Standard 4: Measurement - The student will use measurement to solve problems in a

variety of contexts.

1. Estimate and find the surface area and volume in real world settings (e.g., unwrap a

box to explore surface area; use rice, 1-inch cubes, centimeter cubes, cups . . . to

estimate the volume of boxes, irregular shaped objects, containers).

2. Apply knowledge of ratio and proportion to solve relationships between similar

geometric figures (e.g., build a model of a 3-dimensional object to scale).

3. Formulas

a. Select and apply appropriate formulas for given situations:

I. an equation (e.g., d = rt, i = prt)

II. measurement problems (e.g., p = 2l + 2w, v = lwh)

b. Find the area of a “region of a region” for simple composite figures (e.g., area

of a rectangular picture frame).

Standard 5: Data Analysis and Statistics - The student will use data analysis and

statistics to interpret data in a variety of contexts.

1. Select and apply appropriate formats (e.g., line plots, bar graphs, stem-and-leaf plots,

scatter plots, histograms, circle graphs) to display collected data.

2. Measures of Central Tendency

a. Find the measures of central tendency (mean, median and mode) of a set of data

and understand why a specific measure provides the most useful information in a given context.

b. Compute the mean, median, and mode for data sets and understand how

additional data in a set may affect the measures of central tendency.

*3. Determine how samples are chosen (random, limited, biased) to draw and support

conclusions about generalizing a sample to a population (e.g., is the average height of

a men’s college basketball team a good representative sample for height predictions?).

Priority Academic Student Skills

MATHEMATICS CONTENT STANDARDS

Algebra I

The following skills are required of all students completing Algebra I

Standard 1: Number Sense and Algebraic Operations - The student will use expressions

and equations to model number relationships.

1. Translate word phrases and sentences into expressions and equations and vice versa.

2. Expressions

a. Simplify and evaluate linear, absolute value, rational and radical expressions.

b. Simplify polynomials by adding, subtracting or multiplying.

Standard 2: Relations and Functions - The student will use relations and functions to

model number relationships.

1. Relations and Functions

a. Distinguish between linear and nonlinear data.

b. Distinguish between relations and functions.

c. Identify dependent and independent variables, domain and range.

d. Evaluate a function using tables, equations or graphs.

2. Recognize the parent graph of the functions y = k, y = x, y = |x|, and predict the

effects of transformations on the parent graph (e.g., y = |x| + 2, change slope, change intercepts, change slope and intercept).

3. Calculate the slope of a line using a graph, an equation, two points or a set of data points.

4. Develop the equation of a line and graph linear relationships given the following:

a. slope and y-intercept

b. slope and one point on the line

c. two points on the line

d. x-intercept and y-intercept

e. a set of data points

5. Slope Interpretation

a. Use the slope to differentiate between lines that are parallel, perpendicular, horizontal, or vertical.

b. Interpret the slope and intercepts within the context of everyday life (e.g., telephone charges based on base rate [y-intercept] plus rate per minute [slope]).

6. Linear Equations and Inequalities

a. Solve linear equations by graphing or using properties of equality.

b. Solve linear inequalities by graphing or using properties of inequalities.

c. Match appropriate equations or inequalities (with 1 or 2 variables) to a graph, table, or situation and vice versa.

7. Solve a system of linear equations by graphing, substitution or elimination.

8. Problem Solving

a. Use the formulas from measurable attributes of geometric models (perimeter, circumference, area and volume), science, and statistics to solve problems within an algebraic context.

b. Solve two-step and three-step problems using concepts such as rules of exponents, probability, rate, distance, ratio and proportion, measures of central tendency and percent.

9. Nonlinear Functions

a. Match exponential and quadratic functions to a table, graph or situation and vice versa.

                b. Solve quadratic equations by graphing, factoring, or using the quadratic formula.

Standard 3: Data Analysis and Statistics - The student will use data analysis and

statistics to formulate and justify predictions from a set of data.

1. Data Analysis

a. Translate from one representation of data to another and understand that the

data can be represented using a variety of tables, graphs, or symbols and that

different modes of representation often convey different messages.

b. Make valid inferences, predictions, and/or arguments based on data from

graphs, tables, and charts.

2. Collect data involving two variables and display on a scatter plot; interpret results

using a linear model/equation and identify whether the model/equation is a line best

fit for the data (e.g., given a scatter plot and several linear equations, which one is the best fit?).