Middle School Math Courses

All math courses are based on the CA Mathematics Standards.
MATH 6
Textbook: Big Ideas Math Course 1
Topics Taught: Understanding and applying the concepts of ratios and unit rates, and using the correct language to describe them (for example, the ratio of wings to beaks in a flock of birds is 2 to 1, because for every 2 wings there is 1 beak)
 Building on knowledge of multiplication and division to divide fractions by fractions
 Understanding that positive and negative numbers are located on opposite sides of 0 on a number line
 Using pairs of numbers, including negative numbers, as coordinates for locating or placing a point on a graph
 Writing and determining the value of expressions with wholenumber exponents (such as 15+32 )
 Identifying and writing equivalent mathematical expressions by applying the properties of operations. For example, recognizing that 2 (3+x) is the same as 6+2x
 Understanding that solving an equation such as 2+x = 12 means answering the question, “What number does x have to be to make this statement true?”
 Representing and analyzing the relationships between independent and dependent variables
 Solving problems involving area and volume
MATH 7
Textbook: Big Ideas Math Course 2
Topics Taught: Rates, ratios, proportions, and percentages to solve multistep problems
 Identifying the unit rate of change in tables, graphs, equations, and verbal descriptions
 Calculating the unit rates associated with ratios of fractions, including quantities measured in different units
 Solving problems using equations to find the value of one missing variable
 Applying the properties of operations to generate equivalent mathematical expressions
 Solving multistep word problems by adding, subtracting, multiplying, and dividing positive and negative rational numbers in any form (including whole numbers, fractions, or decimals)
 Understanding that numbers cannot be divided by 0
 Converting rational numbers to decimals using long division
 Describing situations in which positive and negative quantities combine to make 0
 Finding the area of twodimensional objects and the volume and surface area of threedimensional objects
MATH 8
Textbook: Big Ideas Math Course 3
Topics Taught: Understanding that every rational number (such as ½, 0.3, 2, or 2) can be written as a decimal, but that the decimal form of an irrational number (such as 2 ) is both nonrepeating and infinite
 Applying the properties of exponents to generate equivalent numerical expressions
 Determining the value of square roots of small perfect squares (such as 49= 7) and cube roots of small perfect cubes (such as 3 64=4)
 Graphing proportional relationships and interpreting the unit rate as the slope (how steep or flat a line is)
 Solving and graphing one and twovariable linear equations
 Understanding that a function is a rule that assigns to each value of x exactly one value of y, such as y=2x, a rule that would yield such ordered pairs as (2,4), (3,6), and (4,8)
 Comparing the properties of two functions represented in different ways (in a table, graph, equation, or description)
 Determining congruence (when shapes are of equal size and shape) and similarity (same shape but different sizes)
 Learning and applying the Pythagorean Theorem (an equation relating the lengths of the sides of a right triangle: a2 + b2 = c2 )
 Solving problems involving the volume of cylinders, cones, and spheres
ACCELERATED MATH 6/7A
Textbook: Big Ideas Math Advanced 1
ACCELERATED MATH 7B/8
Textbook: Big Ideas Math Advanced 2
ALGEBRA I
Textbook: Big Ideas Math Algebra 1
Note: The above descriptions were provided by National PTA Parent Roadmaps.