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ABE 031
PRE-ALGEBRA
LEVEL C
Number and Operations: Base Ten (+ The Number System)
 Generalize place value understanding for multi-digit whole
numbers.
 Use place value understanding and properties of operations to
perform multi-digit arithmetic.
 Understand the place value system.
 Perform operations with multi-digit whole numbers and decimals
to hundredths.
The Number System
 Compute fluently with multi-digit numbers and find common
factors and multiples.
Number and Operations: Fractions
 Extend understanding of fraction equivalence and ordering.
 Build fractions from unit fractions by applying and extending
previous understandings of operations on whole numbers.
 Understand decimal notation for fractions, and compare decimal
fractions.
 Use equivalent fractions as strategy to add and subtract fractions.
 Apply and extend previous understanding of multiplication and
division to multiply and divide fractions.
The Number System
 Apply and extend previous understandings of multiplication and
division to divide fractions by fractions.
Ratios and Proportional Relationships
 Understand ratio concepts and use ratio reasoning to solve
problems.
Operations and Algebraic Thinking
 Use the four operations with whole numbers to solve problems.
 Gain familiarity with factors and multiples.
 Generate and analyze patterns.
 Write and interpret numerical expressions.
Expressions and Equations
 Apply and extend previous understandings of arithmetic to
algebraic expressions.
 Reason about and solve one-variable equations and inequalities.
ABE 041
ALGEBRA I
LEVEL D
Expressions and Equations
 Use properties of operations to generate equivalent expressions.
 Solve real-life and mathematical problems using numerical and
algebraic expressions and equations.
 Work with radicals and integer exponents.
 Understand the connection between proportional relationships,
lines, and linear equations.
 Analyze and solve linear equations and pairs of simultaneous linear
equations.
Functions
 Define, evaluate, and compare functions.
 Use functions to model relationships between quantities.
LEVEL E
Number and Quantity: The Real Number System
 Extend the properties of exponents to rational exponents.
Number and Quantity: Quantities
 Reason quantitatively and use units to solve problems.
Algebra: Seeing Structures in Expressions
 Interpret structure of expressions.
 Write expressions in equivalent form to solve problems.
Algebra: Arithmetic with Polynomials and Rational Expressions
 Perform arithmetic operations on polynomials.
 Rewrite rational expressions.
Algebra: Creating Equations
 Create equations that describe numbers or relationships.
Algebra: Reasoning with Equations and Inequalities
 Understand solving equations as a process of reasoning and
explaining reasoning.
 Solve equations and inequalities in one variable.
 Represent and solve equations and inequalities graphically.

Represent and analyze quantitative relationships between
dependent and independent variables.
LEVEL D
The Number System
 Apply and extend previous understandings of numbers to the
system of rational numbers.
 Apply and extend previous understandings of operations with
fractions to add, subtract, multiply, and divide rational numbers.
 Know that there are numbers that are not rational, and
approximate them by rational numbers.
 Understand ratio concepts and use ratio reasoning to solve
problems.
 Analyze proportional relationships and use them to solve realworld and mathematical problems.
ABE 051
GEOMETRY
LEVEL C
Geometry
 Draw and identify lines and angles, and classify shapes by
properties of their lines and angles.
 Graph points on the coordinate plane to solve real-world and
mathematical problems.
 Classify two-dimensional figures into categories based on their
properties.
 Solve real-world and mathematical problems involving area,
surface area, and volume.
Measurement and Data
 Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
 Geometric measurement: understand concepts of angle and
measure angles.
 Convert like measurement units within a given measurement
system.
 Represent and interpret data.
 Geometric measurement: understand concepts of volume and
relate volume to multiplication and to addition.
LEVEL D
Geometry
 Draw, construct, and describe geometrical figures and describe
the relationships between them.
 Solve real-life and mathematical problems involving angle,
measure, area, surface area, and volume.
 Understand congruence and similarity using physical models,
transparencies, or geometry software.
 Understand and apply the Pythagorean Theorem.
LEVEL E
Geometry: Congruence
 Experiment with transformations in the plane.
Geometry: Similarity, Right Triangles, and Trigonometry
 Prove theorems involving similarity.
Geometry: Geometric Measurement and Dimensions
 Explain volume formulas and use them to solve problems.
Geometry: Modeling with Geometry
ABE 061
MODULARIZED MATH
**Includes all standards from ABE 031, ABE 041, and ABE 051. **
LEVEL C
Statistics and Probability
 Develop understanding of statistical variability.
 Summarize and describe distributions.
LEVEL D
Statistics and Probability
 Summarize and describe distributions.
 Use random sampling to draw inferences about a population.
 Draw informal comparative inferences about two populations.
 Investigate chance processes and develop, use, and evaluate
probability models.
 Investigate patterns of association in bivariate data.
LEVEL E
Algebra: Seeing Structures in Expressions
 Interpret structure of expressions.
 Write expressions in equivalent form to solve problems.
Algebra: Arithmetic with Polynomials and Rational Expressions
 Perform algebraic operations with polynomials.
 Rewrite rational expressions.
Algebra: Creating Equations
 Create equations that describe number relationships.
Algebra: Reasoning with Equations and Inequalities
 Understand solving equations as a process of reasoning and
explaining reasoning.
 Solving equations and inequalities in one variable.
 Solve systems of equations.
 Represent and solve equations and inequalities graphically.
Functions:
 Understand the concept of functions and function notation.
 Interpret functions that arise in applications in terms of context.
 Analyze functions using different representations.
Functions: Building Functions
 Build a function that models a relationship between two quantities.
Functions: Linear, Quadratic, and Exponential Models
 Construct and compare linear, quadratic, and exponential models
to solve problems.

Apply geometry concepts in modeling situations.

Interpret expressions for functions in terms of the situation they
model.
Statistics and Probability: Interpreting Categorical and Quantitative Data
 Summarize, represent, and interpret data on a single count or
measureable variable.
 Summarize, represent, and interpret data on two categorical and
quantitative variables.