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Savvy Sellers and Spenders

3-5
This second lesson places students in the shoes of a real business owner. Students have chosen the products they want to sell, rented locations, and prepared advertising; now they get to experience the thrill of the sell as they spend their \$200 on stores' merchandise(s). Students experience real-world applications of adding and subtracting decimals while learning what it means to be a smart consumer.

Number Line Dancing

3-5
Project this lesson on a whiteboard and watch your students “number line dance” their way to fluency in estimation of products. The lesson is scaffolded to start students finding basic multiplication facts on a number line and ends with students estimating four digit products on a number line. Use the lesson to teach estimation of products or as a culmination of your own estimation of products lesson.

Tree Talk

3-5, 6-8
If a tree could talk, we could ask it how old it is. Here is a mathematical way to estimate the age of your schoolyard trees. Students will measure circumference of trees in order to find diameter and calculate age of local trees using a growth rate table.

Welcome to the Aquarium: Planning a Classroom Aquarium to Practice Decimal Operations

3-5
Students compute with whole numbers and and decimals as they make recommendations for buying an aquarium for the class. Students research the various materials needed for the aquarium and make plans based on their findings. They solve the problem while working within a budget.

What's the (Decimal) Point?: Using Models to Understand Decimal Place Value

3-5
In this lesson, students apply their knowledge of whole number place value to decimal place value by using different blocks to represent one whole. By using blocks other than the unit cube to represent one whole, decimal place value can be explored and understood in a concrete fashion.

Running with Dinosaurs: Computing Running Rates Using Body Measurements, Footprints, and Algebra

3-5, 6-8
Studying the behavior and motion of dinosaurs is obviously a challenge since these creatures are extinct. If researchers wish to examine the running velocity of a dinosaur, they must instead consider other evidence of dinosaur motion and make an indirect estimate. In this lesson, students will play the role of researchers who field test the Alexander Formula—a formula that uses paleontology data to estimate dinosaur running velocities. Students will serve as human analogues, making measurements on themselves, computing predicted running velocities using the Alexander Formula, and calculating their actual running velocities. They will then evaluate the accuracy of the formula by comparing estimated and actual running velocities for the class.

Chip Trading: Practicing Single-Digit Addition with Colored Chips Representing Ones, Tens, and Hundreds

Pre-K-2, 3-5
This kinesthetic lesson involves using models to practice regrouping and to reinforce place value understanding. Students work together to play games involving bases 10 and 5. Students will also interpret models as numbers.

Expand That Number!: Composing and Decomposing Numbers Using Standard and Expanded Form

Pre-K-2, 3-5
In this lesson, students learn to compose and decompose numbers into the hundreds place as they move from standard form to expanded form and back again. Students explore composing and decomposing numbers using base ten blocks and place value cards.

Times Square: Reinforcing Multiplication Skills Using Factors and Strategy

3-5, 6-8
In this lesson, students use their previous knowledge of multiplication to identify factors and form products. Students will use Illuminations’ Times Table to identify various patterns in a multiplication table. They will then play the Multiple Factors Game and Times Square to reinforce their understanding of factors and multiples.

Exploring with Math Trails: Using Pictures to Expand Students Awareness of the World

3-5
“Where’s the math?” This is a question that can be answered by students as they examine pictures from a virtual math trail. Expanding a student’s awareness of the world is emphasized throughout this activity. As students share thoughts and verbally express ideas, they are able to grow and communicate with other mathematically.