# All Lessons

### 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.

### 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.

### 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. Then, 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.

### 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.

### 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.

### 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 with questions modeled after the Common Core assessment items.

### 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.

### 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.

### Add Fractions With a Common Denominator

4.NF.3.A Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

4.NF.3.D4.NF.3.D Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.

This number sense lesson focuses on adding fractions with a common denominator. The lesson includes research-based strategies and questions that help prepare students for assessments. In this lesson, students read the problem and make sure both fractions have a common denominator. Then, they find the sum of the fractions by keeping the denominator the same, adding the numerators, and then representing the sum by shading in the figure. Then, they determine if the sum can be shown by an equivalent fraction using lower numbers, and shading in the figure. Finally, students read the addition problem with the sum. In addition to the lesson, there are eight pages of Independent Practice and review with questions modeled after current adaptive testing items.

### Subtract Fractions with a Common Denominator

4.NF.3.A Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

4.NF.3.D4.NF.3.D Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.

This number sense lesson focuses on subtracting fractions with a common denominator. The lesson includes research-based strategies and questions that help prepare students for assessments. In this lesson, students read the problem and make sure both fractions have a common denominator. Then, they find the difference of the fractions by keeping the denominator the same, subtracting the numerators, and then representing the difference by shading in the figure. Then, they determine if the difference can be shown by an equivalent fraction using lower numbers, and shading in the figure. Finally, students read the subtraction problem with the difference. In addition to the lesson, there are eight pages of Independent Practice and review with questions modeled after current adaptive testing items.

### 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.

### 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.

### 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.

### 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?

### Fraction Word Problems: Addition and Subtraction

Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.

### Add Fractions with Denominators 10 & 100

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.

### Perimeter & Area Formulas

This measurement and data lesson requires students to solve problems by applying the area and perimeter formulas for rectangles. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students are taught the formulas for area and perimeter and then are given word problems and diagrams and asked to find the perimeter and/or area. Students are also required to read a word problem and determine whether they need to solve for area or perimeter based on the given information.

### Find the Perimeter of a Rectangle

This measurement and geometry lesson focuses on finding the perimeter of a rectangle. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students read the problem to find the rectangle's length and width. Then, they substitute the rectangle's length and width into the perimeter formula and compute the perimeter. Finally, they label the answer with the correct unit of measurement. In addition to the lesson, there are four pages of Independent Practice and review with questions modeled after current adaptive testing items.

### Use a Property of Quadrilaterals to Solve for Unknown Angles

This measurement and geometry lesson focuses on using a property of quadrilaterals to solve for unknown angles. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students list the given angle measurements, then solve for the unknown angle by adding the given angle measurements and subtracting the sum from 360 degrees. Finally, they interpret the measurement of the angle. In addition to the lesson, there are five pages of Independent Practice and review with questions modeled after current adaptive testing items.

### Use a Property of Triangles to Solve for Unknown Angles

This measurement and geometry lesson focuses on using a property of triangles to solve for unknown angles. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students list the given angle measurements, then solve for the unknown angle by adding the given angle measurements and subtracting the sum from 180 degrees. Finally, they interpret the measurement of the angle. In addition to the lesson, there are four pages of Independent Practice and review with questions modeled after current adaptive testing items.