Program Goal

Content Thread

Grade-Level Goal

Understand the Meanings, Uses, and Representations of Numbers

Rote counting

Count on by 1s, 2s, 5s, and 10s past 100 and back by 1s from any number less than 100 with and without number grids, number lines, and calculators.

Rational counting

Count collections of objects accurately and reliably; estimate the number of objects in a collection.

Place value and notation

Read, write, and model with manipulatives whole numbers up to 1,000; identify places in such numbers and the values of the digits in those places.

Meanings and uses of fractions

Use manipulatives and drawings to model halves, thirds, and fourths as equal parts of a region or a collection; describe the model.

Number theory

Use manipulatives to identify and model odd and even numbers.

Understand Equivalent Names for Numbers

Equivalent names for whole numbers

Use manipulatives, drawings, tally marks, and numerical expressions involving addition and subtraction of 1- or 2-digit numbers to give equivalent names for whole numbers up to 100.

Understand Common Numerical Relations

Comparing and ordering numbers

Compare and order whole numbers up to 1,000.

Program Goal

Content Thread

Grade-Level Goal

Compute Accurately

Addition and subtraction facts

Demonstrate appropriate fluency with addition and subtraction facts through 10+10.

Addition and subtraction procedures

Use manipulatives, number grids, tally marks, mental arithmetic, and calculators to solve problems involving the addition and subtraction of 1-digit whole numbers with 2-digit whole numbers; calculate and compare the values of combinations of coins.

Make Reasonable Estimates

Computational estimation

Estimate reasonableness of answers to basic fact problems (e.g., Will 7+8 be more or less than 10?).

Understand Meanings of Operations

Models for the operations

Identify change-to-more, change-to-less, comparison, and parts-and-total situations.

Program Goal

Content Thread

Grade-Level Goal

Select and Create Appropriate Graphical Representations of Collected or Given Data

Data collection and representation

Collect and organize data to create class-constructed tally charts, tables, bar graphs, and line plots.

Analyze and Interpret Data

Data analysis

Use graphs to answer simple questions and draw conclusions; find the maximum and minimum of a data set.

Understand and Apply Basic Concepts of Probability

Qualitative probability

Describe events using certain, likely, unlikely, impossible, and other basic probability terms.

Program Goal

Content Thread

Grade-Level Goal

Understand the Systems and Processes of Measurement; Use Appropriate Techniques, Tools, Units, and Formulas in Making Measurements

Length, weight, and angles

Use nonstandard tools and techniques to estimate and compare weight and length; measure length with standard measuring tools.

Money

Know and compare the value of pennies, nickels, dimes, quarters, and dollar bills; make exchanges between coins.

Use and Understand Reference Frames

Temperature

Identify a thermometer as a tool for measuring temperature; read temperatures on Fahrenheit and Celsius thermometers to the nearest 10¯.

Time

Use a calendar to identify days, weeks, months, and dates; tell and show time to the nearest half and quarter hour on an analog clock.

Program Goal

Content Thread

Grade-Level Goal

Investigate Characteristics and Properties of Two- and Three-Dimensional Geometric Shapes

Plane and solid figures

Identify and describe plane and solid figures including circles, triangles, squares, rectangles, spheres, cylinders, rectangular prisms, pyramids, cones, and cubes.

Apply Transformations and Symmetry in Geometric Situations

Transformations and symmetry

Identify shapes having line symmetry; complete line-symmetric shapes or designs.

Program Goal

Content Thread

Grade-Level Goal

Understand Patterns and Functions

Patterns and functions

Extend, describe, and create numeric, visual, and concrete patterns; solve problems involving function machines, "What_s My Rule?" tables, and Frames-and-Arrows diagrams.

Use Algebraic Notation to Represent and Analyze Situations and Structures

Algebraic notation and solving number sentences

Read, write, and explain expressions and number sentences using the symbols +,-, and = and the symbols > and < with cues; solve equations involving addition and subtraction.

Properties of the arithmetic operations

Apply the Commutative and Associative Properties of Addition and the Additive Identity to basic addition fact problems.