Arrays Teacher Resources
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Challenge 4th graders to move beyond and apply their initial understanding of multiplying one- and two-digit numbers to word problems that have three- and four-digit numbers. The worksheet covers essential questions, task description, task directions, formative assessment questions, and possible student solutions, all of which make this resource a practical application of the Common Core standards. It is easy to understand and ready to use in the classroom.
Basic Multiplication Facts - MathKeys Software
Students explore multiplication concepts. In this multiplication lesson, students define "array" and draw several arrays to represent multiplication number sentences. Students construct arrays on the computer using MathKeys software.
Critter Count: Student Exploration
In this critter count: student exploration activity, 5th graders use the online Gizmo to solve multiplication problems, create arrays and use the commutative property.
The Commutative Cookie
Learners illustrate multiplication problems using Unifix cubes. Some very nice attachments are present in this tasty lesson which uses baked goods to illustrate an array.
The Commutative Cookie
Third graders investigate the commutative properties of multiplication and focus upon the setting of cubes in the correct patterns to solve problems. They differentiate between numbers that have multiple factors and prime numbers. Students arrange the cubes in arrays.
Multiplying in Any Order
In this mathematics worksheet, 2nd graders use counters to show an array. Then they write the multiplication fact for that array. Students also identify if the reverse of a multiplication fact is equal and explain why.
Third graders review the commutative and associative property in mathematics. Using a worksheet, they work together to identify the patterns between the 32 triangles. To end the lesson, they create their own array and exchange it with a partner.
The Difference of Two Squares
Students practice the use of number properties through exploring the difference of two squares, creating an array model for multiplication, and work with decimal numbers. In groups, students explore patterns in an array and determine algebraic reasoning to explain the pattern.
Fourth graders multiply multi-digit numbers using rectangular arrays, and a variety of mental math strategies. They multiply two-digit numbers through building, sketching, and showing the computation with partial products.
Fourth graders practice mastering the ability to multiply multi-digit numbers utilizing rectangular arrays and a variety of mental math strategies. They model and illustrate meanings of multiplication and division of whole numbers and the addition and subtraction of fractions.
Multiplication & Division with Arrays
Third graders work with fact families using the commutative property, arrange arrays with manipulatives, and multiply and divide symbolically with numbers.
Three Ways To See 48/3
Fourth graders participate in a lesson that uses word problems in order to reinforce the skill of division. They use the methods of array, repeated subtraction, and number line in order to solve the word problems.
Series or Parallel?
Physics classes that are studying electricity connect photovoltaic cells into both series and parallel circuits. Inquiry and critical thinking come into play as learners try to determine which circuit is more productive. They associate their findings to the design of PV arrays. A thorough explanation is provided for the teacher, as well as lab sheets for the learners.
Using the book Amanda Bean's Amazing Dream: A Mathematical Story, 2nd graders discuss how to solve math problems using multiplication. They are encouraged to solve a series of multiplication problems using model building, drawing, arrays, skip counting or repeated addition. After exploring these algorithms they share their thinking and complete a worksheet related to the book. This is a great problem solving lesson that builds a foundational skill set.
Students design and conduct an experiment to test their ideas about how to speed up or slow down the rate of an enzyme-catalyzed reaction. They have access to an array of physical and chemical factors that might influence enzyme activity. Students are expected to predict how one of the factors might affect the reaction rate and test it in a high quality experiment.
Students explore division concepts by sharing materials equally with classmates through center activities. They manipulate objects, compare groups and arrange items in arrays.
Operations and Algebraic Thinking
How to use the relationship between multiplication and division to solve math word problems is the focus of the lesson presented here. In it, fourth graders work in groups to solve problems posed by the teacher. Then, each group is given paper cups and uses them as a manipulative to solve another problem. Finally, each group completes the problems on a worksheet entitled, "What to do with Remainders," and shares their results with the class. Other terrific worksheets are embedded in this fine plan.
Writing Task 3.OA.1 Item 3
Enhance and support your pupils' thinking about multiplication with two tasks centered around arrays. This activity provides opportunities for learners to use numbers and words to explain their thinking. It can be used as a part of a homework assignment, in-class assignment, or exit ticket. Note: This is the last of three writing tasks. See additional materials for links to the previous two.
Exit Ticket 3.OA.1
Young mathematicians are asked to complete a simple multiplication task before they leave the class. One ticket contains two problems in which pupils are directed to draw an array to represent each equation so that they can find the product. Reward those who get the correct answer, and provide extra help for the those who do not.
Using Arrays to Show Multiplication Concepts
Learners draw arrays. In this multiplication lesson plan, students draw arrays, write multiplication sentences for arrays and discuss how changing the order of the factors affects the product.