• 7-12 Grade

     

    Instructors:

    Joan Conway

    Laura DeWees

    Kristin Guse

    Mike Holub

    Todd Hovda

    Leah Lumley

    Roxy Meyer

    Anne Mitchell

    Mandi Nohner

    Grant Popp

    Jena Schoenrock

    Sheryl Wilder

     

    Number Sense:  Students will be able to read, write, represent, classify, calculate, and compare real numbers and use them to solve problems in real world and mathematical problems.


    Algebra:  Students will be able to recognize different types of equations in real world and mathematical situations and represent these equations in various forms.  Students will also be able to solve and interpret the solutions.  


    Geometry & Measurements:  Student will be able to know and apply properties of geometric figures to solve real world and mathematical problems and to logically justify their results.

     

    Data Analysis & Probability:  Students will be able to explain the uses of data and statistical thinking to draw inferences, make predictions, and justify conclusions. Student will be able to display and analyze data.  Students will be able to calculate probabilities and apply probability concepts to solve real world and mathematical problems.  

    Essentials of Pre-Algebra

    1. Describe rational numbers, integers,fractions, decimals.
    2. Use rational numbers in all operations to solve real world problems.
    3. Understand proportional relationships.
    4. Represent proportional relationships in various contexts.
    5. Understand number properties.
    6. Use order of operations to evaluate expressions.
    7. Represent and solve linear relationships using equations.
    8. Demonstrate understanding of circumference and diameter, volume and surface area of cylinders.
    9. Describe similar figures, determine scale factors, and use proportions to solve problems with scale and conversions.
    10. Graph translations and reflections of figures.
    11. Use mean, median, and range to draw data conclusions.
    12. Interpret data in circle graphs and histograms
    13. Express probabilities as percents, fractions, and decimals.
    14. Use proportions to predict outcomes based on probabilities.

     

    Pre-Algebra

    1. Understand rational numbers as a ratio or division of two integers.
    2. Locate, plot, compare, and understand positive and negative rational numbers.
    3. Use real world math to show relationship of positive and negative rational numbers, including calculating simple and compound interest.
    4. Add, subtract, multiply, divide, and use exponents with positive and negative rational numbers.
    5. Distinguish proportional relationships y/x = k, y=kx.
    6. Represent proportional relationships with tables, equations, graphs, etc.; translate from one to another, and determine the unit rate (slope or constant).
    7. Solve multi-step proportional relationship problems and assess the reasonableness of solutions.
    8. Represent real-world situations using equations and inequalities.
    9. Use properties of algebra to generate equivalent numerical and algebraic expressions containing rational numbers, grouping symbols, and whole number exponents. Properties of algebra include associative, commutative, and distributive laws.
    10. Evaluate expressions with rational numbers and exponents with and without a calculator.
    11. Represent and solve equations using variables, including equations from proportional relationships.
    12. Express probability as percents, decimals, and fractions.
    13. Use proportional reasoning to interpret data in graphs, to predict, and draw conclusions of outcomes based on probabilities.
    14. Determine mean, median, and range of data from simple experiments.
    15. Describe, compare, and determine scale factors of similarity.
    16. Apply scale factors, length ratios, and area ratios to geometric figures.
    17. Find volume and surface area of cylinders and justify formulas.

     

    Linear Algebra 7th Grade

    1. Students will be able to apply PEMDAS to integers and other rational numbers.
    2. Understand and apply Rules of Exponents (4)
    3. Solve 2-step and multi-step equations
    4. Solve 2-step and multi-step inequalities and graph them on a number line
    5. Understand the use of variables in equations and inequalities
    6. Identify linear equations (slope & y-intercept)
    7. Graph linear equations
    8. Understand the concept of proportionality in real-world situations, and distinguish between proportional and other relationships
    9. Find volume and surface area of cylinders and justify formulas.
    10. Describe, compare, and determine scale factors of similarity.
    11. Use proportional reasoning to interpret data in graphs, to predict, and draw conclusions of outcomes based on probabilities.
    12. Solve problems involving right triangles using the Pythagorean Theorem and its converse.
    13. Classify real numbers as rational or irrational.
    14. Express probability as percents, decimals, and fractions.
    15. Represent proportional relationships with tables, equations, graphs, etc.; translate from one to another, and determine the unit rate (slope or constant).
    16. Determine mean, median, and range of data from simple experiments.

     

    Linear Algebra 8th Grade

    1. Students will be able to apply PEMDAS to integers and other rational numbers.
    2. Understand and apply Rules of Exponents (4)
    3. Solve 2-step and multi-step equations
    4. Solve 2-step and multi-step inequalities and graph them on a number line
    5. Understand the use of variables in equations and inequalities
    6. Identify linear equations (slope & y-intercept)
    7. Graph linear equations
    8. Understand the concept of proportionality in real-world situations, and distinguish between proportional and other relationships
    9. Find volume and surface area of cylinders and justify formulas.
    10. Describe, compare, and determine scale factors of similarity.
    11. Use proportional reasoning to interpret data in graphs, to predict, and draw conclusions of outcomes based on probabilities.
    12. Solve problems involving right triangles using the Pythagorean Theorem and its converse.
    13. Classify real numbers as rational or irrational.
    14. Express probability as percents, decimals, and fractions.
    15. Represent proportional relationships with tables, equations, graphs, etc.; translate from one to another, and determine the unit rate (slope or constant).
    16. Determine mean, median, and range of data from simple experiments.

     

    Algebra I

    1. Students will use Graphing Calculators
    2. Write and Solve Proportions
    3. Identify Slope
    4. Write and solve Linear Equations
    5. Solve Multi-Step Equations
    6. Solve Multi-Step Inequalities
    7. Distributive Property
    8. Solve and graph Systems of Equations
    9. Solve and graph Systems of Inequalities
    10. Understand and apply rules of exponents (6)
    11. Identify graphs of functions
    12. Identify and solve the absolute value function
    13. Identify and solve squared function
    14. Students will be able to multiply binomials (FOIL)
    15. Students will have an introduction to equations of parallel lines
    16. Students will have an introduction to equations of perpendicular lines

     

    Geometry

    1. Recognize and solve problems that can be modeled using geometric sequences.
    2. Know the Geometry vocabulary - point, line, plane, space, ray, angle, segment.
    3. Use technology (Geometry sketchpad software) to test conjectures and and develop mathematical reasoning.
    4. Know transversals and the different angles
    5. Find slope and determine if lines are parallel and perpendicular.
    6. Interpret and use words and phrases in “if-then” form of statements.
    7. Know and apply properties of all types of triangles to solve problems.
    8. Know and apply properties of congruent figures to solve problems.
    9. Create flowchart proofs to justify reasoning
    10. Assemble and disassemble two dimensional figures to determine the perimeter and area of shapes.
    11. Use properties of polygons to define and classify them as well as solve problems involving polygons.
    12. Assemble and disassemble three dimensional figures to determine the surface area and volume of shapes.
    13. Know and apply properties of similar figures to solve problems.
    14. Know and apply the Pythagorean Theorem and converse to solve problems and logically justify results.
    15. Know and apply properties of 45-45-90 and 30-60-90 degree triangles to solve problems.
    16. Understand and apply the relationship that the scale factor has on an area of a shape is to square the scale factor and the effect on volume of a shape is to cube the scale factor.

     

    Geometry with Algebra Support

    ***THIS CLASS NO LONGER EXISTS***

    1. Recognize and solve problems that can be modeled using geometric sequences.
    2. Know the Geometry vocabulary - point, line, plane, space, ray, angle, segment.
    3. Use technology (Geometry sketchpad software) to test conjectures and and develop mathematical reasoning.
    4. Know transversals and the different angles
    5. Find slope and determine if lines are parallel and perpendicular.
    6. Interpret and use words and phrases in “if-then” form of statements.
    7. Know and apply properties of all types of triangles to solve problems.
    8. Know and apply properties of congruent figures to solve problems.
    9. Create flowchart proofs to justify reasoning
    10. Assemble and disassemble two dimensional figures to determine the perimeter and area of shapes.
    11. Use properties of polygons to define and classify them as well as solve problems involving polygons.
    12. Assemble and disassemble three dimensional figures to determine the surface area and volume of shapes.
    13. Know and apply properties of similar figures to solve problems.
    14. Know and apply the Pythagorean Theorem and converse to solve problems and logically justify results.
    15. Know and apply properties of 45-45-90 and 30-60-90 degree triangles to solve problems.
    16. Understand and apply the relationship that the scale factor has on an area of a shape is to square the scale factor and the effect on volume of a shape is to cube the scale factor.
    17. Review linear algebra skills, such as: Order of operations, solving one- two- and multi-step equations, using slope and distance formulas,
    18. Factor trinomial expressions.

    19. Multiply binomials.

    20. Solve quadratic equations by factoring, graphing, and using the quadratic formula.

    21. Complete simple operations using complex numbers.

    22. Analyze data using measures of center and spread.

    23. Use counting principles, permutations, and combinations to calculate the probabilities of events occurring.

    24. Solve problems using right triangle trigonometry.

    25. Understand and use function notation.

       

    Pre-Calculus

    1. Solve linear equations and inequalities
    2. Write equations of lines in three forms.
    3. Understand function vocabulary and properties.-Step Equations
    4. Solve Multi-Step Inequalities
    5. Distributive Property
    6. Solve and graph Systems of Equations
    7. Solve and graph Systems of Inequalities
    8. Understand and apply rules of exponents (6)
    9. Identify graphs of functions
    10. Identify and solve the absolute value function
    11. Identify and solve squared function
    12. Students will be able to multiply binomials (FOIL)
    13. Students will have an introduction to equations of parallel lines
    14. Students will have an introduction to equations of perpendicular lines

    .

    Algebra II

    1. Write, graph, and solve linear equations and systems.
    2. Graph, solve, and apply properties of absolute value, square root, quadratic equations.
    3. Write equations and apply the properties of exponents and logarithms to solve real world problems.
    4. Factor trinomial expressions.
    5. Multiply binomials.
    6. Solve quadratic equations by factoring, graphing, and using the quadratic formula.
    7. Complete simple operations using complex numbers.
    8. Analyze data using measures of center.
    9. Use counting principles, permutations, and combinations to calculate the probabilities of events occurring.
    10. Solve problems using right triangle trigonometry.
    11. Understand and use function notation.

     

    Advanced Algebra

    1. Write, graph, and solve linear equations and systems.
    2. Graph, solve, and apply properties of absolute value, square root, quadratic equations.
    3. Write equations and apply the properties of exponents and logarithms to solve real world problems.
    4. Know and understand the 12 parent functions.
    5. Find the zeros of polynomial functions by factoring and synthetic division.
    6. Solve logarithmic and exponential equations.
    7. Understand and apply the properties of logarithms.
    8. Analyze sequences and series
    9. Calculate statistics and data.
    10. Understand basic combinatorics and probability.
    11. Solve systems of equations
    12. Understand conic sections.
    13. Understand degree and radian measure.
    14. Understand the relationship between the 6 trig functions.
    15. Know and apply simple trigonometric relationships.

     

    AP Calculus

    1. Evaluate limits from a table, graphically, and algebraically.
    2. Understand and apply the Intermediate Value Theorem, Extreme Value Theorem, and the Mean Value Theorem.
    3. Find the derivative of a function
    4. Use and apply the product, quotient, and chain rule
    5. Calculate tangent and normal lines
    6. Understand differentiability and continuity
    7. Find derivatives using Implicit differentiation
    8. Solve Related rates and optimization problems
    9. Connect the properties of f, f ’, an f ‘’
    10. Learn and apply the five commandments of particle motion
    11. Approximate area using Riemann and trapezoidal sums
    12. Understand and apply the properties of definite integrals and apply the First Fundamental Theorem numerically and graphically.
    13. Apply the Fundamental Theorems of Calculus
    14. Identify and create slope fields that represent the general solutions of differential equations.
    15. Find volumes of solids of revolution using the disk and washer method and known cross sections.

     

    Statistics

    1. Overview of methods of data collection
    2. Planning and conducting surveys
    3. Planning and conducting experiments
    4. Generalize results and conclusions from observational studies, experiments, and surveys
    5. Constructing and interpreting graphical displays of distributions of univariate data
    6. Summarizing distributions of univariate data
    7. Comparing distributions of univariate data
    8. Exploring bivariate data
    9. Exploring categorical data
    10. Probability
    11. Combining independent random variables
    12. 12.The normal distribution
    13. Sampling distributions
    14. Estimation (point estimators and confidence intervals)
    15. Test of significance

     

    CIS Math

    1. Write, graph, solve, and apply linear equations.
    2. Write and solve systems of linear equations and inequalities.  
    3. Use technology to represent data and find regression equations.
    4. Write, graph, solve, and apply quadratic, absolute value, radical, and power equations.
    5. Identify and transform various functions using shifting, stretching, and reflecting.
    6. Identify and find inverse functions.
    7. Apply the properties of exponents and logarithms to simplify expressions and solve equations.
    8. Graph and solve polynomial and rational equations.  Identify and calculate extrema.
    9. Apply synthetic division to polynomial equations.
    10. Apply counting methods and basic probability to calculate possible outcomes.
    11. Solve real world problems through modeling and communicate results using mathematical language.

     

     

    PLC February 24, 2016    
    Essentials    
    Pre-Algebra 7th mid/low  
    Linear Algebra 7th mid/high   8th mid/low  
    Algebra I/Intermediate

    Finish through Chapter 9 by MCA

    end of tri.  Take some of the remainder of the trimester to cover the basics of the graphing calculator and hit on chapter 11...How to simplify and multiply radicals.

    Linear equations: What are the essentials?

     

    8th grade: Chapter 5 Linear functions: Make sure that midpoint and distance formula is covered.  Transforming Linear functions not covered yet, but it was not a concern.  Students need to be exposed to quadratics before they get to Adv. Algebra.
     
    Algebra II Needs review before Adv. Alg  
    Advanced Algebra