Lessons tagged with "fractions"
Identify Fractions on a Number Line
- Grade:
- 3
- Subject:
- Math
This number sense lesson focuses on identifying fractions on a number line. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students read the question and verify the number of sections on the number line from 0 to 1 match the denominator value. If it's different, they will create an equivalent fraction with a matching denominator. Then, they identify the location of a point on the number line using the numerator and circle the correct answer. In addition to the lesson, there are eight pages of Independent Practice and review with questions modeled after current adaptive testing items.
Represent Fractions on a Number Line
- Grade:
- 3
- Subject:
- Math
This numbers and operations − fractions lesson covers how to represent fractions on a number line. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will read the problem and determine the total number of equal parts. Then, they will determine which of two number lines to use, determine the number of equal parts from zero using the numerator, and then label the fraction on the number line.
Identify Equivalent Fractions
- Grade:
- 3
- Subject:
- Math
Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.
Express Whole Numbers as Fractions
- Grade:
- 3
- Subject:
- Math
This numbers and operations − fractions lesson covers how to express whole numbers as fractions. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will count the whole items in a picture, write the whole number, and then express that whole number as a fraction.
Write the Fraction Represented by a Drawing
- Grade:
- 3
- Subject:
- Math
This number sense lesson focuses on writing the fraction represented by a drawing. The lesson includes research-based strategies and questions that help prepare students for assessments. In this lesson, students read the question and identify the selected part of the drawing. Then, they write the denominator and numerator and interpret the fraction. In addition to the lesson, there are nine pages of Independent Practice and review with questions modeled after current adaptive testing items.
Create Equivalent Fractions
- Grade:
- 3
- Subject:
- Math
Recognize and create simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.
Determine Fractions of a Whole
- Grade:
- 3
- Subject:
- Math
This numbers and operations − fractions lesson covers how to determine fractions of a whole. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will read the problem and identify the selected part. Then, they will write the unit fraction of the whole, determine the fraction of the whole by counting selected unit fractions, and interpret the result.
Determine a Fraction of a Set
- Grade:
- 3
- Subject:
- Math
This number sense lesson focuses on identifying a fraction of a whole. The lesson includes research-based strategies and questions that help prepare students for assessments. In this lesson, students read a problem and determine the number of parts asked for (numerator), and the number of parts that make up the whole (denominator). Then, they read the fraction. In addition to the lesson, there are 11 pages of Independent Practice and review with questions modeled after current adaptive testing items.
Represent Unit Fractions on a Number Line
- Grade:
- 3
- Subject:
- Math
This numbers and operations − fractions lesson covers how to represent unit fractions on a number line. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will read the problem and determine the total number of equal parts using the denominator. Then, they will divide the number line into the total number of equal parts, and represent the unit fraction on the number line.
Subtract Fractions with Like Denominators
- Grade:
- 4
- Subject:
- Math
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.
Add Mixed Numbers With Like Denominators
- Grade:
- 4
- Subject:
- Math
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.
Use Pictures to Add Fractions
- Grade:
- 4
- Subject:
- Math
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.
Use Pictures to Subtract Fractions
- Grade:
- 4
- Subject:
- Math
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.
Generate Equivalent Fractions
- Grade:
- 4
- Subject:
- Math
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.
Add Fractions with Denominators 10 & 100
- Grade:
- 4
- Subject:
- Math
Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.* For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.
Convert Between Fractions and Division Problems
- Grade:
- 4
- Subject:
- Math
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.
Determine All Factor Pairs of Numbers
- Grade:
- 4
- Subject:
- Math
This operations and algebraic thinking lesson teaches students how to determine all the factor pairs of a number. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will determine all of the factor pairs of a given number. This is in preparation for later mathematics where students will need to determine a variety of factors for fractions, factoring equations, and several other uses for this particular skill. It is an excellent introduction to factoring and provides several real-world examples for students to practice with.
Add Fractions with Like Denominators
- Grade:
- 4
- Subject:
- Math
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.
Fraction Word Problems: Multiplication
- Grade:
- 4
- Subject:
- Math
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?
Write Decimal Numbers as Fractions (Tenths & Hundredths)
- Grade:
- 4
- Subject:
- Math
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.
Subtract Fractions with Unlike Denominators
- Grade:
- 5
- Subject:
- Math
This number and operations--fractions lesson teaches students how to subtract fractions with unlike denominators. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students create equivalent fractions to subtract fractions with unlike denominators. Reducing the results is not addressed. This lesson focuses on unlike denominators that require both fractions to be changed.
Divide Unit Fractions by Whole Numbers
- Grade:
- 5
- Subject:
- Math
This lesson focuses on the fluency of dividing a unit fraction by a whole number. Although the purpose of the lesson is to teach the process, there are opportunities for students to conceptually examine, read, and write about the structure of a unit fraction being divided by a whole number.
Interpret Fractions as Divisions
- Grade:
- 5
- Subject:
- Math
This number sense lesson focuses on showing common decimal numbers as percents. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students read the question and change the decimal number into a fraction with a denominator of 100 using a place value chart. Then, they change the fraction into a percent and interpret the result. In addition to the lesson, there are four pages of Independent Practice and Periodic Reviews with questions modeled after current adaptive testing items.
Multiply Fractions
- Grade:
- 5
- Subject:
- Math
This lesson addresses fraction multiplication at the fluency level.
Fraction Word Problems: Multiplication
- Grade:
- 5
- Subject:
- Math
This fractions word problems lesson covers the meaning of fraction multiplication. The lesson includes research-based strategies and strategic questions that prepare students for common assessments and performance tasks. In this lesson, students will read multiplication word problems and draw models to understand what it means to find a fraction of a fraction.
Show Common Decimal Numbers as Percents
- Grade:
- 6
- Subject:
- Math
This number sense lesson focuses on showing common decimal numbers as percents. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students read the question and change the decimal number into a fraction with a denominator of 100 using a place value chart. Then, they change the fraction into a percent and interpret the result. In addition to the lesson, there are four pages of Independent Practice and review with questions modeled after current adaptive testing items.
Order Fractions and Mixed Numbers on a Number Line
- Grade:
- 6
- Subject:
- Math
This number sense lesson focuses on ordering fractions and mixed numbers on a number line. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students place each fraction or mixed number (from a group of four) on the number line one at a time by reading each number aloud, determining the sign and value of the whole number or fraction, and determining the denominator and numerator. Finally, they order the numbers from least to greatest or greatest to least using the number line. In addition to the lesson, there are sixteen pages of Independent Practice and Periodic Reviews with questions modeled after current adaptive testing items.
Reduce Fractions (Using the Greatest Common Factor)
- Grade:
- 6
- Subject:
- Math
This number sense lesson focuses on reducing fractions. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students find the factors of the numerator and denominator. Then, they identify the greatest common factor (GCF) and write it down. Finally, they reduce the fraction by dividing the numerator and denominator by the GCF and interpreting the reduced fraction. In addition to the lesson, there are five pages of Independent Practice and Periodic Reviews with questions modeled after current adaptive testing items and 10 flashcards for reduced fractions.
Use a Fraction to Represent Part of a Set
- Grade:
- 6
- Subject:
- Math
This number sense lesson focuses on using a fraction to represent a part of a set. The lesson includes research-based strategies and questions that help prepare students for assessments. In this lesson, students read the problem, determine the amount of the entire set, and write the denominator. Then, they determine the amount of the part of the set and write the numerator. Finally, students interpret the fraction that represents part of the set. In addition to the lesson, there are eight pages of Independent Practice and review with questions modeled after current adaptive testing items.
Compare Fractions and Decimal Numbers
- Grade:
- 7
- Subject:
- Math
This number sense lesson focuses on comparing fractions and decimal numbers. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students change the fraction to a decimal number and line up the decimal numbers by place value. Then, they compare each digit starting from the left, noting whether the digits have the same value or if one is greater. Finally, they complete the number sentence, writing the correct comparison symbol. In addition to the lesson, there are four pages of Independent Practice and review with questions modeled after current adaptive testing items.
Convert Fractions to Decimals
- Grade:
- 7
- Subject:
- Math
This number sense lesson focuses on converting fractions to decimals. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students identify the numerator and denominator of the fraction. Then, they convert the fraction to a decimal by using long division to divide the numerator by the denominator, inserting placeholder zeroes until the division is complete, and aligning place values to correctly place the decimal point. Finally, they interpret the answer. In addition to the lesson, there are four pages of Independent Practice and review with questions modeled after current adaptive testing items.
Compute Unit Rates with Fractions
- Grade:
- 7
- Subject:
- Math
This ratios and proportional relationships lesson covers how to compute unit rates (complex fraction ratios). The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students create an equivalent ratio table using given units and quantities. They identify the unit quantity, determine the multiplicative inverse which produces one, and then apply the multiplicative inverse to the other quantity. Finally, they interpret the unit rate.
Add & Subtract Rational Numbers
- Grade:
- 7
- Subject:
- Math
This number system lesson covers how to add and subtract rational numbers. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students first rewrite subtraction to add the opposite if needed. Then, they determine which addition rule to use, apply it, and interpret the answer.
Convert Fractions to Percents
- Grade:
- 7
- Subject:
- Math
This number sense lesson focuses on converting fractions to percents. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students set up an equation using the percent proportion and the given fraction. Then, they cross multiply and solve the proportion. Finally, they state their answer as a percent by using the provided sentence. In addition to the lesson, there are four pages of Independent Practice and review with questions modeled after current adaptive testing items.
Represent Decimal Numbers as Fractions
- Grade:
- 7
- Subject:
- Math
This number sense lesson focuses on converting decimals to fractions. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students convert the decimal to a fraction by placing the decimal value over 10, 100, or 1,000 as appropriate. Students then reduce the fraction if it is needed. In addition to the lesson, there are four pages of Independent Practice and review with questions modeled after current adaptive testing items.