Level 6 Math Enrichment Class

$1,400

Grade: Level 6
CODE: GR6M-2023
Total hours: 42
Class Schedule: Tuesday 7:30 pm-8:30 pm
Duration: August 23rd 2022 – May’16 th 2023

Description

Math 7 and Math 7 Honors, Course details

Unit 1 : Number Sense

  • Solve practical problems involving operations with rational numbers.
  • Single-step and multistep practical problems, using proportional reasoning.
  • Describe the relationships between the subsets of the real number system.
  • Estimate and determine the two consecutive integers between which a square root lies
  • Determine both the positive and negative square roots of a given perfect square.
  • Identify and describe absolute value of rational numbers.
  • Add, subtract, multiply and divide square roots.
  • Investigate and describe the concept of positive and negative exponents
  • Compare and order numbers greater than zero written in scientific notation;

Unit 2 : Ratios and Proportions

  • The student will represent relationships between quantities using ratios, and will use appropriate notations, such as , a to b, and a : b
  • Relationship between corresponding sides of similar quadrilaterals and triangles.
  • Represent a proportional relationship between two quantities, including those arising from practical situations;
  • Determine the unit rate of a proportional relationship and use it to find a missing value in a ratio table;
  • Determine whether a proportional relationship exists between two quantities; and
  • Make connections between and among representations of a proportional relationship between two quantities using verbal descriptions, ratio tables, and graphs.

Unit 3 : Basic Algebra

  • The student will evaluate algebraic expressions for given replacement values of the variables.
  • Simplify algebraic expressions in one variable.
  • Determine whether a given relation is a function
  • Determine the domain and range of a function.

Unit 4 : Linear Equations and Functions

  • The student will solve one-step linear equations in one variable, including practical problems that require the solution of a one-step linear equation in one variable.
  • Determine the slope, m, as rate of change in a proportional relationship between two quantities and write an equation in the form y = mx to represent the relationship;
  • Graph a line representing a proportional relationship between two quantities given the slope and an ordered pair, or given the equation in y = mx­ form where m represents the slope as rate of change;
  • Determine the y-intercept, b, in an additive relationship between two quantities and write an equation in the form y = x + b to represent the relationship;
  • Graph a line representing an additive relationship between two quantities given the y-intercept and an ordered pair, or given the equation in the form y = x + b, where b represents the y-intercept
  • Make connections between and among representations of a proportional or additive relationship between two quantities using verbal descriptions, tables, equations, and graphs.
  • Recognize and describe the graph of a linear function with a slope that is positive, negative, or zero
  • Identify the slope and y-intercept of a linear function, given a table of values, a graph, or an equation in y = mx + b form
  • Determine the independent and dependent variable, given a practical situation modeled by a linear function
  • Graph a linear function given the equation in y = mx + b form
  • Make connections between and among representations of a linear function using verbal descriptions, tables, equations, and graphs.
  • Multistep linear equations in one variable with the variable on one or both sides of the equation, including practical problems that require the solution of a multistep linear equation in one variable.

Unit 5 : Linear Inequalities

  • Represent a practical situation with a linear inequality in one variable
  • solve one-step linear inequalities in one variable, involving addition or subtraction, and graph the solution on a number line.
  • The student will solve one- and two-step linear inequalities in one variable, including practical problems, involving addition, subtraction, multiplication, and division, and graph the solution on a number line.

Unit 6 : Geometry

  • Identify the components and graph ordered pairs in a coordinate plane.
  • Relationships among pairs of angles that are vertical angles, adjacent angles, supplementary angles, corresponding angles, and complementary angles to determine the measure of unknown angles.
  • Find the missing angle of the triangle and quadrilateral
  • Given a polygon, apply transformations, to include translations, reflections, and dilations, in the coordinate plane

Unit 7 : Measurement

  • Solve problems, involving circumference and area of a circle
  • Pythagorean Theorem and its applications
  • Solve problems, including practical problems, involving area and perimeter of quadrilaterals
  • Area and perimeter of composite plane figures
  • Find the missing side dimensions of 2-D figures
  • Solve problems and determine the volume and surface area of rectangular prisms and cylinders
  • Solve problems, including practical problems, involving volume and surface area of cones and square-based pyramids
  • Describe how changing one measured attribute affects the volume and surface area of the 3-D figures
  • Nets of 3-D figures

Unit 8 : Probability and Statistics ( classes 4 )

  • Represent data in a histogram;
  • Make observations and inferences about data represented in a histogram; and
  • Compare histograms with the same data represented in stem-and-leaf plots, line plots, and circle graphs.
  • Mean, Median ,Mode, Range, Lower and Upper quartile values for the given data set.
  • Determine the effect on measures of center when a single value of a data set is added, removed, or changed.
  • Represent numerical data in box-plots;
  • Make observations and inferences about data represented in box-plots
  • Compare and analyze two data sets using box-plots.
  • Compare the probability of independent and dependent events
  • Determine probabilities for independent and dependent events.
  • Represent data in scatterplots
  • Make observations about data represented in scatterplots; and
  • Use a drawing to estimate the line of best fit for data represented in a scatterplot.