1.1.1 Order numbers from a set of numbers    from 0-31 from least to greatest and vice versa.

1.1.2 Identify numbers as a unit or in various representations, including combinations of tens and ones.

1.1.3 Name the whole number that is 1 unit or 10 units greater or less than a given number.

1.1.4 Read and write whole numbers 0-31.

1.1.5 Use physical models (unifix cubes, base 10 pieces) to show understanding of place value.

1.1.6 Recognize the difference in magnitude (reasonableness of an answer, number sense) of whole numbers.

1.1.7 Demonstrate the knowledge of differences in uses of ordinal (first, second, third…) and cardinal (1,2,3…) numbers and explain the uses of numbers in everyday context.

1.1.8 Using a model, create fractional representations of 1/2, 1/3, 1/4.

1.1.9 Given a fractional model/drawing, identify the corresponding fraction.

1.1.10 Skip count by twos, threes, fives, and tens.

1.1.11 Identify odd/even numbers.

31 equals 3 tens and 1 one, 31 equals six groups of 5 and 1.

Identify and write a number 31 or less given a model or when given a number make the model of that number.

Given a visual representation of a bag of potatoes, students will be able to estimate if there are 2 or 20 potatoes in the bag.

Calendars, clocks, signs, and literature.

Sunburst: Grouping and Place Value
Poof! And Other Overhead Math Stories, by Betsy Franco, "Elf Cakes" p. 72

1.2.1 Develop meaning for the operations of addition and subtraction by using number lines, comparisons, manipulatives, etc.

1.2.2 Using whole numbers, explore the relationship between repeated addition and multiplication.

1.2.3 Explore the inverse relationship between addition and subtraction.

1.2.4 Given a word problem, select and apply the appropriate operation to solve it.

1.2.5 Given an addition or subtraction equation, create a story problem that could be solved using this equation, or given a story problem, write an appropriate equation.

1.2.6 Recognize the effects of performing the operations of addition and subtraction with whole numbers.

1.3.1 Develop proficiency with addition and subtraction facts with sums up to 9 and minuends no greater than 9.

1.3.2 Use a variety of mental computation and estimation techniques to solve problems.

1.3.3 Explore when it is appropriate to use estimation, mental calculation, paper and pencil techniques, and/or technology to solve problems.

1.3.4 Select appropriate computational techniques to solve a problem and determine reasonableness with whole numbers.

1.3.5 Add two or more whole numbers without regrouping, with an emphasis on sums of less than 31.

1.3.6 Subtract two-digit numbers without regrouping.

1.3.7 Use a calculator to explore the operations of addition and subtraction.

1.3.8 Use manipulatives to explore addition and subtraction algorithms.

1.3.9 Use estimation to determine the reasonableness of a calculation done by calculator/computer.

2.1.1 Name, model, describe, and classify common two-dimensional objects.

2.1.2 Name, model and classify two-dimensional objects (to include trapezoid, hexagon, parallelogram, and rhombus).

2.1.3 Name and classify the cube, sphere, cone, and cylinder.

2.1.4 Recognize shapes that have a line of symmetry.

2.2.1 Demonstrate an understanding of positional terms.

2.2.2 Copy, compare, and visualize shapes by drawing and using manipulatives (to include trapezoid, hexagon, parallelogram and rhombus).

2.2.3 Predict results of combining, subdividing, and changing shapes.

2.3.1 Recognize and apply flips (reflections) and turns (rotations), using manipulatives to extend a pattern.

2.4.1 Understand the need for a uniform unit of measure.

2.4.2 Apply basic measuring skills to measure lengths of objects using standard and non-standard units of measure.

2.4.3 Recognize the attributes of length, area, and volume, using non-standard units.

2.4.4 When appropriate find and/or estimate the perimeter of polygons using non-standard units.

2.5.1 Identify the parts of an analog clock.

2.5.2 Tell time to the half-hour.

2.5.3 Read a thermometer to the nearest five degrees.

2.5.4 Identify and give the value of a penny, nickel and dime.

3.1.1 Collect, organize, and interpret data using observations, and surveys.

3.1.2 Make inferences that are based on data.

3.1.3 construct and interpret tables and graphs.

bar, picture, and circle graphs.

4.1.1 Sort, classify and order objects by their properties.

4.1.2 Recognize, describe, analyze, extend, and create a wide variety of patterns using concrete models, numbers, graphs, and shapes.

4.1.3 Write the number pattern indicated by a written or oral rule.

4.2.1 Interpret the equal symbol as demonstrating equivalence between quantities.

4.2.2 Solve open sentences (equations) that express relationships.

4.2.3 Plot points on a number line.

4.3.1 Recognize quantitative change.