Math
A few students need to finish up their math tests from today. Tomorrow your test will be primarily skills.
Grade 5:
LONG DIVISION

• Find the quotient 3-digit dividends / 1-digit divisor with and without remainders using standard algorithm and/or repeated subtraction

Examples:
674 ÷ 8

ESTIMATING PRODUCTS AND QUOTIENTS (High and Low Strategy)
Estimate 569 x 5 
500 x 5 = 2500
600 x 5 = 3000
569 is closer to 600 so the product is closer to 3000. I estimate it to be about 2700

Estimate 695 ÷ 9
Think of your 9 times table.
630 ÷ 9 = 70
720 ÷ 9 = 80
695 is closer to 720 so I estimate the quotient to be 77

MULTIPLICATION
Find the product 3-digit by 1-digit, 2 digit by 2 digit using standard algorithm AND area model.

Area Model: 31 x 24

Add 600 + 120 + 20 + 4 = 744

Standard Algorithm:

WRITING WORD PROBLEMS:

Write a word problem using 729 ÷ 9

Grade 4:

MULTIPLYING BY 10, 100 AND 100 
3 x 800 = 2400

DIVIDING BY 10 AND 100
5600 ÷ 10 = 560

A number is divided by 10. The quotient (answer) is between 30 and 40. What could the number be? Explain how you know.

Another number is divided by 100. The quotient (answer) is between 30 and 40. What could the number be?

ESTIMATING PRODUCTS 2-DIGIT BY 1-DIGIT (HIGH / LOW STRATEGY )
67 x 8 is between 60 x 8 = 480 and 70 x 8 = 560
Since 67 is closer to 70 I estimate it to be about 540

MULTIPLYING 2-DIGIT BY 1 DIGIT (Expanded form or standard algorithm)
5
67
x8
536

67             60 x 8 = 480
x8              7 x 8 =    56
                               536

DIVIDING 2-DIGIT BY 1-DIGIT NUMBER (Repeated subtraction /standard algorithm / splitting strategy)
Splitting:
96 ÷ 6
96 ÷ 6 = 60 ÷ 6 + 36 ÷ 6 = 10 + 6 = 16

Repeated subtraction:

6l96
   60 10 (10 x 6)              10 + 5 + 1 = 16
   36   
   30   5 (5 x 6)
     6
     6    1 (1 x 6)
     0

Standard Algorithm:

WRITING WORD PROBLEMS:

Write a word problem using 98 ÷ 7

I will finish the rest of the post after dinner.