Below you can find the Breakthrough National Math Curriculum, sorted by grade and by unit. CLICK HERE for General Curriculum Resources.
NOTE: These resources were most recently updated in 2018. Updates will take place over the next few years, and this website will be updated with new resources as they become available. All UPDATED resources are highlighted in YELLOW.
Unit Overview
Students will identify a community problem that they want to analyze such as exercise times compared to student moods, income compared to housing costs in their neighborhoods, or income compared to access to healthy food options in their neighborhoods. Using their knowledge of data analysis, function interpretation, and their ability to write expressions and equations, students will identify trends for their community problem and offer a solution to the problem.
Unit Learning Outcomes
Students will be able to use structures to create and interpret expressions, create and solve equations, interpret functions, and work with data. Students will use their algebraic skills to collect and interpret data for a statistical problem within their community.
Math Curriculum User's Guide - This guide is intended for site directors, instructional coaches, and teaching fellows - read before you teach any Breakthrough math unit.
Math Lesson Spectrum - All Grades - This shows the spectrum of available lessons for math, spanning from rising 7th through rising 9th grades, and include each sub-unit.
7th Grade Math Unit Plans and Spectrum - This unit plan and lesson spectrum reviews skills specific for 7th grade students. It also contains a 'lower-level' and 'higher-level' sample unit plan for the Breakthrough summer.
8th Grade Math Unit Plans and Spectrum - This unit plan and lesson spectrum reviews skills specific for 8th grade students. It also contains a 'lower-level' and 'higher-level' sample unit plan for the Breakthrough summer.
9th Grade Math Unit Plans and Lesson Spectrum - This unit plan and lesson spectrum reviews skills specific for 9th grade students. It also contains a 'lower-level' and 'higher-level' sample unit plan for the Breakthrough summer.
Establishing a Culture of Learning (2 lessons) - This two-lesson unit is designed as an introductory lesson that can be taught in all grade levels, 7-9. Start your summer with this unit.
Number Sense (11 lessons) - An 11-lesson unit including adding, subtracting, dividing, and multiplying rational numbers, as well as order of operations.
Functions (15 lessons) - This 10-lesson unit focuses on applying basic functions, graphing functions on a coordinate plane, and interpreting and building functions.
Ratios and Proportions (14 lessons) - This 14-lesson unit explores ratios, rates, percentages, and proportions.
Geometry (19 lessons) - This 19-lesson unit focuses on applying concepts and skills of geometric measurement, understanding congruence and similarity of geometric shapes, applying the Pythagorean Theorem to solve real-world problems, and understanding and applying trigonometric ratios.
Expressions and Equations (28 lessons) - This 28-lesson unit focuses on expressions and equations, from graphing inequalities to solving systems of equations and solving one and two-step equations.
Math Assessment Materials - This folder contains the item bank of questions to create your own math assessments (pre- and post-tests or unit quizzes). It also contains a sample pre- and post-test for each grade (7,8,9).
Math Summer Data Tracker Template - This template offers a variety of ways to track student data over the course of the summer, and includes a specific tracker to assess pre- and post-test growth, if desired.
Shared Resources
NOTE: As this is curriculum shared by affiliates and not generated by the National Office, it has not undergone a review process and is not the work of the National Office.