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 PROBLEMS SOLVING AND COMMUNICATION
Create and write story problems using the following strategies
given a number sentence, state a word problem in own words.
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.