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Algebra

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.
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Geometry

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.
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Measurement

DiRT Dash: Planning the Fastest Route across Various Terrains

6-8
The shortest distance between two points is a line. But what is the shortest time to travel between two points on different terrains? In this lesson, students will predict, estimate and then calculate the path that results in the fastest time to travel between two points when different terrains affect the fastest path. This lesson is designed as an introduction to the Calculation Nation® game DiRT Dash and prepares students to apply mathematics to improve their performance in the game.


 
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Measurement

Steps and Slopes: Measuring the Rise and Run of Steps to Calculate Slope

6-8
This lesson explores the concept of slope through a student-centered problem of data collection and evaluation. Students guess which of several flights of stairs is steepest, and then use measures of slope to test their hypothesis.
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Algebra

Bean Salad: Using Algebraic Reasoning to Determine Quantities of Ingredients

3-5
In this lesson, students use operations of whole numbers and/or fractions to determine the precise numbers of three types of dried beans needed to make salads. The use of manipulatives and partner activities provide differentiation and support learning for students of varying abilities.
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Algebra

Magical Magic Squares: Constructing Simple Magic Squares in Odd-Numbered Square Arrays

Pre-K-2, 3-5
In this lesson, students will use operations to discover patterns with integers in magic squares. They will apply what they have learned when building their own magic squares.
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Algebra

Walking to Class: Modeling Students' Class Schedules with Time-Distance Graphs

6-8
Students use their class schedules to create time-distance graphs by counting the number of walking strides they take from their lockers and timing themselves as they walk through their class schedules. They will use their graphs to answer questions about slope, x- and y-intercepts, and the meaning of horizontal and vertical lines. 
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Algebra

Odd Man Out: Identifying Sums of Numbers as Odd or Even

Pre-K-2, 3-5
In this lesson, students use a visual model using snap cubes or grid paper to build numbers in two columns to show whether they are odd or even. They then use the models to generalize about sums of odd and even numbers.
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Algebra

Polygons, Perimeter, and Patterns: Discovering the Algebra in Perimeter Patterns

3-5
In this lesson, students use pattern blocks to create polygon "chains" and calculate the perimeter of the trains as they get longer. The students will recognize and create patterns based on adding the same shape repeatedly to the train. The students then write algebraic expressions to describe the patterns.
LPgeneric
Algebra

Extending to Symbols

6-8
In Parts I and II of this investigation, students learn about the notion of equivalence in concrete and numerical settings. As students begin to use symbolic representations they use variables as place holders or unknowns. This part of the i-Math investigation illustrates the continued transition from the concrete balance view of equivalence to a more abstract view.