Course/Grade Levels Units

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  • Course Code
    MA.MMA00092/MMA00093
    Content Area
    Math
    Description
    Math 7/8 is an accelerated course that merges Math 8 and part of Math 7 skills and concepts. Instructional time will focus on nine critical areas: (1) formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations; (2) grasping the concept of a function and using functions to describe quantitative relationships; (3) working with two- and three-dimensional shapes to solve problems involving scale drawings, area, surface area, and volume; (4) analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem; (5) solving problems involving scale drawings and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume; (6) drawing inferences about populations based on samples; (7) developing an understanding of simple probability models and using them to make predictions; (8) extending the number system to include irrational numbers and (9) develop an understanding of exponential properties to simplify expressions and apply them to scientific notation.

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Unit Description
Details
1Equations and Inequalities
Students will solve multi-step linear equations and inequalities.  They will identify the solution set for an inequality and if an equation has one solution, infinitely-many solutions or no solution.
10Transformations, Similarity and Congruence
Students will find missing side lengths and angle measures for congruent and similar polygons.  They will identify and perform transforms on polygons in the coordinate plane.
11Exponents
Students will use properties of integer exponents to simplify numerical and algebraic expressions. 

2Angle Relationships
Students will classify and determine the measures of angles created when parallel lines that are cut by a transversal and set up and solve equations to find the measure of angles in diagrams and shapes.  They will use similar triangles to solve problems that include height and distance.
3Geometric Measurement
Students will find the circumference and area of circles; solve problems involving surface area and volume of prisms, pyramids and cylinders.
4Linear Equations
Students will compare proportional relationships represented in different ways interpreting unit rate as the slope.  They will graph and write linear equations in slope-intercept form.
5Statistics
Students will use samples to draw inferences about populations and compare two populations using measures of center and variability.
6Systems of Linear Equations
Students will solve systems of two linear equations.  When given a system of two linear equations in slope-intercept form, students will find the solution by graphing or using substitution.  When given a system with one equation in slope-intercept form and one in standard form, they will find the solution using substitution. (They will not be introduced to systems with both linear equations in standard form or the elimination method.)
7Functions
Students will identify if a relation is a function and if a function is linear or not; graph linear functions and compare and write functions represented in different ways.  They will analyze and sketch graphs of functions that represent given situations; construct scatter plots, find the lines of best fit and use these equations to solve problems - interpreting the slope and y-intercept in context.

8Probability
Students will develop probability models and use them to find them to find theoretical probabilities of an event (including compound events).
9Real Numbers and the Pythagorean Theorem
Students will estimate and evaluate square and cube roots.  They will use the Pythagorean Theorem to find missing measures of right triangles and distances in the coordinate plane.