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Teach Students a Range of Problem-Solving Strategies
Arming students with a multitude of strategies will help them meet their math challenges.
Kentucky Department of Education
Multi-Digit Multiplication Strategies
There is more than one way to solve a multiplication problem, and many learners find that the lattice multiplication method can be a helpful one. Fourth graders take an initial formative assessment before working in groups of two or...
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Dominoes
Fourth graders solve a dominoes word problem, calculating all the possible outcomes for a sequence of events. They discuss the problem, apply counting strategies, create a tree diagram, and write an explanation of how they solved the...
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Houses
Third graders use a number of problem solving strategies in this unit of lessons. They determine how to draw and model three-dimensional objects, use co-ordinate systems, determine probability of events, and identify paths of simple...
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The Multiplier (origin of the algorithm)
Students explore basic algorithms for addition, subtraction, and multiplication. They use models to demonstrate solving two-digit by two-digit multiplication. Students demonstrate vertical formats to solve multiplication problems.
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Rows of Numbers
Students generate patterns from a structured situation, find a rule for the general term, and express it in words and symbols. They also devise and use problem solving strategies in a systematic way.
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Robots
Fourth graders devise and use problem solving strategies to explore situations mathematically (guess and check, make a drawing, use equipment). The use of logical reasoning is a focus of this lesson.
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The Part-Adder 2
Third graders use mental-math strategies to solve two-digit plus two-digit addition problems. They observe and discuss online demonstrations, solve word problems as a class, and independently solve problems and describe their solutions...
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Addition and Subtraction Pick n Mix 2
Fourth graders practice a wide range of strategies for solving addition and subtraction problems containing decimal fractions. They add and subtract fractions, decimals and integers while generalizing the properties of operations with...
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Create A Question
Students explore mathematical problem solving. Given a case problem, students write a rule to solve problems involving decimal multiplication and division. They invent problems, share them with the class, and solve other student's...
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Doing The School Run
Students explore finding the percent of a numbers. They survey their peers to determine modes of transportation used in getting to school. Afterward, students organize information and create graphs and charts. They explore alternative...
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Sharing More Lollies
Students examine the math problem, think about it and discuss with their classmates. They work on the rest of the problems in pairs using problem solving strategies and fractions.
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The Numbers Get Larger
Second graders examine how to use mental strategies for addition and subtraction. They look at part/whole strategies for multi-digit problems and define which one would be best used for a particular problem. They use tens frames to solve...
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Up We Go
First graders examine the use of number lines in problem solving situations in this series of lessons. They participate in activities in which they move forward and backward on number line on the playground before doing paper and pencil...
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The Multiplier (small 2-digit by 1-digit numbers)
Second graders study digits in 2- or 3-digit whole numbers. They write and solve story problems which involve whole numbers, using addition, subtraction, multiplication, or division.
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A thousand seconds
Students use seconds, minutes, and hours. They then discuss the size of a thousand. After that they read time in digital or analogue form.
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Using Electronic Manipulatives in Multiplication
Factor polynomials using electronic manipulatives. Your class will create a spreadsheet in excel and use it to multiply and perform basic operations and solve problems correctly. They create a visual to go along with each multiplication...
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Square Milk Bottle Crates
Students attempt a problem that Students has the potential to have more than one solution. Hence the problem is accessible to a wide range of students. The problem is essentially about finding patterns and this is typical of a number of...
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Compatible numbers to 20
Students practice theories dealing with equals sign used as a balance, inequality symbols and practice utilizing a box or some other geometric shape to represent an unknown number. They assess numeracy problems embedded in language-rick...
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The Number Partner
First graders study number pairs and identify number pairs that sum to numbers from 10 to 30. They use number pairs to solve addition and subtraction problems. They make sensible estimates and check the reasonableness of answers.
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Skip it to multiply it
First graders make sensible estimates and check the reasonableness of answers.
They make up, tell and record number stories up to 9 about given objects. They skip count in twos, threes and fives.
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Getting Percentible
This unit explores the connections between percentages, decimals, and fractions. It focuses on strategies for solving problems involving percentages and applies these strategies to real life contexts.
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The Multiplier (larger 2-digit by 1-digit numbers)
Students utilize number sense applications to multiply two digit numbers. They use "The Multiplier" and Internet source to partition and solve 2 digit by 1 digit multiplications. Students describe how to solve 2-digit by 1-digit...
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The Multiplier (2-digit by 2-digit numbers)
Fourth graders Split a 2-digit number into tens and ones. They use The Multiplier to partition and solve 2-digit by 2-digit multiplications. They describe how to solve 2-digit by 2-digit multiplications using a diagram.