Algebra

Open-Ended

Directions:

Evaluate each expression if a = 12, b = 0.5, c = -3, d = 1/3.

1. 6b − 5c

2. c³ + ad

3. (9c + ab) / c

4. a[b²(b + a)]

DISTANCE

The formula to evaluate distance is d = r × t, where d is distance, r is rate, and t is time.

How far can Tosha drive in 4 hours if she is driving at 65 miles per hour?

Visual Organization Strategies

Use bulleted directions instead of paragraphs
Color code important information
Use symbols to connect important information
Expand the writing output area
Highlight important process information

Directions:

Evaluate each expression: The image highlights the important information needed to solve the problem. It states that a = 12, b = 0.5, c = −3, and d = 1/3. It also highlights the distance formula d = r × t, where d is distance, r is rate, and t is time. The word problem asks, “How far can Tosha drive in 4 hours if she is driving at 65 miles per hour?” The values 4 hours and 65 miles per hour are highlighted because they are the values needed to use the distance formula.

Image Description: Evaluate each expression: The image highlights the important information needed to solve the problem. It states that a = 12, b = 0.5, c = −3, and d = 1/3. It also highlights the distance formula d = r × t, where d is distance, r is rate, and t is time. The word problem asks, “How far can Tosha drive in 4 hours if she is driving at 65 miles per hour?” The values 4 hours and 65 miles per hour are highlighted because they are the values needed to use the distance formula.

Closed Strategies

Highlight tape the answers, so that students can go back
Use symbols to match information
Give a page number that they can go back and reference
Use a fill in the blank
Use a word bank

Directions:

Evaluate the expression: The problem provides a = 12, b = 0.5, c = −3, and d = 1/3 and asks students to evaluate each expression. The variables in the expressions are highlighted to show which values should be substituted: a = 12 is highlighted in pink, b = 0.5 in gray, c = −3 in blue, and d = 1/3 in orange. The highlighted variables appear throughout the expressions to help students match each variable with its given value.

Image Description: Evaluate the expression: The problem provides a = 12, b = 0.5, c = −3, and d = 1/3 and asks students to evaluate each expression. The variables in the expressions are highlighted to show which values should be substituted: a = 12 is highlighted in pink, b = 0.5 in gray, c = −3 in blue, and d = 1/3 in orange. The highlighted variables appear throughout the expressions to help students match each variable with its given value.

Choice Strategies

Color code a word bank to offer two choices
Reduce the number of multiple-choice options offered
Use pictures of two choices

Directions:

Image Description: Evaluate each expression: The images highlight the information needed to solve each problem. The first image highlights a = 12, b = 0.5, c = −3, and d = 1/3 and shows how to substitute the values into an expression. The answer options are A. 37.5 and B. 15.125. The second image highlights the distance formula d = r × t and the values 4 hours and 65 miles per hour needed to solve the problem. The answer options are A. 61 and B. 260.

Yes/No Strategies

Change the format of the question to a yes or no answer
Use along with other strategies

Directions:

Evaluate the expression: The problem gives a = 12, b = 0.5, c = −3, and d = 1/3 and asks students to evaluate the expressions. The highlighted variables show which values should be substituted into the expressions. A solution is shown with 37.5, followed by Yes and No answer choices for students to indicate whether 37.5 is correct. The problem then introduces the distance formula d = r × t, where r is the rate and t is the time. The values 4 hours and 65 miles per hour are highlighted, and students are asked to calculate the distance. The possible answer choices are 61 and 260.

Image Description: Evaluate the expression: The problem gives a = 12, b = 0.5, c = −3, and d = 1/3 and asks students to evaluate the expressions. The highlighted variables show which values should be substituted into the expressions. A solution is shown with 37.5, followed by Yes and No answer choices for students to indicate whether 37.5 is correct. The problem then introduces the distance formula d = r × t, where r is the rate and t is the time. The values 4 hours and 65 miles per hour are highlighted, and students are asked to calculate the distance. The possible answer choices are 61 and 260.

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