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Arithmetic and Pre-Algebra Teacher Resources
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Help your class look for patterns as they create their own arithmetic and geometric sequences. Engage learners with an introductory discussion on sequences and use the applet to let them explore how sequences are formed. Teachers might consider beefing up the included worksheet before using the applet.
In this arithmetic and geometric progressions worksheet, students solve and complete 8 different types of progression problems. First, they determine whether each progression is arithmetic, geometric, or neither. Then, students find the sixth and twentieth terms and the sum of the first 10 terms of each sequence.
Students investigate modular arithmetic and how to use it to solve real world problems. In this modular arithmetic lesson, students use computers to work on modular arithmetic after a teacher guided lesson. They complete guided practice and independent practice by completing the associated worksheets.
Students explore the concept of modular arithmetic and cryptography. For this modular arithmetic and cryptography lesson, students use applets to explore modular arithmetic using a clock and Caesar Ciphers. Students exchange their ciphers with another student. Students solve their partner's message.
Turn learners into detectives as they decipher encrypted messages. Introduce your class to modular arithmetic and have a little fun encrypting and decoding secret messages. The activity does not hit many content standards, but would be an entertaining way to let learners be creative as they practice basic multiplication, addition, and subtraction.
Learners who view this video should gain a better understanding of the difference between a geometric sequence and an arithmetic sequence. The video includes an example of each, with step-by-step instructions on how to figure out which is which. The lecturer explains that you need a common ratio for the sequence to be geometric and a common difference for the sequence to be arithmetic.
Upper graders recognize, describe, create and extend repeating and arithmetic patterns. In these patterns/relationship lessons, students are actively engaged in the exploration of patterns as the sing, clap, and identify patterns in the teacher's "magic box". They use Tinker Toys, Lincoln Logs and explore patterns on the computer. They read Patchwork Quilt and make their own quilt patterns.
Help third graders master math vocuabulary! Start by reading the book Three Names and discuss the arithmetic vocabulary to create questions through think-pair-share activities. Third graders will then complete a worksheet with word problems. In the end, they will use the vocabulary words in complete sentences.