
Number Operations
Number Sense
 Read, write and order numbers through 1,000,000,000,000 in standard and exponential forms
 Use exponents to represent powers of ten
 Recognize and use whole number exponents
 Compare, order and round whole numbers, decimals and fractions
 Use and order proper and improper fractions and mixed numbers
 Write a decimal as a fraction in simplest form and write fractions or mixed numbers as decimal numbers
 Rename improper fractions as mixed numbers and rename mixed numbers as improper fractions
 Write fractions and mixed numbers in standard and word form
 Find equivalent fractions using multiplication and division
 Find the GCF and LCM (LCD) of two numbers
 Define rational and irrational numbers. Distinguish between terminating and repeating decimals
 Define and apply ratios, unit rates and percents
 Write numbers in expanded notation up to 1,000,000
 Divisibility rules 2, 3, 4, 5, 6, 8, 9 and 10
 Express composite numbers as products of prime numbers (e.g. factor tree)
 Order fractions on a number line
 Introduce absolute value
Numerical Operations
 Use cummutative and associative properties of addition, distributive, identity (additive and multiplicative), multiplicative inverse (reciprocal) zero product properties
 Use Order of Operations to simplify expressions (*error analysis to spot mistakes in computation)
 Use inverse relationships of additionsubtraction and multiplicationdivision
 Add and subtract fractions with like and unlike denominators
 Multiply and divide fractions, decimals and mixed numbers
 Understand when to use each operation in word problems
 Convert fractions, decimals and percents (also apply to geometry)
 Find percent of a given number
 Find simple interest, sales tax and tips
 Write various number sentences using any of the four operations
 Determine when estimation is appropriate and understand the usefulness of an estimate as distinct from an exact answer
 Use estimation in all operations and problem solving
Geometry and Measurement
Geometry
 Identify and compare two and three dimensional figures using spatial visualization and visual perception
 Use proper symbols to identify lines, rays, segments and angles
 Construct angles and two dimensional figures using straight edge, protractor and compass
 Identify corresponding parts of congruent and similar figures
 Identify and draw commonly used polygons and regular polygons
 Identify and define parts of a circle
 Define pi verbally and in written form
 Classify all quadrilaterals
 Classify solid figures (3dimensional)
 Identify shape and quantity of faces, edges and vertices of 3dimensional figures
 Find area and perimeter of polygons
 Find area and circumference of a circle
Measurement and Data
 Measure and compute volume using centimeter and inch cubic units (blocks). Measure and compute (whole square unit areas) surface area of objects and regions enclosed by geometric figures which can be decomposed into rectangles
 Compare temperatures on a thermometer in Celsius and Fahrenheit degrees
 Measure and compute area, length, width of a rectangle, square or (*triangle) using ruler or yardstick, 1 inch squares or 1 centimeter squares
 Find the missing value given area and length of a rectangle or area and width of a rectangle
Financial Literacy
 Identify the difference between credit and debit, deposit and withdrawal (*profit and loss)
Operations and Algebra
Patterns
 Use number patterns to add, subtract, multiply and divide mentally
 Recognize patterns in sums, differences and products of even and odd numbers
 Describe , analyze and complete patterns involving fractions
Algebra
 Find missing addends, subtrahends, factors, divisors (without use of a calculator)
 Represent unknown quantities with a symbol; learn the importance of x and y as algebraic symbols
 Describe arithmetic operations as functions, including combining operations and inverse operations
 Explore substituting a number value for a variable
Statistics and Probability
Data Analysis
 Take a survey using real life situations, tally and graph the results using frequency distribution tables; discuss outcomes and draw conclusions from the data and ask statistical questions
 Compute measures of central tendency (mean, median, mode and range)
 Create and interpret pictographs, horizontal and vertical bar graphs (single and double), line graphs, tree diagrams, stem and leafpots, and tables (use available technology to create data displays)
 Create and interpret box plots including interquartile range
Probability
 Perform simple probability experiments of simulations, record results and make predictions
 Express probability in fraction form using concrete and semiconcrete activities
 Utilize Venn Diagrams using multiple classifications (e.g. classifying quadrilaterals)