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Notes from week of 9-10

Addition and subtraction are about combining like terms.

• you can add 2 cats + 2 cats
• you cannot add 2 cats + 3 dogs until you find a 'like term', for example, you can change cats and dogs to animals. Now they can be added as animals
• For fractions, like terms would be common denominators
• The easiest common denominator is one denominator x the second denominator
• After finding common denominators, you must make equivalent fractions.
• Equivalent fractions are made by multiplying a fraction x some form of the number 1
  
  

• you do not add the denominators - denominators are the name of the part. Numerators are the number.
• Always put fractions in simplest form (reduce)
• Subtracting fractions is the same as adding up to this point, the difference is you subtract the numerators.
• For subtraction of whole numbers, you always subtract the right or lower number from the left or upper number:

345 - 29      345
              -29

Whole numbers = borrowing is based on place value, the amount you borrow depends where the location (place) of the numeral.

Borrowing with fractions is always borrowing 1. The one must be changed to the common denominator

Decimal numbers are also about combining like terms. This is accomplished by lining up the numbers based on the deimal point. A suggestion is after you line them up, match the lengths with zeros.

12.4 - 6.342 ---> becomes

 12.4
- 6.342 (the lineup)

 12.400
-06.342  (matching lengths)
 

9/17/2007 Math 2
1. HOMEWORK Due today: Mixed worksheet
2. Warm-Ups: Math Facts
3. Fraction and decimal multiplication

OBJECTIVE: 1.1.3 Understand and use the inverse property of addition on integers (W) and the inverse property of multiplication on non negative decimals or fractions. 1.1.6 Apply strategies or uses computational procedures using order of operations to add, subtract, multiply, and divide non negative decimals and fractions. 1.1.7. Apply strategies and uses tools to complete tasks involving addition and subtraction of integers and the four basic operations on non negative decimals and fractions. ACTIVITIES/ASSESSMENT: Review notes on multiplication of fractions and decimals (to include alignment) NOTES: Students need to compile/summarize notes. HOMEWORK: 3.45 x 1.2 and 3/7 x 1-2/3 Show Work

9/18/2007 Math 2
1. HOMEWORK Due today: 3.45 x 1.2 and 3/7 x 1-2/3 Show Work
2. Warm-Ups: Math Facts
3. Decimal and fraction division problem writing
4. Decimal and fraction division review

OBJECTIVE: 1.1.3 Understand and use the inverse property of addition on integers (W) and the inverse property of multiplication on non negative decimals or fractions. 1.1.6 Apply strategies or uses computational procedures using order of operations to add, subtract, multiply, and divide non negative decimals and fractions. 1.1.7 Apply strategies and uses tools to complete tasks involving addition and subtraction of integers and the four basic operations on non negative decimals and fractions. ACTIVITIES/ASSESSMENT: Distribute Text Variables and Patterns NOTES: HOMEWORK: 7 ÷ 4.26 and 3-1/3 ÷ 5/6 Show work

9/19/2007 Math 2
1. HOMEWORK Due today: 7 ÷ 4.26 and 3-1/3 ÷ 5/6 Show work
2. Warm-Ups: Math Facts
3. Naming numbers
4. Text Introduction

OBJECTIVE: 1.1.3 Understand and use the inverse property of addition on integers (W) and the inverse property of multiplication on non negative decimals or fractions. 1.1.6 Apply strategies or uses computational procedures using order of operations to add, subtract, multiply, and divide non negative decimals and fractions. 1.1.7. Apply strategies and uses tools to complete tasks involving addition and subtraction of integers and the four basic operations on non negative decimals and fractions. ACTIVITIES/ASSESSMENT: Review reading numbers (specifically decimal numbers) and writing then with words. Distribute Text Books. VAP NOTES: Students are to read pages 5 to 9 and summarize the four steps listed for making graphs. HOMEWORK: Make an empty graph of the activity listed in 1.1 (Summarize from reading)

9/20/2007 Math 2
1. HOMEWORK Due today: Make an empty graph of the activity listed in 1.1 (Summarize from reading)
2. Warm-Ups: Math Facts
3. Page 10 Problem 1 Class activity
4. Need ruler/graph paper

OBJECTIVE: 1.1.3 Understand and use the inverse property of addition on integers (W) and the inverse property of multiplication on non negative decimals or fractions. 1.1.6 Apply strategies or uses computational procedures using order of operations to add, subtract, multiply, and divide non negative decimals and fractions. 1.1.7. Apply strategies and uses tools to complete tasks involving addition and subtraction of integers and the four basic operations on non negative decimals and fractions. ACTIVITIES/ASSESSMENT: Start page 10 problem #1 as a class activity. List the four steps in 1.2, add step 5. label everything. NOTES: HOMEWORK: Page 11 problem 2a. Use Complete Sentences

9/21/2007 Math 2
1. HOMEWORK Due today: Page 11 problem 2a. Use Complete Sentences
2. Warm-Ups: Math Facts
3. Basic Skills Review Test
4. Page 11 Problem #3 a-d in assigned groups

OBJECTIVE: 1.1.3 Understand and use the inverse property of addition on integers (W) and the inverse property of multiplication on non negative decimals or fractions. 1.1.6 Apply strategies or uses computational procedures using order of operations to add, subtract, multiply, and divide non negative decimals and fractions. 1.1.7. Apply strategies and uses tools to complete tasks involving addition and subtraction of integers and the four basic operations on non negative decimals and fractions. ACTIVITIES/ASSESSMENT: Basic Skills Review Test. Start on Page 11 Problem #3 a-d in assigned groups NOTES: HOMEWORK: Handout: What's the Point A (document your solution)