NUMBERS, NUMBER SYSTEMS AND NUMBER RELATIONSHIPS

• Read and write numbers to one million using whole numbers.
• Write numbers to 10,000 using expanded notation.
• Explain, write, and model examples of equivalent fractions, including the fractional equivalent of 1.
• Use models to represent basic fractions and decimals.
• Calculate change up to $99.99.
• Make change up to $9.99 using the smallest number of bills and coins.
• Interpret place value to one million.
   

COMPUTATION AND ESTIMATION

• Calculate sums and differences of numerical and word problems whose answers contain up to four digits.
• Calculate products and quotients of numerical and word problems with two digit multipliers and divisors.
• Add and subtract fractions with like denominators in numerical and/or word problems.
• Add and subtract fractions with unlike denominators without regrouping when only one of the fractions must be changed to its equivalent.
• Demonstrate the ability to round numbers up to the thousands place.
• Demonstrate proficiency with addition, subtraction, multiplication, and division of money in numerical and word problems.
• Estimate, prior to calculation, in order to find a probable solution.
• Demonstrate proficiency in the use of a calculator.
• Describe problem-solving strategies used in a variety of numerical and word problems.
• Predict and calculate elapsed time.
• Demonstrate mental proficiency of basic multiplication facts up to 12x12.
   

MATHEMATICAL REASONING AND CONNECTIONS

• Justify and give examples of other ways to solve problems.
• Compare strengths and weaknesses of various strategies used to solve a problem-solving situation.
• Explain basic valid and invalid arguments within mathematical contexts.
   

MATHEMATICAL PROBLEM SOLVING AND COMMUNICATION

• Create and write story problems using the following strategies

1. given a number sentence, state a word problem in own words
2. model problem with diagrams or physical objects

• Use trial and error and the process of elimination to solve problems. (Guess and test.)
• Explain the method and reasoning behind the problem's solution to determine reasonableness and to verify results with respect to the original problem.
   

STATISTICS AND DATA ANALYSIS

• Systematically collect, organize, and display data for given situations using line plots and bar graphs, including horizontal and vertical double bar graphs.
• Interpret and explain data from tables, line plots, and bar graphs, giving convincing arguments that are based on data analysis and previous experiences.
• Describe data sets using mean (averaging).
   

PROBABILITY AND PREDICTIONS

• Generate a list of all possible outcomes of given events by constructing a table or developing an organized list.
   

ALGEBRA AND FUNCTIONS

• Create, extend, and describe a pattern.
• Create a picture on a grid, and identify the coordinate points.
• Interpret and draw conclusions about data.
• Gather information, analyze the collected data, and display it in a table.
   

GEOMETRY

• Identify basic geometric shapes (circle, triangle, quadrilateral, and other polygons) and describe the differences between them.
• Identify, draw and label quadrilaterals.
• Identify the transformations of a given 2-dimensional figure by turning, sliding, or flipping it.
• Identify congruent and similar polygons.
• Identify and draw lines of symmetry.
• Identify, name, and describe the differences between a ray, a line, and a line segment.

TRIGONOMETRY

• Compare and describe the differences between right angles, obtuse angles, and acute angles.
• Identify, draw, and label right, obtuse, acute, and straight angles.