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Aim for Algebra Content

The Coordinate Plane

The Coordinate Plane

Students will locate points in the plane and work to solve problems using the coordinate plane. The module also addresses the solution of an equation in two variables, focusing on functions and relations, the vocabulary of functions, and linear functions. Lessons on equations of lines include graphing a line, slope of a line, parallel and perpendicular lines, slope-intercept form of a line, and point-slope form of a line. When solving systems of linear equations students relate algebraic and geometric interpretations of simultaneous solutions.

Data and Probability

Data and Probability

Students will discuss appropriate sample sizes, organize and interpret data, and use measures of central tendency and range. Students will then explore probability and use their understanding of probability to form conclusions on events.

Equations and Formulas

Equations and Formulas

This module emphasizes the meaning of equality and the function of the equal sign in an equation. Students will understand and use the Properties of Equality to solve one and two step equations. They will then apply those strategies to transform formulas and solve formulas for a specified variable.

Exponents

Exponents

Students will develop and apply the meaning of positive integer exponents in contextual situations, and extend patterns to conceptualize the meaning of a zero exponent and negative exponents. They will generalize patterns within context to develop the properties of exponents while applying exponents to both numbers and variables.

Inequalities

Inequalities

This module introduces the notation and vocabulary of inequalities, explores the properties of inequalities and how to solve them, and has students illustrate what the solutions look like on a coordinate plane.

Number Theory

Number Theory

This module reinforces number sense and the language of numbers, factors, multiples, and divisors. Students will work with the set of Natural Numbers then extend their understanding to algebraic expressions.

Patterns

Patterns

Students will examine and analyze numerical and algebraic patterns. They will connect patterns to physical models and make generalizations. To describe patterns, students will use recursive and explicit rules. They will develop their understanding of functions as they connect the physical models of patterns to the numerical relationships in input/output tables. This module will improve logic, mathematical reasoning, and problem-solving skills. Students will be able to connect the patterns they study in this module to graphic representations of those patterns.

Proportional Reasoning

Proportional Reasoning

Students will apply their understanding of rations to reason about proportional relationships. They will use conceptually-based strategies to gain a deeper understanding of percents and unit conversions.

Ratio and Proportion

Ratio and Proportion

Students make comparisons and distinguish between additive (absolute) and multiplicative (relative) thinking. They learn to use ratios and rates to make statements about one measurement in relation to another. They are able to determine equivalent ratios and compare ratios. The concept of scale and similar figures is applied in various contexts. Several strategies are developed to solve proportions: ratio tables, equivalent fractions, and solving proportions algebraically.

Rational Numbers

Rational Numbers

This module reinforces the concepts involved in working with rational numbers. Students use models to conceptualize the meaning of rational numbers and operations with rational numbers. They will also extend their understanding to rational expressions.

Signed Number Operations

Signed Number Operations

This module reinforces the concepts involved in working with signed numbers. Students use models to conceptualize operations with signed numbers. They will also work with absolute values and solve number puzzles.

Variables and Expressions

Variables and Expressions

Students represent quantities with variables to write, interpret, and evaluate expressions. They translate expressions into words and words into algebraic expressions. Students simplify algebraic expressions using the order of operations and the commutative, associative, and distributive properties.