Grade 7-ALGEBRA1
Overall ExpectationsBy the end of this course, students will:
· Translate between words and algebra.
· Evaluate algebraic expressions.
· Add real numbers.
· Subtract real numbers
· Multiply real numbers.· Divide real numbers.
· Evaluating expressions containing exponents.
· Evaluating expressions containing square roots.
· Classify numbers within the real number system.
· Use the order of operations to simplify expressions.
· Use the commutative, associative, and distributive properties to simplify expressions.
· Combine like terms.· Graph ordered pairs in the coordinate planes.
· Graph functions from ordered pairs.
· Solve one-step equations in one variable by using additions or subtraction.
· Solve one-step equations in one variable by using multiplication or division.
· Solve equations in one variable that contain more than one operations
· Solve equations in one variable that contain variable term on both sides.
· Solve a formula for a given variable.
· Solve an equation in two or more variables for one of the variables.
· Write and use ratio, rates, and unit rates.
· Write and solve proportion.
· Use proportions to solve problems involve geometric figures.
· Use proportions and similar figures to measure objects indirectly
· Solve problems involving percent
· Use common applications of percents.
· Estimate with percent.
· Find percent increase and decrease.
· Identify solutions of inequalities in one variable.
· Write and graph inequalities in one variable.
· Solve one step inequalities by using addition.
· Solve one step inequalities by using subtraction.
· Solve one step inequalities by using multiplication.
· Solve one step inequalities by using division.
· Solve inequalities that contain more than one operation.
· Solve inequalities that contain variable terms on both sides
· Solve compound inequalities in one variable.
· Graph solution sets of compound inequalities in one variable
Geometry
Overall ExpectationsBy the end of this course, students will:
- Identify point, line, and plane.
- Identify postulate and theorem.
- Use theorems and postulates to solve problems.
- Identify segment and ray
- Use the mid-point formula
- Identify an angle
- Classify angles according to their measures.
- Identify adjacent angles, congruent angles, vertical angles and angle bisector.
- Identify supplementary and complementary angles.
- Identify corresponding angles, alternate interior angles, alternate exterior angles, interior angles.
- Classify triangles according to its sides.
- Classify triangles according to its angles.
- Identify the exterior angle
- Use the third angle theorem to find the measure of the third angle.