In Math 6, students will build the concepts of ratio and rate and use them to solve problems. They will extend the number system to rational numbers and will write, use, and interpret numeric and algebraic expressions and equations. Finally, they will develop statistical thinking.

Topic 2 Integers and the Coordinate Plane

• 15 Days, Quarter 1
• Students extend what they know about whole numbers to work with integers and absolute value. Students apply their understanding of integers and rational numbers to graph points on the coordinate plane.

Topic 1 Positive Rational Numbers

• 21 Days, Quarter 1
• Students use algorithms to add, subtract, multiply, and divide fractions, mixed numbers, and decimals through thousandths. They use estimation to determine whether an answer is reasonable.

Topic 3 Numeric and Algebra Expressions

• 21 Days, Quarter 1 – Quarter 2
• Students work with numerical expressions that have more than one operation. They then extend that knowledge to work with algebraic expressions, which include at least one variable, or unknown quantity.

Topic 4 Equations and Inequalities

• 23 Days, Quarter 2
• Students learn that a problem situation can often be represented by an equation or an inequality that includes a variable. The equation or inequality can then be solved to find a solution to the problem situation.

Topic 5 Ratio and Rate

• 25 Days, Quarter 3
• Students use ratios and rates, including unit rates, to solve problems.

Topic 6 Percent

• 15 Days, Quarter 3
• Students use percents to solve problems.

Topic 7 Variability in Data and Distributions

• 21 Days, Quarter 4
• Students study data sets and how to display and analyze them.

Topic 8 Area, Surface Area, and Volume

• 22 Days, Quarter 4
• Students begin by using formulas to find the area of different polygons. They then progress to learning about nets, which are patterns for three-dimensional figures, and the surface areas of those figures. The topic ends with a lesson on volume.

In Math 7, students will focus on proportional relationships and develop understanding of operations with rational numbers. They will work with linear expressions and equations and with scale drawings and geometric constructions, and solve problems involving area, surface area, and volume. Finally, Math 7 students will draw inferences about populations based on samples.

Topic 1 Rational Number Operations

• 21 Days, Quarter 1
• Students learn about operations with integers, and then extend that learning to expressions with negative fractions and decimals. Students will also solve problems with rational numbers.

Topic 2 Proportional Relationships

• 19 Days, Quarter 1
• Students extend their understanding of ratios to write equivalent ratios and proportions.

Topic 3 Percent Problems

• 17 Days, Quarter 2
• Students extend their understanding of proportional relationships to percents. They progress from writing percents as proportions to using the percent equation to solve real-world problems.

Topic 4 Equivalent Expressions

• 21 Days, Quarter 2
• Students work with algebraic expressions, which are mathematical expressions with at least one variable (such as 4x or t – 5). They use properties of operations to write and analyze expressions, focusing on the Distributive Property.

Topic 5 Multi-Step Equations and Inequalities

• 23 Days, Quarter 3
• Students write and solve equations and inequalities to model real-world situations.

Topic 8 Geometry

• 21 Days, Quarter 3
• Students explore geometry, beginning with two-dimensional figures and moving to three-dimensional figures. Students extend their understanding of proportional relationships to scaled drawings, and to the relationship between circumference and diameter of a circle. They learn about side and angle relationships in triangles and angles formed by intersecting lines. Then they explore surface area and volume of prisms, pyramids and composite shapes.

Topic 6 Samples and Populations

• 15 Days, Quarter 4
• Students extend their understanding of data and data analysis. They analyze both numerical and categorical data sets and determine the appropriate way to display a data set.

Topic 7 Probability

• 21 Days, Quarter 4
• Students explore probability. They determine the likelihood of an event and calculate both theoretical and experimental probability. They learn that as an experiment is repeated, its experimental probability approaches its theoretical probability.

Math 7/8 Compacted is a combination of the content in both Math 7 and Math 8. Students will cover two years of standards in one school year.

Students will focus on proportional relationships and develop understanding of operations with rational numbers. They will work with linear expressions and equations. Students will model real world situations, including bivariate data, using linear equations and systems of linear equations. Students will solve problems involving scale drawings and geometric constructions, and involving area, surface area, and volume. Students will draw inferences about populations based on samples. They will analyze two- and three-dimensional figures using distance, angle, similarity, and congruence, along with applying the Pythagorean Theorem.

Topic 1 Rational Number Operations

• 16 Days, Quarter 1
• Students learn about operations with integers, and then extend that learning to expressions with negative fractions and decimals. Students will also solve problems with rational numbers.

Topic 5 Equivalent Expressions

• 17 Days, Quarter 1
• Students work with algebraic expressions, which are mathematical expressions with at least one variable (such as 4x or t – 5). They use properties of operations to write and analyze expressions, focusing on the Distributive Property.

Topic 6 Multi-Step Equations and Inequalities

• 18 Days, Quarter 1 – Quarter 2
• Students write and solve equations and inequalities to model real-world situations.

Topic 7 Linear Equations Part 1

• 11 Days, Quarter 2
• Students extend their understanding of equations to solving two-step and multistep equations. They then move on to solving two-step inequalities. Students also graph and analyze linear equations.

Topic 3 Proportional Relationships

• 13 Days, Quarter 2
• Students extend their understanding of ratios to write equivalent ratios and proportions.

Topic 7 Linear Equations Part 2

• 9 Days, Quarter 2 – Quarter 3
• Students extend their understanding of equations to solving two-step and multistep equations. They then move on to solving two-step inequalities. Students also graph and analyze linear equations.

Topic 4 Percent Problems

• 9 Days, Quarter 3
• Students extend their understanding of proportional relationships to percents. They progress from writing percents as proportions to using the percent equation to solve real-world problems.

Topic 10 Geometry

• 16 Days, Quarter 3
• Students explore geometry, beginning with two-dimensional figures and moving to three-dimensional figures. Students extend their understanding of proportional relationships to scaled drawings, and to the relationship between circumference and diameter of a circle. They learn about side and angle relationships in triangles and angles formed by intersecting lines. Then they explore surface area and volume of prisms, pyramids and composite shapes.

Topic 13 Surface Area and Volume

• 7 Days, Quarter 3
• Students learn how to find the surface area and volume of cylinders, cones, and spheres.

Topic 8 Samples and Populations

• 7 Days, Quarter 3
• Students extend their understanding of data and data analysis. They analyze both numerical and categorical data sets and determine the appropriate way to display a data set.

Topic 9 Probability

• 10 Days, Quarter 4
• Students explore probability. They determine the likelihood of an event and calculate both theoretical and experimental probability. They learn that as an experiment is repeated, its experimental probability approaches its theoretical probability.

Topic 5 (in Math 8) Systems of Linear Equations

• 5 Days, Quarter 4
• Students learn about systems of linear equations, and how to solve them. A system of equations can be used to represent real-world situations and solve problems.

Topic 2 Real Numbers

• 13 Days, Quarter 4
• Students extend what they know about numbers to include irrational numbers, which are numbers, such as π or √2, that cannot be written in the form a/b, where a and b are integers and b≠0. They also learn about integer exponents, powers of 10, and solve problems with scientific notation.

Topic 12 The Pythagorean Theorem

• 4 Days, Quarter 4
• Students study how to apply the Pythagorean Theorem to find unknown side lengths of a right triangle and to determine if a triangle is a right triangle. They then use the Pythagorean Theorem to solve real world problems.

Topic 11 Congruence and Similarity

• 9 Days, Quarter 4
• Students study transformations (translations, reflections, rotations, and dilations), congruent figures, and similar figures.

In Math 8, students will model real world situations, including bivariate data, using linear equations and systems of linear equations. They will progress in their ability to solve equations using properties of equality and develop an understanding of functions. Finally, Math 8 students will analyze two- and three-dimensional figures using distance, angle, similarity, and congruence, along with applying the Pythagorean Theorem.

Topic 2 Linear Equations

• 25 Days, Quarter 1
• Students extend their understanding of equations to solving two-step and multistep equations. They then move on to solving two-step inequalities. Students also graph and analyze linear equations.

Topic 3 Functions

• 17 Days, Quarter 1 – Quarter 2
• Students learn about functions, which are mathematical relationships with exactly one output (result) for each input.

Topic 4 Bivariate Data

• 17 Days, Quarter 2
• Students study and graph sets of data that occur in pairs.

Topic 5 Systems of Linear Equations

• 14 Days, Quarter 2
• Students learn about systems of linear equations, and how to solve them. A system of equations can be used to represent real-world situations and solve problems.

Topic 1 Real Numbers

• 24 Days, Quarter 3
• Students extend what they know about numbers to include irrational numbers, which are numbers, such as π or √2, that cannot be written in the form a/b, where a and b are integers and b≠0. They also learn about integer exponents, powers of 10, and solve problems with scientific notation.

Topic 6 Congruence and Similarity

• 24 Days, Quarter 3 – Quarter 4
• Students study transformations (translations, reflections, rotations, and dilations), congruent figures, and similar figures.

Topic 7 The Pythagorean Theorem

• 12 Days, Quarter 4
• Students study how to apply the Pythagorean Theorem to find unknown side lengths of a right triangle and to determine if a triangle is a right triangle. They then use the Pythagorean Theorem to solve real world problems.

Topic 8 Surface Area and Volume

• 14 Days, Quarter 4
• Students learn how to find the surface area and volume of cylinders, cones, and spheres.

An additional math class, taken concurrently with grade-level math, designed to support students in the core class through pre-teaching and focusing on math habits, growth mindset, and cultural and historical contributions to math.

There are four components of this course. First, pre-teach key content to position students to confidently engage in their core class. The Desmos curriculum is used to support pre-teaching, along with instructional strategies like number talks, problem strings, and rich tasks. Second, develop student’s habits of mind which blend mathematical mindsets with other research-based practices that support students learning mathematics. Third, teach students about growth mindset and how their brain grows. Fourth, engage students in learning about cultural contributions and history of mathematics, notable diverse mathematicians, and math in careers through the Humans Doing Math curriculum developed by Andrew McDonald. This course must be taught using the Math Empowerment curriculum materials. It is designed to include the four components mentioned above in a specific scope and sequence to support student engagement and learning. Teachers of Math Empowerment courses are required to attend the Math Empowerment Summer Institute and participate in the Math Empowerment Cohort throughout the year.
This is an additional math class, taken concurrently with grade-level math. Students may be in 6th, 7th, or 8th grade math courses. Math Empowerment sections are specific to grade level. For example, if a student is in Math 6, they would be enrolled in Math Empowerment with other 6th grade students who are also in Math 6. Students are recruited into the course, not placed. There should be communication with families and students prior to enrollment.

An additional math class, taken concurrently with grade-level math designed to support student success in core math content. This is an elective course.

The main components of this course are: Teach key content ahead of time to position students competently in core instruction​. Address learning gaps just-in-time to support access to core content. Provide further opportunities for students to deepen understanding and connections among mathematical ideas. Help students develop a growth mindset and self-efficacy.

This progression could be considered by students who plan to attend college but are not pursing an option in which Calculus is required.

Students interested in social sciences or history might choose this progression. 

• 6th Grade: Math 6
• 7th Grade: Math 7/8
• 8th Grade: Algebra 1
• 9th Grade: Geometry
• 10th Grade: Algebra 2
• 11th Grade: Precalculus or IB Math HL
• 12th Grade: Calculus or Statistics or IB Math HL

• 6th Grade: Math 6
• 7th Grade: Math 7
• 8th Grade: Math 8 and Algebra 1
• 9th Grade: Geometry
• 10th Grade: Algebra 2
• 11th Grade: Precalculus or IB Math HL
• 12th Grade: Calculus or Statistics or IB Math HL

• 6th Grade: Math 6
• 7th Grade: Math 7
• 8th Grade: Math 8
• 9th Grade: Algebra 1 and Geometry
• 10th Grade: Algebra 2
• 11th Grade: Precalculus or IB Math HL
• 12th Grade: Calculus or Statistics or IB Math HL

• 6th Grade: Math 6
• 7th Grade: Math 7
• 8th Grade: Math 8
• 9th Grade: Algebra 1
• 10th Grade: Geometry and Algebra 2
• 11th Grade: Precalculus or IB Math HL
• 12th Grade: Calculus or Statistics or IB Math HL