and take a five question quiz on solving systems of equations.
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The document provides instructions for practicing Khan Academy topics on systems of equations word problems. It also reminds the student to make progress on homework 4.1-4.2 which is due on Friday for full credit. Examples are given for solving systems of equations by substitution and word problems involving jeans/shirts and movie tickets.
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This document provides information about upcoming tests, review material, and math concepts to be covered in class. It includes:
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The document provides examples and steps for solving systems of inequalities and linear equations. It discusses graphing a single inequality, the steps for graphing systems of inequalities, and provides an example of solving a two-variable linear system of inequalities. Sample problems include determining the number of hours until costs are the same for two plumbing companies and graphing the inequality y < 5x + 1.
April 4, 2016
This document contains a daily agenda and warm-up problems for math class including:
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2) Review of fractions, inequalities, and solving multi-step equations.
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April 6, 2016
The document provides a review of topics related to solving systems of equations and inequalities including:
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April 1, 2016
This document contains examples of solving systems of equations word problems. It begins with a warm-up problem about a math test worth a total of 63 points made up of 2-point and 3-point problems. Then it provides steps for solving systems of equations, including labeling variables, writing equations, solving, and checking. Finally, it applies these steps to two word problems, one about movie tickets and one about flowers for Valentine's Day.
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The document provides instruction on calculating and interpreting slope. It defines slope as the ratio of rise over run between two points on a line. It gives the formula for calculating slope as the change in y over the change in x between two points. Several examples are worked out step-by-step to demonstrate calculating slope from graphs and point pairs. Key concepts covered include identifying horizontal and vertical lines that have slopes of 0 and undefined respectively.
February 18 2016
The document discusses various formulas used to represent lines in the coordinate plane, including:
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February 16 2016
The document provides information about an upcoming test on coordinate planes and linear functions. It includes:
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February 9 2016
The document outlines an agenda for a math class that includes a warm-up on missed test questions, learning about functions and their domains and ranges, using the vertical line test to determine if a relation is a function, and interpreting graphs. It provides examples of mapping relations to check if they are functions and using the vertical line test. Students are given practice problems to determine if relations are functions and to graph relations and use the vertical line test.
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Oct. 26
- 1. TGIF, October 26, 2012 Today: Star Math Information Warm-Up Final Exam Review Khan Academy Schedule
- 2. Warm-Up 1. Solve for v: -2vw + 2vx + 5v + 5 = -2w + 4 Analyze the problem first. What do you notice? A. Subtract 5 from each side. B. Factor out the v. C. Divide both sides by: -2w + 2x + 5 to get: v = - 2w - 1 D. Simplify top & bottom to get: -2w + 2x + 5 v = 2w+ 1 2w - 2x - 5 Does multiplying like that change the answer? Simplify & Compare: -5 - 1 ÷ 3 + 2
- 3. Warm-Up 2. First, rewrite the perimeter of a rectangle in terms of its length. Then, find the length of a field that is 50 yards wide and has a perimeter of 220 yards The solution is..... Final Exam Review Questions (5)