Overview of Math ADW Standards
ADW 5th Grade Math Standards Overview
Number Sense
Students compute with whole numbers, decimals and fractions and understand the relationship among decimals, fractions and percents. They understand the relative magnitudes of numbers. They understand prime and composite numbers.
Computation
Students solve problems involving multiplication and division of whole numbers and solve problems involving addition, subtraction and simple multiplication and division of fractions and decimals.
Algebra and Number Sense
Students use variables in simple expressions, compute the value of an expression for specific values of the variable, and plot and interpret the results. They use two-dimensional coordinate grids to represent points and graph lines.
Geometry
Students identify, describe and classify the properties of plane and solid geometric shapes and the relationships between them.
Measurement
Students understand and compute the areas and volumes of simple objects as well as measuring weight, temperature, time and money.
Data Analysis and Probability
Students collect,display,analyze, compare and interpret data sets. They use the results of probability experiments to predict future events.
ADW 6th Grade Math Standards Overview
Number Sense
Students compare and order positive and negative integers, decimals, fractions and mixed numbers. They find multiples and factors.
Computation
Students solve problems involving addition, subtraction, multiplication and division of integers. They solve problems involving fractions, decimals, ratios, proportions and percentages.
Algebra and Number Sense
Students write verbal expressions and sentences as algebraic expressions and equations. They evaluate expressions, solve simple linear equations and graph and interpret the results. They investigate geometric relationships and describe them algebraically.
Geometry
Students identify, describe and classify the properties of plane and solid geometric shapes and the relationships between them.
Measurement
Students deepen their understanding of measurement of plane and solid shapes and use this understanding to solve problems. They calculate with temperature and money and choose appropriate units of measure in other areas.
Data Analysis and Probability
Students compute and analyze statistical measures for data sets. They determine theoretical and experimental probabilities and use them to make predictions about events.
ADW 7th Grade Math Standards Overview
Number Sense
Students understand and use scientific notation and square roots. They convert between fractions and decimals.
Computation
Students solve problems involving integers, fractions, decimals, ratios and percentages.
Algebra and Number Sense
Students express quantitative relationships using algebraic terminology, expressions, equations, inequalities and graphs.
Geometry
Students deepen their understanding of plane and solid geometric shapes by constructing shapes that meet given conditions and by identifying attributes of shapes.
Measurement
Students compare units of measure and use similarity to solve problems. They compute the perimeter, area and volume of common geometric objects and use the results to find measures of less regular objects.
Data Analysis and Probability
Students collect, organize and represent data sets and identify relationships among variables within a data set. They determine probabilities and use them to make predictions about events.
ADW Pre Algebra Math Standards Overview
Number Sense
Students know the properties of rational and irrational numbers depressed in a variety of forms. They understand and use exponents, powers and roots.
Computation
Students compute with rational numbers expressed in a variety of forms. They solve problems involving ratios, proportions and percentages.
Algebra and Number Sense
Students solve simple linear equations and inequalities. They interpret and evaluate expressions involving integer powers. They graph and interpret functions. They understand the concepts of rate and slope.
Geometry
Students deepen their understanding of plane and solid geometric shapes and properties by constructing shapes that meet given conditions, identifying attributes of shapes and by applying geometric concepts to solve problems.
Measurement
Students convert between units of measure and use rates and scale factors to solve problems. They compute perimeter, area and volume of geometric objects. They investigate how perimeter, area and volume are affected by changes in scale.
Data Analysis and Probability
Students collect, represent, organize and interpret relationships in data sets that have one or more variables. They determine probabilities and use them to make predictions about events.
ADW Algebra Math Standards Overview
Operations with Real Numbers
Students simplify and compare expressions.They use rational exponents and simplify square roots
Linear Equations and Inequalities
Students solve linear equations and inequalities in one variable. They solve word problems that involve linear equations, inequalities or formulas.
Relations and Functions
Students sketch and interpret graphs representing given situations. They understand the concept of a function and analyze the graphs of functions.
Graphing Linear Equations and Inequalities
Students graph linear equations and inequalities in two variables. They write equations of lines and find and use slope and y-intercept of lines. They use linear equations to model real data.
Pairs of Equations and Inequalities
Students solve pairs of linear equations using graphs and using algebra. They solve pairs of linear inequalities using graphs. They solve word problems involving pairs of linear equations.
Polynomials
Students add, subtract, multiply, and divide polynomials. They factor quadratics.
Algebraic Fractions
Students simplify algebraic ratios and solve algebraic proportions.
Quadratic, Cubic and Radical Equations
Students graph and solve quadratic and radical equations. They graph cubic equations.
Mathematical Reasoning and Problem Solving
Students use a variety of strategies to solve problems.