Students understand place value of whole numbers 

Skills: 

1.1 Count, read, and write whole numbers to 10,000 

1.2 Compare and order whole numbers to 10,000 

1.3 Identify the place value for each digit in numbers to 10,000

1.4 Round off numbers to 10,000 to the nearest ten, hundred and thousand

1.5 Use expanded notation to represent numbers 

Students calculate and solve problems involving addition, subtraction, multiplication and division

Skills: 

2.1 Find the sum or difference of two whole numbers between 0 and 10,000 

2.2 Memorize to automaticity the multiplication table for numbers between 1 and 10 

2.3 Use the inverse relationship of multiplication and division to compute and check results 

2.4 Solve simple problems involving multiplication of multi-digit numbers by one-digit numbers 

2.5 Solve division problems in which a multi-digit number is evenly divided by a one-digit number 

2.6 Understand the special properties of 0 and 1 in multiplication and division 

2.7 Determine the unit cost when given the total cost and number of units 

2.8 Solve problems which combine two or more of the skills above

Students understand the relationship between whole numbers, simple fractions and decimals 

Skills: 

3.1 Compare fractions represented by drawings or concrete materials to show equivalency, and to add and subtract simple fractions in context

3.2 Add and subtract simple fractions 

3.3 Solve problems involving addition, subtraction, multiplication and division of money amounts in decimal notation and multiply and divide money amounts in decimal notation using whole numbers multipliers and divisors

3.4 Know and understand that fractions and decimals are two different representations of the same concept 

Students select appropriate symbols, operations and properties to represent, describe, simplify and solve simple number relationships

Skills: 

1.1 Represent relationships of quantities in the form of mathematical expressions, equations, or inequalities 

1.2 Solve problem involving numeric equations or inequalities 

1.3 Select appropriate operational and relational symbols to make an expression true 

1.4 Express simple unit conversions in symbolic form 

1.5 Recognize and use the commutative and associative properties of multiplication 

Students represent simple functional relationships 

Skills:

2.1 Solve simple problems involving a functional relationship between two quantities 

2.2 Extend and recognize a linear pattern by its rules 

Students choose and use appropriate units and measurement tools to quantify the properties of objects

Skills: 

1.1 Choose appropriate units (metric and U.S. customary) and tools, and estimate and measure length, liquid volume and weight/mass 

1.2 Estimate or determine the area and volume of solid figures by covering them with squares or by counting the number of cubes the would fill them 

1.3 Find the perimeter of a polygon with integer sides

1.4 Carry out simple unit conversions within a system of measurement

Students describe and compare the attributes of plane and solid geometric figures and use their understanding to show relationships and solve problems 

Skills: 

2.1 Identify, describe and classify polygons (including pentagons, hexagons and octagons) 

2.2 Identify attributes of triangles 

2.3 Identify attributes of quadrilaterals 

2.4 Identify right angles in geometric figures or in appropriate objects and determine whether other angles are greater or less than a right angle 

2.5 Identify, describe, and classify common three-dimensional geometric objects 

2.6 Identify the common solid objects that are the component parts needed to make a more complex solid object 

Students conduct simple probability experiments by determining the number of possible outcomes, and make simple predictions 

Skills: 

1.1 Identify whether common events are certain, likely, unlikely, or improbable 

1.2 Record the possible outcomes for a simple event and systematically keep track of the outcomes when the event is repeated many times 

1.3 Summarize and display the results of probability experiments in a clear and organized way 

1.4 Use the results of probability experiments to predict future events 

Students make decisions about how to approach problems

Skills: 

1.1 Analyze problems by identifying relationships, discriminating relevant from irrelevant information, sequencing and prioritizing information, and observing patterns" 

1.2 Determine when and how to break a problem into simpler parts

Students use strategies, skills and concepts in finding solutions

Skills: 

2.1 Use estimation to verify the reasonableness of calculated results

2.2 Apply strategies and results from simpler problems to more complex problems 

2.3 Use a variety of methods such as words, numbers, symbols, charts, graphs, tables, diagrams and models to explain mathematical reasoning 

2.4 Express the solution clearly and logically using appropriate mathematical notation and terms and clear language, and support solutions with evidence, in both verbal and symbolic work 

2.5 Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy 

2.6 Make precise calculations and check the validity of the results from the context of the problem 

Students move beyond a particular problem by generalizing to other situations 

Skills: 

3.1 Evaluate the reasonableness of the solution in the context of the original situation 

3.2 Note method of deriving the solution and demonstrate conceptual understanding of the derivation by solving similar problems 

3.3 Develop generalizations of the results obtained and extend them to other circumstances