Unit 2: Using Mental Math
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This document discusses strategies for using mental math to solve whole number expressions. It provides examples of adding, subtracting, and multiplying whole numbers using strategies like rearranging terms, breaking numbers apart, and using compatible numbers. Students are assigned in-class work and homework problems applying these mental math strategies.
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The document provides an overview of what topics are covered in 2nd grade math including: addition, subtraction, telling time, money, measurements, fractions, multiplication, and division. It defines each math concept and provides one or two examples for teaching and practicing each topic. Suggestions for helping students with math are also included, such as using a calculator, breaking problems down, thinking critically, and checking answers.
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This document provides instruction on addition strategies for numbers within 20. It begins with defining key addition terms like addends, addition sign, equal sign, and sum. It then covers topics like the cumulative property of addition, counting forward on a 100 square chart and number line, and mentally counting forward. Examples are provided to illustrate changing the order of addends without changing the sum, counting the number of spaces forward from the first addend, and knowing addition number pairs that total 10 (like 5 + 5). Pre- and post-tests assess counting forward on a 100 square chart. Transfer tasks apply the strategies to new addition problems.
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This document provides instruction on subtracting positive and negative numbers. It begins by explaining that addition must be understood first. Positive numbers are represented by black tiles, and negative numbers by red tiles. Examples of adding positive and negative numbers are worked through. The document then covers subtracting positive numbers by relating it to addition. Finally, subtracting negative numbers is explained as being equivalent to adding a positive number of the same value. Several examples are shown step-by-step to reinforce the concepts.
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The document provides an overview of what topics are covered in 2nd grade math including: addition, subtraction, telling time, money, measurements, fractions, multiplication, and division. It defines each math concept and provides one or two examples for teaching and practicing each topic. Suggestions for helping students with math are also included, such as using a calculator, breaking problems down, thinking critically, and checking answers.
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This innovative work presents a "trigonometric hand trick" model to help students easily remember common trigonometric values. The model assigns specific angles to fingers on a hand diagram. Students can then use formulas based on the number of fingers above and below the angle finger to quickly calculate sine, cosine, and tangent values. The objectives are to help students recall values without rote memorization and to increase interest in mathematics learning. A procedure is provided to create the hand model using paper, markers, and glue. It is concluded that this creative approach can effectively teach trigonometric concepts while engaging students.
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1) The first student calls 1.
2) According to the pattern, the next student calls 2, as it is twice the one-digit number called.
3) The pattern continues down the row, with each subsequent student calling the next number according to the rules.
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Concrete-Picture-Abstract: Let use logical sequence.
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This document discusses order of operations in math and explains that multiplication and division must be performed before addition and subtraction to get the correct answer. It provides examples like 3 + 6 x 4, where following the order of operations (BEDMAS) gives the answer of 27 rather than 9 x 4 = 36. The document also lists several common mnemonics like PEMDAS, PLEASE EXCUSE MY DEAR AUNT SALLY, and BIG ELEPHANTS DESTROY MICE AND SNAILS that remind students of the proper order of operations.
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Unit 2 exploring multiples
This document discusses multiples and using a hundreds chart to solve problems about callers winning prizes in a radio contest. It explains that the 6th caller would not win a prize because 6 is not a multiple of 3 or 7. The 14th caller would win a hat since 14 is a multiple of 7. A hundreds chart is used to circle the multiples of 3 for t-shirts and cross the multiples of 7 for hats. More callers will likely win t-shirts since there are more multiples of 3 than 7 in the lower numbers. Key learnings are that multiples are found by counting on by the given number and a common multiple is a number that is a multiple of two or more numbers.
Unit 2 comparing and ordering numbers
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- 1. Math 6:Whole Numbers Using Mental Math to Add
- 2. Getting started 70 + 89 + 30 What mental strategy did you use to solve the expression? 572 – 131 What mental strategy did you use to solve the expression? 4 x 33 What mental strategy did you use to solve the expression? 5 x 18 x 20 What mental strategy did you use to solve the expression?
- 3. Connect –Ways to Use Mental Math Use mental math to add Rearrange and use compatible numbers. Compatible numbers are pairs of numbers that are easy to calculate. For example, add 60 + 35 + 40 You would first add 60 + 40 = 100 Then add 100+35 = 135.
- 4. Ways to Use Mental Math Use Mental Math to Subtract 687-464 When no regrouping is needed, start subtracting from the left. Use Mental Math to Multiply Rearrange and use compatible numbers. 4 x 19 x 25 =(4 x 25) x 19 =100 x 19 =1900
- 5. Ways to Use Mental Math Use Mental Math to Multiply: 6 x 27 Break one of the numbers apart to make numbers that are simple to work with. 27 = (20 + 7) (6 x 20) = 120 (6 x 7) = 42 120 + 42 = 162
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