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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.
10-2-2000
1. HW Ch-Objectives.2. Problem Week.....3. Problem Week.....
4. Math Fact Drill..5. .................6. .................

OBJECTIVE: Compare and order decimals(2-1, Pp48ff)[1.1.2] ACTIVITIES: Order decimals by a) matching lengths, comparing from the LEFT. Add information on fraction to decimal conversion for comparison purposes. Model the place value system as it applies to decimals. NOTES: HOMEWORK: HW P574 lesson 2-1, all
Place value graphic

10-3-2000
1. HW574(2-1)all....2. Math Fact Drill..3. Rounding Wksht...
4. .................5. .................6. .................

OBJECTIVE: Round decimals(2-2, Pp51ff). Estimate with decimals(2-3, Pp54)[1.1.8] ACTIVITIES: Discuss rounding. Practice worksheet(s) NOTES: Quick overview of including decimals in estimation. HOMEWORK: P574(2-2)col 2 and P575 2-3 col 3

10-4-2000
1. HW574(2-2&3)var..2. Page 59..........3. .................
4. .................5. .................6. .................

OBJECTIVE: Add and subtract decimals (Review, Pp58ff)[1.1.6] ACTIVITIES: Model with matching lengths. Emphasis on the need for zero place holders to ensure appropriate borrowing. Do some problems on page 59 Distribute Progress Report #2 NOTES: HOMEWORK: P60 Lesson 2-4a (students should have graph paper - use ruler to draw models - color or shade as appropriate)

10-5-2000
1. ProgReport #2....2. HW P60(2-4a).....3. .................
4. .................5. .................6. .................

OBJECTIVE: Multiply decimals (2-4, Pp61ff)[1.1.6] ACTIVITIES: Major emphasis on placement of decimal point. Model procedure - practice. NOTES: HOMEWORK: P575 (2-4) column 2

10-6-2000
1. HW575(2-4)col 2..2. Math Fact Drill..3. .................
4. .................5. .................6. .................

OBJECTIVE: Multiply decimals mentally by the powers of 10(2-5, Pp64ff)[1.1.6] ACTIVITIES: Review movement of decimal points as multiplication (and division) NOTES: HOMEWORK:(start in class) P66 Mid-Chapter review

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Problem of the week (check the scoring guide) The problem of the week is due next Monday. Students are to use diagrams, charts, and tables as needed. Explain the process used to solve the problem. Be neat.
The following problem was suggested by Dr Ron Knott while he was visiting the Math Forum from his home in Surrey, United Kingdom.

We need to start be defining a few terms that we will want to use. A run of numbers is a collection of whole numbers with no gaps in it, such as 2, 3 and 4; but not 5, 6, 8, 9 because 7 is missing and neither is 2, 3, 3 a run because 3 is repeated. Practically all numbers can be written as a SUM OF A RUN (we will not allow a run to start at 0). For example, 9 = 2 + 3 + 4, 10 = 1 + 2 + 3 + 4, 11 = 5 + 6 and we will call them RUNSUMS but there is no run with a sum of 4 or 8 (so 4 and 8 have no runsum). The questions you will need to explore:

  • What is the SMALLEST number that is a sum of a run of THREE numbers?
  • What is the SMALLEST number that is a sum of a run of FOUR numbers?
  • What is the SMALLEST number that is a sum of a run of FIVE numbers?
By spotting the pattern tell me the smallest number which is a sum of a run of ONE HUNDRED consecutive numbers. Here is the hard part, I want to know HOW you know.

Bonus: What is the SMALLEST number that is a sum of a run of "n" numbers?