Course Description
This course is designed to help students explore mathematics and learn important concepts and ideas that relate to the real world. Creative problem solving skills are emphasized.
Credits: 5
Course Content
Number and Number Relationships Unit I
- Identify Sets of numbers
- Display sets of numbers with Venn Diagrams
- Make a chart of the number system displaying the categories of numbers that are used in everyday life
- Express numbers in decimal, exponential and scientific notation
- Calculate percentages
- Differentiate between rational and irrational numbers
- Use ratios to solve real life problems
Number Systems and Number Theory Unit II
- Describe the difference between prime numbers and composite numbers
- Calculate the prime factors of any given number
- Determine the Greatest Common Factor between two fractions
- Determine the Least Common Multiple between two numbers
- Know the rules for combining positive and negative numbers with multiplication, division, addition and subtraction
- Define algebra
- Solve simple linear equations with one variable
- Recite and use correctly the Order of Operations
- Solve equations using the Identity Principle
- Solve equations using the Multiply by One Principle
- Solve equations using the Balance Concept
- Use algebra to correctly change from one unit of measurement to another
Computation and Estimation Unit III
- Recite and use correctly the Order of Operations
- Calculate quickly using paper and pencil
- Make even faster calculations with a hand calculator
- Round fractional and whole numbers to any place
- Reduce fractions to their simplest forms
- Use mental math for quick estimation
- Use estimation to verify calculated results
- Determine the appropriate measurement to use for various measures
- Use proportions to solve problems
- Represent all possible outcomes for compound events in an organized way
- Interpret and use ratios
- Represent probabilities as ratios
- Represent probabilities as percents
- Explain the meaning of multiplication of positive fractions
- Compute the range, mean, median and mode of data sets
- Understand how the inclusion of exclusion of data affects the average
Patterns, Functions and Mathematical Connections Unit IV
- Identify patterns
- Anticipate the next value in a patterned sequence
- Make T-Charts to display patterns
- Create algebraic expressions that correctly represent pattern behavior
- Read and interpret coordinate systems
- Plot data point on a coordinate system correctly
- Correctly use the x and y axis on a coordinate system for independent and dependent variables
- Write and solve one-step linear equations in one variable
- Write and evaluate an algebraic expression for a two variable situation
- Graph most linear equations and some non-linear equations
- Recognize multiple uses of mathematics in other fields
- Develop generalizations of results obtained
Measurement Unit V
- Understand the concept of a constant such as pie
- Know the formulas for the circumference and area of a circle
- Know the common estimates of p and use these estimates to calculate the are of circles
- Know and use the formulas for the volume of triangular prisms and cylinders and compare these formulas to the volume of a rectangular solid
- Identify some of the relationships between the angles in a rectangle and a triangle
- Compare geometric measures within and between measurement systems
- Construct drawing and models made to scale
- Use measures expressed as rates
- Use formulas routinely for finding the perimeter and area of a basic two basic dimensional figures
- Calculate the surface area and volume of basic three dimensional figures including prisms and cylinders
- Compute the length of the perimeter, the surface area of the faces, and the volume of a three dimensional object built from rectangular solids
- Understand that when the lengths of all dimensions are multiplied by a scale factor the surface area is multiplied by the square of the scale factor and the column is multiplied by the cube of the scale factor
- Relate changes in measurement with a change of scale to the units used
- Know what congruent figures are
- Construct two dimensional patters for three dimensional models such as cylinders and prisms
