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.
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 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.
To practice understanding that positive and negative numbers are used together to describe quantities having opposite directions or values; using positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of
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 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,
To apply and extend previous understandings of computing unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units; to apply and extend previous understandings of