6th Math (C 1 - lesson 39
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The document contains a math lesson on multiplying decimals. It provides an agenda for the day which includes collecting homework, a daily lesson, and work time. The lesson explains that when multiplying decimals, you should not line up the decimal points, just multiply and the decimal in the product will be the total number of decimal places in the factors. It then provides examples simplifying decimal multiplication problems, with answers to follow for problems A through H.
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This document provides instructions and examples for solving equations. Students are assigned problems from lesson 1.5 in the notebook due on Monday. The warm-up evaluates algebraic expressions and identifies properties. Lesson 1.5 defines equations and solutions, explaining that to solve equations the variable must be isolated by simplifying and undoing operations. Example equations A through G are to be solved showing steps. Finally, tables of values are to be made for equations H and I using the set of numbers provided.
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The document discusses order of operations, which is the standard sequence for performing mathematical calculations involving multiple arithmetic operations. The order is: 1) Perform operations inside parentheses, 2) Evaluate exponents, 3) Perform multiplication and division from left to right, 4) Perform addition and subtraction from left to right. A mnemonic device - PEMDAS - is provided to help remember this sequence: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Examples are given to demonstrate applying order of operations to solve multi-step arithmetic problems step-by-step.
dynamic programming Rod cutting class
The document discusses the dynamic programming approach to solving the Fibonacci numbers problem and the rod cutting problem. It explains that dynamic programming formulations first express the problem recursively but then optimize it by storing results of subproblems to avoid recomputing them. This is done either through a top-down recursive approach with memoization or a bottom-up approach by filling a table with solutions to subproblems of increasing size. The document also introduces the matrix chain multiplication problem and how it can be optimized through dynamic programming by considering overlapping subproblems.
March 25, 2015
The document provides notes and examples on factoring trinomials of the form (ax^2 + bx + c) where a is greater than 1. It discusses three methods: grouping, using a box method, and trial and error. Students are reminded to complete their Khan Academy assignments by that night and that there will be new topics on Monday. They are also instructed to do the class work and study guide questions to prepare for their test.
7th Pre-Alg - Lesson 38
1) The document provides examples and instructions for solving equations. It explains that to solve equations, you must isolate the variable by using inverse operations. Inverse operations of addition is subtraction, and inverse of multiplication is division.
2) Several example equations are given to solve, including x + 1/2 = 3/4, x - 1.3 = 4.2, 1.2 = x/4, 3/5x = 1/4, and 5x = $4.50. Step-by-step workings are required to show the solving process.
3) Key steps in solving equations are identified as using inverse operations, with subtraction undoing addition and division undoing multiplication, in that
7th PreAlg - L50--Jan24
1) The document contains an assignment list that is due tomorrow including problems from Lesson 50 and an inventory assignment.
2) The warmup problems for Lesson 50 include solving equations, simplifying expressions, calculating kinetic energy, and finding a probability.
3) Lesson 50 reviews how to isolate the variable when solving equations by first undoing addition/subtraction before undoing multiplication/division, the opposite of the order of operations. Several example equations are provided to solve step-by-step and check the answer.
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The document provides information about an upcoming math test and review materials for a lesson on solving equations. It includes:
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2) Warm-up problems involving ratios, sets of numbers, and simplifying expressions.
3) An overview of how to isolate the variable when solving equations, including the order of inverse operations.
4) Example equations to solve with steps shown.
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- 1. Assignment: 1-->Set 39 (odds) - Due Monday (12/5) 2-->Test #5 - Tuesday (12/6) Agenda: โข Collectย Setย 38ย (evens) โข Dailyย Lesson โข Workย Time 1
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