A Math Look™
Dyscalculia Therapy & Math Fluency Program
Videos
Methods
Base-10 - understand through experience
Describe and reason with language (spoken and written words and symbols)
Count into easily recognizable patterns
Model numbers with place value chart and money
Student proves ideas to themselves, then confidently and successfully teaches others 4 times
PRACTICE
Chart the numbers in the sites below. Practice writing numbers many ways.
Headlines to Model
Materials
Language-enhanced Place Value Chart by Dyscalculia.org + Money Set for Modeling Numbers
Milli- Words 1/1000 Thousandth
Fractions Workbook I - coins: 1, 5, 10, 25, 50
Wet-erase Markers in green, blue, purple, black, orange, brown.
COINS ~ 15 dimes, 105 pennies; 6 quarters; 3 fifty-cent pieces; 25 nickels
Camera
Fluency
Use Numbers in the News to Build Math Fluency
Identify the UNIT
Identify the key numbers
Encode the number on the place value chart
Write the number in Standard Notation
Write it with the digits and place: ex. 3 hundred
Words spoken
Words written
Model with money
Expanded Notation
International System Prefix
SI Symbol
Power of ten (Scientific Notation)
Prime Factorization
Addition Equation
Multiplication Equation
Algebraic Equation
Fraction
Mixed Number
Decimal
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