CVTE Learning Standard Number

Math Content Conceptual Category and Domain Code
Learning Standard Number

Text of Mathematics Learning Standard

2.B.02.03
2.C.03.02
2.D.03.01
2.E.01.01
2.E.01.04
2.E.01.05
2.J.02.03

7.NS.A.3
5.MD.A.1
5.MD.B.2
912.MD.B.5

Solve realworld and mathematical problems involving the four operations with rational numbers.
Convert among differentsized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multistep, real world problems.
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots
Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values.

Performance Example(s):
Students will demonstrate the ability to use mathematical operations to plan a business trip.
Students will accurately use decimals, percents and fractions in making financial calculations.
Students will prepare a personal budget to record income and use aspects probability to predict expense items for the future.
Students will use proper number sense skills when working on accounting tasks.

2.D.01.02
2.E.01.05
2.E.03.02
2.E.03.05

6.NS.C.5
7.EE.B.3

Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in realworld contexts, explaining the meaning of 0 in each situation.
Solve multistep reallife and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically.
Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.

Performance Example(s):
Students will properly learn how to use negative and positive numbers to maintain, analyze and record entries into a checkbook.
Students will be able to represent financial information in multitypes of graphs, such as line graphs, bar graphs etc.
Students will use integers to represent reallife situations, such as credits and debits.

2.D.02.02

6.NS.C.7b
6.NS.C.7c
6.NS.C.7d
5.MD.A.1
5.MD.B.2
6.EE.B.8
912.MD.B.5

Write, interpret, and explain statements of order for rational numbers in realworld contexts. For example, write –3 ^{o}C > –7 ^{o}C to express the fact that –3 ^{o}C is warmer than –7 ^{o}C.
Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a realworld situation. For example, for an account balance of –30 dollars, write –30 = 30 to describe the size of the debt in dollars.
Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than –30 dollars represents a debt greater than 30 dollars.
Convert among differentsized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multistep, real world problems.
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots.
Write an inequality of the form x > c or x < c to represent a constraint or condition in a realworld or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values.

Performance Example(s):
Students will be able to utilize inequalities to compare data.
Students will be able to make comparisons of numerical data using absolute value.
Students will determine the possible outcomes of a decision using probabilities of data and finding expected values.

2.E.02
2.H.01.01
2.H.01.02
2.H.01.04
2.I.03.05
2.I.03.09
2.J.02.03
2.K.02.02

5.MD.A.1
5.MD.B.2
6.EE.C.9
8.EE.B.5
912.MD.A.1
912.MD.B.5

Convert among differentsized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multistep, real world problems.
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots
Use variables to represent two quantities in a realworld problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distancetime graph to a distancetime equation to determine which of two moving objects has greater speed.
Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions.
Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values.

Performance Example:
Students will be able to compare financial information in multitypes of graphs, such as line graphs, bar graphs etc.
Students will create, use and format simple and complex algebraic and geometric formulas.
Students will understand mathematical functions and how they can be used to determine financial data.
Students will be able to make a draft using patterns of symmetry, ratios, proportions, and measurements when creating different types of presentations.
Students will be able to construct and design a sketch of a basic work piece that has measurements that are mathematically accurate.
Using knowledge of geometric figures, such as computing actual lengths and areas from a scale drawing, students will apply it to a particular work project.
