A Math Look™

Fluency

Use Numbers in the News to Build Math Fluency

1. Identify the UNIT

2. Identify the key numbers

3. Encode the number on the place value chart

4.  Write the number in Standard Notation

5. Write it with the digits and place: ex. 3 hundred

6. Words spoken

7. Words written

8. Model with money

9. Expanded Notation

10. International System Prefix

11. SI Symbol

12. Power of ten (Scientific  Notation)

13. Prime Factorization

14. Addition Equation

15. Multiplication Equation

16. Algebraic Equation

17. Fraction

18. Mixed Number

19. Decimal

20. Percent

Count-by Sequence:

$1; $2; $3 ($2+$1); $4 ($2+$2); $5; $6 ($5+$1); $7 ($5+$2); $8 ($5+$2+; $1); $9 ($5+$2+$2); $10; $11 ($10+$1); $12 ($10+$2); $13 ($10+$2+$1); $14 ($10+$2+$2); $15 ($10+$5); $16 ($10+$5+$1); $17 ($10+$5+$2); $18 ($10+$5+$2+$1); $19 ($10+$5+$2+$2); $20; $25 ($20+$5); $30 ($20+$10); $35 ($20+$10+$5); $50; $100; $150 ($100+$50); $1,000; $10,000; $100,000; $500,000; $1M; $10M; $100M; $1G; $10G; $100G; $1T; $10T; $100T; $1P; $10P; $100P

Scope & Sequence

You are going to play with money to become fluent in the language of mathematics. The more ways you can explain an idea, the more fluent you are in the language.

Throughout the exercises, you are going to be using many different ways to SHOW and DESCRIBE and WRITE about what you have done. 

The student is learning skip counting, fact  families, multiplication facts, addition facts, number composition and decomposition, standard notation, equations, basic operations, patterns, relationships, visual-spatial and verbal reasoning, unit conversion, equivalency, and the language of mathematics - verbal, operational, and symbolic.

Start with $1 bills.

  Count them out into patterns of 5 in a serial fashion, "1, 2, 3, 4, 5..."

  Stop and record the amount counted on the place value chart in the ONES PLACE.

  Now, write what you just did in SYMBOLIC FORM on the board:

  1 + 1 + 1 + 1 + 1 = 5; 1 x 5 = 5; 5 x 1 = 5

  Keep counting $1s until you reach 9.

  Stop and write the 9 in the ONE's COLUMN of the place value chart.

  Update the equations on the board:

  1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 9; 5 + 4 = 9;  1 x 9 = 9;  1 x 5 + 1 x 4 = 9;  9 ÷ 1 = 9

  Now add a tenth $1 so you have 2 complete sets of 5 on the table.

  How will you update the chart to show that you have 10 ones, if you can only place 1 digit in a place value parking space?

  You put your finger on the Ones' Place and write the number 10, so that the number 10 ends in the Ones' Place. 

  Now describe what you have:

    I have 1 set of 10.

    I have 10 ONES.

    Trade the ten ONES in for a $10. bill, then have 1 TEN and 0 ONES.

   Update the equations:

    1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 10; 1 x 10 = 10;  5 + 5 = 10; 5 x 2 = 10; 10 ÷ 1 = 10; 10 ÷ 2 = 5; 10 ÷ 5 = 2; 3 + 2 + 3 + 2 = 10; 3 x 2 + 2 x 2 = 10; 6 + 4 = 10;  4 + 1 + 4 + 1 = 10; 4 x 2 + 1 x 2 = 10; 8 + 2 = 10; 10 - 8 = 2; 10 - 2 = 8; 10 - 3 = 7; 10 - 7 = 3; 10 - 4 = 6; 10 - 6 = 4; 10 - 5 = 5; 10 - 1 = 9; 10 - 9 = 1