Mathematics - Algebra IA

Chalkboard

Index

Mahomet-Seymour Schools

Curriculum

Mathematics - Algebra IA

Introduction to Algebra

The learner will be able too evaluate algebraic expressions.

The learner will be able to use the order of operations and grouping symbols.

The learner will be able to use the commutative properties for addition and multiplication.

The learner will be able to use the identity properties for addition and multiplication.

The learner will be able to simplify expressions.

The learner will be able to express numbers with exponents.

The learner will be able to evaluate expressions with exponents.

The learner will be able to evaluate expressions involving parentheses.

The learner will be able to write equivalent expressions using properties.

The learner will be able to use the distributive property to write equivalent expressions.

The learner will be able to use the distributive property to factor expressions.

The learner will be able to use the distributive property to collect like terms.

The learner will be able to write algebraic expressions involving one operation.

The learner will be able to determine whether an equation is true, false, or open.

The learner will be able to find solution sets of an equation.

The learner will be able to recognize equivalent equations.

The learner will be able to solve nonroutine problems using the strategy Draw A Diagram.

The learner will be able to evaluate formulas.

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Integers and Rational Numbers

The learner will be able to give and integer that corresponds to a real-world situation.

The learner will be able to compare integers using > or <.

The learner will be able to find the absolute value of a number.

The learner will be able to show that a number is rational.

The learner will be able to graph rational numbers.

The learner will be able to compare rational numbers using > or <.

The learner will be able to add rational numbers.

The learner will be able to give the additive inverse of a number.

The learner will be able to subtract rational numbers.

The learner will be able to multiply rational numbers.

The learner will be able to divide rational numbers.

The learner will be able to find the reciprocal of a rational number.

The learner will be able to multiply using the distributive property of multiplication over subtraction.

The learner will be able to factor expressions.

The learner will be able to collect like terms in an expression.

The learner will be able to find the inverse of a sum.

The learner will be able to simplify expressions involving parentheses.

The learner will be able to simplify expressions containing multiple grouping symbols.

The learner will be able to write an expression that can be used to solve a problem.

The learner will be able to identify applications of the number properties.

The learner will be able to identify properties of equalities.

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Equations

The learner will be able to use the addition property of equality in solving equations.

The learner will be able to use the multiplication property of equality in solving equations.

The learner will be able to solve equations by first getting all the variable on the same side of the equation.

The learner will be able to solve problems using an equation.

The learner will be able to solve equations by first collecting like terms.

The learner will be able to solve equations containing parentheses.

The learner will be able to translate phrases to algebraic expressions.

The learner will be able to solve for a given variable in a formula.

The learner will be able to solve equations involving absolute value.

The learner will be able to solve problems involving proportions.

The learner will be able to express decimals and fractions as percents and vice versa.

The learner will be able to solve equations involving percent.

The learner will be able to translate compound phrases into algebraic expressions.

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Inequalities

The learner will be able to determine whether a number is a solution of an inequality.

The learner will be able to graph inequalities on a number line.

The learner will be able to solve inequalities using the addition property.

The learner will be able to solve inequalities using the multiplication property.

The learner will be able to solve inequalities using the addition and multiplication properties.

The learner will be able to translate phrases to mathematical inequalities.

The learner will be able to solve problems by translating and solving inequalities.

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Graphs and Linear Equations

The learner will be able to plot points using the coordinate system.

The learner will be able to identify the quadrant associated with a point.

The learner will be able to identify the coordinates of a point.

The learner will be able to determine whether an ordered pair is a solution of an equation.

The learner will be able to graph equations in two variables.

The learner will be able to graph linear equations using intercepts.

The learner will be able to graph linear equations that graph as horizontal and vertical lines.

The learner will be able to find the slope of a line given two points on the line.

The learner will be able to determine the slope for horizontal and vertical lines.

The learner will be able to find the slope of a line from an equation or graph.

The learner will be able to find the slope and y-intercept of a line from an equation.

The learner will be able to graph lines using the slope-intercept equation.

The learner will be able to write an equation of a line using the slope-intercept equation.

The learner will be able to write an equation of a line using the point-slope equation.

The learner will be able to find an equation of a line that models given data.

The learner will be able to determine whether the graphs of two equations are parallel.

The learner will be able to determine whether the graphs of two equations are perpendicular.

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Systems of Equations

The learner will be able to determine whether an ordered pair is a solution of a system of equations.

The learner will be able to find the solution of a system of equations by graphing.

The learner will be able to solve a system of equations by substituting for a variable.

The learner will be able to solve problems using systems of equations.

The learner will be able to solve a system of equations using the addition method.

The learner will be able to solve a system of equations using the multiplication and addition properties.

The learner will be able to solve problems involving uniform motion (distance = (rate)(time), wind/current problems).

The learner will be able to use systems of equations to solve digit and coin problems.

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Inequalities and Absolute Value

The learner will be able to name sets using set builder notation.

The learner will be able to find intersections of sets.

The learner will be able to find unions of sets.

The learner will be able to solve and graph two inequalities in one variable as a conjunction or disjunction.

The learner will be able to solve equations involving absolute value.

The learner will be able to solve and graph inequalities involving absolute value of the form |A| < b.

The learner will be able to solve and graph inequalities involving absolute value of the form |A| > b.

The learner will be able to determine whether a given ordered pair is a solution of an inequality.

The learner will be able to graph inequalities in two variables.

The learner will be able to graph systems of linear inequalities in two variables.

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