The Math Content Team is excited to announce our newest release of 7th grade sample questions. The new release targets standards that needed refreshing with newer content. In all, 17 Common Core standards were updated in the release of the 114 new questions. The breakdown of standards follows:
- 3 – Expressions and Equations standards
- 2 – Geometry standards
- 3 – The Number System standards
- 3 – Ratio and Proportional Relationships standards
- 6 – Statistics and Probability standards
Sample tasks that students are asked to complete:
- Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative.
- Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
- Recognize and represent proportional relationships between quantities.
- Use proportional relationships to solve multi-step ratio and percent problems.
- Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.
- Apply properties of operations as strategies to add and subtract rational numbers.
- Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
- Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
- Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates or eventually repeats.
- Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
- Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring.
- Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
- Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability.
- Know the formulas for the area and circumference of a circle and use them to solve problems.
The new questions can be found in the full math course using the question ID numbers 147052 to 147165.