Arizona Department of Education
Area and Perimeter of Regular and Irregular Polygons
Extend young mathematicians' understanding of area with a geometry lesson on trapezoids. Building on their prior knowledge of rectangles and triangles, students learn how to calculate the area of trapezoids and other irregular...
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Add Groups of 10
In this addition worksheet, students count each group and write the 2-digit number in the top boxes. Students add the number shown in each table to this number. Students draw a line for each extra 10 added. Students record the total at...
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Calculator Spelling
Sixth graders practice creating and solving number sentences on a calculator. They interact with number facts, their properties, algorithms and estimation. Each student recognizes inverse relationships of addition, subtraction,...
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Systems of Equations (Systems Project Part 1)
In this systems of equations worksheet, students identify and explore three ways to solve systems of equations: graphing, substitution, elimination. They discuss the strengths, weaknesses, and write an algorithm for each method. ...
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Let's Trade
Second graders engage in a instructional activity which focuses on adding two-digit numbers and the regrouping process. They identify when the regrouping process is necessary and make appropriate "trades" to complete an addition problem.
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Invitation to Integers
Students find zero pairs and add integers using zero pairs and a number line. They generalize rules for adding integers. Students complete a matching activity on the Internet that helps them practice adding integers.
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Invitation To Integers
Students find zero pairs and add integers using zero pairs and a number line. They generalize rules for adding integers. The class view approximately 10 minutes of video divided into three segments.
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Add Groups of Ten
In this addition instructional activity, students add groups of tens and their remainders to determine the missing addends in the pairs of 2-digit problems and then find the sums. Students solve nine problems.
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4-Digit Problem Solving: Add and Subtract
In this problem solving worksheet, students solve a total of 7 equations, drawing models and using algorithm. A reference web site for additional activities is given.
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Matrices: A Secret Weapon
Students perform operations with matrices. In this algebra lesson, students use cryptography and cryptanalysis to solve problems. They add, subtract, and multiply matrices.
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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...
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Multiplication Algorithm (1)
Third graders in a 3rd grade math class make connections from prior instruction and mastery to solve problems in new learning situations. Using logical thinking and prior knowledge to solve current math problems is the focus of this...
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Addition Relay
Third graders, in pairs, use a bag of counters which can be dried beans, squares of papers, etc.
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Multi-Digit Multiplication
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...
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Subtraction Relay
Students play a team subtraction game, subtracting two-digit numbers and using addition to check their subtraction. They solve subtraction problems at the board while the team solves the same problem in their seats.
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Shopping with Money
Students apply their knowledge of addition and subtraction of money into real life situations.
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Adding and Subtracting Fractions
Second graders use blocks to show the addition and subtraction of fractions with common denominators. They identify the steps in these functions and complete a worksheet.
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1st Grade Problem Solvers
First graders investigate, represent and solve problems using number facts, operations, and their properties. They solve on-step addition and subtraction number sentences and word problems using concrete materials. Students construct...
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A Three-Digit Multiplier, Plus Zeros
In this three digit multiplication learning exercise, students review how to multiply with three digit numbers. Students then multiply the three digit problems.
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Division of Whole Numbers
Students divide two-digit numbers by one-digit whole numbers. Using a specified website, they play complete standard division algorithms. Students receive immediate feedback on the website. In addition, they complete problems on paper.
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Adding and Subtracting Bears and Goats
First graders evaluate math problems using farm animals. In this consumer math lesson, 1st graders discover math problems which concern quantities of farm animals. Students discover new strategies to help them analyze their information.
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Computers Can Only Add
Students explore using mathematics to solve problems in base two. After a teacher demonstration of using base two to write numbers. students model similar problems to explore the concept of number systems in different bases. To increase...
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Growing Up
Students solve a given problem and explain their thinking using two number sentences to match their answer. One number sentence must use addition, one must use multiplication, and students must explain their answers. Includes sample...
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More or Less Pigs in the Pen
Students practice simple addition and subtraction. They identify relationships among whole numbers.