Numbers and Operations Teacher Resources

Find Numbers and Operations educational ideas and activities

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Here is an extensive set of teacher's notes to help you teach all about integers. Begin by introducing a number line and how it can be used to visualize positive and negative numbers. Talk about absolute value and the additive inverse concept. Finally, instruct your class about applying all four operations to positive and negative integers. Whereas there is nothing out-of-this-world in this resource, it is comprehensive and especially helpful if you are new to teaching these concepts!
Kindergartners listen to a rhyme in an ordinal and cardinal numbers lesson. After listening to the "Mary, Mary, Quite Contrary" song, they practice ordinal and cardinal numbers by matching flower tops to the correct stems. Next, they read All About Seeds or I'm a Seed and answer the provided comprehension questions.
Working in partners, scholars each build a two-digit number by taking 10-stacks and single cubes from bags and coloring them on a chart (provided). They then compare numbers and determine which is greater. Together, they calculate the difference between the larger and smaller numbers. Using academic language is emphasized: "greater than," "less than," and "the difference." An assessment rubric is included.
If your second-graders are learning about place value and number value comparisons, this set of engaging activities and worksheets will make your job easy!  Scholars use math manipulatives to estimate and then determine how many seeds a colony of Harvester Ants have gathered. They estimate the total number of sticks in a container, grouping them  in 100s, 10s, and 1s to make counting faster. Students also play math games during which they analyze three-digit numbers to 999. These six activities have students competing, moving, thinking, and having fun. Every print-out you will need is included.
Fifth in a mini math unit, this lesson develops number sense by having your class compose and decompose numbers up to five by creating meals with items from the food pyramid. On paper plates, they draw or glue pictures of different foods from two groups (or more) making addends that create a larger number. On the back, they write number sentences to represent their "meals." Various practice activities with 10-strips reinforce the concepts. You and your class will enjoy applying math concepts to food and nutrition!
This number sense and operations study guide provides notes and explanations as well as practice problems. In order to practice their math skills, learners write fractions as decimals, identify which number set a number belongs to, take square roots, and change decimals into rational numbers. This could be used as stand-alone activity and notes or as a tool to build a test around.
Here is an excellent activity on fractions, decimals, unit rates, proportions, and problem solving. In it, learners engage in six activities in an "investigation center." The activities are based on a fictitious trip to a bakery, and involve several important concepts of rational numbers and proportions. Outstanding blackline masters are embedded in the plan, which will make it easy to successfully implement the activity with your class.
Using the fun Mother Goose nursery rhyme "Baa Baa Black Sheep" and the book Sheep Out to Eat, your Kindergarten class will practice number matching and will also learn facts about sheep. Beforehand, create several laminated sets of of sheep numbered from 1 to 4 and write out on chart paper the full Mother Goose rhyme. Start the lesson by either singing or listening to "Baa Baa Black Sheep," then pass out the sheep/number cards and hold up a number and have the student with the matching cards come to you. This game can be played so each young learner has the opportunity to match each number. Then continue the sheep theme by reading Sheep Out to Eat, and following having a class discussion about sheep facts. Your little learners will learn facts such as why sheep are raised and what a female sheep is called. To further recall you can prompt your learners to answer some questions about the plot of the story and how sheep behave within it. The sheep matching cards could be used in a math center with a parent volunteer. 
Students practice simplifying fractions. They experience comparing fractions and ordering them on a number line. Students work on developing methods to estimate the values of fractions.
Fifth graders listen to a story about multiplication and play a multiplication game with counters. In this multiplication lesson plan, 5th graders review all four operations and practice multiplication problems.
Students review numbers, number systems and the number operations through the use of online webpages.
Fourth graders determine the difference between equations and non-equations. In groups, they are given the answers and identify the numbers needed to make the answer. To end the lesson, they complete an equation using the price lists of books.
Students explore the concept of patterns. In this patterns lesson plan, students use applets to manipulate tessellations. Students predict the next number in a sequence by recognizing patterns.
Students investigate the rules for finding sums, differences, products, and quotients of real numbers.  In the Pre-algebra/Algebra I lesson, students explore operations with real numbers as they use the dynamic capacity of the TI-nspire handheld to make and test conjectures regarding operational rules. 
Here is a terrific lesson which has your kids play an interactive CD-ROM or online game "The Maths Race," focusing on using mental math strategies to solve the problems in the game. In pairs they answer math problems by selecting the answer when presented with six possible choices, with the fastest student reaching the finish line first.
Seventh graders analyze responses to different types of problems. Using pictures and diagrams, they explore and model the division of fractions. Students examine situations that call for division whether with the whole numbers or with fractions.
Students identify the different properties of integers. In this algebra lesson, students solve problems using the correct order of operation. They differentiate between associative and commutative properties and give examples to prove their answers.
Young mathematicians respond to math problems presented on screen. They use the computer mouse, and are introduced to the computer program. Students are shown ten problems, along with ten possible answers. They click on an answer and drag it into position.
Students solve fractions using different operations. In this algebra lesson, students add, subtract, multiply and divide fractions. They relate fractions to solving equations and using reciprocals and inverse operations.
Students investigate modular clock arithmetic and cryptography. They perform basic operations in modular (clock) arithmetic and encode and decode messages using simple shift and affine ciphers.