#### 8.1: Number Sense and Computation

8.1.2: Recognize positive integer powers as repeated multiplication. Recognize negative integer powers as repeated division or multiplication by the multiplicative inverse.

8.1.3: Use the laws of exponents for integer exponents and evaluate expressions with negative integer exponents.

8.1.5: Calculate square roots of perfect squares, estimate square roots of numbers less than 1,000, and use the inverse relationship between squares and square roots.

8.1.6: Solve percent, ratio and proportion problems.

8.1.6.1: Find average rates.

8.1.6.2: Express one quantity as a percent of another.

8.1.6.3: Compare two quantities by percent.

8.1.6.4: Use percents greater than 100 percent.

8.1.6.5: Increase or decrease a quantity by a given percent.

8.1.6.6: Find the original amount for a given percent increase or decrease.

8.1.6.7: Solve problems involving percents, ratios and proportions.

8.1.6.8: Solve problems involving simple and compound interest.

#### 8.2: Algebra and Functions

8.2.1: Write and solve linear equations and inequalities, interpret the solution or solutions in their context, and verify the reasonableness of the results.

8.2.2: Solve equations and formulas for a specified variable.

8.2.3: Simplify algebraic expressions involving powers.

8.2.4: Identify and graph linear functions and identify lines with positive and negative slopes.

8.2.5: Find the slope of a linear function given the equation. Write the equation of a line given the slope and any point on the line.

8.2.6: Translate among tables, equations, verbal expressions and graphs of linear functions and recognize in (y = mx + b) that m is the rate of change and b is the vertical intercept of the graph.

8.2.7: Identify functions as linear or nonlinear and contrast their characteristics from tables, graphs and equations.

8.2.8: Use linear functions and linear equations to represent, analyze and solve problems.

#### 8.3: Geometry and Measurement

8.3.1: Perform basic compass and straightedge constructions: angle and segment bisectors, copies of segments and angles, and perpendicular segments. Describe and justify the constructions.

8.3.3: Explain why the Pythagorean Theorem is valid using a variety of methods and use the Pythagorean Theorem and its converse to calculate lengths of line segments.

8.3.4: Solve simple problems involving rates and other derived measurements - including problems involving speed, uniform speed, average speed and density - by applying the concept of proportionality to measurement in different contexts. Express measurements in a given unit or in terms of other units of the same type.

8.3.5: Use scale factors to find the area and volume of similar figures.

8.3.6: Find and use the surface area and volume of cones, spheres and pyramids.

8.3.7: Estimate and compute the area of irregular two-dimensional shapes and the volume of irregular three-dimensional objects by breaking them down into more basic geometric objects.

#### 8.4: Data Analysis and Probability

8.4.2: Identify different methods of selecting samples. Analyze the strengths and weaknesses of each method and the possible bias in samples or displays.

8.4.3: Use mean, median, mode, upper and lower quartiles, and range to compare data sets. Organize and display data to highlight important features such as the range and how the data is spread around a central value. Investigate what happens to the display when some of the data values are changed.

8.4.4: Analyze, interpret and display data in box-and-whisker plots.

8.4.5: Display two-variable data in scatter plots and describe how the data points are distributed. If the pattern appears to be linear, draw a line that appears to best fit the data and write the equation of that line.

8.4.6: Describe and apply the addition rule for probabilities for simple events that are mutually exclusive and for simple events that are not.

8.4.7: Compute probabilities of events from simple experiments with equally probable outcomes. Use methods like organized lists, tree diagrams and area models.

Correlation last revised: 1/20/2017

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.