Enduring Understandings are important ideas that students should carry with them years beyond the instruction received this year. 

• Solving real-world problems requires a sense of number, communication, and reasoning skills.

Essential Questions are the most important “big picture” questions students should be able to answer after completing learning activities.

• How do we make a reasonable estimate to solve a problem?

• How can you represent the same data in a variety of ways?

• How can we know which operation (s) to use in a problem solving situation?

• How can graphic representations of data help us solve problems?

• What essential components are needed to solve real-world problems?

CSAP Tested Standards  Highest Frequency High Frequency Other Standards and E-Skills Highest Frequency = the timing, intensity and level of accountability is extremely high because mastery of these skills will must be demonstrated in multiple test items on CSAP at this grade level. High Frequency = the timing, intensity and level of accountability is high because mastery of these skills will be tested at this grade level. Other Standards and E-Skills = the timing, intensity, and level of mastery are not urgent. It should be introduced during this time so students can experience the concept and return in future quarters to strive towards mastery.

Standard 1-Number Sense-September

Read, write, order, locate, and compare positive fractions, and decimal numbers to hundredths (including on a number line)

Recognize pictorial representations of common fractions, decimals and percents.

Use appropriate techniques to estimate, determine, and then justify the reasonableness of solutions to problems involving whole numbers.

Show equivalence of common fractions and percents.

Use estimation strategies to determine reasonable answers in addition and subtraction.

Recognize and write representative numbers in different formats (i.e., 30+6; 20+16; 9x4=36).

Compare commonly used proper fractions and terminating decimals.

Define and understand equality and inequality.

Develop, use and explain rules about whole number properties (associative, commutative, distributive).

Use number sense to estimate sums and differences of fractions and decimals (i.e., 5/6 + 7/8 must be equal to an amount less than 2, since each fraction is less than 1)

Standard 2: Patterns and Algebra - September

Analyze and describe patterns using words, tables and graphs.

Standard 3: Data and Graphs - September

Organize and construct displays of data including tables, charts, pictographs, line plots, bar graphs, circle graphs and line graphs from a given set of data using appropriate tools including technology and pencil/paper.

Analyze and draw conclusions about tables, charts, line graphs, bar graphs, pictographs, and line plots.

Read data from tables, charts, pictographs, line plots, bar graphs, circle and line graphs with categorical (i.e., number of pets) and numerical (i.e., heights of buildings) data.

Describe how data collections methods affect the nature of a data set.

Distinguish between median and mode of a set of data.

Identify mean, median, mode and range of data.

From a given scenario, choose the correct graph from possible graph representations.

Standard 4: Geometry - September

Identify, compare, and analyze two-dimensional shapes by attributes (acute angles, obtuse angles, right angles, parallel lines, perpendicular lines, intersecting lines, congruence, similarity, rays, lines, line segments, etc.)

Standard 5: Measurement - September

Determine the appropriate unit of measure (metric or US customary) when estimating distance, capacity, weight, and temperature.

Select and use the appropriate unit and tool to measure to the degree of accuracy required in a particular problem.

Generate a hypothesis or conjecture and solve measurement problems of appropriate complexity created from real-world problems.

Estimate the measure of angles (i.e., 90°, less than 90°, greater than 90°).

Standard 6: Computation - September

Use, explain, and demonstrate the understanding of the four basic operations in problem-solving situations.

Using number sentences and any of the four basic operations, create and illustrate “real” problems with whole numbers.

Use, explain and demonstrate the understanding of addition and subtraction operations in problem solving situations, then justify those results with correct computations.

Use and explain a variety of estimation techniques to solve problems.

Evaluate math reasoning in written and pictorial forms.

Using concrete materials or pictures, determine commonly-used percentages (i.e., 25%, 50%, etc.) in problem-solving situations.

Determine from real-world problems whether an estimate or exact answer is acceptable.

Determine whether information given in a problem is sufficient, insufficient, or extraneous.

Lessons