Math Exit Knowledge

Sixth, seventh and eighth grade students participate in a comprehensive review of mathematics beginning with addition, subtraction, multiplication, and division of whole and decimal numbers. It continues through fractions, percentages, and conversions. It deals with variables, equations, absolutes, and integers. On the way to the basics of geometry, it covers units of measure and time.

Whole Numbers

  • Define whole numbers
    1. Read and write whole numbers
    2. Digit form
    3. Word form
    4. Standard form
    5. Expanded form
    6. Scientific notation
  • Place value through billions
  • Roman numbers
  • Number line
    1. Negative numbers
    2. Absolute value of integers
    3. Compare and order integers
  • Rounding
  • Basic operations
  • Addition
    1. Identity
    2. Commutative
    3. Associative
    4. Check answer
    5. Estimate sum
  • Subtraction
    1. Communtative property
    2. Distributive property
    3. Add with zeros
    4. Estimate difference
    5. Check answer
  • Multiplication
    1. Commutative
    2. Associative
    3. Distributive
    4. Zero property
    5. Estimate product
    6. Multiply by powers of 10
    7. Check answer
  • Division
    1. Divisibility rules
    2. Commutative property
    3. Multicative idenity
    4. Remainder
    5. Estimate quotient
    6. Check answer
  • Arithmetic Expression
  • Problem solving (word problems)
  • Decimal Numbers
  • Place value through thousandths
  • Read and write decimal numbers
    1. Digit form
    2. Word form
    3. Expanded form
    4. Decimal notation
  • Compare and order decimals
  • Round decimals
  • Compare decimals
  • Basic operations with decimals
    1. Add decimals
    2. Subtract decimals
    3. Multiply decimals
      1. By zero
      2. By powers of ten
    4. Divide decimals
      1. Whole number by decimal
      2. Decimal by decimal
      3. Repeating decimals
    5. Estimate solution
  • Exponents
  • Squares and square roots
  • Solve word problems with decimals
  • Fractions

  • Prime factorization
  • Greatest Common Factor (GCF)
  • Least Common Multiple (LCM)Parts of a fraction
  • Reciprical of a fraction
  • Cross multiplying fractions
  • Order or compare fractions
  • Equal, greater than, less than
  • Change fraction to equal fraction
  • Change fraction to simplest form
  • Reduce fractions
  • Mixed number to improper fraction
  • Improper fraction to mixed number
  • Round fractions
  • Basic operations with fractions
  • Add and subtract fractions
  • Like denominators
  • Carry
  • Borrow
  • Unlike denominators
  • Common denominator
  • Cross multiply/multiply denominators
  • Mixed numbers
  • Whole numbers from mixed numbers
  • Fractions from whole numbers.
  • Fractions from mixed numbers
  • Checking answers
  • Multiply fractions
  • Cancel fractions
  • Mixed numbers
  • Whole numbers and fractions
  • Checking answer
  • Divide fractions
  • Reciprocal
  • Mixed numbers
  • Checking answer
  • Simplify complex fractions
  • Solve word problems with fractions
  • Ratios, Proportions, and Percents

  • Ratios
  • Define ratio
  • Write ratios in three forms
  • Rewrite fractions in ratio form
  • Rewrite ratios in fraction form
  • Compare ratios
  • Equivalent, greater than, less than
  • Define rates
  • Convert rates
  • Solve problems with ratios and rates
  • Proportions
  • Define proportion.
  • Solve proportions.
  • Average rate of speed
  • Solve word problems involving proportions.
  • Percents
  • Percent to fraction
  • Fraction to percent
  • Percent to decimal
  • Decimal to percent
  • Estimate percents
  • Find percent of a number
  • Find what percent one number is of another
  • Find a number when a percent of it is known
  • Recognize the percent (P), base (B) and percentage (N) of a written statement
  • Solve word problems with percent
  • Business Math

  • Percent of change (increase or decrease)
  • Scales
  • Discounts, mark-ups
  • Commissions
  • Checking account
    1. Writing checks
    2. Balancing checkbook
  • Interest
    1. Simple
    2. Compound
  • Taxes
  • Statistics and Probability

  • Statistics
  • Find mean, median, mode and range
  • Graphs
  • Collect, record and analyze data
  • Construct, read, analyze and interpret tables, charts, graphs and data plots horizontal and vertical bar graph
  • pictograph
  • tally chart
  • circle graph (pie graph)
  • histograms
  • box-and-whisker
  • stem-and-leaf plot
  • scatter plot
  • Venn diagrams
  • flow chart
  • Formulate predictions
  • Locate points on a line graph (grid) using ordered pairs
  • Solve problems using graphs
  • Missing, incorrect information
  • Probability
  • Event
  • Properties of probability
  • Predict outcomes
  • Independent events
  • Dependent events
  • Compound events
  • Randomly occurring events
  • Make predictions
  • Paramutions
  • Measurement

  • Know and compare customary units
  • Length
  • Mass (weight)
  • Capacity
  • Time
  • Temperature
  • Know and compare metric units
  • Length
  • Weight
  • Capacity
  • Time
  • Temperature
  • Change metric units to customary units
  • Change customary units to metric units
  • Convert to same unit
  • Basic operations with measurements
  • Like units
  • Unlike units
  • Pre-Algebra

  • Signed Numbers
  • Add and Subtract
  • Multiply and Divide
  • Order of operations
  • Addition and subtraction
  • Multiplication and division
  • Exponents
  • Parentheses
  • Basic terms
  • Variables
  • Expressions
  • Equations
  • Evaluate expressions using variables
  • Solve equations using basic operations
  • One-step equations
  • Two-step equations
  • Add
  • Subtract
  • Multiply
  • Divide
  • Distributive property
  • Multiply binomials
  • FOIL
  • Square binomials
  • Geometry

  • Points, lines, planes
  • Angles
  • Acute, obtuse, right
  • Complementary, supplementary, right
  • Angles made by transversals
  • Triangles
  • Sum of angles
  • Types of triangles
  • Identified by angles
  • acute, obtuse, right
  • Identified by sides
  • scalene
  • Attitude, mean, bisector
  • Congruent triangles
  • Pytheogoreum theory
  • Special right triangles
  • Polygons
  • Basic terms
  • Plane shapes
  • Sum of angles
  • Interior angles
  • Exterior angles
  • Square, rectangle, rhombus
  • Parallelograms
  • Trapezoid
  • Perimeter and area
  • Square
  • Rectangle
  • Parallelogram
  • Triangle
  • Trapezoids
  • Circle
  • Terms
  • Pi
  • Perimeter and area
  • Solid Shapes
  • Square area and volume
  • Prism
  • Cuboid and cube
  • Cylinder
  • Pyramid
  • Cone
  • Sphere
  • Co-ordinate geometry
  • Points and co-ordinates
  • Co-ordinates and axes
  • Ordered pairs
  • Quadrants
  • Distance formula
  • Mid-point formula
  • Slope of a line
  • Equation of a line
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