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Lesson Plans - Grade 7 Math

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A number like this [1.2.2] is a state benchmark for math. Click it to link to the benchmarks.
Look up the meaning of math terms [Here ]Link Graphic [and here!]Link Graphic 
1-22-2001
1. HW Order Fracts..2. Mixed Num Models.3. .................
4. .................5. .................6. .................

OBJECTIVE: Change mixed numbers to improper fractions and vice versa. (5-1, Pp174ff)[1.1.2] ACTIVITIES: Have students make models based on either a 1" unit square or a 1" circle for showing the mixed numbers and then the improper fractions - and the reverse. Follow up with the math shortcut of 'denominator times whole number plus the numerator all over the denominator.' NOTES: HOMEWORK: P582 lesson 5-1, problems 7-12
[Mixed <> Improper fractions Interactive]Link Graphic 

1-23-2001
1. HW582(5-1)7-12...2. .................3. .................
4. .................5. .................6. .................

OBJECTIVE: Estimate sums, differences, products or quotients of fractions and mixed numbers.(5-2, Pp178ff)[1.1.9] ACTIVITIES: Review the highlights of estimating (based on rounding) and extrapolate to fractions with either 1/2 as a number or without. Oral exercises in class. NOTES: HOMEWORK: P582 lesson 5-2 - ESTIMATE all of them! 

1-24-2001
1. HW582(5-2)all....2. P185 10-24.......3. .................
4. .................5. .................6. .................

OBJECTIVE: Add and Subtract Fractions(5-3, Pp182ff)[1.1.5] ACTIVITIES: Review the process used for comparing/ordering fractions - specifically the need for a COMMON denominator and EQUIVALENT fractions. Downplay the emphasis on LEAST CD. Have students practice skill in class. NOTES: model models again. HOMEWORK: p582 lesson 5-3. make models for the problems and solutions in column 1,
[Adding fractions Interactive]Link Graphic [ Subtracting fractions Interactive]Link Graphic 

1-25-2001
1. HW582(5-3)Models.2. PrFrac +/- Quiz..3. .................
4. .................5. .................6. .................

OBJECTIVE: Quiz on addition and subtraction of proper fractions[1.1.5] ACTIVITIES: Students will complete the quiz on adding and subtracting fractions. Answers are to be in lowest tems. Distribute cryptogram homework. They are to decrypt and solve the puzzle. NOTES: HOMEWORK: Cryptogram/Fraction Problem (see below) 

1-26-2001
1. HW CryptoProb....2. P188 24-29.......3. .................
4. .................5. .................6. .................

OBJECTIVE: Adding and subtracting mixed numbers(5-4, Pp186)[1.1.5] ACTIVITIES: Skills development - Emphasis on the mechanics of setting up the mixed number problems - walk through the steps...Be careful of abandoning the whole numbers. Review borrowing. Do 24- 29 0n page 188 NOTES:Don't forget the extra credit stuff! HOMEWORK: Make a model of #13 on page 188. Use the 1" square as the base unit one.

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No Problem Of the Week

  • [How to write a solution]Link Graphic
  • [Written problem scoring guide]Link Graphic
Unexplained answers receive NO credit!

Extra credit due 1/29, 1-3 credits if accurate.

Make a presentation which demonstrates the concept of a fraction and a corresponding mixed number in one-, two- and three-dimension models. Be sure to lable all parts, make charts and or diagrams/dioramas as necessary.[1.1.5][1.2.1]

Extra, Extra credit. [Download this program (MS-DOS/Windows)]Link Graphic And use it to find out what kind of fraction denominator various numbers make. For example, 3, as a denominator makes a repeating decimal. 7 does too, but it is more than one number before the pattern repeats. The program asks you how many places after the decimal point you wish to solve to. These are the screen prompts:

Solve 1/n to how many places? [the numerator is 1 because, if it is a repeating decimal, the answer will be a multiple of the 1/n answer.]

Enter your denominator:

At this point, the program will give you the prime factors of the denominator, then it will solve the problem to however many places you desire.

You have two choices:

  • 1. Make a list of denominators which generate repeating decimals which repeat 1 numeral, then 2 numerals, then 3 numerals, etc. until you have a list of 10 denominators, the last of which contains a series of ten digits before it repeats. Be sure to explain how you chose your numbers.

    or

  • 2. Find a denominator which does not appear to repeat in the first 100 places.. Be sure to explain how you chose your numbers.

This is due no later than end of class on 29 January and is worth from 3 to 5 extra credits. Work from now until January 29 must be kept current.

Cryptogram 1-25-2001- Decode and then solve the problem:

Rwtz gzk wxjge yjgt-uiuepz jy epk kuktha rjuzgqkd xa epk etwuzljteweiju iudgzeta. Xgzkz wud etwiuz gzk juk-zinep. Pjc qgrp qjtk kuktha iz gzkd xa rwtz epwu xa xgzkz wud etwiuz? Pjc qgrp qjtk kuktha iz mkye yjt gzkz xa jepkt yjtqz jy etwuzljteweiju misk witlmwukz, xjwez wud qjejtrarmkz? Zpjc epk ltjxmkq zke glz, epk rjqqju dkujqiuwejt gzkd, wud ctiek kwrp wuzckt iu w zklwtwek zkuekurk.