Define income tax, payroll tax, sales tax, and property tax.
Explain the difference between gross income and net income.
Identify the advantages and disadvantages of different methods of payment, including check, credit card, debit card, and electronic payments.
Develop a system for keeping and using financial records.
Describe actions that might be taken to balance a budget when expenses exceed income.
Balance a simple budget.
Apply mathematics to problems arising in everyday life, society, and the workplace.
Add and Subtract Money: Up to $10,000
Division with Dividends Up to 60
Division with Divisors Up to 10
Division with Divisors Up to 100
Multiply Three or More Numbers Up to 1000
Multiply Three or More Numbers Up to 100
Add and Subtract Decimals Up to 10
Multiply Decimals and Whole Numbers
Multiply Money Amounts
Divide Money Amounts
Division with Decimal Quotients
Add, Subtract Fractions with Like Denominators
Add and Subtract Mixed Numbers
Multiply Fractions
Multiplication Up to 1000
Division with Divisors Up to 100 II
Write Variable Equations to Represent
Recipes
Consumer Math: Unit Prices
Price Lists
Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.
Inequalities with Decimal Multiplication
Inequalities with Decimal Addition and Subtraction
Inequalities with Addition and Subtraction of Mixed Numbers
Choose Numbers with a Particular Quotient
Choose Decimals with a Particular Sum or Difference
Function Tables
Multiply Fractions by Whole Numbers with Tables
Write Variable Expressions
Mixed Decimal Equations
Mixed Decimal Equations
Ratio Tables
Ratios
Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.
Convert Numbers with Hundreds, Thousands, Millions
Round Decimals
Estimate Sums and Differences of Decimals
Division with Decimal Quotients and Rounding
Increasing Multiplication Patterns with Numbers Up to 10,000
Increasing Division Patterns
Increasing Decimal Division Patterns
Decimals with Models
Multiply Fractions with Models
Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate.
Understanding Decimals Expressed in Words
Understanding Integers
Division with Remainder with Dividend Up to 10,000
Division with Remainder with Dividend Up to 1000
Identify Place Values in Decimal Numbers
Put Decimal Numbers in Order Up to 4 Places
What Percentage Is Illustrated?
Convert Scientific Notation
Graph Points on a Coordinate Plane
Coordinate Graphs with Decimals and Negative Numbers
Coordinate Graphs Review with Whole Numbers
Coordinate Graphs as Maps
Relative Coordinates
Convert Graphs to Input/Output Tables
Graph Linear Functions
Create Line Plots
Identify Simple and Complex Solid Shapes
Regular and Irregular Polygons
Number of Sides in Polygons
Create and use representations to organize, record, and communicate mathematical ideas.
Analyze mathematical relationships to connect and communicate mathematical ideas.
Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.
Represent the value of the digit in decimals through the thousandths using expanded notation and numerals.
Compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =.
Round decimals to tenths or hundredths.
Estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division.
Multiply with fluency a three-digit number by a two-digit number using the standard algorithm.
Solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm.
Represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models.
Solve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbers.
Represent quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using objects and pictorial models, including area models.
Solve for quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using strategies and algorithms, including the standard algorithm.
Represent and solve addition and subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operations.
Represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models.
Represent division of a unit fraction by a whole number and the division of a whole number by a unit fraction such as 1/3 � 7 and 7 � 1/3 using objects and pictorial models, including area models.
Add and subtract positive rational numbers fluently.
Add and Subtract Decimal Numbers Up to 2 Places
Complete the Addition or Subtraction Sentence
Add Fractions with Unlike Denominators
Subtract Fractions with Unlike Denominators
Add Multiple Fractions with Unlike Denominators
Addition and Subtraction Equations with Fractions
Add Mixed Numbers with Unlike Denominators
Subtract Mixed Numbers with Unlike Denominators
Addition and Subtraction Equations with Mixed Numbers
Add and Subtract Fractions with Unlike Denominators
Add Multiple Fractions
Divide whole numbers by unit fractions and unit fractions by whole numbers.
Identify prime and composite numbers.
Represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity.
Generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph.
Recognize the difference between additive and multiplicative numerical patterns given in a table or graph.
Describe the meaning of parentheses and brackets in a numeric expression.
Simplify numerical expressions that do not involve exponents, including up to two levels of grouping.
Use concrete objects and pictorial models to develop the formulas for the volume of a rectangular prism, including the special form for a cube (V = l x w x h, V = s x s x s, and V = Bh).
Represent and solve problems related to perimeter and/or area and related to volume.
The student applies mathematical process standards to classify two-dimensional figures by attributes and properties. The student is expected to classify two-dimensional figures in a hierarchy of sets and subsets using graphic organizers based on their attributes and properties.
Recognize a cube with side length of one unit as a unit cube having one cubic unit of volume and the volume of a three-dimensional figure as the number of unit cubes (n cubic units) needed to fill it with no gaps or overlaps if possible.
Determine the volume of a rectangular prism with whole number side lengths in problems related to the number of layers times the number of unit cubes in the area of the base.
The student applies mathematical process standards to select appropriate units, strategies, and tools to solve problems involving measurement. The student is expected to solve problems by calculating conversions within a measurement system, customary or metric.
Describe the key attributes of the coordinate plane, including perpendicular number lines (axes) where the intersection (origin) of the two lines coincides with zero on each number line and the given point (0, 0); the x-coordinate, the first number in an ordered pair, indicates movement parallel to the x-axis starting at the origin; and the y-coordinate, the second number, indicates movement parallel to the y-axis starting at the origin.
Describe the process for graphing ordered pairs of numbers in the first quadrant of the coordinate plane.
Graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output table.
Represent categorical data with bar graphs or frequency tables and numerical data, including data sets of measurements in fractions or decimals, with dot plots or stem-and-leaf plots.
Solve one- and two-step problems using data from a frequency table, dot plot, bar graph, stem-and-leaf plot, or scatterplot.