Eighth Grade Mathematics
Curriculum
PROBLEM SOLVING
- Four-step method
- Problem-solving strategies
SET THEORY
- Sets and their elements
- Operations on sets
- Using Venn diagrams to picture sets
DATA ANALYSIS
- Data presentations
- Measures of central tendency and variation
- Line plots
- Stem and leaf diagrams
- Box and whisker plots
- Bar graphs and histograms
- Line graphs
- Circle graphs
- Using data to answer questions
- Understanding surveys
- Scatter plots and trends
INTEGERS
- Integer basics
- Integers and the number line
- Absolute value
- Operations on integers
- Properties of numbers and operations
- Integers in the coordinate system
- Extending integers
- Integral powers and exponents
- Scientific notation in operations
THE LANGUAGE OF ALGEBRA:
VARIABLES, EXPRESSIONS, AND EQUATIONS
- Formulas and expression
- Formulas and variables
- Simplifying algebraic expressions
- Writing varaibale expression
- Equations and inequalities
- Solving equations with 1 operation
- Solving multi-step equations
- Solving problems with equations
- Solving inequalities
LINEAR & NON-LINEAR EQUATIONS IN TWO
VARIABLES
- Equations and linear relationships
- Understanding two-variable relationships
- Solutions to two-variable equations
- Graphing two-variable equations
- Analyzing graphs
- Understanding slope
- Connecting equations, tables and graphs
- Patterns in linear equations and their graphs
- Non-linear equations and their graphs
COUNTING AND PROBABILITY
- Counting
- Tree diagrams
- The Counting Principle
- Permutations, combinations
- Chance and probability
- Experimental probability
- Theoretic probability
- Conditional probability
- Dependent and independent events
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RATIO AND PROPORTION
- Ratios, rates and proportions
- Estimating ratios and rates
- Proportions and equal ratios
- Unit rates
- Relating proportions to graphs
- Problem solving with proportions
- Solving problems with proportions
- Scale Indirect measurement
PERCENT
- Understanding percents
- Percents, decimals, fractions
- Finding percents
- Estimating percents
- Problem solving using percents
- Percent increase, decrease
- Applications of percent change
NUMBER THEORY AND THE REAL NUMBER SYSTEM
- Number theory
- Divisibility and prime factors
- Greatest common factor, least common multiple
- Rational numbers
- Defining rational numbers
- Decimal and fraction form
- Operations on rational numbers
- Irrational numbers
- Perfect squares and square roots
- Square roots and irrational numbers
- The Pythagorean theorem
GEOMETRY AND MEASUREMENT
- Measurement
- Units of measurement
- Significant digits and precision
- Position
- Elements of geometry
- Lines and angles
- Parallel and perpendicular lines
- Polygons
- Picturing 3-D figures
AREA AND VOLUME
- Perimeter, area and surface area
- Perimeter and area of polygons and circles
- Scale and area
- Surface area of prisms, cylinders, pyramids and cones
- Volume
- Volume of prisms, cylinders, pyramids and cones
- Scale and volume
SIMILARITY, CONGRUENCE, AND TRANSFORMATIONS
- Similarity and congruence
- Similar figures
- Congruent figure
- Trigonometry
- Transformations
- Transformations and Congruence
- Transformations and similarity
- Symmetry
- Tessellation
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SET THEORY:
Sets and their elements
Finite and infinite sets
Operations on sets
Using Venn diagrams to picture sets
DATA ANALYSIS:
Data presentations:
Measures of central tendency and variation
Line plots
Stem and leaf diagrams
Box and whisker plots
Bar graphs and histograms
Line graphs
Circle graphs
Using data to answer questions:
Understanding surveys
Scatter plots and trends
INTEGERS:
Integer basics:
Integers and the number line
Absolute value
Operations on integers
Properties of numbers and operations
Integers in the coordinate system
Extending integers:
Integral powers and exponents
Scientific notation in operations
THE LANGUAGE OF ALGEBRA: VARIABLES, EXPRESSIONS, and EQUATIONS:
Formulas and expression:
Formulas and variables
Simplifying algebraic expressions
Writing varaibale expression
Equations and inequalities:
Solving equations with 1 operation
Solving multi-step equations
Solving problems with equations
Solving inequalities
LINEAR AND NON-LINEAR EQUATIONS IN TWO VARIABLES:
Equations and linear relationships
Understanding two-variable relationships
Solutions to two-variable equations
Graphing two-variable equations
Analyzing graphs:
Understanding slope
Connecting equations, tables and graphs
Patterns in linear equations and their graphs
Non-linear equations and their graphs
RATIO AND PROPORTION:
Ratios, rates and proportions:
Estimating ratios and rates
Proportions and equal ratios
Unit rates
Relating proportions to graphs
Problem solving with proportions:
Solving problems with proportions
Scale
Indirect measurement
PERCENT:
Understanding percents:
Percents, decimals, fractions
Finding percents
Estimating percents
Problem solving using percents:
Percent increase, decrease
Applications of percent change
NUMBER THEORY AND THE REAL NUMBER SYSTEM:
Number theory:
Divisibility and prime factors
Greatest common factor, least common multiple
Rational numbers:
Defining rational numbers
Decimal and fraction form
Operations on rational numbers
Irrational numbers:
Perfect squares and square roots
Square roots and irrational numbers
The Pythagorean theorem
GEOMETRY AND MEASUREMENT:
Measurement:
Units of measurement
Significant digits and precision
Position
Elements of geometry:
Lines and angles
Parallel and perpendicular lines
Polygons
Picturing 3-D figures
AREA AND VOLUME:
Perimeter, area and surface area
Perimeter and area of polygons and circles
Scale and area
Surface area of prisms, cylinders, pyramids and cones
Volume:
Volume of prisms, cylinders, pyramids and cones
Scale and volume
SIMILARITY, CONGRUENCE, AND TRANSFORMATIONS
Similarity and congruence:
Similar figures
Congruent figure
Trigonometry
Transformations:
Transformations and Congruence
Transformations and similarity
Symmetry
Tessellations
COUNTING AND PROBABILITY
Counting:
Tree diagrams
The Counting Principle
Permutations, combinations
Chance and probability:
Experimental probability
Theoretic probability
Conditional probability
Dependent and independent events
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