December 3, 2014
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This document contains an agenda for a math class that includes a warm-up, factoring practice, and two algebraic proofs. It lists the topics to be covered as warm-up/review, factoring, and algebraic proofs. It also notes that new Khan Academy topics are posted and class work is due. The warm-up includes solving inequalities, working with fractions in a word problem, and finding a width given a perimeter. Factoring and proof techniques are reviewed.
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May 9, 2014
Today's class focused on reviewing for the final exam with practice problems involving radical operations and radical equations. Students reviewed solving multi-step radical equations and simplifying radical expressions. They also worked on practice exam questions about consecutive numbers and the distance of baseball hits adding up to a total distance. The class work assigned for today was due.
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This document provides examples and explanations of different types of math problems and equations. It discusses spending the first three minutes of a problem analyzing it to understand the question, rules, and solving process. Various math problems are shown, such as expressions, equations with variables on both sides, decimals, fractions, and writing equations to solve word problems. Absolute value equations are also mentioned. The goal is explained as solving equations to find unknown quantities by performing operations like addition, subtraction, multiplication, division, and distribution.
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This document discusses average daily temperatures in different locations around the world. It includes the following key points:
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Today's class focused on reviewing for the final exam with practice problems involving radical operations and radical equations. Students reviewed solving multi-step radical equations and simplifying radical expressions. They also worked on practice exam questions about consecutive numbers and the distance of baseball hits adding up to a total distance. The class work assigned for today was due.
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- For most months, the average daily temperature changes by a few degrees. The smallest changes occur in November and January.
- The warmest days in New York typically rise to around what temperature. The daily temperature change in October is approximately what number of degrees.
- Tokyo sees its lowest average temperatures in what month. Punta Arenas' yearly temperature range can be shown with what type of expression.
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1) Solving systems of equations using graphing, substitution, and elimination.
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3) Examples of applying the quadratic formula to problems involving projectile motion and maximum height problems.
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1) Isolate the radicals by moving one to the other side of the equal sign
2) Square both sides to remove the radicals
3) Simplify the resulting equation
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5) The solution is x = 6
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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.
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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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2) Square both sides to remove the radicals
3) Simplify the resulting equation
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5) The solution is x = 6
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The document provides an agenda for the day that includes a final exam review covering topics like ratios, percentages, and word problems. It also covers reviewing radical operations through examples in the class notes and working through radical equations by solving examples step-by-step. The examples covered defining radicals, identifying the radicand, and solving equations involving radicals through isolating the radical term.
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The document provides a daily agenda and assignments for a math class. It lists that an alternative Khan assignment is due, there will be a test on Tuesday covering properties and proofs, and regular class work is due including warm-up exercises, a Khan assignment, and worksheets. It also provides examples of proofs to complete in a two-column format.
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This document provides information and examples about algebra rules and concepts including:
- Assigning variables to unknown quantities, such as assigning 'm' to the person who weighs the least.
- Identifying like terms in algebraic expressions as terms that contain the same variables raised to the same power, even if the coefficients are different.
- Providing formulas for perimeter and area of squares and triangles.
- Examples of translating word problems into algebraic expressions and equations, and simplifying expressions by combining like terms.
- A review of topics to be covered on Test #1, including simplifying expressions, solving simple one- and two-step equations, and translating sentences into algebraic representations.
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1) The document contains notes from a math class covering solving one-step inequalities using addition, subtraction, multiplication, and division. It includes examples of writing verbal phrases for inequalities and graphing the solutions.
2) Properties of inequalities are discussed, including the addition, subtraction, multiplication, and division properties. It is noted that multiplying or dividing an inequality by a negative number flips the inequality.
3) Students are assigned to practice solving inequalities using these properties and graphing the solutions.
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The document is a review of parallel and perpendicular lines as well as inequalities and systems of equations from Khan Academy. It includes definitions and examples of parallel lines having the same slope, writing equations of parallel and perpendicular lines given points or existing lines, solving systems of linear equations, and representing inequalities on a graph. Worked examples are provided for identifying parallel and perpendicular lines, graphing inequalities, and solving word problems involving systems of linear equations.
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- Sample mixture problems are presented involving candy prices and grass seed prices to calculate unknown amounts based on total values.
- Formulas and step-by-step workings are shown for solving the mixture problems.
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This document provides an overview of topics to be covered in class today including: final exam review problems involving solving rational equations, simplifying rational expressions, and adding/subtracting rational expressions. Students are also assigned to complete class work from the previous day and Khan Academy problems for homework due tomorrow. The final note indicates that all practice problems come from the Algebra II workbook.
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This document contains notes and practice problems for a math lesson on percents. It includes examples of finding percent increases and decreases, percent discounts and markups, and solving proportions involving percents. Warm-up questions ask students to find 70% of 1/2 and change fractions and percents to decimals. The document then provides examples and practice problems for students to work through related to percents.
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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.
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December 3, 2014
- 1. Today: Warm-Up/Review (6) Factoring: (4) Algebraic Proofs (2) December 3, 2014 New Khan Topics Posted; Due December 9 Class Work 2.1-2.4 Due today for full credit
- 2. Khan Academy Note: On Your Phone: KhanAcademy.org/search
- 3. Warm-Up: 1. What is the solution set to |x – 3|< 1? 2. Eighty students took an exam. One-fourth of the students received an ‘A’. Of these, one-fifth got a perfect score. How many students received a perfect score? 3. ퟗ ퟐ - ퟒ ퟕ 4. The length of a rectangle is 2 less than 3 times the width. The perimeter is 60 inches. Find the width.
- 4. Warm-Up: 5. 2 ퟐ ퟓ ÷ 1 ퟏ = 5 ퟕ
- 6. Review Properties F C F,H E A I G G D, H D
- 7. Proofs (2):
- 8. Proof # 1 Given: 2t + 3 = 7, Prove: t = 2 Statements Reasons 2t + 3 = 7 Given 2t + 3 – 3 = 7 – 3 Subtraction Prop. Of Equity 2t = 4 Substitution 2t/2 = 4/2 Division POE t = 2 Substitution
- 9. Write a two-column proof. If then Proof: Statements Reasons 1. 1. Given 2. 2. Multiplication Property 3. 3. Substitution 4. 4. Subtraction Property 5. 5. Substitution 6. 6. Division Property 7. 7. Substitution
- 10. Class Work: Complete 2.5 Today