EngageNY
The Division Algorithm—Converting Decimal Division into Whole Number Division Using Mental Math
Make math much simpler with mental math methods. The 16th installment in a series of 21 looks at ways scholars can apply mental math to convert division problems into easier problems with the same quotient. Multiplying or dividing both...
Scholastic
Adding and Subtracting Ten
Developing fluency with basic addition and subtraction is fundamental to the success of all young mathematicians. This four-day lesson series begins with learners using ten-frames and hundreds charts to recognize patterns when adding and...
Carroll Country Public Schools
Ten Frame Practice
Ten-frames are great visual tools that support the development of number sense in young mathematicians. A multitude of ten-frames are included in this slide show that provide learners with practice with quickly and fluently identifying...
Illustrative Mathematics
Using Benchmarks to Compare Fractions
Introduce a new strategy for comparing fractions by analyzing Melissa's use of benchmarks. Walk the class through her process, calling on students to explain their understanding of each step she took. Then practice this method on two...
Birdville Independent School District
Friendly Numbers
There are a number of different strategies young mathematicians can use when adding two-digit numbers. This instructional activity focuses on making addition easier by rounding the addends to friendly numbers, with the resulting sum...
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Claim 3
Does the explanation make sense? Sample items highlight claim three, communicating reason, in the Smarter Balanced assessments. Teachers use the 16 items to help show pupils the importance of communication and reasoning within...
American Statistical Association
Happy Birthday to . . . Two?
How many people do you need in a room before two likely share the same birthday? Scholars consider this puzzle by analyzing a set of data. They ponder how to divide the data and determine the proper size of a group for this event to...
Arizona Department of Education
Introduction to Integers
Welcome to the backward world of negative numbers. This introductory lesson teaches young mathematicians that negative numbers are simply the opposite of positive numbers as they use number lines to plot and compare single-digit integers.
Virginia Department of Education
Powers of Ten
Investigate negative exponents of-ten. Pupils use the pattern of increasing powers of 10 to determine negative powers of 10. The scholars write the powers in expanded and product forms and make the connection to exponents using a...
Scholastic
Study Jams! Prime Factorization
Deepen the number sense of young mathematicians by exploring the process of prime factorization. Follow along with this step-by-step presentation that explains how factor trees are used to break a composite number down into its prime...
Curriculum Corner
“I Can” Common Core! 1st Grade Math
Any first grader can master the Common Core math standards with this checklist! With each standard rewritten as an affirmative I can statement, children are provide with clear goals to work toward throughout the school year.
Display an...
University of Minnesota
Fraction Operations and Initial Decimal Ideas
Add another strategy to the toolboxes of young mathematicians with this elementary math lesson on using number lines to add and subtract fractions.
Differentiation Central
Perimeter and Area
Leave no student behind with this differentiated geometry unit on perimeter and area. Over the course of five lessons, young mathematicians explore these foundational concepts through a series of self-selected hands-on activities and...
BW Walch
Solving Systems of Linear Inequalities
One thing that puzzles a lot of young algebrists is the factors in a word problem that are taken as "understood". This presentation on solving systems of linear inequalities does a great job walking the learner through how to tease those...
BW Walch
Creating Linear Equations in One Variable
The example of two travelers meeting somewhere along the road has been a stereotypical joke about algebra as long as algebra has existed. Here in this detailed presentation, this old trope gets a careful and approachable treatment....
College Board
Engaging the Intuition in Statistics to Motivate
Motivation is key to learning. The author points out that it is important to engage intuition for aspects of statistics that pupils find counter-intuitive. Three strategies—using multiple representations, using intuitive analogies, and...
West Contra Costa Unified School District
Factoring Quadratic Expressions
Factor in different strategies in a lesson for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they can...
Illustrative Mathematics
Reasoning about Multiplication and Division and Place Value, Part 2
The learner puts reasoning and estimation to work. The directions are to place a decimal in the answer to make the equation true. Pupils are to look at the two problems, one multiplication and one division, and estimate an answer. No...
National Security Agency
Are You Game? A Lesson Connecting Fractions and Probability
Exactly how fair are the board games children grow up playing? Young mathematicians investigate this questions as they work their way through this five-lesson series on basic probability.
Illustrative Mathematics
Reasoning about Multiplication and Division and Place Value, Part 1
Help your class make sense of quantities and their relationships. Given is the product of two numbers. It is up to your number crunchers to think about the quantitative relationship when the product is one-tenth or ten times the product...
Illustrative Mathematics
Designs
A resource that makes for excellent group work as students explore the area and perimeter of different complex designs made up of squares and circles. The commentary gives a clear definition of perimeter, but suggests that group members...
Rational Number Project
Initial Fraction Ideas Lesson 18: Overview
Develop young mathematicians' ability to compare fractions with investigation into the number 1/2. After brainstorming a list of fractions equivalent to 1/2, children identify a pattern in the numerators and denominators that allows them...
National Security Agency
Introducing Integers and Their Operations
There's nothing negative about this mini-unit on integers! Engaging young mathematicians in a series of hands-on activities and collaborative learning opportunities, this resource offers an excellent way to introduce your class to...