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Multiplication and Division / Multiples & Factors Scaffolding / Scratch Paper

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Grade Levels
3rd - 9th, Adult Education, Homeschool
Standards
Formats Included
  • PDF
Pages
1 page
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Description

PRINT INSTRUCTIONS: Printing may be optimized by scaling the document to 90 - 95% depending on your printer. This activity was designed to use all possible available space on a single 8.5x11 sheet.

This one-pager is designed to support students with multiplication and division during math assessments. The student should be allowed to complete as many of the exercises as necessary. Some students may not feel that all of the multiplication tables shown need to be filled in for their success. However they can still use the tables to work out problems needing greatest common factors and least common multiples or common denominators. Once the assessment is given, this sheet remains with him/her as a reference. The student will only be referring to what he/she already knows.

This exercise is an opportunity for the student to compile facts, tips, and tricks into one easily accessible reference.

THE NINES TRICK: For each of the circles, the student will write in a multiple of nine. The nines trick is to count to the circle matching the multiple needed and cover it (with a finger or pencil). To the left of the covered circle will be the number (of circles) belonging in the tens place. The number of circles remaining to the right are the digit belonging in the ones place of the answer. For example, if given 9 x 3 the student will cover the third circle. To the left will be 2 circles and there will be 7 to the right giving the answer of 27.

KEY

The student should fill all of the blanks in the text boxes:

Even numbers are always multiples of __2__.

Multiples of 5 ALWAYS end in __0__ or __5__.

Count by 5s like playing Hide 'n' Go Seek!

When multiplying any number by 10, you always add a __0 (zero)__.

Multiplication is just adding really fast!

If you are unsure, start with one you know. for the next highest multiple, ADD. For the lower one, SUBTRACT.

The plus sign (+) would go in the arrow pointing down the multiplication tables to denote the ability to just add to find the next multiple and the minus sign (-) would go in the arrow pointing up since the multiples would be getting smaller.  

Total Pages
1 page
Answer Key
Included
Teaching Duration
30 minutes
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Standards

to see state-specific standards (only available in the US).
Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
Fluently multiply multi-digit whole numbers using the standard algorithm.

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