In "Radical Expressions IV" students will learn to: solve word problems that involve writing equations that include rational expressions and solve "work" and "rate-time-distance" problems that involve writing equations that include rational expressions.
In "Roots and Radicals I" students will learn to: use appropriate radical notation for expressions involving square roots, find the square roots of perfect squares, reduce and simplify square roots of integers that are not perfect squares, find or simplify the square roots of monomials and write radicals with radicals with rational exponents and vice-versa.
In "Roots and Radicals II" students will learn to: multiply and divide two radicals, add or subtract two radicals and rationalize the denominator.
In "Solving Equations I" students will learn to: recognize the identities for addition and multiplications, recognize the inverses for addition and multiplication and use the identities and inverses in solving equations.
In "Solving Equations II" students will learn how to: solve multiple step first degree equations, use some shortcuts to solve equations and understand and work with literal equations.
In "Solving Practical Problems" students will learn to: find formulas to describe relationships between quantities in practical problems, use formulas to organize the information in problems and to identify the variables, use formulas and organized information to develop equations and use formulas and organized information to check solutions.
In "Systems of Linear Equations I" students will learn to: solve a system of two linear equations by graphing, solve a system of two linear equations by substitution, determine how many solutions a system or linear equations has and explain how the number of solutions to a system can be determined from a graph and solve word problems using systems of two linear equations.
In "Systems of Linear Equations II" students will learn to: solve systems of equations using the elimination method and solve more word problems using systems of equations.
In "Systems of Linear Equations III" students will learn to: use the elimination method to solve systems in which the terms have no additive inverses, use the elimination method to solve systems that have terms with coefficients that are fractions and use the elimination method to solve systems in which one or both of the coordinates in the solution are fractions.
In "Systems of Linear Equations IV" students will learn to: determine whether a given problem can be solved with one variable and/or two variables, define the two unknowns in a word problem using a single variable and using two variables, write equations to solve word problems when the unknown s have been identifies using one variable and when the unknowns have been identified using two variables and solve a given word problem with either one equation or with a system of equations.
In "The Pythagorean Theorem and Other Formulas" students will learn to: identify the hypotenuse of right triangles, use the Pythagorean Theorem to find the missing side of a right triangle when the lengths of the two sides are unknown, use the Pythagorean Theorem to determine if a given triangle is a right triangle, use right triangles to solve some simple applications, use the Distance Formula to find the distance between two points on a plane and use the Midpoint formula to find the point that is midway between two points on a line.
In "Using Equations to Solve Problems" students will learn to use equations, tables and diagrams to solve practical problems.
In "Adding Fractions with Different Denominators" students will learn to: find a common denominator of two or more fractions, find the least common denominator of two or more fractions and add two or more fractions with different denominators.
In "Adding Fractions with the Same Denominator" students will learn to: add two or more fractions with the same denominator, change a mixed number to an improper fraction, change an improper fraction to a mixed number and add combinations of mixed numbers, fractions, and whole numbers, provided all the denominators are the same.
In "Adding Signed Numbers" students will learn to: add two or more signed numbers and sovle word problmes involving addition of signed numbers.
In "Adding and Subtracting Decimal Fractions" students will learn to: determine which is the larger or smaller of two decimals, add two or more decimals, subtract decimals and solve word problems involving addition and subtraction of decimals.
In "Addition of Whole Numbers, Part I" students will learn to: state the 100 addition facts from memory, interpret addition of whole numbers on the number line, recognize and use the identity for addition and recognize and solve word problems involving addition of small whole numbers.
In "Addition of Whole Numbers, Part II" students will learn to: find the sum of two or more whole numbers and solve practical problems using addition.
In "Angles, Arcs and Sectors" students will learn to: identify an angle as acute, obtuse, right or straight, compute the complement and supplement of an angle, identify pairs of angles as adjacent, vertical, alternate interior or corresponding, find the length of an arc and find the area of a sector.
In "Area and Volume" students will learn to: use area formulas to find the number of square units in rectangles, parallelograms, triangles and circles, use volume formulas to find the number of cubic units in rectangular solids and cylinders and solve practical problems involving area and volume.