BENCHMARKS
Reading and writing numbers
• Ones, tens, hundreds, thousands, millions, billions
• Comparing numbers
• Greater than, less than
• Introduction to estimation
Rounding
• Ones, tens, hundreds, thousands, millions, billion
Addition
• Static addition
• Dynamic addition
Multiplication
• Static multiplication
• Dynamic multiplication
• Geometric multiplication
• Powers of numbers
o Ten to the power 1-6
o Powers of two cube
o Explore powers
o Exponential notation
• Multiples
o One set of multiples 1-6
o More than one set of multiples
o Least common multiple
Division
• Static Division
• Divisibility
o By two
o By four and five
o By 25
o By nine
• Dynamic division
• Test tubes
• Without material
• Estimation
• Word problems
Problem-solving/word problems
• One step
• Two step
• Multiple step
Factors
• Greatest common factors
• Factor trees
• Prime factors
Fractions
• Equivalence
• Simplifying
• Changing improper fractions to mixed numbers and vice versa
• Adding like denominators
• Subtracting like denominators
• Adding and subtracting mixed numbers with like denominators
• Adding with different denominators
• Subtracting with different denominators
• Multiplying fractions
• Multiplying mixed numbers
• Dividing fractions
• Dividing mixed numbers
Probability
Decimals
• Reading and writing decimals, tenths—billionths
• Addition
• Subtraction
• Multiplication
o Geometric multiplication
• Division
• Changing decimals to fractions and fractions to decimals
Percentages
• Fraction to decimal
• Decimal to percent
• Percent to fraction
• Word problems
Integers
• Number line
• Negative snake addition
• Negative snake subtraction
• Comparing integers
Rules for functions
Word problems
Ratio
• Concept, language, and notation
• Ratios as an indicated division
• Problem-solving with ratios
Proportion
• Concept, language, and notation
• Cross multiplication
• Problem-solving using proportion
Introduction to Algebra
• Concept of equation, balancing equations
• Isolating the unknowns
• Order of operations
• Word problems