1.0 Polygons
1.1 Distinguish between polygons and non-polygons and between regular and non-regular polygons.
1.2 Name polygons by number of sides.
1.3 Sort and classify triangles and quadrilaterals.
1.4 Use known angles to find the measures of others.
1.5 Find sums of angles in regular and non-regular polygons and explore the relationship to the total number of sides.
1.6 Explore connections between geometric and numerical patterns.
1.7 Explore relationships among angles, sides and areas of similar polygons.
2.0 Fractions, Percents, and Decimals
2.1 Describe everyday situations that involve fractions, decimals, and percents.
2.2 Use fractions and percents to name portions of groups.
2.3 Identify equivalent fractions, percents, and decimals.
2.4 Represent, compare, and order fractions, decimals, and percents.
2.5 Identify and label fractions between 0 and 1 on a number line.
2.6 Solve word problems and express answers to fit the context.
3.0 Probability
3.1 Match verbal and numeric descriptions of probability.
3.2 Interpret a probability as a measure or quantity.
3.3 Use probability to predict how often an event will happen and to select events most likely to occur.
3.4 Compare expected outcomes with actual outcomes.
3.5 Estimate probabilities from actual trials.
3.6 Predict and analyze features of distributions, including center and variability.
3.7 Interpret the fairness of a game as equal probability to win.
3.8 Develop systematic ways to generate a list of all possibilities.
3.9 Apply knowledge of probability to design a fair game. Write directions others can follow.
4.0 Computation and Estimation
4.1 Develop, record, explain, and compare strategies for estimating and solving subtraction, multiplication, and division problems in more than one way.
4.2 Make sense of remainders in a variety of contexts.
4.3 Interpret, record, and use division and multiplication notation in a variety of situations.
4.4 Explain the relationships among the four basic operations.
4.5 Develop real-life meaning for quantities in the thousands, ten thousands, and hundred thousands.
5.0 Measurement
5.1 Recognize metric and U.S. standard measurement units.
5.2 Decide when precise measurement is required and when estimates are sufficient.
5.3 Calculate approximate distances on maps.
5.4 Ordering items by measures of weight and of liquid amount.
5.5 Develop a sense of volume as the space something occupies or the capacity of a container.
5.6 Distinguish between quantity and weight.
5.7 Write about weight, liquid capacity, and density.
5.8 Determine relative quantities.
5.9 Develop vocabulary for units of time.
5.10 Develop benchmarks for minutes and years.
6.0 Tables and Graphs
6.1 Compare sequences of numbers and shapes of graphs.
6.2 Compare graphs to describe rates of growth.
6.3 Explore and represent relationships among distance, time, and speed.
6.4 Make, interpret, and compare tables, graphs, and stories that show
accumulated distance and speed.
6.5 Collect and record data in regular time intervals to analyze patterns of change.
7.0 Volume
7.1 Determine how many cubes fit in a rectangular box.
7.2 Design boxes to hold packages of different sizes.
7.3 Understand the concept of volume and units of volume.
7.4 Understand characteristics of units of volume, such as shape and size.
7.5 Develop, describe, and justify methods of determining volume.
7.6 Use geometric solids to design models and to determine their volume.
8.0 Statistics
8.1 Collect, organize, and collate data, and make line plots and tables to examine and compare data sets.
8.2 Use computer and database tool to enter, analyze, and examine data in a computer database.
8.3 Develop strategies to find representative samples.
8.4 Formulate, test, define, and refine survey questions and design a survey.