To access the complete lesson on this topic, go to http://www.yourteacher.com. Students are asked to provide the missing reasons in two-column Algebra proofs using the properties of equality.
To access the complete lesson on this topic, go to http://www.yourteacher.com. Students learn the definition of complementary and supplementary angles, as well as how to find the measures of the complement and supplement of a given angle. Students are also asked to solve word problems in the following form: "If the ratio of an angle to its complement is 2:3, find the measure of each angle."
To access the complete lesson on this topic, go to http://www.yourteacher.com. Students are given word problems involving complementary and supplementary angles that require the student to set up an equation to find the measures of the given angles. Some of these equations involve the distributive property, some have the variable on both sides, and some are polynomial equations.
To access the complete lesson on this topic, go to http://www.yourteacher.com. Students learn that an isosceles triangle is composed of a base, two congruent legs, two congruent base angles, and a vertex angle. Students also learn the isosceles triangle theorem, which states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent; and the converse of the isosceles triangle theorem, which states that if two angles of a triangle are congruent, then the s...
To access the complete lesson on this topic, go to http://www.yourteacher.com. Students learn the formula for the area of a triangle, and are asked to solve problems using this formula. Note that right triangle formulas and trigonometry are used extensively in the problems in this lesson.
To access the complete lesson on this topic, go to http://www.yourteacher.com. Students learn to evaluate expressions by substituting the given integers in for the variables in the given expression, then simplifying. Students also learn to use parentheses when substituting.
To access the complete lesson on this topic, go to http://www.yourteacher.com. Students learn that the absolute value of a number is its distance from zero on a number line. For example, the absolute value of --8 is +8, because --8 is 8 units from zero on the number line. Note that the absolute value of any positive or negative integer is positive. Students also learn that the first step to simplifying absolute value problems is to simplify inside the absolute value, if possible.
To access the complete lesson on this topic, go to http://www.yourteacher.com. Students learn to solve problems using the distributive property as the first step, then combining like terms. Students also learn to change minus signs to plus negatives in order to avoid making common errors with signs when distributing.
To access the complete lesson on this topic, go to http://www.yourteacher.com. Students learn to solve "number" word problems, such as the following. One number is four times as large as another. The sum of the numbers is 45. Find the numbers. Since the first sentence states that one number is 4 times as large as another, the numbers can be represented as x and 4x. Since the second sentence states that the sum of the numbers is 45, the equation can be set up as x + 4x = 45.
To access the complete lesson on this topic, go to http://www.yourteacher.com. Students learn to solve "Geometry" word problems involving perimeters of rectangles and measures of complementary and supplementary angles. Note that if two angles are complementary, they can be represented as x and 90 -- x, and if two angles are supplementary, they can be represented as x and 180 -- x.