# Mathematics

## Jim Mamer: 7th Grade | Inside the Classroom: Math

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See math made fun with seventh grade math expert Jim Mamer. Watch math strategies that help kids conquer new topics like rational numbers, expressions, and linear equations.

## Ideas in Action: Get a Second Sentence

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This video from Making the Case explains and illustrates the value of expecting students to give second sentences, such as justifications and explanations of their reasoning. This builds their ability to make arguments and critique the arguments of others, the goal of Standard 3 of the Common Core Standards for Mathematical Practice.

## Place Value Chart: Modeling 2-Digit & 3-Digit Addition and Subtraction

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Becoming comfortable with two-digit and three-digit numbers is an important skill in second grade. Your child will master addition and subtraction problems within one-thousand. But, how your child learns to understand addition and subtraction is very important.

If you look closely, a place value chart is a helpful tool to use before your child uses the standard algorithm. The place value chart teaches your child why the standard algorithm works. How powerful!

## MEECS Water Quality l Serial Dilution: Video Lesson 5

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Students perform a serial dilution to observe that even an extremely small concentration of a contaminant can still pose a threat to human health. (This video lesson highlights activity 5 from lesson 6 of the MEECS Water Quality Unit.)

## Ideas in Action: Hand it Over to the Students

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In this video from Making the Case, math teacher Melanie Smith describes and demonstrates how she structures her lessons so that she can leave the front of the classroom as soon as possible. This approach allows maximum time for students to work together in pairs and groups, increasing the opportunity for argumentation and critique, the goal of Standard 3 of the Common Core Standards for Mathematical Practice.

## Number Forms

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Part of using base-ten numbers correctly is understanding how to express the same number in different forms. This video demonstrates how to express base-ten numerals written in standard form, unit form, expanded form, and number name.

## Maria Leiss: 8th Grade | Inside the Classroom: Math

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Step inside Maria Leiss’ eighth grade math class. Get up close and personal with real-life approaches to pre-high school topics like linear equations, functions, and graphs.

## Argumentation and Review

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This video from Making the Case shows how teacher Nina Vasquez structures test review in her 12th grade AP Statistics Class at Everett Alvarez Jr. High School in Salinas CA. As her students work in groups and do peer grading, they both review and solidify their content knowledge, and refine their skill in making and critiquing arguments, supporting the Common Core Standards for Mathematical Practice.

## Foundation of Multiplication & Division

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Your child sets the foundation for understanding multiplication and division in second grade. The first layer in building this foundation is a concrete understanding. He will use objects as counters to create equal groups.

Making equal groups, drawing pictures, and using repeated addition all build a strong foundation for third grade, where your child will dive right into multiplication and division!

## Encouraging Debate

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In this video from Making the Case, teacher Chris Luzniak uses debate structures in his 12th grade pre-calculus class to engage students in argumentation and critique.