# Formative Assessment Lessons (beta)

Read more about the purpose of the MAP Classroom Challenges… Mathematical goals This lesson unit is intended to help students to: Add and subtract directed numbers (positive, negative and zero) with understanding.Address common misconceptions about the addition and subtraction of directed numbers.Explain their reasoning using diagrams. Introduction This lesson unit is structured in the following way: Before the lesson, students work individually on an assessment task designed to reveal their current understanding. Materials required Each student will need a mini-whiteboard, pen and eraser, some blank paper and copies of the assessment tasks Directed Numbers and Directed Numbers (Revisited). Time needed 15 minutes before the lesson, a 90-minute lesson and 15 minutes in a subsequent lesson, or for homework. A draft Brief Guide for teachers and administrators (PDF) is now available, and is recommended for anybody using the MAP Classroom Challenges for the first time.

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Precise Project Estimates Are Impossible If only there was a tape measure for project estimates An interesting article over on the Hashrocket blog a couple of days ago grabbed my attention as in it they detail how they think upfront estimates (I’m assuming in both time and money) for projects are not only infeasible but also unfair to clients as, ultimately, they will be incorrect. Given that I’ve spent over seven years working in the web industry and can count on one trotter the number of projects that have ever been delivered bang on schedule, I’m inclined to agree.

Math and the Movies Main Page Movie Clips in the Mathematics Classroom Many of the students in today’s secondary (and college) classrooms grew up watching attention-grabbing, action-packed educational programs. These students now spend more hours in front of a video screen than they do reading books. No wonder students may find traditional mathematics education to be dull and boring. Fantastic Formative Assessment Tools that Give Great Feedback Formative assessments are an important way to meet our students' learning needs. When we can see what our students know (or don't know) we can better adjust our teaching to meet them right at their level. Beyond giving feedback, the best formative assessments help students recognize and value the process of learning, not just the outcomes. These reflective, metacognitive moments can foster kids' genuine excitement, engagement, and lifelong learning.

Tools Bill, My wife and I are currently assisting the Amphitheater School District with the training of their teachers from grade K to 6 on the Common Core Standards. We would love to have links in our PowerPoint presentations and PDF files (both of which we give to the teachers attending our classes) that went directly to a portion of the text or an illustration that we would like to provide as part of our lesson. For example, teachers have a hard time understanding the division of a fraction by a fraction. The 6.NS Traffic Jam illustration provides an excellent means of giving teachers some intuition about the division of fractions. How Good an Estimator Are You? Part II Here are the answers to the quiz presented in How Good an Estimator Are You? If you're concerned that a quiz like this has nothing to do with software development, consider: In software, you aren't often asked to estimate the volume of the Great Lakes or the surface temperature of the sun. Is it reasonable to expect you to be able to estimate the amount of U.S. currency in circulation or the number of books published in the U.S., especially if you're not in the U.S.?

Mathematics Annenberg Learner . The Annenberg Learner, from the Annenberg Foundation, is a collection of classroom resources sortable by discipline and by grade. From step-by-step lesson plans on a variety of topics from the Wild West to neuroscience to literature to multimedia resources, there is something here for all types of teaching and learning styles. Some of the resources here are free; to access complete programs, purchase is necessary. Applied Math , High School . The lesson, “ pyramid of pennies ,” starts with a video on a blog (written by another math teacher) read by a teacher.

Formative Assessments Formative Assessments are used to inform the teacher and the student. They are an informal diagnostic tool used by teachers to help guide and modify instruction. The importance of formative assessment is to help students gain understanding in their learning as well as give teachers a reteaching tool to offer clarity in a lesson. Math Project Ideas Offer Examples of Project-Based Learning These 160 math projects, from schools across the US, provide overviews, activities, assessment rubrics, work product descriptions, and ideas for reflection. Although they vary in format, you can adjust them to your students' learning situation, curriculum demands, etc. Projects from Teach21 PBL (West Virginia Dept of Education), and Math Matters in Indiana are very detailed and provide excellent project-based learning lesson plan templates. The projects are organized by topic and grade level, when available. Keep in mind that project-based learning lesson plans are usually cross-curricular. So for math, projects often incorporate STEM - science, technology, engineering and math - particularly in middle school and high school classes.

Laura Candler's Fraction File Cabinet Laura Candler's Fraction File Cabinet Printables, Activities, and Fraction Center Games In the Fraction File Cabinet folder you'll find a wide variety of engaging activities to use when teaching fractions. Many of them use cooperative learning strategies and work well in math centers. Most of the freebies don't include directions or answer keys, but you're welcome to use them to create your own classroom lessons. 33 Digital Tools for Advancing Formative Assessment in the Classroom I came across a great blog post the other day – Formative Assessments Are Easier Than You Think – that told the firsthand account of a teacher, Steven Anderson, who implemented formative assessment in his classroom. He used a sticky-note version of an exit ticket to elicit evidence of student learning and in his words, “what a difference that made.” Formative assessment is ‘easier than you think’ and with all the digital tools and apps now available for mobile devices it’s even easier. We’ve shared some digital tools before and with the five tools that Steven shared combined with our earlier suggestions there are now 33 digital tools that we’ve uncovered that are free or inexpensive and help teachers implement formative assessment in their classrooms. Here they are: A few of Steven’s discoveries:

Mathematics K-5 · CCGPS Mathematics Grades K-5 · CCGPS Mathematics Glossary Third grade teachers working on unit revisions at GaDOE (June 2013) 2013-2014 CCGPS Mathematics Unit Frameworks Teacher and Student Editions of the 2013-2014 CCGPS Mathematics Unit Frameworks were posted on July 1, 2013, to GeorgiaStandards.Org and Learning Village. These unit frameworks reflect the thoughtful collaboration and dedication of mathematics teachers, coaches, and supervisors from across the state of Georgia.

An Entire Interactive Notebook Warning: This is a LONG post, full of a gazillion pictures! Everything I read and/or hear about interactive notebooks is people asking "how do I do this?" I cannot stress enough that making interactive notebooks has to work for YOU, how YOU decide to use them. For me, in my opinion, teachers just need to do it. Seriously, it seems cliche' but it's true. Do it and then USE them in your classroom.

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