Grade: Grade 4 Subject: Mathematics Unit: Angles & Geometry SAT: Geometry+Trigonometry ACT: Math

Measuring Angles

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This lesson covers key concepts for Measuring Angles. Content will include explanations, definitions, and foundational knowledge.

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Question 1

If y = 3x represents a proportional relationship, what is the constant of proportionality?

A 1

B 3

C x

D y

Explanation: In y = kx, the constant of proportionality k is the coefficient of x. Here k = 3.

Question 2

A recipe uses 2 cups of flour for every 3 cups of sugar. If you use 6 cups of flour, how many cups of sugar do you need?

A 4 cups

B 9 cups

C 12 cups

D 8 cups

Explanation: Set up the proportion: 2/3 = 6/x. Cross multiply: 2x = 18, so x = 9 cups.

Question 3

Which equation represents a proportional relationship?

A y = 2x + 1

B y = 5x

C y = x²

D y = 3

Explanation: A proportional relationship has the form y = kx where k is a constant. Only y = 5x fits this form.

Question 4

The table shows x: 2, 4, 6 and y: 8, 16, 24. What is the constant of proportionality?

A 2

B 4

C 6

D 8

Explanation: Divide any y-value by its corresponding x-value: 8÷2 = 4, 16÷4 = 4, 24÷6 = 4. The constant is 4.

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