### 4th Grade, Activity 386: Solve Problems Involving Measurement and Conversion of Measurements from a Larger Unit to a Smaller Unit (Measure Problems Solving)

Apply the area and perimeter formulas for rectangles in real-world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

### 4th Grade, Activity 237: Build Fractions from Unit Fractions by Applying and Extending Previous Understandings of Operations on Whole Numbers

Understand a fraction a/b with a > 1 as a sum of fractions 1/b. (Denominators are limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100.)

a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. Example: 3/4 = 1/4 + 1/4 + 1/4

### 4th Grade, Activity 87: Gain Familiarity with Factors and Multiples

Using whole numbers in the range 1–100.

c. Determine whether a given whole number is a multiple of a given one-digit number.

### 4th Grade, Activity 54: Use the Four Operations with Whole Numbers to Solve Problems

Solve multi-step word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

### 4th Grade, Activity 3: Use the Four Operations with Whole Numbers to Solve Problems

Interpret a multiplication equation as a comparison and represent verbal statements of multiplicative comparisons as multiplication equations, e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7, and 7 times as many as 5.

### 3rd Grade, Activity 339: Represent and Interpret Data

Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step “how many more” and “how many less” problems using information presented in scaled bar graphs. For example, draw a bar graph in which each square in the bar graph might represent 5 pets.

### 3rd Grade, Activity 277: Develop Understanding of Fractions as Numbers

Explain equivalence of fractions with denominators 2, 3, 4, 6, and 8 in special cases, and compare fractions by reasoning about their size.

d. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

### 3rd Grade, Activity 270: Develop Understanding of Fractions as Numbers

Explain equivalence of fractions with denominators 2, 3, 4, 6, and 8 in special cases, and compare fractions by reasoning about their size.

### 3rd Grade, Activity 258: Develop Understanding of Fractions as Numbers

Explain equivalence of fractions with denominators 2, 3, 4, 6, and 8 in special cases, and compare fractions by reasoning about their size.

b. 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.