Rockford Public Schools believes that all students are able to learn and understand math at high levels. The mathematics program is designed so that every student has access to and is successful with rigorous mathematics. It demands that students develop a depth of understanding and ability to apply mathematics to real-life situations as college students and employees do on a daily basis.
In prekindergarten through grade 8 mathematics, the standards lay a solid foundation in whole numbers, addition, subtraction, multiplication, division, fractions, and decimals. Students develop understanding of concepts, procedures, and applications of mathematics. Elementary students develop a fluid and flexible use of numbers and operations. Taken together, these elements support a student’s ability to learn and apply more demanding mathematics concepts and procedures in middle and high school.
In High School, math classrooms focus on authentic problem solving, problem solving in teams, and mixed spaced practice. Learning essential mathematics as a need that arises from problem solving and collaboration makes important concepts and procedures more valuable and memorable. These classrooms also provide teachers and students the path away from the rote memorization of checklists of discrete facts, toward the mathematics defined and outlined in the Illinois State Standards for Mathematics.
Rockford Public School’s mathematics programs calls on students to practice applying mathematical ways of thinking to real world issues and challenges; they require students to think and reason mathematically. Children mature mathematically at different paces, throughout each grade level, and demonstrate various levels of implementation of the eight mathematical practices. These behaviors develop over time and often emerge during certain learning activities and through the study of specific, critical mathematics topics and standards.
Students of mathematics have daily opportunities to develop how to think and reason mathematically. They develop behaviors of mathematically proficient students who:
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning.
The RPS curriculum is researched and written by Rockford teachers and is designed to provide students a thorough grounding in essential knowledge and skills that will give them a leading edge in tomorrow's global environment. Our curriculum challenges students to develop inquiry skills, solve problems, innovate, collaborate, communicate effectively, and achieve goals.
The RPS curriculum is aligned to the New Illinois Learning Standards. These standards for literacy and mathematics education resulted from a state-led effort coordinated by the National Governors Association Center for Best Practices (NGA Center) and the Council of Chief State School Officers (CCSSO). The Standards were developed in collaboration with teachers, school administrators and experts, to provide a clear and consistent framework to prepare our children for college and the workforce.
RPS Curriculum is:
1. Deep: Mastery of essential skills is emphasized at each level, so students build the skills and confidence to tackle more advanced concepts.
2. Broad: Instruction crosses content areas – for example, science and social studies curriculum incorporates reading, math, and writing skills.
3. Relevant: Classroom lessons are reinforced through hands-on activities and real-world experiences.
4. Active: Students learn by exploration, using creativity, critical thinking and analysis to discover answers to problems, and practice collaboration and effective communication.
Students talking and collaborating should occur often every day during math, not just at one particular time (during number talks, problem solving, partner work, games, etc., kids are talking about the math). They should be reasoning, explaining, modeling, comparing, justifying- being a mathematician. More info in the Standards for Mathematical Practice.
The Elementary Math Framework and Middle School Math Framework allot 5-10 minutes for a short activity every day for students to practice computational strategies. This does NOT have to be at the start of your math block, though that is most common. If you have a 10 minute gap in your schedule, use that time to engage students in an activity that allows THEM to think deeply, problem solve, develop strategies, communicate, reason and justify mathematical ideas. Number or Problem talks and strings are most commonly used during this time. More info here.
A Number talk is displaying one problem or image to elicit many different strategies and models from the students (formative assessment).
A Number string is a set of related problems given in a particular order to lead students to a particular strategy (introduce & practice ONE strategy).
QUALITY INSTRUCTION
We prioritize active learning, safety, and relationships to help all students grow.
Practice 3: Students build number sense to develop a fluid and flexible use of numbers and operations.
Metric K-5: Observations reflect students’ use of flexible thinking and efficient strategies consistent with the Standards of Mathematical Practice.
"Key Shifts in Mathematics” https://achievethecore.org/page/900/college-and-career-ready-shifts-in-mathematics
K–2 Addition and subtraction—concepts, skills, and problem solving; place value
3–5 Multiplication and division of whole numbers and fractions—concepts, skills, and problem solving
6th Ratios and proportional relationships; early expressions and equations
7th Ratios and proportional relationships; arithmetic of rational numbers
8th Linear equations and linear functions
*For a list of major, additional, and supporting clusters by grade, please refer to ‘Focus in Math’ at achievethecore.org/focus
Progressions for the Common Core State Standards for Mathematics
©Common Core Standards Writing Team 2023
These are routines to support ELL students but are great for all learners!
A 'math language routine' refers to a structured but adaptable format for amplifying, assessing, and developing students' language. More information and examples of each of these routines can be found here.
Ready Teacher Toolbox information about resources to support Language Development.
Kindergarten WIDA standards Can Do descriptors
1st grade WIDA standards Can Do descriptors
2nd grade WIDA standards Can Do descriptors
3rd grade WIDA standards Can Do descriptors
4th grade WIDA standards Can Do descriptors
5th grade WIDA standards Can Do descriptors
6-8th grade WIDA standards Can Do descriptors