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Illustrative Mathematics
Building toward fluency
Here is a great learning task that focuses on the development of areas in computational fluency including strategies in mental math. Young learners are guided through a list of addition expressions that help them visually understand the...
Curated OER
ReQuest Strategy: Reciprocal Questioning
Explore reciprocal questioning with this ReQuest comprehension strategy. After reading a passage, learners first question the teacher, trying to "stump" her. Then it is the teacher's turn to ask the pupils questions. All correct answers...
PBS
Adding Integers
Your sixth and seventh graders deepen their understanding of a number line and adding integers in this concrete, hands-on activity. Learners play "Warehouse Puzzle" and then discuss their game strategies and the characteristics...
Curated OER
The Sum of Our Integer Intelligences
Young mathematicians explore integers. They review adding integers through engaging in mathematical labs. Each lab station is designed to reflect one of the multiple intelligences. Resources for all activities are provided.
EngageNY
Analyzing Decisions and Strategies Using Probability 1
Learn how to increase the probability of success. The 19th installment of a 21-part module teaches future mathematicians how to use probability to analyze decisions. They determine strategies to maximize the chances of a desired outcome.
Illustrative Mathematics
Field Day Scarcity
Introduce young mathematicians to concepts of financial literacy with this open-ended word problem. With seven dollars to spend during field day and given a list of available items and their prices, children must determine how they want...
Mathematics Vision Project
Module 3: Numbers and Operations
Bring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...
5280 Math
Polygon Polynomials
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
Curated OER
Number and Operations: Webbing Our Way Through Numbers
Second graders explore estimation and place value. In this place value lesson, 2nd graders estimate and construct numbers while working with spider activities. Students use addition and subtraction to compare estimates. Resources and...
Curated OER
Relationship Between Addition and Subtraction
Learners are taught how to add and subtract and use number sense to solve basic math problems. In this addition and subtraction lesson, students are being taught using theories from different philosophers in education. They are given a...
Education Development Center
Geography of the Number Line
It's more than just numbers on a line, its an organizational, mental math machine to help learners understand the value of numbers. The tool is handy when introducing positive and negative integers to see their values and...
EngageNY
Mastering Factoring
Math class is full of drama—there are so many problems to work out! Pupils work out factoring problems. They use quadratic methods of factoring higher degree polynomials, in addition to factoring the sum and difference of two...
Curated OER
Adding Integers with Counters
Middle schoolers solve integers using addition. In this algebra lesson plan, students add integers using counters. They define and label patterns created by integer operations.
5280 Math
Integer Interpreter
Can you add variables if you don't know their value? Using an empty number line, scholars first locate the position of the difference, sum, product, and quotient of two unknown integers. Later problems mix operations as well as add...
Curated OER
Dividing by 4's
Third graders explore math functions by completing problem solving activities. In this division lesson, 3rd graders utilize the division strategies acquired earlier to divide multiple digit numbers by 4's. Students complete problems on...
Curated OER
Adding Mixed Numbers with Unlike Denominators
Seventh graders practice measuring skills as they add mixed fractions. In this fractions lesson, 7th graders measure the distance from their wrist to the tip of their finger, record the measurement, and repeat this procedure with other...
EngageNY
Putting It All Together
Shuffle 'em up and deal! Learners practice operations with polynomials using cards they pass around the room. The activity works with pairs or individuals, so it offers great flexibility. This is the fifth installment in a series of 42...
EngageNY
The Power of Algebra—Finding Primes
Banks are responsible for keeping our financial information safe. Mathematics is what allows them to do just that! Pupils learn the math behind the cryptography that banks rely on. Using polynomial identities, learners reproduce the...
Primary Junction
Adding Tens
Build on your learners' confidence in quick addition as they discover strategies to add tens to two-digit numbers. After reviewing counting by 10's, they discuss tactics to add multiples of 10 to other numbers. They visualize how to...
Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Curated OER
Measuring Mixed Numbers
Mixed numbers can be added conceptually, algorithmically, and physically. Have the class visualize mixed numbers by adding fraction bars together. They then discover the algorithmic process that simplifies adding mixed numbers. Finally,...
College Board
Beginning the Year with Local Linearity
Local linearity isn't the first thing that comes to mind to start off an AP® Calculus course. A scholarly article discusses one possible beginning to the AP® Calculus course: investigating and introducing derivatives through activities...
EngageNY
Comparing Methods—Long Division, Again?
Remember long division from fifth grade? Use the same algorithm to divide polynomials. Learners develop a strategy for dividing polynomials using what they remember from dividing whole numbers.
Curated OER
Addition and Subtraction of Signed Numbers
Learners explore the concept of adding and subtracting using positive and negative numbers. In this addition and subtraction of signed numbers activity, students use pennies to represent positive and negative numbers. Learners deposit...
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