Describe one object in relation to another using informal language such as over, under, above, and below.

Describe and identify an object by its attributes using informal language.

Sort a variety of objects including two- and three-dimensional geometric figures according to their attributes and describe how the objects are sorted.

Recognize shapes in real-life three-dimensional geometric figures or models of three-dimensional geometric figures.

Identify mathematics in everyday situations.

Select or develop an appropriate problem-solving strategy including drawing a picture, looking for a pattern, systematic guessing and checking, or acting it out in order to solve a problem.

Explain and record observations using objects, words, pictures, numbers, and technology.

The student is expected to justify his or her thinking using objects, words, pictures, numbers, and technology.

Describe and identify two- and three-dimensional geometric figures in order to sort them according to a given attribute using informal and formal language.

Use attributes to describe how 2 two-dimensional figures or 2 three-dimensional geometric figures are alike or different.

Identify and extend whole-number and geometric patterns to make predictions and solve problems.

Identify congruent two-dimensional figures.

Identify lines of symmetry in two-dimensional geometric figures.

Justify why an answer is reasonable and explain the solution process.

Use essential attributes to define two- and three-dimensional geometric figures.

Use translations, reflections, and rotations to verify that two shapes are congruent.

Estimate and use measurement tools to determine length (including perimeter), area, capacity and weight/mass using standard units SI (metric) and customary.

Select and use appropriate units and formulas to measure length, perimeter, area, and volume.

Describe the relationship between radius, diameter, and circumference of a circle.

Select and use appropriate units, tools, or formulas to measure and to solve problems involving length (including perimeter), area, time, temperature, volume, and weight.

Identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics.

Select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math, estimation, and number sense to solve problems.

Validate his/her conclusions using mathematical properties and relationships.

Use angle measurements to classify pairs of angles as complementary or supplementary.

Estimate measurements and solve application problems involving length (including perimeter and circumference) and area of polygons and other shapes.

Develop an awareness of the structure of a mathematical system, connecting definitions, postulates, logical reasoning, and theorems.

Formulate and test conjectures about the properties and attributes of circles and the lines that intersect them based on explorations and concrete models.

Make conjectures about angles, lines, polygons, circles, and three-dimensional figures and determine the validity of the conjectures, choosing from a variety of approaches such as coordinate, transformational, or axiomatic.

Use properties of transformations and their compositions to make connections between mathematics and the real world, such as tessellations.