La Habra High School
Mathematics Department

---

Integrated Algebra 1 Standards

ALGEBRA I CONCEPTS

• recognize the differences between the properties of real numbers.
• apply the appropriate arithmetic properties such as distributive, associative, commutative, etc.
• distinguish between valid and invalid solutions.
• calculate the opposite of a number.
• find the root of a number.
• demonstrate the proper use for the rules of exponents.
• find the reciprocal of a number.
• write the expression and/or equation in a simpler form.
• solve and check an equation or inequality in one variable.
• write and solve the equation of a word problem.
• graph and analyze a linear equation.
• graph and analyze a linear inequality.
• substitute the coordinates of a point into an equation to determine if the statement is true or false.
• write the equation of a line given a point and slope.
• recognize the relationship between the slopes of parallel and perpendicular lines.
• find the point where two lines intersect on a graph.
• graph two linear inequalities on a coordinate plane to find the solution.
• simplify rational expressions.
• write and solve an equation from a word problem.
• factor algebraic expressions.
• find the solution to a quadratic equation by factoring.
• understand and recognize a function.
• identify control and dependent variables.
• identify functions using the vertical-line test.
• identify the quadratic formula.
• solve quadratic equations.
• use a table of values to sketch a parabola.
• identify the x-intercept(s) as the solution(s).
• find the number of solutions using the quadratic formula or by factoring.
• prove that conjectures are false by one counterexample.
• find the point where two lines intersect.
• graph linear inequalities on a coordinate plane.

GEOMETRIC CONCEPTS

• calculate perimeter, area, and volume.
• calculate volumes and surface areas of common three-dimensional shapes.
• find areas of quadrilaterals and triangles.
• investigate and use the relationship among the lengths of the sides of a right triangle.
• state the definitions of sine, cosine, and tangent.
• compute the length of the missing side using the proper ratio.
• translate, rotate, and reflect figures on a coordinate plane.
• investigate and use relationships between angles and circles, angles and triangles, and angles formed by intersecting lines.
• verify that corresponding sides of two similar figures are proportional and the corresponding angles are congruent.

PROBABILITY & STATISTICS

• use histograms, frequency tables, and stem and leaf plots to choose an appropriate data display for a data set.
• draw a box and whisker plot and use it to compare data sets.
• make and interpret a scatter plot of data to make predictions.
• describe how likely it is that something will happen.
• determine theoretical and geometric probabilities using lengths and areas.
• make predictions using sampling.