All Lessons
Divide Multi-Digit Numbers By a One-Digit Number (with Remainders)
This number sense lesson focuses on solving division problems that have a remainder. The lesson includes research-based strategies and questions that help prepare students for assessments. In this lesson, students identify the dividend and the divisor. Then, they solve for the division problem by following the basic steps of division (divide, multiply, subtract, and bring down) and writing in the remainder. Finally, students interpret the quotient and remainder. In addition to the lesson, there are eight pages of Independent Practice and review with questions modeled after current adaptive testing items.
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Multiply by Multiples of 10, 100, and 1000
This number and operations in base ten lesson teaches students how to multiply numbers by multiples of 10, 100, and 1,000. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will multiply numbers by multiples of 10, 100, and 1,000 and multiples of 10 by multiples of 10 in preparation for more complex multi-digit multiplication in the future. This lesson focuses on the simplification of complex multiplication problems into simpler ones to facilitate relatively easy multiplication.
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Identify Place Value of Digits in a Number (Thousands Place)
This number sense lesson focuses on identifying the place value of digits in a number. The lesson includes research-based strategies and questions that help prepare students for assessments. In this lesson, students identify a specific digit in a number and identify the place of the digit. Then, they identify the value of the digit. In addition to the lesson, there are four pages of Independent Practice and review with questions modeled after current adaptive testing items.
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Use the Relationship Between Multiplication & Division
4.NBT.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
4.NBT.64.NBT.6 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
This number sense lesson focuses on using the relationship between multiplication and division to check answers. The lesson includes research-based strategies and questions that help prepare students for assessments. In this lesson, students identify the operation needed to check the answer. Then, they set up the multiplication or division problem and identify the numbers used to create the problem. Finally, students check the answer by solving the problem. In addition to the lesson, there are four pages of Independent Practice and review with questions modeled after current adaptive testing items.
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Divide to Determine the Unit Cost
This number sense lesson focuses on determining the unit cost. The lesson includes research-based strategies and questions that help prepare students for assessments. In this lesson, students read the problem and identify the number of units and the total cost. Then, they set up the division problem using the number of units and total cost, and solve the division problem. In addition to the lesson, there are eight pages of Independent Practice and review with questions modeled after current adaptive testing items.
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Order Whole Numbers (Millions Place)
This number sense lesson focuses on ordering whole numbers. The lesson includes research-based strategies and questions that help prepare students for assessments. In this lesson, students first write the numbers into the grid. Then, they find the least and greatest numbers of the set by comparing the digits of the numbers (label as "least" and "greatest"). Finally, students write the numbers in order from least to greatest, then greatest to least. In addition to the lesson, there are nine pages of Independent Practice and review with questions modeled after current adaptive testing items.
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Convert Between Fractions and Division Problems
This number sense lesson focuses on converting between fractions and division problems. The lesson includes research-based strategies and questions that help prepare students for assessments. In this lesson, students represent each fraction with the division symbol. Then, they solve the problem using multiplication facts or with long division, if necessary. In addition to the lesson, there are four pages of Independent Practice and review with questions modeled after current adaptive testing items.
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Subtract Whole Numbers (Standard Algorithm)
This number sense lesson focuses on subtracting whole numbers. The lesson includes research-based strategies and questions that help prepare students for assessments. In this lesson, students read the subtraction problem and line up the numbers by their place value. Then, they subtract each column (starting from the right) and regroup, if needed. Finally, students interpret the difference. In addition to the lesson, there are four pages of Independent Practice and review with questions modeled after current adaptive testing items.
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Explain Multiplication Using Area Models
4.NBT.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
4.NBT.64.NBT.6 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
This number sense lesson focuses on using the relationship between multiplication and division to check answers. The lesson includes research-based strategies and questions that help prepare students for assessments. In this lesson, students write both factors in expanded form. Then, they set up the box model to perform multiplication in. Then, students find the answer by adding up all the box values. In addition to the lesson, there are four pages of Independent Practice and Periodic Reviews with questions modeled after current adaptive testing items.
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Add Fractions with Like Denominators
This number and operations -- fractions lesson teaches students how to add fractions with like denominators. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will add fractions with like denominators. This lesson includes a variety of real-world examples. This lesson also covers reducing fractions.
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Subtract Fractions with Like Denominators
This number and operations -- fractions lesson teaches students how to subtract fractions with like denominators. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will subtract fractions with like denominators. This lesson includes a variety of real-world examples. This lesson also covers reducing fractions.
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Add Mixed Numbers With Like Denominators
This Common Core number and operations -- fractions lesson focuses on adding mixed numbers with like denominators. The lesson includes research-based strategies and strategic questions that prepare students for Common Core assessments. In this lesson, students will read the problem aloud, identify the whole numbers and fractions, and write them as an addition problem. Then, they will combine the sum of both problems to determine the answer. Finally, they will reduce the fraction or regroup, if needed. In addition to the lesson, there are four pages of Independent Practice and Periodic Reviews with questions modeled after the Common Core assessment items.
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Use Pictures to Add Fractions
This number sense lesson focuses on using pictures to add fractions. The lesson includes research-based strategies and questions that help prepare students for assessments. In this lesson, students represent the sum of the fractions by shading the number of equal parts. Then, they add fractions by using the pictures (keeping the common denominator and finding the numerator by adding the number of equal parts). In addition to the lesson, there are four pages of Independent Practice and review with questions modeled after current adaptive testing items.
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Use Pictures to Subtract Fractions
This number sense lesson focuses on using pictures to subtract fractions. The lesson includes research-based strategies and questions that help prepare students for assessments. In this lesson, students represent the difference of the fractions by shading the number of equal parts. Then, they subtract fractions by using the pictures (keeping the common denominator and finding the numerator by subtracting the number of equal parts). In addition to the lesson, there are four pages of Independent Practice and review with questions modeled after current adaptive testing items.
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Write Decimal Numbers as Fractions (Tenths & Hundredths)
This number sense lesson focuses on writing decimal numbers as fractions. The lesson includes research-based strategies and questions that help prepare students for assessments. In this lesson, students identify the digit in the lowest place value and read the decimal number aloud. Then, they write the decimal number as a fraction and interpret the decimal number and the fraction. In addition to the lesson, there are four pages of Independent Practice and review with questions modeled after current adaptive testing items.
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Identify Mixed Numbers on a Number Line
This number sense lesson focuses on identifying mixed numbers on a number line. The lesson includes research-based strategies and questions that help prepare students for assessments. In this lesson, students identify the mixed numbers on the number line and determine which two whole numbers the mixed number is between on the number line, and identify the fraction of the mixed number between the two whole numbers. Finally, students interpret their results. In addition to the lesson, there are four pages of Independent Practice and review with questions modeled after current adaptive testing items.
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Generate Equivalent Fractions
This number and operations--fractions lesson teaches students how to generate equivalent fractions. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will create equivalent fractions. This lesson focuses on changing a fraction to another. Students are provided a variety of strategies and support to visualize the equivalence. Real-world examples are also provided.
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Fraction Word Problems: Multiplication
Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?