I can give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions.
I can show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an
I can understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population.
To practice knowing numbers that are not rational are called irrational. To understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion
I can sse square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number.
I can evaluate square roots of small perfect squares and cube roots of small perfect cubes.
I can solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying
I can draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. I can focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle,
I can develop a probability model and use it to find probabilities of events. I can compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.