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.