Grade 8 – Math-U-See
BC Learning Outcomes Correlation

Problem Solving
All Levels
  • identify practical problems involving mathematics in a variety of contexts
All Levels
  • demonstrate a readiness to take risks in expressing ideas and conjectures when solving problems
All Levels
  • demonstrate a willingness to engage in problem-solving processes
All Levels
  • select and apply appropriate strategies in solving problems
All Levels
  • describe the process used to solve a given problem
All Levels
  • demonstrate a readiness to work with others to solve problems
All Levels
  • develop and describe a plan to solve a problem, using a variety of information sources and strategies
All Levels
  • solve problems integrating the application of mathematical content areas as required
All Levels
  • assess and improve the plan used to solve a problem
All Levels
  • apply appropriate technology to assist in problem solving
   
 Number Concepts
Algebra 1
  • demonstrate and explain the meaning of a negative exponent
Algebra 1
  • represent any number in scientific notation
Zeta, Pre-Algebra
  • compare and order rational numbers
Epsilon, Zeta, Pre-Algebra
  • express the product of reciprocals as equal to one concretely, pictorially, and symbolically
Zeta, Pre-Algebra
  • express two- and three-term ratios in equivalent forms
Epsilon, Zeta
  • represent and apply fractional percents and percents greater than 100 in fraction or decimal form and vice versa
Pre-Algebra
  • represent square roots concretely, pictorially, and symbolically
Delta, Algebra 1
  • explain why division by zero is undefined
   
Number Operations I
Epsilon
  • add, subtract, multiply, and divide fractions concretely, pictorially, and symbolically without the use of a calculator
Alpha, Beta, Gamma, Delta, Epsilon
  • estimate, compute, and verify the sum, difference, product, and quotient of rational numbers
Pre-Algebra
  • estimate and verify approximate square roots of whole numbers and decimals
   
Number Operations II
Gamma, Delta, Zeta
  • derive and apply unit rates using real-world situations
Zeta
  • demonstrate equivalent forms of rates and ratios
Zeta, Pre-Algebra & Algebra 1
  • use concepts of ratio, rate, proportion, and percent to solve problems:
Zeta
  • given two numbers, determine the percent that one is of the other
Zeta
  • determine the percent of a given number
Zeta
  • given the percent of a number, determine the number
Zeta, Pre-Algebra
  • solve consumer problems:
Zeta
  • markup, discount
  • simple interest
  • tax calculation
 
 Patterns & Relations (Patterns)
All Levels
  • analyze a problem by identifying a pattern and generalize the pattern using mathematical expressions and equations
All Levels
  • test mathematical expressions or equations by substitution and comparison of patterns
Algebra 1
  • display in graphic form the table of values created from an algebraic equation and draw conclusions from the pattern created
Pre-Algebra, Algebra 1
  • translate between a verbal or written expression and an equivalent algebraic expression
   
Patterns & Relations (Variables and Equations)
Pre-Algebra & Algebra 1
  • illustrate the solutions of a two-step, single-variable, first-degree equation, using concrete materials, diagrams, or symbols
Pre-Algebra & Algebra 1
  • solve and verify one- and two-step, first-degree equations of the following forms:
  • x + a = b
  • ax = b
  • ax + b = c
  • a(x + b) = c
  • where a, b, and c are rational numbers
Pre-Algebra & Algebra 1
  • create and solve problems using first-degree equations
   
Shape & Space (Measurement I)
Pre-Algebra
  • demonstrate an understanding of the Pythagorean relationship graphically, symbolically, and verbally
Pre-Algebra
  • apply the Pythagorean relationship to calculate the measure of the third side of a right triangle given the other two sides
   
Shape & Space (Measurement II)
Gamma, Delta, Zeta, Pre-Algebra
  • determine patterns that fit the areas and perimeters of squares, triangles, parallelograms, trapezoids, and circles, and apply the observed patterns to determine relationships and formulae
Gamma, Delta, Zeta, Pre-Algebra
  • use formulae to determine areas of squares, triangles, parallelograms, trapezoids, and circles
Delta, Pre-Algebra
  • estimate, measure, and calculate the surface area and volume of right prisms and cylinders
Pre-Algebra
  • estimate and calculate the area of composite 2-D shapes
Pre-Algebra
  • estimate, measure, and calculate the surface area and volume of composite 3-D objects
   
Shape & Space (3-D Objects and 2-D Shapes)
Alpha, Delta, Zeta
  • identify and classify quadrilaterals, regular polygons, and circles according to their properties
  • construct 3-D objects from a variety of representations
Delta, Zeta, Pre-Algebra
  • apply concepts of shape and space to solve real-world problems
All Levels
  • demonstrate an appreciation of the role of mathematics in 2-D design
   
Shape & Space (Transformations)
Pre-Algebra
  • represent, analyze, and describe enlargement and reduction
Pre-Algebra
  • demonstrate and interpret scale diagrams
  • describe, create, analyze, and solve network problems
 
Statistics & Probability (Data Analysis)
 
  • formulate statistical questions for investigating real-world situations
  • select, use, and defend appropriate methods of collecting data:
  • designing and using surveys
  • researching using a range of media
  • select, use, and defend appropriate methods of displaying data
Pre-Algebra Honors
  • present analyses and conclusions based on displayed data
Pre-Algebra Honors
  • determine and use the most appropriate measure of central tendency in a given context
  • describe the variability of given data using range or box-and-whisker plots
Pre-Algebra Honors
  • analyze sets of data by comparing different measures of central tendency
Pre-Algebra Honors
  • identify bias in data presentations
 
Statistics & Probability (Chance and Uncertainty)
Zeta, Pre-Algebra Honors
  • use computer or other simulations in solving probability and data-collection problems
  • determine the probability of n possible, equally likely events occurring
  • determine the probability of n possible, equally likely events occurring when there are m favorable events
  • determine the probability of two independent events with a limited space
  • demonstrate an understanding of the concept of odds in win-or-lose situations, when the probability of winning is known