This resource may be available in other Quantile utilities. For full access to these free utilities, visit www.quantiles.com/tools.aspx. The Quantile® Framework for Mathematics, developed by educational measurement and research organization MetaMetrics®, comprises more than 500 skills and concepts (called QTaxons) taught from kindergarten through high school. The Quantile Framework depicts the developmental nature of mathematics and the connections between mathematics content across the strands. By matching a student’s Quantile measure with the Quantile measure of a mathematical skill or concept, you can determine if the student is ready to learn that skill, needs to learn supporting concepts first, or has already learned it. For more information and to use free Quantile utilities, visit www.Quantiles.com.
1000 Park Forty Plaza Drive, Suite 120, Durham, North Carolina 27713 METAMETRICS®, the METAMETRICS® logo and tagline, QUANTILE®, QUANTILE FRAMEWORK® and the QUANTILE® logo are trademarks of MetaMetrics, Inc., and are registered in the United States and abroad. The names of other companies and products mentioned herein may be the trademarks of their respective owners.
Set A2 Number & Operations: Basic Multiplication & Division Blackline Use anytime after Set A2 Activities 1 & 2. Run a class set..
name
date
Set A2 H Independent Worksheet 4 Independent Worksheet
Fact Family Triangles
1
2 × 4 and 4 × 2 are 8. 8 ÷ 2 = 4 and 8 ÷ 4 = 2. Can you see how 2, 4, and 8 are related? That’s why they’re called a fact family. Each of the triangles below shows a fact family. Write 2 multiplication and 2 division facts for each family. The first one has been done for you.
Set A2 Number & Operations: Basic Multiplication & Division Blackline Run a class set
Independent Worksheet 4 Fact Family Triangles (cont.)
2
Several Fact Families went to the amusement park. One member of each family got lost. Write in the missing member of each family. The first one has been done for you.
example
a
48
6
3
8
12
Write in 6 because 6 × 8 = 48
Hint: 3 times what equals 12?
b
c 30
9
5
4
d
e 21
24
7
f
3
g 32
7
4
4
(Continued on next page.) A2.20 • Bridges in Mathematics Grade 3 Supplement
Set A2 Number & Operations: Basic Multiplication & Division Blackline Run a class set.
Independent Worksheet 4 Fact Family Triangles (cont.)
h
i 9
7
3
7
j
k 35
7
45 5
Challenge
3
Nine of the fact families whose members are all less than 100 have “twins” or two family members that are the same number. One of these families is 6 × 6 = 36 and 36 ÷ 6 = 6 Another is 3 × 3 = 9 and 9 ÷ 3 = 3 List the other fact families whose members are less than 100 that have twins. One of these families has triplets–which one?