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Factors of 100 – Patterns with Arrays, Factors and Multiples Unit 4.OA.B.4

Rated 5 out of 5, based on 102 reviews
5.0 (102 ratings)
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Desktop Learning Adventures
1.7k Followers
Grade Levels
4th - 6th, Homeschool
Standards
Formats Included
  • PDF
Pages
20 pages
$6.50
$6.50
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Desktop Learning Adventures
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What educators are saying

This is a great activity, but it is more geared for grades higher than fourth. Though some of the activities can be extrapolated and used in fourth, it is not fully appropriate for the grade level
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  1. If you're looking for a way to take kids from concrete to abstract thinking, Factors of 100 and Divisibility Rules is the way to go. Students are reminded that math is a language that can explain what they are seeing. Teaching these units consecutively gives students a solid background with patterns
    Price $8.95Original Price $11.45Save $2.50

Description

Factors of 100 is a week-long unit that creates a natural bridge from building arrays to establishing patterns with factors and multiples on a 100s table. Students are motivated to find all the factor pairs, as they self-check their work and make corrections, all the while noticing patterns within the table. It's a nice lead-in to division and fractions.

There is built-in homework, computation practice, class discussions, and a final written assessment. It's a good beginning of the year reminder or pre-assessment for 5th & 6th grades, as they articulate the patterns found in the tables.

The unit includes arrays, factor pairs, proper factors, square numbers, prime, composite, abundant, deficient & perfect numbers, as well as multiples.

You will find extensive teaching notes, answer keys, and ideas for uses beyond the initial unit, such as LCM and GCF.

I've used it annually, at the beginning of the year, with my 6th graders as a refresher/reminder of all the pattern connections and vocabulary. I've also used parts of it with high 3rd graders who enjoyed the challenge of figuring out the patterns. The final product makes a year-long reference tool.

CCSS Math 4.OA.B.4, MP1

This unit is also part of the product, Factors of 100 Unit & Using Divisibility Rules Bundle which includes Multiples of 11, a fun extension activity looking for patterns in the multiples of 11.

You might also be interested in my Crack the Code puzzles. These activities offer a fun way to practice a variety of math skills while solving for various quotes.

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Total Pages
20 pages
Answer Key
Included
Teaching Duration
1 Week
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Standards

to see state-specific standards (only available in the US).
Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.
Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. Older students might, depending on the context of the problem, transform algebraic expressions or change the viewing window on their graphing calculator to get the information they need. Mathematically proficient students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends. Younger students might rely on using concrete objects or pictures to help conceptualize and solve a problem. Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, "Does this make sense?" They can understand the approaches of others to solving complex problems and identify correspondences between different approaches.

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